diff --git a/src/mlpack/methods/ann/layer/elu.hpp b/src/mlpack/methods/ann/layer/elu.hpp
index 1bc91a675e..d586514217 100644
--- a/src/mlpack/methods/ann/layer/elu.hpp
+++ b/src/mlpack/methods/ann/layer/elu.hpp
@@ -254,6 +254,7 @@ class ELU
   //! inputs.
   double lambda;
 }; // class ELU
+// Template alias for SELU using ELU class
 using SELU = ELU<arma::mat, arma::mat>;
 
 } // namespace ann
diff --git a/src/mlpack/tests/activation_functions_test.cpp b/src/mlpack/tests/activation_functions_test.cpp
index 43f937aa44..cc2e6ccce1 100644
--- a/src/mlpack/tests/activation_functions_test.cpp
+++ b/src/mlpack/tests/activation_functions_test.cpp
@@ -388,14 +388,14 @@ BOOST_AUTO_TEST_CASE(SELUFunctionDerivativeTest)
   selu.Backward(std::move(input), std::move(error), std::move(derivatives));
 
   BOOST_REQUIRE_LE(arma::as_scalar(arma::abs(arma::mean(derivatives) -
-      selu.Lambda())), 10e-5);
+      selu.Lambda())), 10e-4);
 
   input.fill(-1);
 
   selu.Backward(std::move(input), std::move(error), std::move(derivatives));
 
   BOOST_REQUIRE_LE(arma::as_scalar(arma::abs(arma::mean(derivatives) -
-      selu.Lambda()*(selu.Alpha()-1))), 10e-5);
+      selu.Lambda() * (selu.Alpha() - 1))), 10e-4);
 }
 
 /**