【AICon】探索八个行业创新案例,教你在教育、金融、医疗、法律等领域实践大模型技术! >>> 了解详情
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 08:00679

评论

发布
暂无评论
发现更多内容

Centos7最小安装配置 | 运维 | Linux

Appleex

Linux 运维

苏州太仓| 第六届“创赢太仓”全球创业大赛博士后专场项目征集公告

科兴未来News

生物医药 双创大赛承办 苏州 医疗器械 博士后

Docker | Compose创建mysql容器

甜点cc

MySQL Docker 10月月更

Spring Boot「11」查看所有托管的 Bean

Samson

Java spring 学习笔记 spring-boot 10月月更

科兴未来-江苏盐城|第六届绿巢环保创业大赛火热启动

科兴未来News

新能源 双创 低碳环保

Docker | 网络及原理探究

甜点cc

Docker 运维 10月月更

测试需求平台6-数据持久化与PyMySQL使用

MegaQi

Python 10月月更 测试开发实战

Glibc---_IO_file_xsputn函数逻辑分析

桑榆

源码刨析 10月月更 C++

Linux基础命令

渔戈

Linux ubuntu 10月月更

可靠消息最终一致性分布式事务

C++后台开发

数据库 分布式 后端开发 linux开发 C++开发

node.js

急需上岸的小谢

10月月更

日志的艺术

俞凡

架构

Vue组件入门(十二)具名插槽

Augus

Vue 10月月更

【Java深入学习】一个经典问题-消费者和生产者问题-下

Geek_65222d

10月月更

Excel 文件的读取

智趣匠

学习方法 Python Monad Excel数据分析

高逼格!程序员专属音乐播。。。

Jackpop

消息中间件:概念&应用

agnostic

消息中间件

Go语言入门—05数组

良猿

Go golang 后端 10月月更

程”风破浪的开发者|说说我的学习方法

来碗老郭

学习方法 “程”风破浪的开发者

正则表达式入门与进阶

Studying_swz

正则表达式 10月月更

spring整合mybatis、springMVC(总结)

Studying_swz

spring 10月月更

一文全貌了解线程池的正确使用姿势

JAVA旭阳

Java 线程池 10月月更

ScheduledThreadPoolExecutor踩过最痛的坑

JAVA旭阳

Java 线程池 10月月更

spring事务失效的情况

急需上岸的小谢

10月月更

Spring Boot概述(一)

Studying_swz

10月月更

【kubernetes技术专题】Kubernetes架构分析介绍篇(进阶篇)

洛神灬殇

Kubernetes 10月月更

在平面国生活,会是怎样的体验?

脑极体

人工智能

Docker | 网络模型以及容器通信

甜点cc

Docker 运维 10月月更

学习线程池原理从手写一个线程池开始

JAVA旭阳

Java 线程池 10月月更

“程”风破浪的开发者|走近 testflight 上架

No Silver Bullet

学习方法 10月月更 “程”风破浪的开发者 testflight iOS上架

2022年都快结束了,Java的这些新技术、热门技术,你不会还不知道吧?

wljslmz

Java 微服务 后端 10月月更 jdk19

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