from keras.optimizers import Optimizer from keras import backend as K import six import copy from six.moves import zip from keras.utils.generic_utils import serialize_keras_object from keras.utils.generic_utils import deserialize_keras_object from keras.legacy import interfaces class AdamW(Optimizer): """Adam optimizer. Default parameters follow those provided in the original paper. # Arguments lr: float >= 0. Learning rate. beta_1: float, 0 < beta < 1. Generally close to 1. beta_2: float, 0 < beta < 1. Generally close to 1. epsilon: float >= 0. Fuzz factor. decay: float >= 0. Learning rate decay over each update. weight_decay: float >= 0. Decoupled weight decay over each update. # References - [Adam - A Method for Stochastic Optimization](http://arxiv.org/abs/1412.6980v8) - [Optimization for Deep Learning Highlights in 2017](http://ruder.io/deep-learning-optimization-2017/index.html) - [Fixing Weight Decay Regularization in Adam](https://arxiv.org/abs/1711.05101) """ def __init__(self, lr=0.001, beta_1=0.9, beta_2=0.999, weight_decay=1e-4, # decoupled weight decay (1/4) epsilon=1e-8, decay=0., **kwargs): super(AdamW, self).__init__(**kwargs) with K.name_scope(self.__class__.__name__): self.iterations = K.variable(0, dtype='int64', name='iterations') self.lr = K.variable(lr, name='lr') self.beta_1 = K.variable(beta_1, name='beta_1') self.beta_2 = K.variable(beta_2, name='beta_2') self.decay = K.variable(decay, name='decay') self.wd = K.variable(weight_decay, name='weight_decay') # decoupled weight decay (2/4) self.epsilon = epsilon self.initial_decay = decay @interfaces.legacy_get_updates_support def get_updates(self, loss, params): grads = self.get_gradients(loss, params) self.updates = [K.update_add(self.iterations, 1)] wd = self.wd # decoupled weight decay (3/4) lr = self.lr if self.initial_decay > 0: lr *= (1. / (1. + self.decay * K.cast(self.iterations, K.dtype(self.decay)))) t = K.cast(self.iterations, K.floatx()) + 1 lr_t = lr * (K.sqrt(1. - K.pow(self.beta_2, t)) / (1. - K.pow(self.beta_1, t))) ms = [K.zeros(K.int_shape(p), dtype=K.dtype(p)) for p in params] vs = [K.zeros(K.int_shape(p), dtype=K.dtype(p)) for p in params] self.weights = [self.iterations] + ms + vs for p, g, m, v in zip(params, grads, ms, vs): m_t = (self.beta_1 * m) + (1. - self.beta_1) * g v_t = (self.beta_2 * v) + (1. - self.beta_2) * K.square(g) p_t = p - lr_t * m_t / (K.sqrt(v_t) + self.epsilon) - lr * wd * p # decoupled weight decay (4/4) self.updates.append(K.update(m, m_t)) self.updates.append(K.update(v, v_t)) new_p = p_t # Apply constraints. if getattr(p, 'constraint', None) is not None: new_p = p.constraint(new_p) self.updates.append(K.update(p, new_p)) return self.updates def get_config(self): config = {'lr': float(K.get_value(self.lr)), 'beta_1': float(K.get_value(self.beta_1)), 'beta_2': float(K.get_value(self.beta_2)), 'decay': float(K.get_value(self.decay)), 'weight_decay': float(K.get_value(self.wd)), 'epsilon': self.epsilon} base_config = super(AdamW, self).get_config() return dict(list(base_config.items()) + list(config.items()))