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update lbfgs app (#301)
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committed by
Philipp Moritz
parent
b5215f1e6a
commit
a97574d471
+89
-20
@@ -1,24 +1,92 @@
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import numpy as np
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import scipy.optimize
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import os
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import ray
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import functions
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import numpy as np
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import scipy.optimize
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import tensorflow as tf
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from tensorflow.examples.tutorials.mnist import input_data
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if __name__ == "__main__":
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worker_path = os.path.join(os.path.dirname(os.path.abspath(__file__)), "worker.py")
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ray.services.start_ray_local(num_workers=16, worker_path=worker_path)
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ray.services.start_ray_local(num_workers=16)
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print "Downloading and loading MNIST data..."
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mnist = input_data.read_data_sets("MNIST_data/", one_hot=True)
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# Define the dimensions of the data and of the model.
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image_dimension = 784
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label_dimension = 10
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w_shape = [image_dimension, label_dimension]
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w_size = np.prod(w_shape)
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b_shape = [label_dimension]
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b_size = np.prod(b_shape)
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dim = w_size + b_size
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batch_size = 100
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num_batches = mnist.train.num_examples / batch_size
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batches = [mnist.train.next_batch(batch_size) for _ in range(num_batches)]
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# Define a function for initializing the network. Note that this code does not
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# call initialize the network weights. If it did, the weights would be
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# randomly initialized on each worker and would differ from worker to worker.
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# We pass the weights into the remote functions loss and grad so that the
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# weights are the same on each worker.
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def net_initialization():
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x = tf.placeholder(tf.float32, [None, image_dimension])
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w = tf.Variable(tf.zeros(w_shape))
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b = tf.Variable(tf.zeros(b_shape))
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y = tf.nn.softmax(tf.matmul(x, w) + b)
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y_ = tf.placeholder(tf.float32, [None, label_dimension])
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cross_entropy = tf.reduce_mean(-tf.reduce_sum(y_ * tf.log(y), reduction_indices=[1]))
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cross_entropy_grads = tf.gradients(cross_entropy, [w, b])
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batch_refs = [(ray.put(xs), ray.put(ys)) for (xs, ys) in batches]
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w_new = tf.placeholder(tf.float32, w_shape)
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b_new = tf.placeholder(tf.float32, b_shape)
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update_w = w.assign(w_new)
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update_b = b.assign(b_new)
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sess = tf.Session()
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return sess, update_w, update_b, cross_entropy, cross_entropy_grads, x, y_, w_new, b_new
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# By default, when a reusable variable is used by a remote function, the
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# initialization code will be rerun at the end of the remote task to ensure
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# that the state of the variable is not changed by the remote task. However,
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# the initialization code may be expensive. This case is one example, because
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# a TensorFlow network is constructed. In this case, we pass in a special
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# reinitialization function which gets run instead of the original
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# initialization code. As users, if we pass in custom reinitialization code,
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# we must ensure that no state is leaked between tasks.
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def net_reinitialization(net_vars):
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return net_vars
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# Create a reusable variable for the network.
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ray.reusables.net_vars = ray.Reusable(net_initialization, net_reinitialization)
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# Load the weights into the network.
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def load_weights(theta):
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sess, update_w, update_b, _, _, _, _, w_new, b_new = ray.reusables.net_vars
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sess.run([update_w, update_b], feed_dict={w_new: theta[:w_size].reshape(w_shape), b_new: theta[w_size:]})
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# Compute the loss on a batch of data.
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@ray.remote([np.ndarray, np.ndarray, np.ndarray], [float])
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def loss(theta, xs, ys):
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sess, _, _, cross_entropy, _, x, y_, _, _ = ray.reusables.net_vars
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load_weights(theta)
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return float(sess.run(cross_entropy, feed_dict={x: xs, y_: ys}))
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# Compute the gradient of the loss on a batch of data.
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@ray.remote([np.ndarray, np.ndarray, np.ndarray], [np.ndarray])
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def grad(theta, xs, ys):
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sess, _, _, _, cross_entropy_grads, x, y_, _, _ = ray.reusables.net_vars
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load_weights(theta)
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gradients = sess.run(cross_entropy_grads, feed_dict={x: xs, y_: ys})
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return np.concatenate([g.flatten() for g in gradients])
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# Compute the loss on the entire dataset.
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def full_loss(theta):
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theta_ref = ray.put(theta)
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loss_refs = [loss(theta_ref, xs_ref, ys_ref) for (xs_ref, ys_ref) in batch_refs]
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return sum([ray.get(loss_ref) for loss_ref in loss_refs])
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# Compute the gradient of the loss on the entire dataset.
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def full_grad(theta):
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theta_ref = ray.put(theta)
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grad_refs = [grad(theta_ref, xs_ref, ys_ref) for (xs_ref, ys_ref) in batch_refs]
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return sum([ray.get(grad_ref) for grad_ref in grad_refs]).astype("float64") # This conversion is necessary for use with fmin_l_bfgs_b.
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# From the perspective of scipy.optimize.fmin_l_bfgs_b, full_loss is simply a
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# function which takes some parameters theta, and computes a loss. Similarly,
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@@ -29,15 +97,16 @@ if __name__ == "__main__":
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# potentially distributed over a cluster. However, these details are hidden
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# from scipy.optimize.fmin_l_bfgs_b, which simply uses it to run the L-BFGS
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# algorithm.
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def full_loss(theta):
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theta_ref = ray.put(theta)
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loss_refs = [functions.loss(theta_ref, xs_ref, ys_ref) for (xs_ref, ys_ref) in batch_refs]
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return sum([ray.get(loss_ref) for loss_ref in loss_refs])
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def full_grad(theta):
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theta_ref = ray.put(theta)
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grad_refs = [functions.grad(theta_ref, xs_ref, ys_ref) for (xs_ref, ys_ref) in batch_refs]
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return sum([ray.get(grad_ref) for grad_ref in grad_refs]).astype("float64") # This conversion is necessary for use with fmin_l_bfgs_b.
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# Load the mnist data and turn the data into remote objects.
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print "Downloading the MNIST dataset. This may take a minute."
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mnist = input_data.read_data_sets("MNIST_data", one_hot=True)
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batch_size = 100
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num_batches = mnist.train.num_examples / batch_size
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batches = [mnist.train.next_batch(batch_size) for _ in range(num_batches)]
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batch_refs = [(ray.put(xs), ray.put(ys)) for (xs, ys) in batches]
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theta_init = np.zeros(functions.dim)
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# Initialize the weights for the network to the vector of all zeros.
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theta_init = 1e-2 * np.random.normal(size=dim)
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# Use L-BFGS to minimize the loss function.
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result = scipy.optimize.fmin_l_bfgs_b(full_loss, theta_init, maxiter=10, fprime=full_grad, disp=True)
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