def testTensorLearningRateAndMomentum(self): for dtype in [dtypes.half, dtypes.float32, dtypes.float64]: with self.cached_session(): var0 = variables.Variable([1.0, 2.0], dtype=dtype) var1 = variables.Variable([3.0, 4.0], dtype=dtype) grads0 = constant_op.constant([0.1, 0.1], dtype=dtype) grads1 = constant_op.constant([0.01, 0.01], dtype=dtype) mom_opt = momentum_lib.MomentumOptimizer( learning_rate=constant_op.constant(2.0), momentum=constant_op.constant(0.9)) mom_update = mom_opt.apply_gradients( zip([grads0, grads1], [var0, var1])) variables.global_variables_initializer().run() # Check we have slots self.assertEqual(["momentum"], mom_opt.get_slot_names()) slot0 = mom_opt.get_slot(var0, "momentum") self.assertEquals(slot0.get_shape(), var0.get_shape()) self.assertFalse(slot0 in variables.trainable_variables()) slot1 = mom_opt.get_slot(var1, "momentum") self.assertEquals(slot1.get_shape(), var1.get_shape()) self.assertFalse(slot1 in variables.trainable_variables()) # Fetch params to validate initial values self.assertAllClose([1.0, 2.0], var0.eval()) self.assertAllClose([3.0, 4.0], var1.eval()) # Step 1: the momentum accumulators where 0. So we should see a normal # update: v -= grad * learning_rate mom_update.run() # Check that the momentum accumulators have been updated. self.assertAllCloseAccordingToType(np.array([0.1, 0.1]), slot0.eval()) self.assertAllCloseAccordingToType(np.array([0.01, 0.01]), slot1.eval()) # Check that the parameters have been updated. self.assertAllCloseAccordingToType( np.array([1.0 - (0.1 * 2.0), 2.0 - (0.1 * 2.0)]), var0.eval()) self.assertAllCloseAccordingToType( np.array([3.0 - (0.01 * 2.0), 4.0 - (0.01 * 2.0)]), var1.eval()) # Step 2: the momentum accumulators contain the previous update. mom_update.run() # Check that the momentum accumulators have been updated. self.assertAllCloseAccordingToType( np.array([(0.9 * 0.1 + 0.1), (0.9 * 0.1 + 0.1)]), slot0.eval()) self.assertAllCloseAccordingToType( np.array([(0.9 * 0.01 + 0.01), (0.9 * 0.01 + 0.01)]), slot1.eval()) # Check that the parameters have been updated. self.assertAllCloseAccordingToType( np.array([ 1.0 - (0.1 * 2.0) - ((0.9 * 0.1 + 0.1) * 2.0), 2.0 - (0.1 * 2.0) - ((0.9 * 0.1 + 0.1) * 2.0) ]), var0.eval()) self.assertAllCloseAccordingToType( np.array([ 2.98 - ((0.9 * 0.01 + 0.01) * 2.0), 3.98 - ((0.9 * 0.01 + 0.01) * 2.0) ]), var1.eval())
def testMinimizeSparseResourceVariable(self): for dtype in [dtypes.half, dtypes.float32, dtypes.float64]: # This test invokes the ResourceSparseApplyMomentum operation, which # did not have a registered GPU kernel as of April 2018. With graph # execution, the placement algorithm notices this and automatically # places the variable in CPU (host) memory. With eager execution, # the variable would be placed in GPU memory if available, which # would then conflict with the future invocation of the # ResourceSparseApplyMomentum operation. # To work around this discrepancy, for now we force the variable # to be placed on CPU. with ops.device("/cpu:0"): var0 = resource_variable_ops.ResourceVariable([[1.0, 2.0]], dtype=dtype) # pylint: disable=cell-var-from-loop def loss(): x = constant_op.constant([[4.0], [5.0]], dtype=dtype) pred = math_ops.matmul( embedding_ops.embedding_lookup([var0], [0]), x) return pred * pred # pylint: enable=cell-var-from-loop opt = momentum_lib.MomentumOptimizer(learning_rate=1.0, momentum=0.0) sgd_op = opt.minimize(loss) self.evaluate(variables.global_variables_initializer()) # Run 1 step of sgd self.evaluate(sgd_op) # Validate updated params self.assertAllCloseAccordingToType([[-111, -138]], self.evaluate(var0))
