写点什么

tensorflow 中 ASGD with Delay Compensation 优化器代码实现

  • 2019-11-29
  • 本文字数:8344 字

    阅读完需:约 27 分钟

tensorflow中ASGD with Delay Compensation优化器代码实现

一. DC-ASGD 算法介绍

此前,和大家也一起讨论过 DC-ASGD 算法,详细可见:https://zhuanlan.zhihu.com/p/80978479


DC-ASGD 算法主要解决的问题是:异步的随机梯度下降法(ASGD)在深度学习模型的训练中会存在 delayed gradients 的问题,就是当一个 worker 向参数 server 端提交它算出的梯度时,server 端其实已经被其它 worker 更新过好多次了。主要解决方案是利用梯度项的泰勒展开式去近似逼近 loss 函数的 Hessian 矩阵。


具体算法:


二. DC-ASGD 算法 tensorflow 实现

那么如何在 tensorflow 中实现 dc-asgd 算法呢?在上一篇文章中,我们讨论过 tensorflow 中 Optimizer 类的源码解析,其实就是为该篇文章做铺垫。接下来我们就具体分析下 Optimizer 的子类-DelayCompensatedGradientDescentOptimizer 类。


"""DelayCompensatedGradientDescentOptimizer for TensorFlow."""from __future__ import absolute_importfrom __future__ import divisionfrom __future__ import print_function
from tensorflow.python.framework import opsfrom tensorflow.python.ops import array_opsfrom tensorflow.python.ops import control_flow_opsfrom tensorflow.python.ops import math_opsfrom tensorflow.python.ops import state_opsfrom tensorflow.python.training import optimizerfrom tensorflow.python.training import training_ops
GATE_NONE = 0GATE_OP = 1GATE_GRAPH = 2

