diff --git a/fastlib/u/gmravi/regression/build.py b/fastlib/u/gmravi/regression/build.py index bf2d23fe7e..39571e0d11 100644 --- a/fastlib/u/gmravi/regression/build.py +++ b/fastlib/u/gmravi/regression/build.py @@ -1,7 +1,7 @@ binrule( - name = "main_final", # the executable name - sources = ["main_final.cc"], - headers = ["regression_new.h","regression2.h"], # no extra headers + name = "main_new", # the executable name + sources = ["main_new.cc"], + headers = ["regression_new1.h"], # no extra headers deplibs = ["fastlib:fastlib_int"] ) diff --git a/fastlib/u/gmravi/regression/colors50k.ds b/fastlib/u/gmravi/regression/colors50k.ds deleted file mode 100644 index b516373a1d..0000000000 --- a/fastlib/u/gmravi/regression/colors50k.ds +++ /dev/null @@ -1,50002 +0,0 @@ -g_r,r_i - -0.865,0.4618 -0.3941,-0.2404 -0.9091,0.3859 -0.5165,0.2739 -0.8496,0.485 -0.8744,0.2414 -1.8666,0.5676 -1.7377,0.611 -1.2585,0.5266 -1.9584,0.683 -1.1628,0.4662 -1.5157,0.5867 -0.5606,0.342 -0.7244,0.3672 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b/fastlib/u/gmravi/regression/fft_kde.h deleted file mode 100644 index eee0084aaf..0000000000 --- a/fastlib/u/gmravi/regression/fft_kde.h +++ /dev/null @@ -1,883 +0,0 @@ -#ifndef FFT_KDE_H -#define FFT_KDE_H - -#include -#include - -/** - * computing kernel estimate using Fast Fourier Transform: I have - * used multidimensional fast fourier transform called ffteasy - */ -class FFTKde { - - private: - - /** constant TAU */ - static const double TAU = 4.0; - - /** query dataset */ - Matrix qset_; - - /** reference dataset */ - Matrix rset_; - - /** kernel */ - GaussianKernel kernel_; - - /** computed densities */ - Vector densities_; - - /** number of grid points along each dimension */ - int m_; - - /** number of points along each dimension in the zero padded */ - ArrayList size_; - - /** minimum coordinate along each dimension */ - Vector mincoords_; - - ArrayList minindices_; - - /** maximum coordinate along each dimension */ - Vector maxcoords_; - - /** difference between min and max along each dimension */ - Vector diffcoords_; - - /** size of grid along each dimension */ - Vector gridsizes_; - - /** kernel weights along each dimension */ - ArrayList kernelweights_dims_; - - /** total number of grid points */ - int numgridpts_; - - /** grid box volume */ - double gridbinvolume_; - - /** discretized dataset storing the assigned kernel weights */ - Vector discretized_; - - int nyquistnum_; - - Vector d_fnyquist_; - - Vector k_fnyquist_; - - Vector kernelweights_; - - // preprocessing: scaling the dataset; this has to be moved to the dataset - // module - /* scales each attribute to 0-1 using the min/max values */ - void scale_data_by_minmax() { - - int num_dims = rset_.n_rows(); - DHrectBound<2> qset_bound; - DHrectBound<2> rset_bound; - qset_bound.Init(qset_.n_rows()); - rset_bound.Init(qset_.n_rows()); - - // go through each query/reference point to find out the bounds - for(index_t r = 0; r < rset_.n_cols(); r++) { - Vector ref_vector; - rset_.MakeColumnVector(r, &ref_vector); - rset_bound |= ref_vector; - } - for(index_t q = 0; q < qset_.n_cols(); q++) { - Vector query_vector; - qset_.MakeColumnVector(q, &query_vector); - qset_bound |= query_vector; - } - - for(index_t i = 0; i < num_dims; i++) { - DRange qset_range = qset_bound.get(i); - DRange rset_range = rset_bound.get(i); - double min_coord = min(qset_range.lo, rset_range.lo); - double max_coord = max(qset_range.hi, rset_range.hi); - double width = max_coord - min_coord; - - for(index_t j = 0; j < rset_.n_cols(); j++) { - rset_.set(i, j, (rset_.get(i, j) - min_coord) / width); - } - if(fx_param_str(NULL, "query", NULL) != NULL) { - for(index_t j = 0; j < qset_.n_cols(); j++) { - qset_.set(i, j, (qset_.get(i, j) - min_coord) / width); - } - } - } - } - - /** - * Do a Fourier transform of an array of N complex numbers separated by - * steps of (complex) size skip. The array f should be of length 2N*skip - * and N must be a power of 2. Forward determines whether to do a - * forward transform (1) or an inverse one (-1) - */ - void fftc1(double *f, int N, int skip, int forward) { - - int b, index1, index2, trans_size, trans; - double pi2 = 4. * asin(1.); - - // used in recursive formula for Re(W^b) and Im(W^b) - double pi2n, cospi2n, sinpi2n; - - // wk = W^k = e^(2 pi i b/N) in the Danielson-Lanczos formula for a - // transform of length N - struct complex wb; - - // buffers for implementing recursive formulas - struct complex temp1, temp2; - - // treat f as an array of N complex numbers - struct complex *c = (struct complex *)f; - - // Place the elements of the array c in bit-reversed order - for(index1 = 1, index2 = 0; index1 < N; index1++) { - - // to find the next bit reversed array index subtract leading 1's from - // index2 - for(b = N / 2; index2 >= b; b /= 2) { - index2 -= b; - } - - // Next replace the first 0 in index2 with a 1 and this gives the - // correct next value - index2 += b; - - // swap each pair only the first time it is found - if(index2 > index1) { - temp1 = c[index2 * skip]; - c[index2 * skip] = c[index1 * skip]; - c[index1 * skip] = temp1; - } - } - - // Next perform successive transforms of length 2,4,...,N using the - // Danielson-Lanczos formula - - // trans_size = size of transform being computed - for(trans_size = 2; trans_size <= N; trans_size *= 2) { - - // +- 2 pi/trans_size - pi2n = forward * pi2 / (double)trans_size; - - // Used to calculate W^k in D-L formula - cospi2n = cos(pi2n); - sinpi2n = sin(pi2n); - - // Initialize W^b for b=0 - wb.real = 1.; - wb.imag = 0.; - - // Step over half of the elements in the transform - for(b = 0; b < trans_size / 2; b++) { - - // Iterate over all transforms of size trans_size to be computed - for(trans = 0; trans < N / trans_size; trans++) { - - // Index of element in first half of transform being computed - index1 = (trans * trans_size + b) * skip; - - // Index of element in second half of transform being computed - index2 = index1 + trans_size / 2 * skip; - temp1 = c[index1]; - temp2 = c[index2]; - - // implement D-L formula - c[index1].real = temp1.real + wb.real * temp2.real - - wb.imag * temp2.imag; - c[index1].imag = temp1.imag + wb.real * temp2.imag + - wb.imag * temp2.real; - c[index2].real = temp1.real - wb.real * temp2.real + - wb.imag * temp2.imag; - c[index2].imag = temp1.imag - wb.real * temp2.imag - - wb.imag * temp2.real; - } - temp1 = wb; - - // Real part of e^(2 pi i b/trans_size) used in D-L formula - wb.real = cospi2n * temp1.real - sinpi2n * temp1.imag; - - // Imaginary part of e^(2 pi i b/trans_size) used in D-L formula - wb.imag = cospi2n*temp1.imag + sinpi2n*temp1.real; - } - } - - // For an inverse transform divide by the number of grid points - if(forward<0) { - for(index1 = 0; index1 < skip * N; index1 += skip) { - c[index1].real /= N; - c[index1].imag /= N; - } - } - } - - /** - * Do a Fourier transform of an ndims dimensional array of complex numbers - * Array dimensions are given by size[0],...,size[ndims-1]. Note that these - * are sizes of complex arrays. The array f should be of length - * 2*size[0]*...*size[ndims-1] and all sizes must be powers of 2. - * Forward determines whether to do a forward transform (1) or an inverse - * one(-1) - */ - void fftcn(double *f, int ndims, int *size, int forward) { - - // These determine where to begin successive transforms and the skip - // between their elements (see below) - int planesize = 1, skip = 1; - - // Total size of the ndims dimensional array - int totalsize = 1; - - // determine total size of array - for(index_t dim = 0; dim < ndims; dim++) { - totalsize *= size[dim]; - } - - // loop over dimensions - for(index_t dim = ndims - 1; dim >= 0; dim--) { - - // planesize = Product of all sizes up to and including size[dim] - planesize *= size[dim]; - - // Take big steps to begin loops of transforms - for(index_t i = 0; i < totalsize; i += planesize) { - - // Skip sets the number of transforms in between big steps as well as - // the skip between elements - for(index_t j = 0; j < skip; j++) { - - // 1-D Fourier transform. (Factor of two converts complex index to - // double index.) - fftc1(f + 2 * (i + j), size[dim], skip, forward); - } - } - // Skip = Product of all sizes up to (but not including) size[dim] - skip *= size[dim]; - } - } - - /** - * Do a Fourier transform of an array of N real numbers - * N must be a power of 2 - * Forward determines whether to do a forward transform (>=0) or an inverse - * one(<0) - */ - void fftr1(double *f, int N, int forward) { - - int b; - - // pi2n = 2 Pi/N - double pi2n = 4. * asin(1.) / N, cospi2n = cos(pi2n), sinpi2n = sin(pi2n); - - // wb = W^b = e^(2 pi i b/N) in the Danielson-Lanczos formula for a - // transform of length N - struct complex wb; - - // Buffers for implementing recursive formulas - struct complex temp1, temp2; - - // Treat f as an array of N/2 complex numbers - struct complex *c = (struct complex *)f; - - // Do a transform of f as if it were N/2 complex points - if(forward == 1) { - fftc1(f, N / 2, 1, 1); - } - - // initialize W^b for b = 0 - wb.real = 1.; - wb.imag = 0.; - - // Loop over elements of transform. See documentation for these formulas - for(b = 1; b < N / 4; b++) { - - temp1 = wb; - - // Real part of e^(2 pi i b/N) used in D-L formula - wb.real = cospi2n * temp1.real - sinpi2n * temp1.imag; - - // Imaginary part of e^(2 pi i b/N) used in D-L formula - wb.imag = cospi2n * temp1.imag + sinpi2n * temp1.real; - temp1 = c[b]; - temp2 = c[N / 2 - b]; - c[b].real = .5 * (temp1.real + temp2.real + forward * wb.real * - (temp1.imag + temp2.imag) + wb.imag * - (temp1.real - temp2.real)); - c[b].imag = .5 * (temp1.imag-temp2.imag - forward * wb.real * - (temp1.real - temp2.real) + wb.imag * - (temp1.imag + temp2.imag)); - c[N/2-b].real = .5 * (temp1.real + temp2.real - forward * wb.real * - (temp1.imag + temp2.imag) - wb.imag * - (temp1.real - temp2.real)); - c[N/2-b].imag = .5 * (-temp1.imag + temp2.imag - forward * wb.real * - (temp1.real - temp2.real) + wb.imag * - (temp1.imag + temp2.imag)); - } - - temp1 = c[0]; - - // set b = 0 term in transform - c[0].real = temp1.real+temp1.imag; - - // put b = N / 2 term in imaginary part of first term - c[0].imag = temp1.real-temp1.imag; - - if(forward == -1) { - c[0].real *= .5; - c[0].imag *= .5; - fftc1(f, N / 2, 1, -1); - } - } - - /** - * Do a Fourier transform of an ndims dimensional array of real numbers - * Array dimensions are given by size[0],...,size[ndims-1]. All sizes must - * be powers of 2. The (complex) nyquist frequency components are stored in - * fnyquist[size[0]][size[1]]...