def testNesterovMomentum(self): for dtype in [dtypes.float32, dtypes.float64]: with self.cached_session(): var0 = variables.Variable([1.0, 2.0], dtype=dtype) var1 = variables.Variable([3.0, 4.0], dtype=dtype) var0_np = np.array([1.0, 2.0], dtype=dtype.as_numpy_dtype) var1_np = np.array([3.0, 4.0], dtype=dtype.as_numpy_dtype) accum0_np = np.array([0.0, 0.0], dtype=dtype.as_numpy_dtype) accum1_np = np.array([0.0, 0.0], dtype=dtype.as_numpy_dtype) cost = 5 * var0 * var0 + 3 * var1 global_step = variables.Variable(array_ops.zeros([], dtypes.int64), name="global_step") mom_op = momentum_lib.MomentumOptimizer(learning_rate=2.0, momentum=0.9, use_nesterov=True) opt_op = mom_op.minimize(cost, global_step, [var0, var1]) variables.global_variables_initializer().run() for t in range(1, 5): opt_op.run() var0_np, accum0_np = self._update_nesterov_momentum_numpy( var0_np, accum0_np, var0_np * 10, 2.0, 0.9) var1_np, accum1_np = self._update_nesterov_momentum_numpy( var1_np, accum1_np, 3, 2.0, 0.9) self.assertAllClose(var0_np, var0.eval()) self.assertAllClose(var1_np, var1.eval())
def testVariablesAcrossGraphs(self): optimizer = momentum_lib.MomentumOptimizer(0.01, 0.5) with ops.Graph().as_default(): var0 = resource_variable_ops.ResourceVariable([1.0, 2.0], dtype=dtypes.float32, name="var0") var1 = resource_variable_ops.ResourceVariable([3.0, 4.0], dtype=dtypes.float32, name="var1") loss = math_ops.reduce_sum(var0 + var1) optimizer.minimize(loss) optimizer_variables = optimizer.variables() self.assertStartsWith(optimizer_variables[0].name, "var0") self.assertStartsWith(optimizer_variables[1].name, "var1") self.assertEquals(2, len(optimizer_variables)) with ops.Graph().as_default(): var2 = resource_variable_ops.ResourceVariable([1.0, 2.0], dtype=dtypes.float32, name="var2") var3 = resource_variable_ops.ResourceVariable([3.0, 4.0], dtype=dtypes.float32, name="var3") loss = math_ops.reduce_sum(var2 + var3) optimizer.minimize(loss) optimizer_variables = optimizer.variables() self.assertStartsWith(optimizer_variables[0].name, "var2") self.assertStartsWith(optimizer_variables[1].name, "var3") self.assertEquals(2, len(optimizer_variables))
def testLikeDistBeliefMom01(self): with self.cached_session(): db_grad, db_out = self._dbParamsMom01() num_samples = len(db_grad) var0 = variables.Variable([0.0] * num_samples) grads0 = constant_op.constant([0.0] * num_samples) mom_opt = momentum_lib.MomentumOptimizer(learning_rate=0.1, momentum=0.1) mom_update = mom_opt.apply_gradients(zip([grads0], [var0])) variables.global_variables_initializer().run() for i in xrange(num_samples): mom_update.run(feed_dict={grads0: db_grad[i]}) self.assertAllClose(np.array(db_out[i]), var0.eval())
def testSparseNesterovMomentum(self): for dtype in [dtypes.float32, dtypes.float64]: with self.cached_session(): var0_np = np.array([1.0, 2.0], dtype=dtype.as_numpy_dtype) var1_np = np.array([3.0, 4.0], dtype=dtype.as_numpy_dtype) accum0_np = np.array([0.0, 0.0], dtype=dtype.as_numpy_dtype) accum1_np = np.array([0.0, 0.0], dtype=dtype.as_numpy_dtype) grads = [] for t in range(1, 5): grads.append(var0_np * 10) var0_np, accum0_np = self._update_nesterov_momentum_numpy( var0_np, accum0_np, var0_np * 10, 2.0, 0.9) var1_np, accum1_np = self._update_nesterov_momentum_numpy( var1_np, accum1_np, 3, 2.0, 0.9) var0_np = np.array([1.0, 2.0], dtype=dtype.as_numpy_dtype) var1_np = np.array([3.0, 4.0], dtype=dtype.as_numpy_dtype) accum0_np = np.array([0.0, 0.0], dtype=dtype.as_numpy_dtype) accum1_np = np.array([0.0, 0.0], dtype=dtype.as_numpy_dtype) var0 = variables.Variable(var0_np) var1 = variables.Variable(var1_np) loss = 5 * var0 * var0 + 3 * var1 mom_op = momentum_lib.MomentumOptimizer(learning_rate=2.0, momentum=0.9, use_nesterov=True) x_feed = array_ops.placeholder(dtype) y_feed = ops.IndexedSlices(x_feed, constant_op.constant([0, 1]), constant_op.constant([2])) grads_and_vars = [(y_feed, var0), (constant_op.constant([3.0, 3.0], dtype=dtype), var1)] opt_update = mom_op.apply_gradients(grads_and_vars) variables.global_variables_initializer().run() for t in range(1, 5): opt_update.run(feed_dict={x_feed: grads[t - 1]}) var0_np, accum0_np = self._update_nesterov_momentum_numpy( var0_np, accum0_np, var0_np * 10, 2.0, 0.9) var1_np, accum1_np = self._update_nesterov_momentum_numpy( var1_np, accum1_np, 3, 2.0, 0.9) self.assertAllClose(var0_np, var0.eval()) self.assertAllClose(var1_np, var1.eval())
def testMinimizeWith2DIndiciesForEmbeddingLookup(self): # This test invokes the ResourceSparseApplyMomentum operation, which # did not have a registered GPU kernel as of April 2018. With graph # execution, the placement algorithm notices this and automatically # places the variable in CPU (host) memory. With eager execution, # the variable would be placed in GPU memory if available, which # would then conflict with the future invocation of the # ResourceSparseApplyMomentum operation. # To work around this discrepancy, for now we force the variable # to be placed on CPU. with ops.device("/cpu:0"): var0 = resource_variable_ops.ResourceVariable( array_ops.ones([2, 2])) def loss(): return math_ops.reduce_sum( embedding_ops.embedding_lookup(var0, [[1]])) opt = momentum_lib.MomentumOptimizer(learning_rate=1.0, momentum=0.0) sgd_op = opt.minimize(loss) self.evaluate(variables.global_variables_initializer()) self.evaluate(sgd_op) self.assertAllCloseAccordingToType([[1, 1], [0, 0]], self.evaluate(var0))
def testSparse(self): for dtype in [dtypes.half, dtypes.float32, dtypes.float64]: with self.cached_session(): var0 = variables.Variable(array_ops.zeros([4, 2], dtype=dtype)) var1 = variables.Variable( constant_op.constant(1.0, dtype, [4, 2])) grads0 = ops.IndexedSlices( constant_op.constant([[.1, .1]], dtype=dtype), constant_op.constant([1]), constant_op.constant([4, 2])) grads1 = ops.IndexedSlices( constant_op.constant([[.01, .01], [.01, .01]], dtype=dtype), constant_op.constant([2, 3]), constant_op.constant([4, 2])) mom_opt = momentum_lib.MomentumOptimizer(learning_rate=2.0, momentum=0.9) mom_update = mom_opt.apply_gradients( zip([grads0, grads1], [var0, var1])) variables.global_variables_initializer().run() # Check we have slots self.assertEqual(["momentum"], mom_opt.get_slot_names()) slot0 = mom_opt.get_slot(var0, "momentum") self.assertEquals(slot0.get_shape(), var0.get_shape()) slot1 = mom_opt.get_slot(var1, "momentum") self.assertEquals(slot1.get_shape(), var1.get_shape()) # Fetch params to validate initial values self.assertAllClose([0, 0], var0.eval()[0]) self.assertAllClose([0, 0], var0.eval()[1]) self.assertAllClose([1, 1], var1.eval()[2]) # Step 1: the momentum accumulators are 0. So we should see a normal # update: v -= grad * learning_rate mom_update.run() # Check that the momentum accumulators have been updated. self.assertAllCloseAccordingToType(np.array([0, 0]), slot0.eval()[0]) self.assertAllCloseAccordingToType(np.array([.1, .1]), slot0.eval()[1]) self.assertAllCloseAccordingToType(np.array([.01, .01]), slot1.eval()[2]) # Check that the parameters have been updated. self.assertAllCloseAccordingToType(np.array([0, 0]), var0.eval()[0]) self.assertAllCloseAccordingToType( np.array([-(0.1 * 2.0), -(0.1 * 2.0)]), var0.eval()[1]) self.assertAllCloseAccordingToType( np.array([1.0 - (0.01 * 2.0), 1.0 - (0.01 * 2.0)]), var1.eval()[2]) # Step 2: the momentum accumulators contain the previous update. mom_update.run() # Check that the momentum accumulators