class DelayCompensatedGradientDescentOptimizer(optimizer.Optimizer): """Optimizer that implements the DelayCompensatedGradientDescent algorithm. See [](https://arxiv.org/abs/1609.08326) ([](https://arxiv.org/pdf/1609.08326.pdf)). """
def __init__(self, learning_rate, variance_parameter=2.0, num_workers=1, use_locking=False, name="DelayCompensatedGradientDescentOptimizer"):
"""Construct a gradient descent optimizer with delay compensation. It is cricial to note the `num_workers` in constructor and `worker_index` in `minimize()` and `apply_gradients()`. Contrast to AdaMaxamOptimizer, the sparse implementation of this algorithm (used when the gradient is an IndexedSlices object, typically because of `tf.gather` or an embedding lookup in the forward pass) only updates variable slices and corresponding `shadow_t` term when that part of the variable was used in the forward pass. This means that the sparse behavior is contrast to the dense behavior (similar to some momentum implementations which ignore momentum unless a variable slice was actually used). Args: learning_rate: A Tensor or a floating point value. The learning rate. variance_parameter: A Tensor or a floating point value. The variance control parameter. num_workers: A int value. The number of workers. use_locking: If True use locks for update operations. name: Optional name for the operations created when applying gradients. Defaults to "DelayCompensatedGradientDescentOptimizer". """ num_workers = self._call_if_callable(num_workers) if num_workers <= 0: raise ValueError("num_workers must be positive: %s" % num_workers) super(DelayCompensatedGradientDescentOptimizer, self).__init__(use_locking, name) self._lr = learning_rate self._lambda = variance_parameter self._num_workers = num_workers self._learning_rate_tensor = None self._lambda_tensor = None self._use_locking = use_locking
def _create_slots(self, var_list): for index in range(self._num_workers): for v in var_list: self._zeros_slot(v, "shadow_{0}".format(index), self._name)
def _prepare(self): lr = self._call_if_callable(self._lr) lambda_ = self._call_if_callable(self._lambda)
self._learning_rate_tensor = ops.convert_to_tensor(lr, name="learning_rate") self._lambda_tensor = ops.convert_to_tensor(lambda_, name="lambda")
def _apply_dense(self, grad, var):
shadow = self.get_slot(var, "shadow_{0}".format(self.worker_index)) return training_ops.apply_delay_compensated_gradient_descent( var, math_ops.cast(self._learning_rate_tensor, grad.dtype.base_dtype), grad, math_ops.cast(self._lambda_tensor, grad.dtype.base_dtype), shadow, use_locking=self._use_locking).op
def _resource_apply_dense(self, grad, var):
shadow = self.get_slot(var, "shadow_{0}".format(self.worker_index)) return training_ops.resource_apply_delay_compensated_gradient_descent( var.handle, math_ops.cast(self._learning_rate_tensor, grad.dtype.base_dtype), grad, math_ops.cast(self._lambda_tensor, grad.dtype.base_dtype), shadow.handle, use_locking=self._use_locking)
def _apply_sparse_shared(self, grad, var, indices):
shadow = self.get_slot(var, "shadow_{0}".format(self.worker_index)) # if shadow is None: # raise ValueError("None shadow with index = " + str(self.worker_index) + " and var = " + str(var)) lambda_ = math_ops.cast(self._lambda_tensor, var.dtype.base_dtype) lr = math_ops.cast(self._learning_rate_tensor, var.dtype.base_dtype)
var_slice = array_ops.gather(var, indices) shadow_slice = array_ops.gather(shadow, indices)
var_scaled_g_values = lr * (grad + lambda_ * grad * grad * (var_slice - shadow_slice))
var_t = state_ops.scatter_add(var, indices, -var_scaled_g_values, use_locking=self._use_locking)
with ops.control_dependencies([var_t]): shadow_t = state_ops.assign(shadow, var_t)
return control_flow_ops.group(*[var_t, shadow_t])
def _apply_sparse(self, grad, var): return self._apply_sparse_shared( grad.values, var, grad.indices)
def _resource_apply_sparse(self, grad, var, indices): return self._apply_sparse_shared( grad, var, indices)
def minimize(self, loss, global_step=None, var_list=None, gate_gradients=GATE_OP, aggregation_method=None, colocate_gradients_with_ops=False, name=None, grad_loss=None, worker_index=0): self.worker_index = worker_index return super(DelayCompensatedGradientDescentOptimizer, self).minimize(loss=loss, global_step=global_step, var_list=var_list, gate_gradients=gate_gradients, aggregation_method=aggregation_method, colocate_gradients_with_ops=colocate_gradients_with_ops, name=name, grad_loss=grad_loss)
def apply_gradients(self, grads_and_vars, global_step=None, name=None, worker_index=0): self.worker_index = worker_index return super(DelayCompensatedGradientDescentOptimizer, self).apply_gradients(grads_and_vars=grads_and_vars,
复制代码


                                                                                 global_step=global_step, name=name)
复制代码


_create_slots 函数用来创建一些额外的参数,这里创建的是每一个 worker 上的每一个 variable 所对应的备份变量 shadow。_prepare 函数用来准备优化器的常规超参数。


我们重点关注下_apply_sparse 函数,该函数调用的是_apply_sparse_shared 函数,参数 grad 的数据类型是 IndexedSlices 类型,那么什么是 IndexedSlices 类型呢?这里 Slice 的意思是从 Tensor 里面取特定的一些下标得到原先 tensor 变量的一部分,比如说原来的 tensor 的 shape 是[10,10],取下标[0]得到一个[10]的 Tensor,这个 Tensor 就是原 Tensor 的一个 Slice。那么 IndexedSlices 其实就是一堆 Slices 和它们所对应的下标(也就是 Index)。在梯度更新过程中,如果只需要更新某几行的梯度值,就可以将梯度表示成这种数据结构,来节省计算资源。


所以_apply_sparse_shared 函数参数传入的是 grad.values 和 grad.indices,分别表示特定行的梯度值和行的下标。在计算梯度项时:var_scaled_g_values = lr *(grad + lambda_ * grad * grad *(var_slice - shadow_slice)),也需要先求出特定行的 var_slice 和 shadow_slice。然后根据求出的梯度项更新参数时:var_t = state_ops.scatter_add(var, indices,-var_scaled_g_values, use_locking=self._use_locking),也是在特定的那些行(根据 indices 确定的)做更新。