[2*size[ndims-2]] - * Forward determines whether to do a forward transform (1) or an inverse - * one (-1) - */ - void fftrn(double *f, double *fnyquist, int ndims, int *size, int forward) { - - int i, j, b; - - // Positions in the 1-d arrays of points labeled by indices - // (i0,i1,...,i(ndims-1)); indexneg gives the position in the array of - // the corresponding negative frequency - int index,indexneg = 0; - int stepsize; // Used in calculating indexneg - - // The size of the last dimension is used often enough to merit its own - // name. - int N = size[ndims - 1]; - - // pi2n = 2Pi / N - double pi2n = 4. * asin(1.) / N, cospi2n = cos(pi2n), sinpi2n = sin(pi2n); - - // wb = W^b = e^(2 pi i b/N) in the Danielson-Lanczos formula for a - // transform of length N - struct complex wb; - - // Buffers for implementing recursive formulas - struct complex temp1, temp2; - - // Treat f and fnyquist as arrays of complex numbers - struct complex *c = (struct complex *)f, - *cnyquist = (struct complex *)fnyquist; - - // Total number of complex points in array - int totalsize = 1; - - // Indices for looping through array - ArrayList indices; - indices.Init(ndims); - - // Set size[] to be the sizes of f viewed as a complex array - size[ndims - 1] /= 2; - - for(i = 0; i < ndims; i++) { - totalsize *= size[i]; - indices[i] = 0; - } - - // forward transform - if(forward == 1) { - - // Do a transform of f as if it were N/2 complex points - fftcn(f, ndims, size, 1); - - // Copy b=0 data into cnyquist so the recursion formulas below for b=0 - // and cnyquist don't overwrite data they later need - for(i = 0; i < totalsize / size[ndims - 1]; i++) { - - // Only copy points where last array index for c is 0 - cnyquist[i] = c[i * size[ndims - 1]]; - } - } - - // Loop over all but last array index - for(index = 0; index < totalsize; index += size[ndims-1]) { - - wb.real = 1.; /* Initialize W^b for b=0 */ - wb.imag = 0.; - - // Loop over elements of transform. See documentation for these formulas - for(b = 1; b < N / 4; b++) { - - temp1 = wb; - - // Real part of e^(2 pi i b/N_real) used in D-L formula - wb.real = cospi2n*temp1.real - sinpi2n*temp1.imag; - - // Imaginary part of e^(2 pi i b/N_real) used in D-L formula - wb.imag = cospi2n*temp1.imag + sinpi2n*temp1.real; - - temp1 = c[index + b]; - - // Note that N-b is NOT the negative frequency for b. Only - // nonnegative b momenta are stored. - temp2 = c[indexneg + N / 2 - b]; - - c[index + b].real = .5 * (temp1.real + temp2.real + forward * wb.real * - (temp1.imag + temp2.imag) + wb.imag * - (temp1.real - temp2.real)); - c[index + b].imag = .5 * (temp1.imag - temp2.imag - forward * wb.real * - (temp1.real - temp2.real) + wb.imag * - (temp1.imag + temp2.imag)); - c[indexneg + N / 2 - b].real = .5 * (temp1.real + temp2.real - - forward * - wb.real * - (temp1.imag + temp2.imag) - - wb.imag * - (temp1.real - temp2.real)); - c[indexneg + N / 2 - b].imag = .5 * (-temp1.imag + temp2.imag - - forward * wb.real * - (temp1.real - temp2.real) + - wb.imag * - (temp1.imag + temp2.imag)); - } - temp1 = c[index]; - - // Index is smaller for cnyquist because it doesn't have the last - // dimension - temp2 = cnyquist[indexneg / size[ndims - 1]]; - - // Set b=0 term in transform - c[index].real = .5 * (temp1.real + temp2.real + forward * - (temp1.imag + temp2.imag)); - c[index].imag = .5 * (temp1.imag - temp2.imag - forward * - (temp1.real - temp2.real)); - - // Set b=N/2 transform. - cnyquist[indexneg / size[ndims - 1]].real = - .5 * (temp1.real + temp2.real - forward * (temp1.imag + temp2.imag)); - cnyquist[indexneg / size[ndims - 1]].imag = - .5 * (-temp1.imag + temp2.imag - forward * (temp1.real - temp2.real)); - - // Find indices for positive and single index for negative frequency. - // In each dimension indexneg[j]=0 if index[j]=0, - // indexneg[j]=size[j]-index[j] otherwise. - - // amount to increment indexneg by as each individual index is - // incremented - stepsize = size[ndims - 1]; - - // If the rightmost indices are maximal reset them to 0. Indexneg goes - // from 1 to 0 in these dimensions - for(j = ndims - 2; j >= 0 && indices[j] == size[j] - 1; j--) { - indices[j] = 0; - indexneg -= stepsize; - stepsize *= size[j]; - } - - // If index[j] goes from 0 to 1 indexneg[j] goes from 0 to size[j]-1 - if(j >= 0 && indices[j] == 0) { - indexneg += stepsize * (size[j] - 1); - } - // Otherwise increasing index[j] decreases indexneg by one unit. - else { - indexneg -= stepsize; - } - - // This avoids writing outside the array bounds on the last pass - // through the array loop - if(j >= 0) { - indices[j]++; - } - } // End of i loop (over total array) - - // inverse transform - if(forward == -1) { - fftcn(f, ndims, size, -1); - } - - // Give the user back the array size[] in its original condition - size[ndims - 1] *= 2; - - } - - void assign_weights(int reference_pt_num, int level, double volume, int pos, - int skip) { - if(level == -1) { - discretized_[pos] += volume; - } - else { - - // Recurse in the right direction - double coord = rset_.get(level, reference_pt_num); - double leftgridcoord = mincoords_[level] + minindices_[level] * - gridsizes_[level]; - double rightgridcoord = leftgridcoord + gridsizes_[level]; - double leftvolume = volume * (rightgridcoord - coord); - double rightvolume = volume * (coord - leftgridcoord); - int nextskip = size_[level] * skip; - int nextleftpos = pos + skip * minindices_[level]; - - if(leftvolume > 0.0) { - assign_weights(reference_pt_num, level - 1, leftvolume, nextleftpos, - nextskip); - } - - if(rightvolume > 0.0) { - assign_weights(reference_pt_num, level - 1, rightvolume, - nextleftpos + skip, nextskip); - } - } - } - - void retrieve_weights(int query_pt_num, double volume, int level, int pos, - int skip, double divfactor) { - - if(level == -1) { - densities_[query_pt_num] += discretized_[pos] * volume / divfactor; - } - else { - - // Recurse in the right direction - double coord = qset_.get(level, query_pt_num); - double leftgridcoord = mincoords_[level] + minindices_[level] * - gridsizes_[level]; - double rightgridcoord = leftgridcoord + gridsizes_[level]; - double leftvolume = volume * (rightgridcoord - coord); - double rightvolume = volume * (coord - leftgridcoord); - int nextskip = size_[level] * skip; - int nextleftpos = pos + skip * minindices_[level]; - - if(leftvolume > 0.0) { - retrieve_weights(query_pt_num, leftvolume, level - 1, nextleftpos, - nextskip, divfactor); - } - if(rightvolume > 0.0) { - retrieve_weights(query_pt_num, rightvolume, level - 1, - nextleftpos + skip, nextskip, divfactor); - } - } - } - - /** - * Query the normalized density for each query point. - */ - void RetrieveDensities() { - - double normc = - (kernel_.CalcNormConstant(rset_.n_rows()) * rset_.n_cols()); - - for(index_t r = 0; r < qset_.n_cols(); r++) { - densities_[r] = 0.0; - - for(index_t d = 0; d < qset_.n_rows(); d++) { - minindices_[d] = (int) floor((qset_.get(d, r) - mincoords_[d])/ - gridsizes_[d]); - } - retrieve_weights(r, 1.0, qset_.n_rows() - 1, 0, 1, - gridbinvolume_ * normc); - } - } - - void discretize_dataset() { - - // Temporary used to count the number of elements in the enlarged - // matrices for the kernel weights and bin counts. Also calculate the - // volume of each grid bin. - numgridpts_ = 1; - gridbinvolume_ = 1.0; - - double min, max; - - // Find the min/max in each coordinate direction, and calculate the grid - // size in each dimension. - for(index_t d = 0; d < qset_.n_rows(); d++) { - int possiblesample; - min = MAXDOUBLE; - max = -MAXDOUBLE; - - for(index_t r = 0; r < rset_.n_cols(); r++) { - double coord = rset_.get(d, r); - if(coord > max) - max = coord; - if(coord < min) - min = coord; - } - - // Following Silverman's advice here - mincoords_[d] = min; - maxcoords_[d] = max; - diffcoords_[d] = maxcoords_[d] - mincoords_[d]; - gridsizes_[d] = diffcoords_[d] / ((double) m_ - 1); - gridbinvolume_ *= gridsizes_[d]; - - // Determine how many kernel weight calculation to do for this - // dimension. - kernelweights_dims_[d] = m_ - 1; - possiblesample = (int) floor(TAU * sqrt(kernel_.bandwidth_sq()) / - gridsizes_[d]); - - if(kernelweights_dims_[d] > possiblesample) { - if(possiblesample == 0) { - possiblesample = 1; - } - kernelweights_dims_[d] = possiblesample; - } - - // Wand p440: Need to calculate the actual dimension of the matrix - // after the necessary 0 padding of the kernel weight matrix and the - // bin count matrix. - size_[d] = (int) ceil(log(m_ + kernelweights_dims_[d]) / log(2)); - size_[d] = 1 << size_[d]; - - numgridpts_ *= size_[d]; - } - - // Allocate the memory for discretized grid count matrix and initialize - // it. - discretized_.Init(numgridpts_); - discretized_.SetZero(); - - double inv_gvolume = 1.0 / gridbinvolume_; - - // Now loop over each data and calculate the weights at each grid point. - for(index_t r = 0; r < rset_.n_cols(); r++) { - - // First locate the bin the data point falls into and identify it by - // the lower grid coordinates. - for(index_t d = 0; d < rset_.n_rows(); d++) { - minindices_[d] = (int) floor((rset_.get(d, r) - mincoords_[d])/ - gridsizes_[d]); - } - - // Assign the weights around the neighboring grid points due to this - // data point. This results in 2^num_dims number of recursion per data - // point. - assign_weights(r, qset_.n_rows() - 1, inv_gvolume, 0, 1); - } - - } - - void gaussify(double acc, double precalc, int level, int pos, int skip) { - - if(level == -1) { - kernelweights_[pos] = exp(precalc * acc); - } - else { - int half = kernelweights_dims_[level]; - int g; - for(g = 0; g <= half; g++) { - double addThis = g * gridsizes_[level]; - double newacc = acc + addThis * addThis; - int newskip = skip * size_[level]; - - gaussify(newacc, precalc, level - 1, pos + skip * g, newskip); - - // If this is not the 0th frequency, then do the mirror image thingie. - if(g != 0) { - gaussify(newacc, precalc, level - 1, - pos + skip * (size_[level] - g), newskip); - } - } - } - } - - - public: - - struct complex { - double real; - double imag; - }; - - FFTKde() {} - - ~FFTKde() {} - - // getters and setters - - /** get the reference dataset */ - Matrix &get_reference_dataset() { return rset_; } - - /** get the query dataset */ - Matrix &get_query_dataset() { return qset_; } - - /** get the density estimate */ - const Vector &get_density_estimates() { return densities_; } - - void Init(Matrix &qset, Matrix &rset) { - - printf("Initializing FFT KDE...\n"); - fx_timer_start(NULL, "fft_kde_init"); - - // initialize the kernel and read in the number of grid points - kernel_.Init(fx_param_double_req(NULL, "bandwidth")); - m_ = fx_param_int(NULL, "num_grid_pts_per_dim", 128); - - // set aliases to the query and reference datasets and initialize - // query density sets - qset_.Alias(qset); - densities_.Init(qset_.n_cols()); - rset_.Alias(rset); - - // scale dataset if the user wants to - if(!strcmp(fx_param_str(NULL, "scaling", NULL), "range")) { - scale_data_by_minmax(); - } - - // initialize member variables. - size_.Init(qset_.n_rows()); - minindices_.Init(rset_.n_rows()); - mincoords_.Init(qset_.n_rows()); - maxcoords_.Init(qset_.n_rows()); - diffcoords_.Init(qset_.n_rows()); - gridsizes_.Init(qset_.n_rows()); - kernelweights_dims_.Init(qset_.n_rows()); - - // set up the discretized grid for the reference dataset - discretize_dataset(); - - nyquistnum_ = 2 * numgridpts_ / size_[rset_.n_rows() - 1]; - - d_fnyquist_.Init(nyquistnum_); - k_fnyquist_.Init(nyquistnum_); - kernelweights_.Init(numgridpts_); - - fx_timer_stop(NULL, "fft_kde_init"); - printf("FFT KDE initialization completed...\n"); - } - - void Init() { - - const char *rfname = fx_param_str_req(NULL, "data"); - const char *qfname = fx_param_str(NULL, "query", rfname); - - // initialize the kernel and read in the number of grid points - kernel_.Init(fx_param_double_req(NULL, "bandwidth")); - m_ = fx_param_int(NULL, "num_grid_pts_per_dim", 128); - - // read reference dataset - Dataset ref_dataset; - ref_dataset.InitFromFile(rfname); - rset_.Own(&(ref_dataset.matrix())); - - // read query dataset if different - if(!strcmp(qfname, rfname)) { - qset_.Alias(rset_); - } - else { - Dataset query_dataset; - query_dataset.InitFromFile(qfname); - qset_.Own(&(query_dataset.matrix())); - } - - // scale dataset if the user wants to - if(!strcmp(fx_param_str(NULL, "scaling", NULL), "range")) { - scale_data_by_minmax(); - } - - printf("Initializing FFT KDE...\n"); - fx_timer_start(NULL, "fft_kde_init"); - - // initialize member variables. - size_.Init(qset_.n_rows()); - densities_.Init(qset_.n_cols()); - minindices_.Init(rset_.n_rows()); - mincoords_.Init(qset_.n_rows()); - maxcoords_.Init(qset_.n_rows()); - diffcoords_.Init(qset_.n_rows()); - gridsizes_.Init(qset_.n_rows()); - kernelweights_dims_.Init(qset_.n_rows()); - - // set up the discretized grid for the reference dataset - discretize_dataset(); - - nyquistnum_ = 2 * numgridpts_ / size_[rset_.n_rows() - 1]; - - d_fnyquist_.Init(nyquistnum_); - k_fnyquist_.Init(nyquistnum_); - kernelweights_.Init(numgridpts_); - fx_timer_stop(NULL, "fft_kde_init"); - printf("FFT KDE initialization completed...\n"); - - } - - void Compute() { - - printf("Computing FFT KDE...\n"); - fx_timer_start(NULL, "fft_kde"); - - // FFT the discretized bin count matrix. - d_fnyquist_.SetZero(); - k_fnyquist_.SetZero(); - kernelweights_.SetZero(); - fftrn(discretized_.ptr(), d_fnyquist_.ptr(), rset_.n_rows(), - size_.begin(), 1); - - // Calculate the required kernel weights at each grid point. This matrix - // will be convolved with fourier transformed data set. - double precalc = -0.5 / kernel_.bandwidth_sq(); - gaussify(0.0, precalc, rset_.n_rows() - 1, 0, 1); - - // FFT the kernel weight matrix. - fftrn(kernelweights_.ptr(), k_fnyquist_.ptr(), - rset_.n_rows(), size_.begin(), 1); - - // We need to invoke the convolution theorem for FFT here. Take each - // corresponding complex number in kernelweights and discretized and do - // an element-wise multiplication. Later, pass it to inverse fft function, - // and we have our answer! - for(index_t d = 0; d < numgridpts_; d += 2) { - double real1 = discretized_[d]; - double complex1 = discretized_[d + 1]; - double real2 = kernelweights_[d]; - double complex2 = kernelweights_[d + 1]; - discretized_[d] = real1 * real2 - complex1 * complex2; - discretized_[d + 1] = real1 * complex2 + complex1 * real2; - } - - for(index_t d = 0; d < nyquistnum_; d += 2) { - double real1 = d_fnyquist_[d]; - double complex1 = d_fnyquist_[d + 1]; - double real2 = k_fnyquist_[d]; - double complex2 = k_fnyquist_[d + 1]; - d_fnyquist_[d] = real1 * real2 - complex1 * complex2; - d_fnyquist_[d + 1] = real1 * complex2 + complex1 * real2; - } - - // Inverse FFT the elementwise multiplied matrix. - fftrn(discretized_.ptr(), d_fnyquist_.ptr(), - rset_.n_rows(), size_.begin(), -1); - - // Retrieve the densities of each data point. - RetrieveDensities(); - - fx_timer_stop(NULL, "fft_kde"); - printf("FFT KDE completed...