have been updated. self.assertAllClose(np.array([0, 0]), slot0.eval()[0]) self.assertAllCloseAccordingToType( np.array([(0.9 * 0.1 + 0.1), (0.9 * 0.1 + 0.1)]), slot0.eval()[1]) self.assertAllCloseAccordingToType( np.array([(0.9 * 0.01 + 0.01), (0.9 * 0.01 + 0.01)]), slot1.eval()[2]) # Check that the parameters have been updated. self.assertAllClose(np.array([0, 0]), var0.eval()[0]) self.assertAllCloseAccordingToType( np.array([ -(0.1 * 2.0) - ((0.9 * 0.1 + 0.1) * 2.0), -(0.1 * 2.0) - ((0.9 * 0.1 + 0.1) * 2.0) ]), var0.eval()[1]) self.assertAllCloseAccordingToType( np.array([ 0.98 - ((0.9 * 0.01 + 0.01) * 2.0), 0.98 - ((0.9 * 0.01 + 0.01) * 2.0) ]), var1.eval()[2])
def doTestBasic(self, use_resource=False, use_callable_params=False): for i, dtype in enumerate( [dtypes.half, dtypes.float32, dtypes.float64]): if use_resource: var0 = resource_variable_ops.ResourceVariable([1.0, 2.0], dtype=dtype, name="var0_%d" % i) var1 = resource_variable_ops.ResourceVariable([3.0, 4.0], dtype=dtype, name="var1_%d" % i) else: var0 = variables.Variable([1.0, 2.0], dtype=dtype) var1 = variables.Variable([3.0, 4.0], dtype=dtype) grads0 = constant_op.constant([0.1, 0.1], dtype=dtype) grads1 = constant_op.constant([0.01, 0.01], dtype=dtype) learning_rate = lambda: 2.0 momentum = lambda: 0.9 if not use_callable_params: learning_rate = learning_rate() momentum = momentum() mom_opt = momentum_lib.MomentumOptimizer( learning_rate=learning_rate, momentum=momentum) mom_update = mom_opt.apply_gradients( zip([grads0, grads1], [var0, var1])) if not context.executing_eagerly(): self.evaluate(variables.global_variables_initializer()) # Fetch params to validate initial values self.assertAllClose([1.0, 2.0], self.evaluate(var0)) self.assertAllClose([3.0, 4.0], self.evaluate(var1)) # Check we have slots self.assertEqual(["momentum"], mom_opt.get_slot_names()) slot0 = mom_opt.get_slot(var0, "momentum") self.assertEquals(slot0.get_shape(), var0.get_shape()) slot1 = mom_opt.get_slot(var1, "momentum") self.assertEquals(slot1.get_shape(), var1.get_shape()) if not context.executing_eagerly(): self.assertFalse(slot0 in variables.trainable_variables()) self.assertFalse(slot1 in variables.trainable_variables()) # Step 1: the momentum accumulators where 0. So we should see a normal # update: v -= grad * learning_rate if not context.executing_eagerly(): self.evaluate(mom_update) # Check that the momentum accumulators have been updated. self.assertAllCloseAccordingToType(np.array([0.1, 0.1]), self.evaluate(slot0)) self.assertAllCloseAccordingToType(np.array([0.01, 0.01]), self.evaluate(slot1)) # Check that the parameters have been updated. self.assertAllCloseAccordingToType( np.array([1.0 - (0.1 * 2.0), 2.0 - (0.1 * 2.0)]), self.evaluate(var0)) self.assertAllCloseAccordingToType( np.array([3.0 - (0.01 * 2.0), 4.0 - (0.01 * 2.0)]), self.evaluate(var1)) # Step 2: the momentum accumulators contain the previous update. if context.executing_eagerly(): mom_opt.apply_gradients(zip([grads0, grads1], [var0, var1])) else: self.evaluate(mom_update) # Check that the momentum accumulators have been updated. self.assertAllCloseAccordingToType( np.array([(0.9 * 0.1 + 0.1), (0.9 * 0.1 + 0.1)]), self.evaluate(slot0)) self.assertAllCloseAccordingToType( np.array([(0.9 * 0.01 + 0.01), (0.9 * 0.01 + 0.01)]), self.evaluate(slot1)) # Check that the parameters have been updated. self.assertAllCloseAccordingToType( np.array([ 1.0 - (0.1 * 2.0) - ((0.9 * 0.1 + 0.1) * 2.0), 2.0 - (0.1 * 2.0) - ((0.9 * 0.1 + 0.1) * 2.0) ]), self.evaluate(var0)) self.assertAllCloseAccordingToType( np.array([ 2.98 - ((0.9 * 0.01 + 0.01) * 2.0), 3.98 - ((0.9 * 0.01 + 0.01) * 2.0) ]), self.evaluate(var1))