当这一轮的参数做完更新后,需要将当前时刻的变量 var_t 备份一下,以用于下一时刻的参数更新:shadow_t = state_ops.assign(shadow, var_t)。最后将 var_t, shadow_t 的更新操作放进 control_flow_ops 中。


我们举一个简单的 example 来说明一下这种 IndexedSlices 类型的梯度是怎么更新的:


import numpy as npimport tensorflow as tffrom tensorflow.python.framework import constant_opfrom tensorflow.python.framework import opsfrom tensorflow.python.ops import variablesfrom tensorflow.python.training import adam

if __name__ == '__main__': value_a = np.ones(shape=[3, 10]) indices_a = np.array([0, 3, 8]) dense_shape_a = [10, 10] grad_slices_a = ops.IndexedSlices(constant_op.constant(value_a), constant_op.constant(indices_a), constant_op.constant(dense_shape_a))
var_np = np.ones(shape=[10, 10])
var0 = variables.RefVariable(var_np) opt = adam.AdamOptimizer() update = opt.apply_gradients(zip([grad_slices_a], [var0])) # variables.global_variables_initializer().run() sess = tf.Session() sess.run(tf.global_variables_initializer()) print("initial variable is:", sess.run(var0)) sess.run(update) print("update 1 time variable is:", sess.run(var0))

输出:initial variable is: [[1. 1. 1. 1. 1. 1. 1. 1. 1. 1.] [1. 1. 1. 1. 1. 1. 1. 1. 1. 1.] [1. 1. 1. 1. 1. 1. 1. 1. 1. 1.] [1. 1. 1. 1. 1. 1. 1. 1. 1. 1.] [1. 1. 1. 1. 1. 1. 1. 1. 1. 1.] [1. 1. 1. 1. 1. 1. 1. 1. 1. 1.] [1. 1. 1. 1. 1. 1. 1. 1. 1. 1.] [1. 1. 1. 1. 1. 1. 1. 1. 1. 1.] [1. 1. 1. 1. 1. 1. 1. 1. 1. 1.] [1. 1. 1. 1. 1. 1. 1. 1. 1. 1.]]update 1 time variable is: [[0.999 0.999 0.999 0.999 0.999 0.999 0.999 0.999 0.999 0.999] [1. 1. 1. 1. 1. 1. 1. 1. 1. 1. ] [1. 1. 1. 1. 1. 1. 1. 1. 1. 1. ] [0.999 0.999 0.999 0.999 0.999 0.999 0.999 0.999 0.999 0.999] [1. 1. 1. 1. 1. 1. 1. 1. 1. 1. ] [1. 1. 1. 1. 1. 1. 1. 1. 1. 1. ] [1. 1. 1. 1. 1. 1. 1. 1. 1. 1. ] [1. 1. 1. 1. 1. 1. 1. 1. 1. 1. ] [0.999 0.999 0.999 0.999 0.999 0.999 0.999 0.999 0.999 0.999] [1. 1. 1. 1. 1. 1. 1. 1. 1. 1. ]]
复制代码


可以很清楚地看到,执行一次梯度更新之后,只有 0,3,8 这三行的变量值发生了改变。这就是使用 IndexedSlices 类型的优势。


另外,training_ops.apply_delay_compensated_gradient_descent 这个函数是在 tensorflow/core/kernels/training_ops.cc 中实现的,核心代码如下:


template <typename T>struct ApplyDelayCompensatedGradientDescent<CPUDevice, T> {  void operator()(const CPUDevice& d, typename TTypes<T>::Flat var,                   typename TTypes<T>::ConstScalar lr,                   typename TTypes<T>::ConstFlat grad,                   typename TTypes<T>::ConstScalar variance,                   typename TTypes<T>::Flat shadow) {    var.device(d) -= lr() * (grad + variance() * grad * grad * (var - shadow));    shadow.device(d) = var;  }};
复制代码


其实除了这两个文件之外,还需要写一下注册 ApplyDelayCompensatedGradientDescent 的 OP 接口,这里就不详细讲解了。

三.如何使用 DC-ASGD 算法

在 tensorflow 源码目录中修改或添加完 dc-asgd 算法的几个相关文件后,需要重新编译一下 tensorflow。编译成功后,就可以愉快地使用 dc-asgd 算法的接口啦。