\n"); - } - - void NormalizeDensities() { - double norm_const = kernel_.CalcNormConstant(qset_.n_rows()) * - rset_.n_cols(); - for(index_t q = 0; q < qset_.n_cols(); q++) { - densities_[q] /= norm_const; - } - } - - void PrintDebug() { - - FILE *stream = stdout; - const char *fname = NULL; - - if((fname = fx_param_str(NULL, "fft_kde_output", NULL)) != NULL) { - stream = fopen(fname, "w+"); - } - for(index_t q = 0; q < qset_.n_cols(); q++) { - fprintf(stream, "%g\n", densities_[q]); - } - - if(stream != stdout) { - fclose(stream); - } - } - -}; - -#endif diff --git a/fastlib/u/gmravi/regression/fgt_kde.h b/fastlib/u/gmravi/regression/fgt_kde.h deleted file mode 100644 index 8d52f6fe50..0000000000 --- a/fastlib/u/gmravi/regression/fgt_kde.h +++ /dev/null @@ -1,1040 +0,0 @@ -#ifndef FGT_KDE_H -#define FGT_KDE_H - -#include -#include - -#include "u/dongryel/series_expansion/mult_series_expansion_aux.h" - -/** - * Computing kernel estimate using Fast Gauss Transform by Lelie Greengard - * and John Strain - */ -class FGTKde { - - private: - - /** query dataset */ - Matrix qset_; - - /** reference dataset */ - Matrix rset_; - - /** kernel */ - GaussianKernel kernel_; - - /** computed densities */ - Vector densities_; - - /** accuracy parameter */ - double tau_; - - /** precomputed constants */ - MultSeriesExpansionAux msea_; - - /* returns the index in a single-dim array, for the given coords in a - * d-dim array, with n[i] elements in the ith dimension - */ - int multi_dim_index_in_single_array(ArrayList &coords, - ArrayList &n) { - - int sum = 0; - - for(index_t i = 0; i < coords.size(); i++) { - int prod = 1; - for(index_t j = 0; j < i; j++) { - prod *= n[j]; - } - sum += coords[i] * prod; - } - return sum; - } - - /** Returns an ivec containing index translated into coordinates in - * {n[0], ..., n[d-1]} space. - */ - void single_dim_index_in_multi_array(ArrayList &n, int index, - ArrayList &coords) { - - for(index_t i = 0; i < coords.size(); i++) { - int this_coord = index % n[i]; - index /= n[i]; - coords[i] = this_coord; - } - } - - int is_ongrid(ArrayList &old_coords, int delta, - ArrayList &new_coords, ArrayList &nsides) { - - int dim = old_coords.size(); - for(index_t d = 0; d < dim; d++) { - int new_val = old_coords[d] + delta; - - if(new_val < 0 || new_val >= nsides[d]) { - return 0; - } - - new_coords[d] = new_val; - } - return 1; - } - - void mknbor(int ibox, ArrayList &nsides, int kdis, - ArrayList &ret) { - - // Compute actual vector position of a given box. - ArrayList coords; - coords.Init(nsides.size()); - single_dim_index_in_multi_array(nsides, ibox, coords); - - ArrayList dummy_n; - dummy_n.Init(coords.size()); - ArrayList all_ones; - all_ones.Init(coords.size()); - for(index_t i = 0; i < coords.size(); i++) { - dummy_n[i] = 2 * kdis + 1; - all_ones[i] = kdis; - } - - int num_neighbors = (2 * kdis + 1); - int i; - - // number of neighbors in $D$ dimension is num_neighbors^D - num_neighbors = (int) pow(num_neighbors, coords.size()); - - // We need to generate every combination of [-1, 0, 1] (except [0, 0, 0]). - // This is slightly hacky but also pretty crafty. We can easily enumerate - // these combinations by viewing the space as a grid in d dimensions with - // 3 cells in each. Therefore, we get coordinates in [0, 1, 2]. We achieve - // our goal by simply subtracting 1. We filter out values that aren't on - // the grid. - ArrayList delta, new_coords; - delta.Init(coords.size()); - new_coords.Init(coords.size()); - - for(i = 0; i < num_neighbors; i++) { - single_dim_index_in_multi_array(dummy_n, i, delta); - - for(index_t j = 0; j < coords.size(); j++) { - new_coords[j] = coords[j] + delta[j]; - } - int ongrid = is_ongrid(new_coords, -kdis, new_coords, nsides); - - if(ongrid) { - *(ret.AddBack()) = - multi_dim_index_in_single_array(new_coords, nsides); - } - - } - } - - void assign(int nallbx, ArrayList &nsides, Vector &sidelengths, - Vector &mincoords, Matrix ¢er, - ArrayList > &queries_assigned, - ArrayList > &references_assigned) { - - int r; - int num_query_rows = qset_.n_cols(); - int num_ref_rows = rset_.n_cols(); - int dim = qset_.n_rows(); - int di; - - // Assign the reference points. - for(r = 0; r < num_ref_rows; r++) { - - int boxnum = 0; - - for(di = dim - 1; di >= 0; di--) { - int nside = nsides[di]; - double h = sidelengths[di]; - int binnum = (int) floor((rset_.get(di, r) - mincoords[di]) / h); - - binnum = max(0, min(binnum, nside - 1)); - boxnum = boxnum * nside + binnum; - } - *(references_assigned[boxnum].AddBack()) = r; - } - - // Assign the query points - for(r = 0; r < num_query_rows; r++) { - - int boxnum = 0; - - for(di = dim - 1; di >= 0; di--) { - int nside = nsides[di]; - double h = sidelengths[di]; - int binnum = (int) floor((qset_.get(di, r) - mincoords[di]) / h); - - binnum = max(0, min(binnum, nside - 1)); - boxnum = boxnum * nside + binnum; - } - *(queries_assigned[boxnum].AddBack()) = r; - } - - // Create centers for all boxes. - for(r = 0; r < nallbx; r++) { - int sf = nallbx; - int ind = r, rem; - Vector box_center; - center.MakeColumnVector(r, &box_center); - - for(di = dim - 1; di >= 0; di--) { - int nside = nsides[di]; - double h = sidelengths[di]; - sf /= nside; - rem = ind % sf; - ind = ind / sf; - - box_center[di] = mincoords[di] + (ind + 0.5) * h; - - ind = rem; - } - } - } - - void TranslateMultipoleToLocal(int ref_box_num, int query_box_num, - Matrix &mcoeffsb, Matrix &lcoeffsb, - int p_alpha, int totalnumcoeffs, - double bwsqd_2, const double *hrcentroid, - const double *dest_hrcentroid) { - - double bandwidth = sqrt(bwsqd_2); - int j, k, l, d, step; - - int dim = qset_.n_rows(); - - Vector lcoeffs; - lcoeffsb.MakeColumnVector(query_box_num, &lcoeffs); - Vector mcoeffs; - mcoeffsb.MakeColumnVector(ref_box_num, &mcoeffs); - - { - Vector dest_minus_parent; - dest_minus_parent.Init(dim); - - la::SubOverwrite(dim, dest_hrcentroid, hrcentroid, - dest_minus_parent.ptr()); - - int limit = 2 * p_alpha - 2; - Matrix hermite_map; - hermite_map.Init(dim, limit + 1); - Matrix arrtmp; - arrtmp.Init(dim, totalnumcoeffs); - - Vector C_k_neg; - C_k_neg.Alias(msea_.get_neg_inv_multiindex_factorials()); - - for(j = 0; j < dim; j++) { - double coord_div_band = dest_minus_parent[j] / bandwidth; - double d2 = 2 * coord_div_band; - double facj = exp(-coord_div_band * coord_div_band); - - hermite_map.set(j, 0, facj); - - if(p_alpha > 1) { - hermite_map.set(j, 1, d2 * facj); - - for(k = 1; k < limit; k++) { - int k2 = k * 2; - hermite_map.set(j, k + 1, - d2 * hermite_map.get(j, k) - k2 * - hermite_map.get(j, k - 1)); - } - } - - for(l = 0; l < totalnumcoeffs; l++) { - arrtmp.set(j, l, 0.0); - } - } - - step = totalnumcoeffs / p_alpha; - d = 0; - - for(j = 0; j < totalnumcoeffs; j++) { - const ArrayList &mapping = msea_.get_multiindex(j); - - for(k = 0, l = j % step; k < p_alpha; k++, l += step) { - arrtmp.set(d, j, arrtmp.get(d, j) + mcoeffs[l] * - hermite_map.get(d, mapping[d] + k)); - } - } - - - if(p_alpha > 1) { - int boundary, boundary2; - - for(boundary = totalnumcoeffs / p_alpha, step = step / p_alpha, d = 1; - step >= 1; step /= p_alpha, d++, boundary /= p_alpha) { - - boundary2 = 0; - - for(j = 0; j < totalnumcoeffs; j++) { - const ArrayList &mapping = msea_.get_multiindex(j); - - if(j % boundary == 0) { - boundary2 += boundary; - } - - for(k = 0; k < p_alpha; k++) { - - int jump = (j + step * k) % boundary2; - - if(jump < boundary2 - boundary) { - jump += boundary2 - boundary; - } - - const ArrayList &mapping2 = msea_.get_multiindex(jump); - - arrtmp.set(d, j, - arrtmp.get(d, j) + - arrtmp.get(d - 1, jump) * - hermite_map.get(d, mapping2[d] + mapping[d])); - } - } - } - } - - d = dim - 1; - - for(j = 0; j < totalnumcoeffs; j++) { - lcoeffs[j] = lcoeffs[j] + C_k_neg[j] * arrtmp.get(d, j); - } - } - } - - void ComputeMultipoleCoeffs(Matrix &mcoeffs, int dim, - int p_alpha, int totalnumcoeffs, - int ref_box_num, double bwsqd_two, - ArrayList &rows, const double *x_R) { - - Vector A_k; - mcoeffs.MakeColumnVector(ref_box_num, &A_k); - double bw_times_sqrt_two = sqrt(bwsqd_two); - - // If the thing has been computed already, return. Otherwise, compute it - // and store it as a cached sufficient statistics. - if(A_k[0] != 0) { - return; - } - - Vector C_k; - C_k.Alias(msea_.get_inv_multiindex_factorials()); - - Vector tmp; - tmp.Init(totalnumcoeffs); - Vector x_r; - x_r.Init(dim); - int num_rows = rows.size(); - int step, boundary; - int r, i, j; - - A_k[0] = num_rows; - for(i = 1; i < totalnumcoeffs; i++) { - A_k[i] = 0.0; - } - - if(p_alpha > 1) { - - for(r = 0; r < num_rows; r++) { - - int row_num = rows[r]; - - for(i = 0; i < dim; i++) { - x_r[i] = (rset_.get(i, row_num) - x_R[i]) / bw_times_sqrt_two; - } - - tmp[0] = 1.0; - - for(boundary = totalnumcoeffs, step = totalnumcoeffs / p_alpha, - j = 0; - step >= 1; step /= p_alpha, boundary /= p_alpha, j++) { - for(i = 0; i < totalnumcoeffs; ) { - int limit = i + boundary; - - i += step; - - for( ; i < limit; i += step) { - tmp[i] = tmp[i - step] * x_r[j]; - } - } - } - - - for(i = 1; i < totalnumcoeffs; i++) { - A_k[i] = A_k[i] + tmp[i]; - } - } - } - - for(r = 1; r < totalnumcoeffs; r++) { - A_k[r] = A_k[r] * C_k[r]; - } - - return; - } - - - void DirectLocalAccumulation(ArrayList &rows, int query_box_num, - Matrix &locexps, double delta, - const double *dest_hrcentroid, int p_alpha, - int totalnumcoeffs) { - - int num_rows = rows.size(); - int r, d, boundary, step, i, j, k; - - // Retrieve the centroid - int dim = rset_.n_rows(); - int limit2 = p_alpha - 1; - Matrix hermite_map; - hermite_map.Init(dim, p_alpha); - Vector arrtmp; - arrtmp.Init(totalnumcoeffs); - Vector x_r_minus_x_Q; - x_r_minus_x_Q.Init(dim); - double bandwidth = sqrt(delta); - Vector neg_inv_multiindex_factorials; - neg_inv_multiindex_factorials.Alias - (msea_.get_neg_inv_multiindex_factorials()); - - Vector arr; - locexps.MakeColumnVector(query_box_num, &arr); - - /** - * For each data point, - */ - for(r = 0; r < num_rows; r++) { - - int row_num = rows[r]; - - /** - * Calculate (x_r - x_Q) - */ - for(d = 0; d < dim; d++) { - x_r_minus_x_Q[d] = dest_hrcentroid[d] - rset_.get(d, row_num); - } - - /** - * Compute the necessary Hermite precomputed map based on the coordinate - * difference. - */ - for(d = 0; d < dim; d++) { - - double coord_div_band = x_r_minus_x_Q[d] / bandwidth; - double d2 = 2 * coord_div_band; - double facj = exp(-coord_div_band * coord_div_band); - - hermite_map.set(d, 0, facj); - - if(p_alpha > 1) { - hermite_map.set(d, 1, d2 * facj); - - for(k = 1; k < limit2; k++) { - int k2 = k * 2; - hermite_map.set(d, k + 1, - d2 * hermite_map.get(d, k) - k2 * - hermite_map.get(d, k - 1)); - } - } - } - - /** - * Seed to start out the coefficients. - */ - arrtmp[0] = 1.0; - - if(p_alpha > 1) { - - /** - * Compute the Taylor coefficients directly... - */ - for(boundary = totalnumcoeffs, step = totalnumcoeffs / p_alpha, - d = 0; - step >= 1; step /= p_alpha, boundary /= p_alpha, d++) { - for(i = 0; i < totalnumcoeffs; ) { - int limit = i + boundary; - - /** - * Skip the first one. - */ - int first = i; - i += step; - - for(j = 1; i < limit; i += step, j++) { - arrtmp[i] = arrtmp[first] * hermite_map.get(d, j); - } - - arrtmp[first] *= hermite_map.get(d, 0); - } - } - } - else { - for(d = 0; d < dim; d++) { - arrtmp[0] *= hermite_map.get(d, 0); - } - } - - for(j = 0; j < totalnumcoeffs; j++) { - arr[j] = arr[j] + neg_inv_multiindex_factorials[j] * arrtmp[j]; - } - } - } - - void EvaluateMultipoleExpansion(ArrayList &rows, int p_alpha, - int totalnumcoeffs, Matrix &mcoeffsb, - int ref_box_num, double bwsqd_times_2, - const double *ref_hrcentroid) { - - double bandwidth = sqrt(bwsqd_times_2); - int num_query_rows = rows.size(); - int r, d, boundary, step, i, j, k; - - // Retrieve the reference centroid. - int dim = qset_.n_rows(); - Vector