def testDecay(self): num_training_steps = 1000 initial_lr = 1.0 for step in range(0, 1500, 250): decayed_lr = learning_rate_decay_v2.cosine_decay(initial_lr, step, num_training_steps) expected = self.np_cosine_decay(step, num_training_steps) self.assertAllClose(self.evaluate(decayed_lr()), expected, 1e-6)
def cosine_decay(learning_rate, global_step, decay_steps, alpha=0.0, name=None): """Applies cosine decay to the learning rate. See [Loshchilov & Hutter, ICLR2016], SGDR: Stochastic Gradient Descent with Warm Restarts. https://arxiv.org/abs/1608.03983 When training a model, it is often recommended to lower the learning rate as the training progresses. This function applies a cosine decay function to a provided initial learning rate. It requires a `global_step` value to compute the decayed learning rate. You can just pass a TensorFlow variable that you increment at each training step. The function returns the decayed learning rate. It is computed as: ```python global_step = min(global_step, decay_steps) cosine_decay = 0.5 * (1 + cos(pi * global_step / decay_steps)) decayed = (1 - alpha) * cosine_decay + alpha decayed_learning_rate = learning_rate * decayed ``` Example usage: ```python decay_steps = 1000 lr_decayed = cosine_decay(learning_rate, global_step, decay_steps) ``` Args: learning_rate: A scalar `float32` or `float64` Tensor or a Python number. The initial learning rate. global_step: A scalar `int32` or `int64` `Tensor` or a Python number. Global step to use for the decay computation. decay_steps: A scalar `int32` or `int64` `Tensor` or a Python number. Number of steps to decay over. alpha: A scalar `float32` or `float64` Tensor or a Python number. Minimum learning rate value as a fraction of learning_rate. name: String. Optional name of the operation. Defaults to 'CosineDecay'. Returns: A scalar `Tensor` of the same type as `learning_rate`. The decayed learning rate. Raises: ValueError: if `global_step` is not supplied. @compatibility(eager) When eager execution is enabled, this function returns a function which in turn returns the decayed learning rate Tensor. This can be useful for changing the learning rate value across different invocations of optimizer functions. @end_compatibility """ decayed_lr = learning_rate_decay_v2.cosine_decay( learning_rate, global_step, decay_steps, alpha=alpha, name=name) if not context.executing_eagerly(): decayed_lr = decayed_lr() return decayed_lr
def cosine_decay(learning_rate, global_step, decay_steps, alpha=0.0, name=None): """Applies cosine decay to the learning rate. See [Loshchilov & Hutter, ICLR2016], SGDR: Stochastic Gradient Descent with Warm Restarts. https://arxiv.org/abs/1608.03983 When training a model, it is often recommended to lower the learning rate as the training progresses. This function applies a cosine decay function to a provided initial learning rate. It requires a `global_step` value to compute the decayed learning rate. You can just pass a TensorFlow variable that you increment at each training step. The function returns the decayed learning rate. It is computed as: ```python global_step = min(global_step, decay_steps) cosine_decay = 0.5 * (1 + cos(pi * global_step / decay_steps)) decayed = (1 - alpha) * cosine_decay + alpha decayed_learning_rate = learning_rate * decayed ``` Example usage: ```python decay_steps = 1000 lr_decayed = cosine_decay(learning_rate, global_step, decay_steps) ``` Args: learning_rate: A scalar `float32` or `float64` Tensor or a Python number. The initial learning rate. global_step: A scalar `int32` or `int64` `Tensor` or a Python number. Global step to use for the decay computation. decay_steps: A scalar `int32` or `int64` `Tensor` or a Python number. Number of steps to decay over. alpha: A scalar `float32` or `float64` Tensor or a Python number. Minimum learning rate value as a fraction of learning_rate. name: String. Optional name of the operation. Defaults to 'CosineDecay'. Returns: A scalar `Tensor` of the same type as `learning_rate`. The decayed learning rate. Raises: ValueError: if `global_step` is not supplied. @compatibility(eager) When eager execution is enabled, this function returns a function which in turn returns the decayed learning rate Tensor. This can be useful for changing the learning rate value across different invocations of optimizer functions. @end_compatibility """ decayed_lr = learning_rate_decay_v2.cosine_decay(learning_rate, global_step, decay_steps, alpha=alpha, name=name) if not context.executing_eagerly(): decayed_lr = decayed_lr() return decayed_lr