下面给大家举一个使用 DelayCompensatedGradientDescentOptimizer 优化器的分布式训练 demo:


from __future__ import print_function, absolute_import, division
import tensorflow as tf
tf.app.flags.DEFINE_string("ps_hosts", "localhost:2222", "ps hosts")tf.app.flags.DEFINE_string("worker_hosts", "localhost:2223,localhost:2224", "worker hosts")tf.app.flags.DEFINE_string("job_name", "worker", "'ps' or'worker'")tf.app.flags.DEFINE_integer("task_index", 0, "Index of task within the job")tf.app.flags.DEFINE_integer("num_workers", 2, "Number of workers")tf.app.flags.DEFINE_boolean("is_sync", False, "using synchronous training or not")
FLAGS = tf.app.flags.FLAGS

def model(images): """Define a simple mnist classifier""" net = tf.layers.dense(images, 500, activation=tf.nn.relu) net = tf.layers.dense(net, 500, activation=tf.nn.relu) net = tf.layers.dense(net, 10, activation=None) return net

(x_train, y_train), (x_test, y_test) = tf.keras.datasets.mnist.load_data()x_train = x_train.reshape(-1, 784).astype('float32')x_test = x_test.reshape(-1, 784).astype('float32')x_train /= 255x_test /= 255

def get_batch(image, label, batch_size=32, training=True): df = tf.data.Dataset.from_tensor_slices((image, label)) if training: df = df.repeat(10).shuffle(buffer_size=1000) df = df.batch(batch_size).prefetch(batch_size) iterator = df.make_one_shot_iterator() batch_x, batch_y = iterator.get_next() return batch_x, batch_y

def main(_): ps_hosts = FLAGS.ps_hosts.split(",") worker_hosts = FLAGS.worker_hosts.split(",")
# create the cluster configured by `ps_hosts' and 'worker_hosts' cluster = tf.train.ClusterSpec({"ps": ps_hosts, "worker": worker_hosts})
# create a server for local task server = tf.train.Server(cluster, job_name=FLAGS.job_name, task_index=FLAGS.task_index)
train_batch_x, train_batch_y = get_batch(x_train, y_train) test_batch_x, test_batch_y = get_batch(x_test, y_test, training=False)
if FLAGS.job_name == "ps": server.join() # ps hosts only join elif FLAGS.job_name == "worker": # workers perform the operation # ps_strategy = tf.contrib.training.GreedyLoadBalancingStrategy(FLAGS.num_ps)
# Note: tf.train.replica_device_setter automatically place the paramters (Variables) # on the ps hosts (default placement strategy: round-robin over all ps hosts, and also # place multi copies of operations to each worker host with tf.device(tf.train.replica_device_setter(worker_device="/job:worker/task:%d" % FLAGS.task_index, cluster=cluster)):
logits = model(train_batch_x) loss = tf.reduce_mean( tf.nn.softmax_cross_entropy_with_logits(logits=logits, labels=tf.one_hot(train_batch_y, 10)))
# The StopAtStepHook handles stopping after running given steps. hooks = [tf.train.StopAtStepHook(last_step=10000)]
global_step = tf.train.get_or_create_global_step() #optimizer = tf.train.AdamOptimizer(learning_rate=1e-04) optimizer = tf.contrib.opt.DelayCompensatedGradientDescentOptimizer(learning_rate=0.001)
if FLAGS.is_sync: # asynchronous training # use tf.train.SyncReplicasOptimizer wrap optimizer # ref: https://www.tensorflow.org/api_docs/python/tf/train/SyncReplicasOptimizer optimizer = tf.train.SyncReplicasOptimizer(optimizer, replicas_to_aggregate=FLAGS.num_workers, total_num_replicas=FLAGS.num_workers) # create the hook which handles initialization and queues hooks.append(optimizer.make_session_run_hook((FLAGS.task_index == 0)))
train_op = optimizer.minimize(loss, global_step=global_step)
# The MonitoredTrainingSession takes care of session initialization, # restoring from a checkpoint, saving to a checkpoint, and closing when done # or an error occurs. with tf.train.MonitoredTrainingSession(master=server.target, is_chief=(FLAGS.task_index == 0), checkpoint_dir="./checkpoint_dir", hooks=hooks) as mon_sess: while not mon_sess.should_stop(): # mon_sess.run handles AbortedError in case of preempted PS. _, ls, step = mon_sess.run([train_op, loss, global_step]) if step % 100 == 0: print("Train step %d, loss: %f" % (step, ls))