x_q_minus_x_R; - x_q_minus_x_R.Init(dim); - Matrix hermite_map; - hermite_map.Init(dim, p_alpha); - Vector arrtmp; - arrtmp.Init(totalnumcoeffs); - int limit2 = p_alpha - 1; - Vector mcoeffs; - mcoeffsb.MakeColumnVector(ref_box_num, &mcoeffs); - - // For each data point, - for(r = 0; r < num_query_rows; r++) { - - double multipolesum = 0.0; - int row_num = rows[r]; - - // Calculate (x_q - x_R) - for(d = 0; d < dim; d++) { - x_q_minus_x_R[d] = qset_.get(d, row_num) - ref_hrcentroid[d]; - } - - // Compute the necessary Hermite precomputed map based on the coordinate - // difference. - for(d = 0; d < dim; d++) { - double coord_div_band = x_q_minus_x_R[d] / bandwidth; - double d2 = 2 * coord_div_band; - double facj = exp(-coord_div_band * coord_div_band); - - hermite_map.set(d, 0, facj); - - if(p_alpha > 1) { - hermite_map.set(d, 1, d2 * facj); - - for(k = 1; k < limit2; k++) { - int k2 = k * 2; - hermite_map.set(d, k + 1, - d2 * hermite_map.get(d, k) - k2 * - hermite_map.get(d, k - 1)); - } - } - } - - // Seed to start out the coefficients. - arrtmp[0] = 1.0; - - if(p_alpha > 1) { - - for(boundary = totalnumcoeffs, step = totalnumcoeffs / p_alpha, - d = 0; - step >= 1; step /= p_alpha, boundary /= p_alpha, d++) { - for(i = 0; i < totalnumcoeffs; ) { - int limit = i + boundary; - - // Skip the first one. - int first = i; - i += step; - - for(j = 1; i < limit; i += step, j++) { - arrtmp[i] = arrtmp[first] * hermite_map.get(d, j); - } - - arrtmp[first] *= hermite_map.get(d, 0); - } - } - } - else { - for(d = 0; d < dim; d++) { - arrtmp[0] *= hermite_map.get(d, 0); - } - } - - for(j = 0; j < totalnumcoeffs; j++) { - multipolesum += mcoeffs[j] * arrtmp[j]; - } - - densities_[row_num] += multipolesum; - } - } - - double compute_v_alpha(int row_q, Vector &x_Q, double h, - int query_box_num, Matrix &lcoeffsb, - int totalnumcoeffs, int p_alpha) { - - int dim = qset_.n_rows(); - Vector x_Q_to_x_q; - x_Q_to_x_q.Init(dim); - int i, j, boundary, step; - double multipolesum = 0; - - /** - * First calculate (x_q - x_Q) / (sqrt(2) * h) - */ - for(i = 0; i < dim; i++) { - double x_Q_val = x_Q[i]; - double x_q_val = qset_.get(i, row_q); - x_Q_to_x_q[i] = (x_q_val - x_Q_val) / h; - } - - { - Vector lcoeffs; - lcoeffsb.MakeColumnVector(query_box_num, &lcoeffs); - - Vector tmp; - tmp.Init(totalnumcoeffs); - tmp[0] = 1.0; - - if(totalnumcoeffs > 1) { - - for(boundary = totalnumcoeffs, step = totalnumcoeffs / p_alpha, - j = 0; - step >= 1; step /= p_alpha, boundary /= p_alpha, j++) { - for(i = 0; i < totalnumcoeffs; ) { - int limit = i + boundary; - - i += step; - - for( ; i < limit; i += step) { - tmp[i] = tmp[i - step] * x_Q_to_x_q[j]; - } - } - } - } - - for(i = 0; i < totalnumcoeffs; i++) { - multipolesum += lcoeffs[i] * tmp[i]; - } - } - return multipolesum; - } - - void gaeval(double delta, int nterms, int nallbx, - ArrayList &nsides, Matrix &locexp, int nlmax, - ArrayList > &queries_assigned, - Matrix ¢er, int totalnumcoeffs) { - - int i, j; - - // GO through all query boxes. - for(i = 0; i < nallbx; i++) { - ArrayList &query_rows = queries_assigned[i]; - int ninbox = query_rows.size(); - - if(ninbox <= nlmax) { - continue; - } - else { - - for(j = 0; j < ninbox; j++) { - int row_q = query_rows[j]; - Vector x_Q; - center.MakeColumnVector(i, &x_Q); - - double result = compute_v_alpha(row_q, x_Q, sqrt(delta), - i, locexp, totalnumcoeffs, nterms); - - densities_[row_q] += result; - } - } - } - } - - void gafexp(double delta, int nterms, - int nallbx, ArrayList &nsides, Vector &sidelengths, - Vector &mincoords, Matrix &locexp, int nfmax, int nlmax, - int kdis, Matrix ¢er, - ArrayList > &queries_assigned, - ArrayList > &references_assigned, - Matrix &mcoeffs) { - - int dim = qset_.n_rows(); - - int totalnumcoeffs = (int) pow(nterms, dim); - - // Step 1: Assign query points and reference points to boxes. - assign(nallbx, nsides, sidelengths, mincoords, center, - queries_assigned, references_assigned); - - // Initialize local expansions to zero. - int i, j, k, l; - - // Process all reference boxes - for(i = 0; i < nallbx; i++) { - - ArrayList &reference_rows = references_assigned[i]; - int ninbox = reference_rows.size(); - - // If the box contains no reference points, skip it. - if(ninbox <= 0) { - continue; - } - - // In this case, no far-field expansion is created - else if(ninbox <= nfmax) { - - // Get the query boxes that are in the interaction range. - ArrayList nbors; - nbors.Init(); - mknbor(i, nsides, kdis, nbors); - int nnbors = nbors.size(); - - for(j = 0; j < nnbors; j++) { - - // Number of query points in this neighboring box. - int query_box_num = nbors[j]; - ArrayList &query_rows = queries_assigned[query_box_num]; - int ninnbr = query_rows.size(); - - if(ninnbr <= nlmax) { - - // Direct Interaction - for(k = 0; k < ninnbr; k++) { - - int query_row = query_rows[k]; - const double *query = qset_.GetColumnPtr(query_row); - - for(l = 0; l < ninbox; l++) { - int reference_row = reference_rows[l]; - const double *reference = rset_.GetColumnPtr(reference_row); - - double dsqd = - la::DistanceSqEuclidean(qset_.n_rows(), query, reference); - - double pot = exp(-dsqd / delta); - - // Here, I hard-coded to do only one bandwidth. - densities_[query_row] += pot; - } - } - - } - - // In this case, take each reference point and convert into the - // Taylor series. - else { - - DirectLocalAccumulation(reference_rows, query_box_num, - locexp, delta, - center.GetColumnPtr(query_box_num), - nterms, totalnumcoeffs); - } - - } - } - - // In this case, create a far field expansion. - else { - - ComputeMultipoleCoeffs(mcoeffs ,dim, nterms, - totalnumcoeffs, i, delta, reference_rows, - center.GetColumnPtr(i)); - - // Get the query boxes that are in the interaction range. - ArrayList nbors; - nbors.Init(); - mknbor(i, nsides, kdis, nbors); - int nnbors = nbors.size(); - - for(j = 0; j < nnbors; j++) { - int query_box_num = nbors[j]; - ArrayList &query_rows = queries_assigned[query_box_num]; - int ninnbr = query_rows.size(); - - // If this is true, evaluate far field expansion at each query point. - if(ninnbr <= nlmax) { - - EvaluateMultipoleExpansion(query_rows, nterms, - totalnumcoeffs, mcoeffs, - i, delta, center.GetColumnPtr(i)); - } - - // In this case do multipole to local translation. - else { - - TranslateMultipoleToLocal(i, query_box_num, - mcoeffs, locexp, - nterms, totalnumcoeffs, delta, - center.GetColumnPtr(i), - center.GetColumnPtr(query_box_num)); - - } - } - } - } - gaeval(delta, nterms, nallbx, nsides, locexp, nlmax, - queries_assigned, center, totalnumcoeffs); - } - - void gauss_t(double delta, int nterms, int nallbx, ArrayList &nsides, - Vector &sidelengths, Vector &mincoords, - Matrix &locexp, Matrix ¢er, - ArrayList > &queries_assigned, - ArrayList > &references_assigned, - Matrix &mcoeffs) { - - int dim = qset_.n_rows(); - int kdis = (int) (sqrt(log(tau_) * -2.0) + 1); - - // This is a slight modification of Strain's cutoff since he never - // implemented this above 2 dimensions. - int nfmax = (int) pow(nterms, dim - 1) + 2; - int nlmax = nfmax; - - // Call gafexp to create all expansions on grid, evaluate all appropriate - // far-field expansions and evaluate all appropriate direct interactions. - gafexp(delta, nterms, nallbx, nsides, sidelengths, mincoords, - locexp, nfmax, nlmax, kdis, center, queries_assigned, - references_assigned, mcoeffs); - } - - public: - - FGTKde() {} - - ~FGTKde() {} - - // getters and setters - - /** get the reference dataset */ - Matrix &get_reference_dataset() { return rset_; } - - /** get the query dataset */ - Matrix &get_query_dataset() { return qset_; } - - /** get the density estimate */ - const Vector &get_density_estimates() { return densities_; } - - void Init(Matrix &qset, Matrix &rset) { - - // initialize the kernel and read in the number of grid points - kernel_.Init(fx_param_double_req(NULL, "bandwidth")); - - // set aliases to the query and reference datasets and initialize - // query density sets - qset_.Alias(qset); - densities_.Init(qset_.n_cols()); - rset_.Alias(rset); - - // set accuracy - tau_ = fx_param_double(NULL, "tau", 0.1); - } - - void Init() { - - const char *rfname = fx_param_str_req(NULL, "data"); - const char *qfname = fx_param_str(NULL, "query", rfname); - - // initialize the kernel and read in the number of grid points - kernel_.Init(fx_param_double_req(NULL, "bandwidth")); - - // read reference dataset - Dataset ref_dataset; - ref_dataset.InitFromFile(rfname); - rset_.Own(&(ref_dataset.matrix())); - - // read query dataset if different - if(!strcmp(qfname, rfname)) { - qset_.Alias(rset_); - } - else { - Dataset query_dataset; - query_dataset.InitFromFile(qfname); - qset_.Own(&(query_dataset.matrix())); - } - - // allocate densities - densities_.Init(qset_.n_cols()); - - // set accuracy - tau_ = fx_param_double(NULL, "tau", 0.1); - } - - void FastGaussTransformPreprocess(double *interaction_radius, - ArrayList &nsides, - Vector &sidelengths, Vector &mincoords, - int *nboxes, int *nterms) { - - // Compute the interaction radius. - double bandwidth = sqrt(kernel_.bandwidth_sq()); - *interaction_radius = sqrt(-2.0 * kernel_.bandwidth_sq() * log(tau_)); - - int di, n, num_rows = rset_.n_cols(); - int dim = rset_.n_rows(); - - /** - * Discretize the grid space into boxes. - */ - Vector maxcoords; - maxcoords.Init(dim); - maxcoords.SetAll(MINDOUBLE); - double boxside = -1.0; - *nboxes = 1; - - for(di = 0; di < dim; di++) { - mincoords[di] = MAXDOUBLE; - } - - for(n = 0; n < num_rows; n++) { - for(di = 0; di < dim; di++) { - if(mincoords[di] > rset_.get(di, n)) { - mincoords[di] = rset_.get(di, n); - } - if(maxcoords[di] < rset_.get(di, n)) { - maxcoords[di] = rset_.get(di, n); - } - } - } - - /** - * Figure out how many boxes lie along each direction. - */ - for(di = 0; di < dim; di++) { - nsides[di] = (int) - ((maxcoords[di] - mincoords[di]) / bandwidth + 1); - (*nboxes) = (*nboxes) * nsides[di]; - double tmp = (maxcoords[di] - mincoords[di]) / - (nsides[di] * 2 * bandwidth); - - if(tmp > boxside) { - boxside = tmp; - } - - sidelengths[di] = (maxcoords[di] - mincoords[di]) / - ((double) nsides[di]); - - } - - int ip = 0; - double two_r = 2.0 * boxside; - double one_minus_two_r = 1.0 - two_r; - double ret = 1.0 / pow(one_minus_two_r * one_minus_two_r, dim); - double factorialvalue = 1.0; - double r_raised_to_p_alpha = 1.0; - double first_factor, second_factor; - double ret2; - - do { - ip++; - factorialvalue *= ip; - - r_raised_to_p_alpha *= two_r; - first_factor = 1.0 - r_raised_to_p_alpha; - first_factor *= first_factor; - second_factor = r_raised_to_p_alpha * (2.0 - r_raised_to_p_alpha) - / sqrt(factorialvalue); - - ret2 = ret * (pow((first_factor + second_factor), dim) - - pow(first_factor, dim)); - - } while(ret2 > tau_); - - *nterms = ip; - } - - void Compute() { - - double interaction_radius; - ArrayList nsides; - Vector sidelengths; - Vector mincoords; - int nboxes, nterms; - int dim = rset_.n_rows(); - - nsides.Init(rset_.n_rows()); - sidelengths.Init(rset_.n_rows()); - mincoords.Init(rset_.n_rows()); - - printf("Computing FGT KDE...\n"); - - - // initialize densities to zero - densities_.SetZero(); - - fx_timer_start(NULL, "fgt_kde_init"); - FastGaussTransformPreprocess(&interaction_radius, nsides, sidelengths, - mincoords, &nboxes, &nterms); - fx_timer_stop(NULL, "fgt_kde_init"); - - // precompute factorials - msea_.Init(nterms - 1, qset_.n_rows()); - - // stores the coordinate of each grid box - Matrix center; - center.Init(dim, nboxes); - - // stores the local expansion of each grid box - Matrix locexp; - locexp.Init((int) pow(nterms, dim), nboxes); - - // stores the ids of query points assigned to each grid box - ArrayList > queries_assigned; - queries_assigned.Init(nboxes); - - for(index_t i = 0; i < nboxes; i++) { - queries_assigned[i].Init(); - } - - // stores the ids of reference points assigned to each grid box - ArrayList > references_assigned; - references_assigned.Init(nboxes); - - for(index_t i = 0; i < nboxes; i++) { - references_assigned[i].Init(); - } - - // stores the multipole moments of the reference points in each grid box - Matrix mcoeffs; - mcoeffs.Init((int)pow(nterms, dim), nboxes); - - double delta = 2 * kernel_.bandwidth_sq(); - - fx_timer_start(NULL, "fgt_kde"); - gauss_t(delta, nterms, nboxes, nsides, sidelengths, mincoords, - locexp, center, queries_assigned, references_assigned, mcoeffs); - - // normalize the sum - NormalizeDensities(); - fx_timer_stop(NULL, "fgt_kde"); - printf("FGT KDE completed...