# Copyright 2016 The TensorFlow Authors. All Rights Reserved. # # Licensed under the Apache License, Version 2.0 (the "License"); # you may not use this file except in compliance with the License. # You may obtain a copy of the License at # # http://www.apache.org/licenses/LICENSE-2.0 # # Unless required by applicable law or agreed to in writing, software # distributed under the License is distributed on an "AS IS" BASIS, # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. # See the License for the specific language governing permissions and # limitations under the License. # ============================================================================== """Tests for AdagradDA optimizer.""" from __future__ import absolute_import from __future__ import division from __future__ import print_function import numpy as np from tensorflow.compiler.tests import xla_test from tensorflow.python.framework import constant_op from tensorflow.python.framework import dtypes from tensorflow.python.ops import resource_variable_ops from tensorflow.python.ops import variables from tensorflow.python.platform import test from tensorflow.python.training import adagrad_da class AdagradDAOptimizerTest(xla_test.XLATestCase): def testAdagradDAWithoutRegularizationBasic1(self): for dtype in self.float_types: with self.cached_session(), self.test_scope(): global_step = resource_variable_ops.ResourceVariable( 0, dtype=dtypes.int64) var0 = resource_variable_ops.ResourceVariable([0.0, 0.0], dtype=dtype) var1 = resource_variable_ops.ResourceVariable([0.0, 0.0], dtype=dtype) grads0 = constant_op.constant([0.1, 0.2], dtype=dtype) grads1 = constant_op.constant([0.01, 0.02], dtype=dtype) opt = adagrad_da.AdagradDAOptimizer( 3.0, global_step, initial_gradient_squared_accumulator_value=0.1, l1_regularization_strength=0.0, l2_regularization_strength=0.0) update = opt.apply_gradients( zip([grads0, grads1], [var0, var1]), global_step=global_step) variables.global_variables_initializer().run() self.assertAllClose([0.0, 0.0], var0.eval()) self.assertAllClose([0.0, 0.0], var1.eval()) # Run a step of AdagradDA update.run() # Let g to be gradient accumulator, gg to be gradient squared # accumulator, T be the global step, lr is the learning rate, and k the # initial gradient squared accumulator value. # w = \dfrac{sign(-g)*lr*|g - l1*T|_{+}}{l2*T*lr + \sqrt{k+gg})} # For -0.1*3.0*(0.1 - 0)/(0 + sqrt(0.1 + 0.1*0.1)) = -0.904534 # similarly for others. self.assertAllCloseAccordingToType( np.array([-0.904534, -1.603567]), var0.eval()) self.assertAllCloseAccordingToType( np.array([-0.094821, -0.189358]), var1.eval()) def testAdagradDAwithoutRegularizationBasic2(self): for dtype in self.float_types: with self.cached_session(), self.test_scope(): global_step = resource_variable_ops.ResourceVariable( 0, dtype=dtypes.int64) var0 = resource_variable_ops.ResourceVariable([1.0, 2.0], dtype=dtype) var1 = resource_variable_ops.ResourceVariable([4.0, 3.0], dtype=dtype) grads0 = constant_op.constant([0.1, 0.2], dtype=dtype) grads1 = constant_op.constant([0.01, 0.02], dtype=dtype) opt = adagrad_da.AdagradDAOptimizer( 3.0, global_step, initial_gradient_squared_accumulator_value=0.1, l1_regularization_strength=0.0, l2_regularization_strength=0.0) update = opt.apply_gradients( zip([grads0, grads1], [var0, var1]), global_step=global_step) variables.global_variables_initializer().run() self.assertAllCloseAccordingToType([1.0, 2.0], var0.eval()) self.assertAllCloseAccordingToType([4.0, 3.0], var1.eval()) # Run a step of AdagradDA update.run() self.assertAllCloseAccordingToType( np.array([-0.904534, -1.603567]), var0.eval()) self.assertAllCloseAccordingToType( np.array([-0.094821, -0.189358]), var1.eval()) def testAdagradDAWithL1(self): for dtype in self.float_types: with self.cached_session(), self.test_scope(): global_step = resource_variable_ops.ResourceVariable( 0, dtype=dtypes.int64) var0 = resource_variable_ops.ResourceVariable([1.0, 2.0], dtype=dtype) var1 = resource_variable_ops.ResourceVariable([4.0, 3.0], dtype=dtype) grads0 = constant_op.constant([0.1, 0.2], dtype=dtype) grads1 = constant_op.constant([0.01, 0.02], dtype=dtype) opt = adagrad_da.AdagradDAOptimizer( 3.0, global_step, initial_gradient_squared_accumulator_value=0.1, l1_regularization_strength=0.001, l2_regularization_strength=0.0) update = opt.apply_gradients( zip([grads0, grads1], [var0, var1]), global_step=global_step) variables.global_variables_initializer().run() self.assertAllCloseAccordingToType([1.0, 2.0], var0.eval()) self.assertAllCloseAccordingToType([4.0, 3.0], var1.eval()) # Run a step of AdagradDA update.run() self.assertAllCloseAccordingToType( np.array([-0.895489, -1.59555]), var0.eval()) self.assertAllCloseAccordingToType( np.array([-0.085339, -0.17989]), var1.eval()) def testAdagradDAWithL1_L2(self): for dtype in self.float_types: with self.cached_session(), self.test_scope(): global_step = resource_variable_ops.ResourceVariable( 0, dtype=dtypes.int64) var0 = resource_variable_ops.ResourceVariable([1.0, 2.0], dtype=dtype) var1 = resource_variable_ops.ResourceVariable([4.0, 3.0], dtype=dtype) grads0 = constant_op.constant([0.1, 0.2], dtype=dtype) grads1 = constant_op.constant([0.01, 0.02], dtype=dtype) opt = adagrad_da.AdagradDAOptimizer( 3.0, global_step, initial_gradient_squared_accumulator_value=0.1, l1_regularization_strength=0.001, l2_regularization_strength=2.0) update = opt.apply_gradients( zip([grads0, grads1], [var0, var1]), global_step=global_step) variables.global_variables_initializer().run() self.assertAllCloseAccordingToType([1.0, 2.0], var0.eval()) self.assertAllCloseAccordingToType([4.0, 3.0], var1.eval()) # Run a step of AdagradDA update.run() self.assertAllCloseAccordingToType( np.array([-0.046907, -0.093659]), var0.eval()) self.assertAllCloseAccordingToType( np.array([-0.004275, -0.009023]), var1.eval()) if __name__ == "__main__": test.main()