if __name__ == "__main__": tf.app.run()
复制代码


启动命令是:


python dc_asgd_exp.py --ps_hosts=localhost:2222 --worker_hosts=localhost:2224 --job_name=ps --task_index=0python dc_asgd_exp.py --ps_hosts=localhost:2222 --worker_hosts=localhost:2224 --job_name=worker --task_index=0
复制代码


参考文献:


https://zhuanlan.zhihu.com/p/80978479


https://zhuanlan.zhihu.com/p/87348147


https://www.zhihu.com/question/277403551


https://zhuanlan.zhihu.com/p/35083779


本文转载自 Alex-zhai 知乎账号。


原文链接:https://www.zhihu.com/people/alex-zhai-19/posts


2019-11-29 08:00850

评论

发布
暂无评论
发现更多内容

2020年运维行业学啥技术比较值钱?

EUSCE

DevOps 运维 运维自动化 系统运维 linux运维

如何查看Django ORM执行的SQL语句

BigYoung

sql django ORM 查询

linux入门系列9--用户管理及文件权限控制

黑马腾云

Linux centos centos7 linux运维 linux用户权限

区块链的想象,解决贫富差距

CECBC

区块链 货币 股市

两分钟给你讲清楚JavaScript中的闭包与this

在沉默中

Java 闭包

linux入门系列10--firewalld防火墙管理

黑马腾云

Linux centos 防火墙 linux运维 linux防火墙

《精益产品开发》随笔

研发管理Jojo

敏捷开发 精益思想 敏捷教练

jQuery笔记

一个坚强的小怪兽

jquery

SSH免密登录

Radix10

Linux Shell 加密 openssh SSH

深化产教融合,共育数字人才

InfoQ_967a83c6d0d7

B站抽奖

・ 懒ヾ

图解JavaScript——进阶篇(执行上下文、变量对象、作用域、作用域链、闭包、this、原型及原型链、事件循环等一把梭)

执鸢者

Java 大前端 函数执行 事件循环

内容审核平台助力猫爪构建健康安全的社交环境

百度大脑

人工智能 百度 百度大脑 内容审核

学习python(嵩天老师的课)

Geek_2a27b0

《八佰》,电影的价值已在真实之外

zhoo299

随笔杂谈 电影

英伟达收购ARM:双赢还是灾难?

脑极体

JVM原理与实战

东哥

威联通(NAS)应用篇:搭建个人音乐中心

BigYoung

NAS QNAP 音乐 搭建 无损

深度学习框架“国货”正当时,但要警惕无差别投入的“产业陷阱”

脑极体

linux入门系列8--shell编程入门

黑马腾云

Linux centos Shell linux命令 linux编程

35岁大厂程序员被劝退!老板说:没年轻人有冲劲!真有内味了吗?

程序员生活志

程序员 职场

没想到,Git居然有3种“后悔药”!

Geek Tech

git git reset

MySQL-技术专题-分区表和合并表详解

洛神灬殇

SkyWalking为超大规模而生

热心的朝阳群众

Skywalking 开源社区

为什么Mysql索引非得是B+树

知方可达

MySQL

推荐几个实用的前端编辑工具VSCode插件,让你开发事半功倍,告别加班烦恼

web前端程序猿

vscode 大前端 工具软件

你用对锁了吗?浅谈 Java “锁” 事

yes

Java 多线程与高并发

你的面向接口编程一定对吗?

架构师修行之路

要老婆吗? AR一键生成的那种

程序员生活志

没有一个冬天不会过去!疫情当下,企业“逆势而上”必选“上云”跑道

华为云开发者联盟

云计算 新基建 华为云 企业上云 云服务器

学习笔记

Qx

学习

tensorflow中ASGD with Delay Compensation优化器代码实现_语言 & 开发_Alex-zhai_InfoQ精选文章