\n"); - } - - void NormalizeDensities() { - double norm_const = kernel_.CalcNormConstant(qset_.n_rows()) * - rset_.n_cols(); - for(index_t q = 0; q < qset_.n_cols(); q++) { - densities_[q] /= norm_const; - } - } - - void PrintDebug() { - - FILE *stream = stdout; - const char *fname = NULL; - - if((fname = fx_param_str(NULL, "fgt_kde_output", NULL)) != NULL) { - stream = fopen(fname, "w+"); - } - for(index_t q = 0; q < qset_.n_cols(); q++) { - fprintf(stream, "%g\n", densities_[q]); - } - - if(stream != stdout) { - fclose(stream); - } - } - -}; - -#endif diff --git a/fastlib/u/gmravi/regression/ifgt_kde.cc b/fastlib/u/gmravi/regression/ifgt_kde.cc deleted file mode 100644 index 94c71736de..0000000000 --- a/fastlib/u/gmravi/regression/ifgt_kde.cc +++ /dev/null @@ -1,346 +0,0 @@ -//------------------------------------------------------------------- -// The code was written by Vikas Raykar and Changjiang Yang -// and is copyrighted under the Lesser GPL: -// -// Copyright (C) 2006 Vikas Raykar and Changjiang Yang -// -// This program is free software; you can redistribute it and/or modify -// it under the terms of the GNU Lesser General Public License as -// published by the Free Software Foundation; version 2.1 or later. -// This program is distributed in the hope that it will be useful, -// but WITHOUT ANY WARRANTY; without even the implied warranty of -// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. -// See the GNU Lesser General Public License for more details. -// You should have received a copy of the GNU Lesser General Public -// License along with this program; if not, write to the Free Software -// Foundation, Inc., 59 Temple Place - Suite 330, Boston, -// MA 02111-1307, USA. -// -// The author may be contacted via email at: -// vikas(at)umiacs(.)umd(.)edu, cyang(at)sarnoff(.)com -//------------------------------------------------------------------- - - -//------------------------------------------------------------------- -// File : ImprovedFastGaussTransform.cpp -// Purpose : Implementation for the Improved Fast Gauss Transform -// Author : Vikas C. Raykar (vikas@cs.umd.edu) -// Date : July 15 2005 -//------------------------------------------------------------------- - -#include "ifgt_kde.h" -#include "fastlib/fastlib_int.h" -#include -#include - -//------------------------------------------------------------------- -// Constructor -// -// PURPOSE -// ------- -// Initialize the class. -// Read the parameters. -// Allocate memory. -//------------------------------------------------------------------- - -ImprovedFastGaussTransform::ImprovedFastGaussTransform(int Dim, - int NSources, - int MTargets, - double *pSources, - double Bandwidth, - double *pWeights, - double *pTargets, - int MaxTruncNumber, - int NumClusters, - int *pClusterIndex, - double *pClusterCenter, - double *pClusterRadii, - double CutoffRadius, - double epsilon, - double *pGaussTransform, - int *pTruncNumber - ) -{ - - //Read the parameters - - d=Dim; - N=NSources; - M=MTargets; - px=pSources; - h=Bandwidth * sqrt(2); - pq=pWeights; - py=pTargets; - p_max=MaxTruncNumber; - K=NumClusters; - pci=pClusterIndex; - pcc=pClusterCenter; - pcr=pClusterRadii; - r=CutoffRadius; - pG=pGaussTransform; - pT=pTruncNumber; - eps=epsilon; - - //Memory allocation - - p_max_total=nchoosek(p_max-1+d,d); - constant_series=new double[p_max_total]; - source_center_monomials = new double[p_max_total]; - target_center_monomials = new double[p_max_total]; - dx = new double[d]; - dy = new double[d]; - heads = new int[d]; - C=new double[K*p_max_total]; - - h_square=h*h; - - ry=new double[K]; - ry_square=new double[K]; - for(int i=0; i eps) & (p <= p_max)) - { - b=min(((a+sqrt((a_square)+(2*p*h_square)))/2),ry[cluster_index]); - c=a-b; - temp=temp*(((2*a*b)/h_square)/p); - error=temp*(exp(-(c*c)/h_square)); - p++; - } - - return p-1; - -} - - - -//------------------------------------------------------------------- -// This function computes the constants 2^alpha/alpha!. -//------------------------------------------------------------------- -void -ImprovedFastGaussTransform::compute_constant_series(){ - - int *heads = new int[d+1]; - int *cinds = new int[p_max_total]; - - for (int i = 0; i < d; i++) - heads[i] = 0; - heads[d] = MAXINT; - - cinds[0] = 0; - constant_series[0] = 1.0; - for (int k=1, t=1, tail=1; k < p_max; k++, tail=t) - { - for (int i = 0; i < d; i++) - { - int head = heads[i]; - heads[i] = t; - for ( int j = head; j < tail; j++, t++) - { - cinds[t] = (j < heads[i+1])? cinds[j] + 1 : 1; - constant_series[t] = 2.0 * constant_series[j]; - constant_series[t] /= (double) cinds[t]; - } - } - } - - delete []cinds; - delete []heads; - -} - -//------------------------------------------------------------------- -// This function computes the monomials [(x_i-c_k)/h]^{alpha} -// and norm([(x_i-c_k)/h])^2 -//------------------------------------------------------------------- -void -ImprovedFastGaussTransform::compute_source_center_monomials(int p) -{ - - for (int i = 0; i < d; i++){ - dx[i]=dx[i]/h; - heads[i] = 0; - } - - source_center_monomials[0] = 1.0; - for (int k=1, t=1, tail=1; k < p; k++, tail=t){ - for (int i = 0; i < d; i++){ - int head = heads[i]; - heads[i] = t; - for ( int j = head; j < tail; j++, t++) - source_center_monomials[t] = dx[i] * source_center_monomials[j]; - } - } - -} - -//------------------------------------------------------------------- -// This function computes the monomials [(y_j-c_k)/h]^{alpha} -//------------------------------------------------------------------- -void -ImprovedFastGaussTransform::compute_target_center_monomials() -{ - - for (int i = 0; i < d; i++){ - dy[i]=dy[i]/h; - heads[i] = 0; - } - - target_center_monomials[0] = 1.0; - for (int k=1, t=1, tail=1; k < p_max; k++, tail=t){ - for (int i = 0; i < d; i++){ - int head = heads[i]; - heads[i] = t; - for ( int j = head; j < tail; j++, t++) - target_center_monomials[t] = dy[i] * target_center_monomials[j]; - } - } - -} - -//------------------------------------------------------------------- -// This function computes the coeffeicients C_k for all clusters. -//------------------------------------------------------------------- -void -ImprovedFastGaussTransform::compute_C() -{ - - for (int i = 0; i < K*p_max_total; i++){ - C[i]=0.0; - } - - p_max_actual=-1; - - for(int i=0; ip_max_actual){ - p_max_actual=pT[i]; - } - - compute_source_center_monomials(pT[i]); - - double f=pq[i]*exp(-source_center_distance_square/h_square); - - for(int alpha=0; alpha ry_square[k]) break; - } - - if (target_center_distance_square <= ry_square[k]){ - compute_target_center_monomials(); - double g=exp(-target_center_distance_square/h_square); - for(int alpha=0; alpha qset_bound; - DHrectBound<2> rset_bound; - qset_bound.Init(qset_.n_rows()); - rset_bound.Init(qset_.n_rows()); - - // go through each query/reference point to find out the bounds - for(index_t r = 0; r < rset_.n_cols(); r++) { - Vector ref_vector; - rset_.MakeColumnVector(r, &ref_vector); - rset_bound |= ref_vector; - } - for(index_t q = 0; q < qset_.n_cols(); q++) { - Vector query_vector; - qset_.MakeColumnVector(q, &query_vector); - qset_bound |= query_vector; - } - - for(index_t i = 0; i < num_dims; i++) { - DRange qset_range = qset_bound.get(i); - DRange rset_range = rset_bound.get(i); - double min_coord = min(qset_range.lo, rset_range.lo); - double max_coord = max(qset_range.hi, rset_range.hi); - double width = max_coord - min_coord; - - for(index_t j = 0; j < rset_.n_cols(); j++) { - rset_.set(i, j, (rset_.get(i, j) - min_coord) / width); - } - if(fx_param_str(NULL, "query", NULL) != NULL) { - for(index_t j = 0; j < qset_.n_cols(); j++) { - qset_.set(i, j, (qset_.get(i, j) - min_coord) / width); - } - } - } -} - -int main(int argc, char *argv[]) { - - fx_init(argc, argv); - - // read the datasets and do k-center clustering - Dataset ref_dataset; - Matrix qset_; - Matrix rset_; - Vector pWeights; - - // read the datasets - const char *rfname = fx_param_str_req(NULL, "data"); - const char *qfname = fx_param_str(NULL, "query", rfname); - - // read reference dataset - ref_dataset.InitFromFile(rfname); - rset_.Own(&(ref_dataset.matrix())); - - // read the reference weights - char *rwfname = NULL; - if(fx_param_exists(NULL, "dwgts")) { - rwfname = (char *)fx_param_str(NULL, "dwgts", NULL); - } - - if(rwfname != NULL) { - Dataset ref_weights; - ref_weights.InitFromFile(rwfname); - pWeights.Copy(ref_weights.matrix().GetColumnPtr(0), - ref_weights.matrix().n_rows()); - } - else { - pWeights.Init(rset_.n_cols()); - pWeights.SetAll(1); - } - - if(!strcmp(qfname, rfname)) { - qset_.Alias(rset_); - } - else { - Dataset query_dataset; - query_dataset.InitFromFile(qfname); - qset_.Own(&(query_dataset.matrix())); - } - - // scale dataset if the user wants to - if(!strcmp(fx_param_str(NULL, "scaling", NULL), "range")) { - scale_data_by_minmax(qset_, rset_); - } - - Vector pSources; - pSources.Init(rset_.n_rows() * rset_.n_cols()); - concatenate_vectors(rset_, pSources); - Vector pTargets; - pTargets.Init(qset_.n_rows() * qset_.n_cols()); - concatenate_vectors(qset_, pTargets); - - double Bandwidth = fx_param_double_req(NULL, "bandwidth"); - Vector pGaussTransform; - pGaussTransform.Init(qset_.n_cols()); - double epsilon = fx_param_double(NULL, "tau", 0.1); - - - // choose parameters - fx_timer_start(NULL, "ifgt_kde_compute"); - ImprovedFastGaussTransformChooseParameters cp(rset_.n_rows(), Bandwidth, - epsilon, - (int) ceil(0.2 * 100 / - sqrt - (2 * Bandwidth * - Bandwidth))); - - printf("Number of clusters chosen: %d\n", cp.K); - printf("Maximum truncation number: %d\n", cp.p_max); - printf("Maximum cutoff radius: %g\n", cp.r); - - // run k-center clustering - ArrayList pClusterIndex; - pClusterIndex.Init(rset_.n_cols()); - KCenterClustering kc(rset_.n_rows(), rset_.n_cols(), pSources.ptr(), - pClusterIndex.begin(), cp.K); - kc.Cluster(); - - ArrayList pNumPoints; - pNumPoints.Init(cp.K); - Vector pClusterCenter; - pClusterCenter.Init(rset_.n_rows() * cp.K); - Vector pClusterRadii; - pClusterRadii.Init(cp.K); - kc.ComputeClusterCenters(cp.K, pClusterCenter.ptr(), pNumPoints.begin(), - pClusterRadii.ptr()); - - // update truncation number - ImprovedFastGaussTransformChooseTruncationNumber ct(rset_.n_rows(), - Bandwidth, epsilon, - kc.MaxClusterRadius); - - // initialize IFGT instance - ArrayList pTruncNumber; - pTruncNumber.Init(rset_.n_cols()); - for(index_t i = 0; i < rset_.n_cols(); i++) { - pTruncNumber[i] = 0; - } - ImprovedFastGaussTransform* pIFGT = new - ImprovedFastGaussTransform(rset_.n_rows(), rset_.n_cols(), qset_.n_cols(), - pSources.ptr(), Bandwidth, pWeights.ptr(), - pTargets.ptr(), ct.p_max, - cp.K, pClusterIndex.begin(), - pClusterCenter.ptr(), pClusterRadii.ptr(), - cp.r, epsilon, pGaussTransform.ptr(), - pTruncNumber.begin()); - - // run IFGT - pIFGT->Evaluate(); - - GaussianKernel kernel; - kernel.Init(Bandwidth); - double norm_const = kernel.CalcNormConstant(qset_.n_rows()) * - rset_.n_cols(); - - // normalize density estimates - for(index_t q = 0; q < qset_.n_cols(); q++) { - pGaussTransform[q] /= norm_const; - } - fx_timer_stop(NULL, "ifgt_kde_compute"); - - // check answer with naive - NaiveKde naive_kde; - naive_kde.Init(qset_, rset_); - naive_kde.Compute(); - naive_kde.ComputeMaximumRelativeError(pGaussTransform); - - delete pIFGT; - - fx_done(); - return 0; -} diff --git a/fastlib/u/gmravi/regression/kcenter_clustering.cc b/fastlib/u/gmravi/regression/kcenter_clustering.cc deleted file mode 100644 index 042de9f15b..0000000000 --- a/fastlib/u/gmravi/regression/kcenter_clustering.cc +++ /dev/null @@ -1,317 +0,0 @@ -//------------------------------------------------------------------- -// The code was written by Changjiang Yang and Vikas Raykar -// and is copyrighted under the Lesser GPL: -// -// Copyright (C) 2006 Changjiang Yang and Vikas Raykar -// -// This program is free software; you can redistribute it and/or modify -// it under the terms of the GNU Lesser General Public License as -// published by the Free Software Foundation; version 2.1 or later. -// This program is distributed in the hope that it will be useful, -// but WITHOUT ANY WARRANTY; without even the implied warranty of -// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. -// See the GNU Lesser General Public License for more details. -// You should have received a copy of the GNU Lesser General Public -// License along with this program; if not, write to the Free Software -// Foundation, Inc., 59 Temple Place - Suite 330, Boston, -// MA 02111-1307, USA. -// -// The author may be contacted via email at:cyang(at)sarnoff(.)com -// vikas(at)umiacs(.)umd(.)edu -//------------------------------------------------------------------- - -//------------------------------------------------------------------- -// File : KCenterClustering.cpp -// Purpose : Implementation for the k-center clustering algorithm. -// Author : Vikas C. Raykar (vikas@cs.umd.edu) -// Date : April 25 2005, June 10 2005, August 23, 2005 -//------------------------------------------------------------------- - -#include "kcenter_clustering.h" -#include -#include -#include -#include "fastlib/fastlib_int.h" - -//------------------------------------------------------------------- -// Constructor -// -// PURPOSE -// ------- -// Initialize the class. -// Read the parameters. -// -// INPUT -// ---------- -// Dim --> dimension of the points. -// NSources --> number of sources. -// pSources --> pointer to sources, (d*N). -// pClusterIndex --> pointer to a vector of length N where the -// i th element is the cluster number to -// which the i th point belongs. -// -//------------------------------------------------------------------- - -KCenterClustering::KCenterClustering(int Dim, - int NSources, - double *pSources, - int *pClusterIndex, - int NumClusters - ) -{ - - //Read the parameters - - d=Dim; - N=NSources; - px=pSources; - pci=pClusterIndex; - K=NumClusters; - dist_C = new double[N]; //distances to the center. - r=new double[K]; - - -} - -//------------------------------------------------------------------- -// Destructor -//------------------------------------------------------------------- - -KCenterClustering::~KCenterClustering() -{ - delete [] dist_C; - delete [] r; -} - - - -//------------------------------------------------------------------- -// ddist is the square of the distance of two vectors(double) -//------------------------------------------------------------------- - - -double -KCenterClustering::ddist(const int d, const double *x, const double *y) -{ - double t, s = 0.0; - for (int i = d; i != 0; i--) - { - t = *x++ - *y++; - s += t * t; - } - return s; -} - - - -//------------------------------------------------------------------- -// Find the largest element from a vector -//------------------------------------------------------------------- - -int -KCenterClustering::idmax(int n, double *x) -{ - int k = 0; - double t = -1.0; - for (int i = 0; i < n; i++, x++) - if( t < *x ) - { - t = *x; - k = i; - } - return k; - -} - - -//------------------------------------------------------------------- -// k-center Clustering. -//------------------------------------------------------------------- -// -// Gonzalez's farthest-point clustering algorithm. -// -// OUTPUT -// ---------------- -// -// MaxClusterRadius --> maximum radius of the clusters, (rx). -// pci --> vector of length N where the i th element is the -// cluster number to which the i th point belongs. -// pci[i] varies between 0 to K-1. -//------------------------------------------------------------------- - - -void -KCenterClustering::Cluster() -{ - - - int *pCenters = new int[K]; //indices of the centers. - - int *cprev = new int[N]; // index to the previous node - int *cnext = new int[N]; // index to the next node - int *far2c = new int[K]; // farthest node to the center - - // randomly pick one node as the first center. - srand( (unsigned)time( NULL ) ); - int nc = rand() % N; // new center - - // add the ind-th node to the first center. - pCenters[0] = nc; - - // compute the distances from each node to the first center. - // initialize the circular linked list, the center is the - // sentinel node. - const double *x_nc, *x_j; - x_nc = px + nc*d; - x_j = px; - for (int j = 0; j < N; x_j += d, j++) - { - dist_C[j] = (j==nc)? 0.0:ddist(d, x_j, x_nc); - cnext[j] = j+1; - cprev[j] = j-1; - - // my fix (by Dongryeol Lee) - pci[j] = 0; - } - cnext[N-1] = 0; // link the tail to the head. - cprev[0] = N-1; // link the head to the tail. - - // compute the radius of the first cluster and the farthest - // node to the center. - nc = idmax(N,dist_C); - far2c[0] = nc; - r[0] = dist_C[nc]; - - for(int i = 1; i < K; i++) - { - //find the maximum of vector dist_C, i.e., find the node - //that is farthest away from C. It is a new center. - nc = idmax(i,r); - nc = far2c[nc]; - pCenters[i] = nc; //add the ind-th node to the current center. - r[i] = dist_C[nc] = 0.0;pci[nc]=i; - far2c[i] = nc; - cnext[cprev[nc]] = cnext[nc]; // delete nc - cprev[cnext[nc]] = cprev[nc]; - cnext[nc] = cprev[nc] = nc; //self-loop - - //update the distances from each point to the current center. - x_nc = px + nc*d; - for (int j = 0; j < i; j++) - { - int ct_j = pCenters[j]; - x_j = px + ct_j*d; - double dc2cq = ddist(d, x_j, x_nc) / 4; - if (dc2cq < r[j]) // neighbor cluster - { - r[j] = 0.0; - far2c[j] = ct_j; - int k = cnext[ct_j]; - while (k != ct_j) // visit the circular linked list - { - int nextk = cnext[k]; - //compare the distances from new center - //and from current center. - double dist2c_k = dist_C[k]; - if ( dc2cq < dist2c_k ) - { - - x_j = px + k*d; - double dd = ddist(d, x_j, x_nc); - if ( dd < dist2c_k ) - { - dist_C[k] = dd; // update distances to center - pci[k]=i; - if (r[i] < dd) // find max r - { - r[i] = dd; - far2c[i] = k; - - } - cnext[cprev[k]] = nextk; // delete nextk from ct_j - cprev[nextk] = cprev[k]; - cnext[k] = cnext[nc]; // insert nextk to nc - cprev[cnext[nc]] = k; - cnext[nc] = k; - cprev[k] = nc; - - - } - else if ( r[j] < dist2c_k ) - { - r[j] = dist2c_k; - far2c[j] = k; - - } - } - else if ( r[j] < dist2c_k ) - { - r[j] = dist2c_k; - far2c[j] = k; - } // if d < 2 r_k - k = nextk; - } // while k - } // if d < 2 r - } // for j - } // for i - - nc = idmax(K,r); - MaxClusterRadius=sqrt(r[nc]); -} - -//------------------------------------------------------------------------ -// Computes -// [1] the cluster centers by taking the mean of all the points -// belonging to a cluster. -// [2] the number of points in each cluster. -// [3] the radius of each cluster. -//------------------------------------------------------------------------ -// NumClusters --> number of clusters -// pClusterCenters --> pointer to the cluster centers, (d*K), -// pNumPoints --> pointer to the num of points in each cluster, (K). -// pClusterRadii --> pointer to the radius of each cluster, (K). -//------------------------------------------------------------------------ - -void -KCenterClustering::ComputeClusterCenters( - int NumClusters, - double *pClusterCenters, - int *pNumPoints, - double *pClusterRadii - ) -{ - int K=NumClusters; - - for(int k=0; k dimension of the points. -// NSources --> number of sources. -// pSources --> pointer to sources, (d*N). -// NumClusters --> number of clusters. -// -// OUTPUT -// ---------------- -// -// MaxClusterRadius --> maximum radius of the clusters, (rx). -// pClusterIndex --> vector of length N where the i th element is the -// cluster number to which the i th point belongs. -// pClusterIndex[i] varies between 0 to K-1. -// pClusterCenters --> pointer to the cluster centers, (d*K). -// pNumPoints --> pointer to the number of points in each cluster, (K). -// pClusterRadii --> pointer to the radius of each cluster, (K). -//---------------------------------------------------------------------------- - -#ifndef K_CENTER_CLUSTERING_H -#define K_CENTER_CLUSTERING_H - -class KCenterClustering{ - public: - - //Output parameters - - double MaxClusterRadius; //maximum cluster radius - - //Functions - - //constructor - KCenterClustering(int Dim, - int NSources, - double *pSources, - int *pClusterIndex, - int NumClusters - ); - - //destructor - ~KCenterClustering(); - - //k-center clustering - void Cluster(); - - //Compute cluster centers and the number of points in each cluster - //and the radius of each cluster. - - void ComputeClusterCenters(int NumClusters, - double *pClusterCenters, - int *pNumPoints, - double *pClusterRadii); - - private: - //Input Parameters - - int d; //dimension of the points. - int N; //number of sources. - double *px; //pointer to sources, (d*N). - int K; //number of clusters - int *pci; //pointer to a vector of length N where the i th element is the - //cluster number to which the i th point belongs. - double *dist_C; //distances to the center. - double *r; - - //Functions - - double ddist(const int d, const double *x, const double *y); - int idmax(int n, double *x); - - -}; - - -#endif diff --git a/fastlib/u/gmravi/regression/kde.h b/fastlib/u/gmravi/regression/kde.h deleted file mode 100644 index 89b3e8d94e..0000000000 --- a/fastlib/u/gmravi/regression/kde.h +++ /dev/null @@ -1,973 +0,0 @@ -#ifndef KDE_H -#define KDE_H - -#include "fastlib/fastlib_int.h" -#include "u/dongryel/series_expansion/farfield_expansion.h" -#include "u/dongryel/series_expansion/local_expansion.h" -#include "u/dongryel/series_expansion/mult_farfield_expansion.h" -#include "u/dongryel/series_expansion/mult_local_expansion.h" -#include "u/dongryel/series_expansion/kernel_aux.h" - -template -class NaiveKde { - - private: - - /** query dataset */ - Matrix qset_; - - /** reference dataset */ - Matrix rset_; - - /** kernel */ - TKernel kernel_; - - /** computed densities */ - Vector densities_; - - public: - - void Compute() { - - printf("\nStarting naive KDE...\n"); - fx_timer_start(NULL, "naive_kde_compute"); - - // compute unnormalized sum - for(index_t q = 0; q < qset_.n_cols(); q++) { - - const double *q_col = qset_.GetColumnPtr(q); - for(index_t r = 0; r < rset_.n_cols(); r++) { - const double *r_col = rset_.GetColumnPtr(r); - double dsqd = la::DistanceSqEuclidean(qset_.n_rows(), q_col, r_col); - - densities_[q] += kernel_.EvalUnnormOnSq(dsqd); - } - } - - // then normalize it - double norm_const = kernel_.CalcNormConstant(qset_.n_rows()) * - rset_.n_cols(); - for(index_t q = 0; q < qset_.n_cols(); q++) { - densities_[q] /= norm_const; - } - fx_timer_stop(NULL, "naive_kde_compute"); - printf("\nNaive KDE completed...\n"); - } - - void Init() { - densities_.SetZero(); - } - - void Init(Matrix &qset, Matrix &rset) { - - // get datasets - qset_.Alias(qset); - rset_.Alias(rset); - - // get bandwidth - kernel_.Init(fx_param_double_req(NULL, "bandwidth")); - - // allocate density storage - densities_.Init(qset.n_cols()); - densities_.SetZero(); - } - - void PrintDebug() { - - FILE *stream = stdout; - const char *fname = NULL; - - if(fx_param_exists(NULL, "naive_kde_output")) { - fname = fx_param_str(NULL, "naive_kde_output", NULL); - stream = fopen(fname, "w+"); - } - for(index_t q = 0; q < qset_.n_cols(); q++) { - fprintf(stream, "%g\n", densities_[q]); - } - - if(stream != stdout) { - fclose(stream); - } - } - - void ComputeMaximumRelativeError(const Vector &density_estimate) { - - double max_rel_err = 0; - for(index_t q = 0; q < densities_.length(); q++) { - double rel_err = fabs(density_estimate[q] - densities_[q]) / - densities_[q]; - - if(rel_err > max_rel_err) { - max_rel_err = rel_err; - } - } - - fx_format_result(NULL, "maxium_relative_error_for_fast_KDE", "%g", - max_rel_err); - } - -}; - - -template -class FastKde { - - public: - - // forward declaration of KdeStat class - class KdeStat; - - // our tree type using the KdeStat - typedef BinarySpaceTree, Matrix, KdeStat > Tree; - - class KdeStat { - public: - - /** lower bound on the densities for the query points owned by this node - */ - double mass_l_; - - /** - * additional offset for the lower bound on the densities for the query - * points owned by this node (for leaf nodes only). - */ - double more_l_; - - /** - * lower bound offset passed from above - */ - double owed_l_; - - /** stores the portion pruned by finite difference - */ - double mass_e_; - - /** upper bound on the densities for the query points owned by this node - */ - double mass_u_; - - /** - * additional offset for the upper bound on the densities for the query - * points owned by this node (for leaf nodes only) - */ - double more_u_; - - /** - * upper bound offset passed from above - */ - double owed_u_; - - /** extra error that can be used for the query points in this node */ - double mass_t_; - - /** - * Far field expansion created by the reference points in this node. - */ - typename TKernelAux::TFarFieldExpansion farfield_expansion_; - - /** - * Local expansion stored in this node. - */ - typename TKernelAux::TLocalExpansion local_expansion_; - - /** Initialize the