diff --git a/tests/core/math/test_losses.cpp b/tests/core/math/test_losses.cpp
new file mode 100644
index 0000000..922a7dd
--- /dev/null
+++ b/tests/core/math/test_losses.cpp
@@ -0,0 +1,17 @@
+#include "catch2/catch_test_macros.hpp"
+#include <jml/math/loss_functions.hpp>
+#include <jml/math/vector.hpp>
+
+SCENARIO("Loss can be calculated from two vectors") {
+    GIVEN("Two vectors of the same size") {
+        jml::Vector vec1(3), vec2(3);
+        vec1.set_entry(0, 1.0);
+        vec1.set_entry(1, 2.0);
+        vec1.set_entry(2, 3.0);
+        vec2.set_entry(0, 4.0);
+        vec2.set_entry(1, 2.0);
+        vec2.set_entry(2,-2.0);
+        auto loss = jml::l2lf(vec1, vec2);
+        REQUIRE(loss == 5.0);
+    }
+}
diff --git a/tests/meson.build b/tests/meson.build
index 5d2749f..c5d8c0c 100644
--- a/tests/meson.build
+++ b/tests/meson.build
@@ -2,6 +2,7 @@ core_test_sources = [
     'core/math/test_matrix.cpp',
     'core/math/test_vector.cpp',
     'core/math/test_activation_functions.cpp',
+    'core/math/test_losses.cpp',
     'core/test_model.cpp',
 ]