statistics */ - void Init() { - mass_l_ = 0; - more_l_ = 0; - owed_l_ = 0; - mass_e_ = 0; - mass_u_ = 0; - more_u_ = 0; - owed_u_ = 0; - mass_t_ = 0; - } - - void Init(double bandwidth, - typename TKernelAux::TSeriesExpansionAux *sea) { - - farfield_expansion_.Init(bandwidth, sea); - local_expansion_.Init(bandwidth, sea); - } - - void Init(const Matrix& dataset, index_t &start, index_t &count) { - Init(); - } - - void Init(const Matrix& dataset, index_t &start, index_t &count, - const KdeStat& left_stat, - const KdeStat& right_stat) { - Init(); - } - - void Init(double bandwidth, const Vector& center, - typename TKernelAux::TSeriesExpansionAux *sea) { - - farfield_expansion_.Init(bandwidth, center, sea); - local_expansion_.Init(bandwidth, center, sea); - Init(); - } - - void MergeChildBounds(KdeStat &left_stat, KdeStat &right_stat) { - - // steal left and right children's tokens - double min_mass_t = min(left_stat.mass_t_, right_stat.mass_t_); - - // improve lower and upper bound - mass_l_ = max(mass_l_, min(left_stat.mass_l_, right_stat.mass_l_)); - mass_u_ = min(mass_u_, max(left_stat.mass_u_, right_stat.mass_u_)); - mass_t_ += min_mass_t; - left_stat.mass_t_ -= min_mass_t; - right_stat.mass_t_ -= min_mass_t; - } - - void PushDownTokens - (KdeStat &left_stat, KdeStat &right_stat, double *de, - typename TKernelAux::TLocalExpansion *local_expansion, double *dt) { - - if(de != NULL) { - double de_ref = *de; - left_stat.mass_e_ += de_ref; - right_stat.mass_e_ += de_ref; - *de = 0; - } - - if(local_expansion != NULL) { - local_expansion->TranslateToLocal(left_stat.local_expansion_); - local_expansion->TranslateToLocal(right_stat.local_expansion_); - } - if(dt != NULL) { - double dt_ref = *dt; - left_stat.mass_t_ += dt_ref; - right_stat.mass_t_ += dt_ref; - *dt = 0; - } - } - - KdeStat() { } - - ~KdeStat() {} - - }; - - private: - - /** series expansion auxililary object */ - typename TKernelAux::TSeriesExpansionAux sea_; - - /** query dataset */ - Matrix qset_; - - /** query tree */ - Tree *qroot_; - - /** reference dataset */ - Matrix rset_; - - /** reference tree */ - Tree *rroot_; - - /** reference weights */ - Vector rset_weights_; - - /** list of kernels to evaluate */ - TKernel kernel_; - - /** lower bound on the densities */ - Vector densities_l_; - - /** densities computed */ - Vector densities_e_; - - /** upper bound on the densities */ - Vector densities_u_; - - /** accuracy parameter */ - double tau_; - - int num_farfield_to_local_prunes_; - - int num_farfield_prunes_; - - int num_local_prunes_; - - int num_finite_difference_prunes_; - - // preprocessing: scaling the dataset; this has to be moved to the dataset - // module - /* scales each attribute to 0-1 using the min/max values */ - void scale_data_by_minmax() { - - int num_dims = rset_.n_rows(); - DHrectBound<2> qset_bound; - DHrectBound<2> rset_bound; - qset_bound.Init(qset_.n_rows()); - rset_bound.Init(qset_.n_rows()); - - // go through each query/reference point to find out the bounds - for(index_t r = 0; r < rset_.n_cols(); r++) { - Vector ref_vector; - rset_.MakeColumnVector(r, &ref_vector); - rset_bound |= ref_vector; - } - for(index_t q = 0; q < qset_.n_cols(); q++) { - Vector query_vector; - qset_.MakeColumnVector(q, &query_vector); - qset_bound |= query_vector; - } - - for(index_t i = 0; i < num_dims; i++) { - DRange qset_range = qset_bound.get(i); - DRange rset_range = rset_bound.get(i); - double min_coord = min(qset_range.lo, rset_range.lo); - double max_coord = max(qset_range.hi, rset_range.hi); - double width = max_coord - min_coord; - - printf("Dimension %d range: [%g, %g]\n", i, min_coord, max_coord); - - for(index_t j = 0; j < rset_.n_cols(); j++) { - rset_.set(i, j, (rset_.get(i, j) - min_coord) / width); - } - - if(strcmp(fx_param_str(NULL, "query", NULL), - fx_param_str_req(NULL, "data"))) { - for(index_t j = 0; j < qset_.n_cols(); j++) { - qset_.set(i, j, (qset_.get(i, j) - min_coord) / width); - } - } - } - } - - // member functions - void UpdateBounds(Tree *qnode, Tree *rnode, - double *dl, double *de, double *du, double *dt, - int *order_farfield_to_local, int *order_farfield, - int *order_local) { - - // query self statistics - KdeStat &qstat = qnode->stat(); - - // reference node statistics - KdeStat &rstat = rnode->stat(); - - // incorporate into the self - double dl_ref = *dl; - double du_ref = *du; - qstat.mass_l_ += dl_ref; - qstat.mass_u_ += du_ref; - - // incorporate finite difference pruning if available - if(de != NULL) { - qstat.mass_e_ += (*de); - } - - // incorporate token change - if(dt != NULL) { - qstat.mass_t_ += (*dt); - } - - // incorporate series approximation into the self - - // far field to local translation - if(order_farfield_to_local != NULL && *order_farfield_to_local >= 0) { - rstat.farfield_expansion_.TranslateToLocal(qstat.local_expansion_, - *order_farfield_to_local); - } - // far field pruning - else if(order_farfield != NULL && *order_farfield >= 0) { - for(index_t q = qnode->begin(); q < qnode->end(); q++) { - densities_e_[q] += - rstat.farfield_expansion_.EvaluateField(&qset_, q, NULL, - *order_farfield); - } - } - // local accumulation pruning - else if(order_local != NULL && *order_local >= 0) { - qstat.local_expansion_.AccumulateCoeffs(rset_, rset_weights_, - rnode->begin(), rnode->end(), - *order_local); - } - - // for a leaf node, incorporate the lower and upper bound changes into - // its additional offset - if(qnode->is_leaf()) - { - qstat.more_l_ += dl_ref; - qstat.more_u_ += du_ref; - } - - // otherwise, incorporate the bound changes into the owed slots of - // the immediate descendants - else { - qnode->left()->stat().owed_l_ += dl_ref; //transmission of the owed valuesto the children - qnode->left()->stat().owed_u_ += du_ref; - qnode->right()->stat().owed_l_ += dl_ref; - qnode->right()->stat().owed_u_ += du_ref; - } - } - - /** exhaustive base KDE case */ - void FKdeBase(Tree *qnode, Tree *rnode) { - - // compute unnormalized sum - for(index_t q = qnode->begin(); q < qnode->end(); q++) { - - // get query point - const double *q_col = qset_.GetColumnPtr(q); - for(index_t r = rnode->begin(); r < rnode->end(); r++) { - - // get reference point - const double *r_col = rset_.GetColumnPtr(r); - - // pairwise distance and kernel value - double dsqd = la::DistanceSqEuclidean(qset_.n_rows(), q_col, r_col); - double ker_value = kernel_.EvalUnnormOnSq(dsqd); - - densities_l_[q] += ker_value; - densities_e_[q] += ker_value; - densities_u_[q] += ker_value; - } - } - - // tally up the unused error components due to exhaustive computation - qnode->stat().mass_t_ += rnode->count(); - - // get a tighter lower and upper bound by looping over each query point - // in the current query leaf node - double min_l = MAXDOUBLE; - double max_u = -MAXDOUBLE; - for(index_t q = qnode->begin(); q < qnode->end(); q++) { - if(densities_l_[q] < min_l) { - min_l = densities_l_[q]; - } - if(densities_u_[q] > max_u) { - max_u = densities_u_[q]; - } - } - - // subtract the contribution accounted by the exhaustive computation - qnode->stat().more_u_ -= rnode->count(); - - // tighten lower and upper bound - qnode->stat().mass_l_ = min_l + qnode->stat().more_l_; - qnode->stat().mass_u_ = max_u + qnode->stat().more_u_; - } - - /** - * checking for prunability of the query and the reference pair using - * four types of pruning methods - */ - int PrunableEnhanced(Tree *qnode, Tree *rnode, DRange &dsqd_range, - DRange &kernel_value_range, double &dl, double &du, - double &dt, int &order_farfield_to_local, - int &order_farfield, int &order_local) { - - int dim = rset_.n_rows(); - - // actual amount of error incurred per each query/ref pair - double actual_err_farfield_to_local = 0; - double actual_err_farfield = 0; - double actual_err_local = 0; - - // estimated computational cost - int cost_farfield_to_local = MAXINT; - int cost_farfield = MAXINT; - int cost_local = MAXINT; - int cost_exhaustive = (qnode->count()) * (rnode->count()) * dim; - int min_cost = 0; - - // query node and reference node statistics - KdeStat &qstat = qnode->stat(); - KdeStat &rstat = rnode->stat(); - - // expansion objects - typename TKernelAux::TFarFieldExpansion &farfield_expansion = - rstat.farfield_expansion_; - typename TKernelAux::TLocalExpansion &local_expansion = - qstat.local_expansion_; - - // number of reference points - int num_references = rnode->count(); - - // try pruning after bound refinement: - // the new lower bound after incorporating new info - dl = kernel_value_range.lo * num_references; - du = -kernel_value_range.hi * num_references; - - // refine the lower bound using the new lower bound info - double new_mass_l = qstat.mass_l_ + dl; - double allowed_err = tau_ * new_mass_l * - ((double)(num_references + qstat.mass_t_)) / - ((double) rroot_->count() * num_references); - - // get the order of approximations - order_farfield_to_local = - farfield_expansion.OrderForConvertingToLocal - (rnode->bound(), qnode->bound(), dsqd_range.lo, dsqd_range.hi, - allowed_err, &actual_err_farfield_to_local); - order_farfield = - farfield_expansion.OrderForEvaluating(rnode->bound(), qnode->bound(), - dsqd_range.lo, dsqd_range.hi, - allowed_err, &actual_err_farfield); - order_local = - local_expansion.OrderForEvaluating(rnode->bound(), qnode->bound(), - dsqd_range.lo, dsqd_range.hi, - allowed_err, &actual_err_local); - - // update computational cost and compute the minimum - if(order_farfield_to_local >= 0) { - cost_farfield_to_local = (int) pow(order_farfield_to_local + 1, - 2 * dim); - } - if(order_farfield >= 0) { - cost_farfield = (int) pow(order_farfield + 1, dim) * (qnode->count()); - } - if(order_local >= 0) { - cost_local = (int) pow(order_local + 1, dim) * (rnode->count()); - } - - min_cost = min(cost_farfield_to_local, - min(cost_farfield, min(cost_local, cost_exhaustive))); - - if(cost_farfield_to_local == min_cost) { - dt = num_references * - (1.0 - (rroot_->count()) * actual_err_farfield_to_local / - (new_mass_l * tau_)); - order_farfield = order_local = -1; - num_farfield_to_local_prunes_++; - return 1; - } - - if(cost_farfield == min_cost) { - dt = num_references * - (1.0 - (rroot_->count()) * actual_err_farfield / (new_mass_l * tau_)); - order_farfield_to_local = order_local = -1; - num_farfield_prunes_++; - return 1; - } - - if(cost_local == min_cost) { - dt = num_references * - (1.0 - (rroot_->count()) * actual_err_local / (new_mass_l * tau_)); - order_farfield_to_local = order_farfield = -1; - num_local_prunes_++; - return 1; - } - - order_farfield_to_local = order_farfield = order_local = -1; - dl = du = dt = 0; - return 0; - } - - /** checking for prunability of the query and the reference pair */ - int Prunable(Tree *qnode, Tree *rnode, DRange &dsqd_range, - DRange &kernel_value_range, double &dl, double &de, - double &du, double &dt) { - - // query node stat - KdeStat &stat = qnode->stat(); - - // number of reference points - int num_references = rnode->count(); - - // try pruning after bound refinement: first compute distance/kernel - // value bounds - dsqd_range.lo = qnode->bound().MinDistanceSq(rnode->bound()); - dsqd_range.hi = qnode->bound().MaxDistanceSq(rnode->bound()); - kernel_value_range = kernel_.RangeUnnormOnSq(dsqd_range); - - // the new lower bound after incorporating new info - dl = kernel_value_range.lo * num_references; - de = 0.5 * num_references * - (kernel_value_range.lo + kernel_value_range.hi); - du = -kernel_value_range.hi * num_references; - - // refine the lower bound using the new lower bound info - double new_mass_l = stat.mass_l_ + dl; - double allowed_err = tau_ * new_mass_l * - ((double)(num_references + stat.mass_t_)) / ((double) rroot_->count()); - - // this is error per each query/reference pair for a fixed query - double m = 0.5 * (kernel_value_range.hi - kernel_value_range.lo); - - // this is total error for each query point - double error = m * num_references; - - // check pruning condition - if(error <= allowed_err) { - dt = num_references * - (1.0 - (rroot_->count()) * m / (new_mass_l * tau_)); - num_finite_difference_prunes_++; - return 1; - } - else { - dl = de = du = dt = 0; - return 0; - } - } - - /** determine which of the node to expand first */ - void BestNodePartners(Tree *nd, Tree *nd1, Tree *nd2, Tree **partner1, - Tree **partner2) { - - double d1 = nd->bound().MinDistanceSq(nd1->bound()); - double d2 = nd->bound().MinDistanceSq(nd2->bound()); - - if(d1 <= d2) { - *partner1 = nd1; - *partner2 = nd2; - } - else { - *partner1 = nd2; - *partner2 = nd1; - } - } - - /** canonical fast KDE case */ - void FKde(Tree *qnode, Tree *rnode) { - - /** temporary variable for storing lower bound change */ - double dl = 0, de = 0, du = 0, dt = 0; - int order_farfield_to_local = -1, order_farfield = -1, order_local = -1; - - // temporary variable for holding distance/kernel value bounds - DRange dsqd_range; - DRange kernel_value_range; - - // query node statistics - KdeStat &stat = qnode->stat(); - - // left child and right child of query node statistics - KdeStat *left_stat = NULL; - KdeStat *right_stat = NULL; - - // process density bound changes sent from the ancestor query nodes, - UpdateBounds(qnode, rnode, &stat.owed_l_, NULL, &stat.owed_u_, NULL, - NULL, NULL, NULL); - - // for non-leaf query node, tighten lower/upper bounds and the - // reclaim tokens unused by the children. - if(!qnode->is_leaf()) { - left_stat = &(qnode->left()->stat()); - right_stat = &(qnode->right()->stat()); - stat.MergeChildBounds(*left_stat, *right_stat); - } - - // try finite difference pruning first - if(Prunable(qnode, rnode, dsqd_range, kernel_value_range, - dl, de, du, dt)) { - UpdateBounds(qnode, rnode, &dl, &de, &du, &dt, NULL, NULL, NULL); - return; - } - - // try series-expansion pruning - else if(PrunableEnhanced(qnode, rnode, dsqd_range, kernel_value_range, - dl, du, dt, order_farfield_to_local, - order_farfield, order_local)) { - - UpdateBounds(qnode, rnode, &dl, NULL, &du, &dt, - &order_farfield_to_local, &order_farfield, - &order_local); - return; - } - - // for leaf query node - if(qnode->is_leaf()) { - - // for leaf pairs, go exhaustive - if(rnode->is_leaf()) { - FKdeBase(qnode, rnode); - return; - } - - // for non-leaf reference, expand reference node - else { - Tree *rnode_first = NULL, *rnode_second = NULL; - BestNodePartners(qnode, rnode->left(), rnode->right(), &rnode_first, - &rnode_second); - FKde(qnode, rnode_first); - FKde(qnode, rnode_second); - return; - } - } - - // for non-leaf query node - else { - - // for a leaf reference node, expand query node - if(rnode->is_leaf()) { - Tree *qnode_first = NULL, *qnode_second = NULL; - - stat.PushDownTokens(*left_stat, *right_stat, NULL, NULL, - &stat.mass_t_); - BestNodePartners(rnode, qnode->left(), qnode->right(), &qnode_first, - &qnode_second); - FKde(qnode_first, rnode); - FKde(qnode_second, rnode); - return; - } - - // for non-leaf reference node, expand both query and reference nodes - else { - Tree *rnode_first = NULL, *rnode_second = NULL; - stat.PushDownTokens(*left_stat, *right_stat, NULL, NULL, - &stat.mass_t_); - - BestNodePartners(qnode->left(), rnode->left(), rnode->right(), - &rnode_first, &rnode_second); - FKde(qnode->left(), rnode_first); - FKde(qnode->left(), rnode_second); - - BestNodePartners(qnode->right(), rnode->left(), rnode->right(), - &rnode_first, &rnode_second); - FKde(qnode->right(), rnode_first); - FKde(qnode->right(), rnode_second); - return; - } - } - } - - /** - * pre-processing step - this wouldn't be necessary if the core - * fastlib supported a Init function for Stat objects that take - * more arguments. - */ - void PreProcess(Tree *node) { - - // initialize the center of expansions and bandwidth for - // series expansion - node->stat().Init(sqrt(kernel_.bandwidth_sq()), &sea_); - node->bound().CalculateMidpoint - (node->stat().farfield_expansion_.get_center()); - node->bound().CalculateMidpoint - (node->stat().local_expansion_.get_center()); - - // initialize lower bound to 0 - node->stat().mass_l_ = 0; - - // set the finite difference approximated amounts to 0 - node->stat().mass_e_ = 0; - - // set the upper bound to the number of reference points - node->stat().mass_u_ = rset_.n_cols(); - - // set the number of tokens to 0 - node->stat().mass_t_ = 0; - - // for non-leaf node, recurse - if(!node->is_leaf()) { - node->stat().owed_l_ = node->stat().owed_u_ = 0; - PreProcess(node->left()); - PreProcess(node->right()); - - // translate multipole moments - node->stat().farfield_expansion_.TranslateFromFarField - (node->left()->stat().farfield_expansion_); - node->stat().farfield_expansion_.TranslateFromFarField - (node->right()->stat().farfield_expansion_); - } - else { - node->stat().more_l_ = node->stat().more_u_ = 0; - - // exhaustively compute multipole moments - node->stat().farfield_expansion_.RefineCoeffs(rset_, rset_weights_, - node->begin(), node->end(), - sea_.get_max_order()); - } - } - - /** post processing step */ - void PostProcess(Tree *qnode) { - - KdeStat &stat = qnode->stat(); - - // for leaf query node - if(qnode->is_leaf()) { - for(index_t q = qnode->begin(); q < qnode->end(); q++) { - densities_e_[q] += - stat.local_expansion_.EvaluateField(&qset_, q, NULL) + - stat.mass_e_; - } - } - else { - - // push down approximations - stat.PushDownTokens(qnode->left()->stat(), qnode->right()->stat(), - &stat.mass_e_, &stat.local_expansion_, NULL); - PostProcess(qnode->left()); - PostProcess(qnode->right()); - } - } - - void NormalizeDensities() { - double norm_const = kernel_.CalcNormConstant(qset_.n_rows()) * - rset_.n_cols(); - for(index_t q = 0; q < qset_.n_cols(); q++) { - densities_l_[q] /= norm_const; - densities_e_[q] /= norm_const; - densities_u_[q] /= norm_const; - } - } - - public: - - // constructor/destructor - FastKde() {} - - ~FastKde() { - - if(qroot_ != rroot_ ) { - delete qroot_; - delete rroot_; - } - else { - delete rroot_; - } - - } - - // getters and setters - - /** get the reference dataset */ - Matrix &get_reference_dataset() { return rset_; } - - /** get the query dataset */ - Matrix &get_query_dataset() { return qset_; } - - /** get the density estimate */ - const Vector &get_density_estimates() { return densities_e_; } - - // interesting functions... - - void Compute(double tau) { - - // set accuracy parameter - tau_ = tau; - - // initialize the lower and upper bound densities - densities_l_.SetZero(); - densities_e_.SetZero(); - densities_u_.SetAll(rset_.n_cols()); - - num_finite_difference_prunes_ = num_farfield_to_local_prunes_ = - num_farfield_prunes_ = num_local_prunes_ = 0; - - printf("\nStarting fast KDE...\n"); - fx_timer_start(NULL, "fast_kde_compute"); - - // preprocessing step for initializing series expansion objects - PreProcess(rroot_); - if(qroot_ != rroot_) { - PreProcess(qroot_); - } - - // call main routine - FKde(qroot_, rroot_); - - // postprocessing step for finalizing the sums - PostProcess(qroot_); - - // normalize densities - NormalizeDensities(); - fx_timer_stop(NULL, "fast_kde_compute"); - printf("\nFast KDE completed...\n"); - printf("Finite difference prunes: %d\n", num_finite_difference_prunes_); - printf("F2L prunes: %d\n", num_farfield_to_local_prunes_); - printf("F prunes: %d\n", num_farfield_prunes_); - printf("L prunes: %d\n", num_local_prunes_); - } - - void Init() { - - Dataset ref_dataset; - - // read in the number of points owned by a leaf - int leaflen = fx_param_int(NULL, "leaflen", 20); - - // read the datasets - const char *rfname = fx_param_str_req(NULL, "data"); - const char *qfname = fx_param_str(NULL, "query", rfname); - - // read reference dataset - ref_dataset.InitFromFile(rfname); - rset_.Own(&(ref_dataset.matrix())); - - // read the reference weights - char *rwfname = NULL; - if(fx_param_exists(NULL, "dwgts")) { - rwfname = (char *)fx_param_str(NULL, "dwgts", NULL); - } - - if(rwfname != NULL) { - Dataset ref_weights; - ref_weights.InitFromFile(rwfname); - rset_weights_.Copy(ref_weights.matrix().GetColumnPtr(0), - ref_weights.matrix().n_rows()); - } - else { - rset_weights_.Init(rset_.n_cols()); - rset_weights_.SetAll(1); - } - - if(!strcmp(qfname, rfname)) { - qset_.Alias(rset_); - } - else { - Dataset query_dataset; - query_dataset.InitFromFile(qfname); - qset_.Own(&(query_dataset.matrix())); - } - - // scale dataset if the user wants to - if(!strcmp(fx_param_str(NULL, "scaling", NULL), "range")) { - scale_data_by_minmax(); - } - - // construct query and reference trees - fx_timer_start(NULL, "tree_d"); - rroot_ = tree::MakeKdTreeMidpoint(rset_, leaflen); - - if(!strcmp(qfname, rfname)) { - qroot_ = rroot_; - } - else { - qroot_ = tree::MakeKdTreeMidpoint(qset_, leaflen); - } - fx_timer_stop(NULL, "tree_d"); - - // initialize the density lists - densities_l_.Init(qset_.n_cols()); - densities_e_.Init(qset_.n_cols()); - densities_u_.Init(qset_.n_cols()); - - // initialize the kernel - kernel_.Init(fx_param_double_req(NULL, "bandwidth")); - - // initialize the series expansion object - if(qset_.n_rows() <= 2) { - sea_.Init(fx_param_int(NULL, "order", 5), qset_.n_rows()); - } - else { - sea_.Init(fx_param_int(NULL, "order", 0), qset_.n_rows()); - } - } - - void PrintDebug() { - - FILE *stream = stdout; - const char *fname = NULL; - - if((fname = fx_param_str(NULL, "fast_kde_output", NULL)) != NULL) { - stream = fopen(fname, "w+"); - } - for(index_t q = 0; q < qset_.n_cols(); q++) { - fprintf(stream, "%g\n", densities_e_[q]); - } - - if(stream != stdout) { - fclose(stream); - } - } - -}; - -#endif diff --git a/fastlib/u/gmravi/regression/kde_test_to_dongryeol.nb b/fastlib/u/gmravi/regression/kde_test_to_dongryeol.nb deleted file mode 100644 index 1ccb529787..0000000000 --- a/fastlib/u/gmravi/regression/kde_test_to_dongryeol.nb +++ /dev/null @@ -1,17881 +0,0 @@ -(************** Content-type: application/mathematica ************** - CreatedBy='Mathematica 5.0' - - Mathematica-Compatible Notebook - -This notebook can be used with any Mathematica-compatible -application, such as Mathematica, MathReader or Publicon. The data -for the notebook starts with the line containing stars above. - -To get the notebook into a Mathematica-compatible application, do -one of the following: - -* Save the data starting with the line of stars above into a file - with a name ending in .nb, then open the file inside the - application; - -* Copy the data starting with the line of stars above to the - clipboard, then use the Paste menu command inside the application. - -Data for notebooks contains only printable 7-bit ASCII and can be -sent directly in email or through ftp in text mode. 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sqterm=sqterm+sum(kg((x-x(i))/(sqrt(2)*h)))/sqrt(2); - % The sqrt(2) factors are for the K(2) term which is - % equivalent to a kernel with variance of 2 that is the convolution of 2 - % gaussian kernels. - xterm=xterm+sum(kg((x-x(i))/h)); -end; -sqterm=sqterm/(n*n*h); -xterm=2*(xterm/(n*n)-kg(0)/n)/h; -moh=sqterm-xterm; diff --git a/fastlib/u/gmravi/regression/main2.cc b/fastlib/u/gmravi/regression/main2.cc index 2734b3fb21..647c23a4e3 100644 --- a/fastlib/u/gmravi/regression/main2.cc +++ b/fastlib/u/gmravi/regression/main2.cc @@ -5,10 +5,29 @@ int main (int argc, char *argv[]){ fx_init (argc, argv); + + char *rfname=(char*)malloc(40); + char *qfname=(char*)malloc(40); + strcpy(rfname,fx_param_str_req (NULL, "data")); + strcpy(qfname,fx_param_str_req (NULL,"query")); + Regression2 reg2; printf("going to initialization function...\n"); - reg2.Init(); + Dataset ref_dataset ; + Dataset q_dataset; + + Matrix query_dataset; + Matrix reference_dataset; + + ref_dataset.InitFromFile(rfname); + reference_dataset.Own(&(ref_dataset.matrix())); + + q_dataset.InitFromFile(qfname); + query_dataset.Own(&(q_dataset.matrix())); + + reg2.Init(query_dataset,reference_dataset); printf("Initializations done..\n"); + // reg2.Compute(fx_param_double (NULL, "tau", 0.1)); reg2.Compute(0.1); ArrayList wfkde_results; diff --git a/fastlib/u/gmravi/regression/naive_kde_output.txt b/fastlib/u/gmravi/regression/naive_kde_output.txt deleted file mode 100644 index b5b56d61dd..0000000000 --- a/fastlib/u/gmravi/regression/naive_kde_output.txt +++ /dev/null @@ -1,25 +0,0 @@ -Point:1.300000 1.000000 2.000000 -2.671527 -3.385464 -4.383671 -5.647777 -Point:1.100000 1.800000 1.900000 -3.408173 -4.289175 -6.271699 -7.380817 -Point:2.100000 2.200000 1.500000 -2.294841 -3.540102 -4.491305 -4.387145 -Point:1.000000 2.000000 3.000000 -2.910201 -3.260119 -5.737805 -7.191543 -Point:1.000000 2.400000 2.600000 -3.094637 -3.571118 -6.217940 -7.430222 diff --git a/fastlib/u/gmravi/regression/query_file.csv b/fastlib/u/gmravi/regression/query_file.csv index 163f76de3b..ea1373d34a 100644 --- a/fastlib/u/gmravi/regression/query_file.csv +++ b/fastlib/u/gmravi/regression/query_file.csv @@ -1,5 +1,4 @@ -1.0, 2.0, 3.0 -2.1, 2.2, 1.5 -1.10, 1.8, 1.9 -1.30, 1.0, 2.0 -1.0, 2.4, 2.6 +1.0, 2.0, 3.2 +1.3, 2.4, 3.6 +1.5, 4.5, 7.6 +2.3, 3.6, 8.9 \ No newline at end of file