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Deep learning networks are typically trained by Stochastic Gradient Descent (SGD) methods that iteratively improve the model parameters by estimating a gradient on a very small fraction of the training data. A major roadblock faced when…

机器学习 · 计算机科学 2020-06-11 Tao Lin , Lingjing Kong , Sebastian U. Stich , Martin Jaggi

While first-order optimization methods such as stochastic gradient descent (SGD) are popular in machine learning (ML), they come with well-known deficiencies, including relatively-slow convergence, sensitivity to the settings of…

最优化与控制 · 数学 2018-02-19 Peng Xu , Farbod Roosta-Khorasani , Michael W. Mahoney

Deep neural networks (DNNs) must cater to a variety of users with different performance needs and budgets, leading to the costly practice of training, storing, and maintaining numerous user/task-specific models. There are solutions in the…

Deep Neural Networks (DNNs) thrive in recent years in which Batch Normalization (BN) plays an indispensable role. However, it has been observed that BN is costly due to the reduction operations. In this paper, we propose alleviating this…

机器学习 · 计算机科学 2018-11-05 Zhaodong Chen , Lei Deng , Guoqi Li , Jiawei Sun , Xing Hu , Xin Ma , Yuan Xie

In empirical risk optimization, it has been observed that stochastic gradient implementations that rely on random reshuffling of the data achieve better performance than implementations that rely on sampling the data uniformly. Recent works…

机器学习 · 计算机科学 2019-01-30 Bicheng Ying , Kun Yuan , Stefan Vlaski , Ali H. Sayed

Recent works show that ordering of the training data affects the model performance for Neural Machine Translation. Several approaches involving dynamic data ordering and data sharding based on curriculum learning have been analysed for the…

计算与语言 · 计算机科学 2019-09-25 Siddhant Garg

A fundamental challenge in Deep Learning is to find optimal step sizes for stochastic gradient descent automatically. In traditional optimization, line searches are a commonly used method to determine step sizes. One problem in Deep…

机器学习 · 计算机科学 2022-02-22 Maximus Mutschler , Kevin Laube , Andreas Zell

Stochastic optimisation algorithms are the de facto standard for machine learning with large amounts of data. Handling only a subset of available data in each optimisation step dramatically reduces the per-iteration computational costs,…

数值分析 · 数学 2024-12-19 Matthias J. Ehrhardt , Zeljko Kereta , Jingwei Liang , Junqi Tang

Interpretation of Deep Neural Networks (DNNs) training as an optimal control problem with nonlinear dynamical systems has received considerable attention recently, yet the algorithmic development remains relatively limited. In this work, we…

机器学习 · 计算机科学 2021-06-14 Guan-Horng Liu , Tianrong Chen , Evangelos A. Theodorou

Highly overparametrized neural networks can display curiously strong generalization performance - a phenomenon that has recently garnered a wealth of theoretical and empirical research in order to better understand it. In contrast to most…

机器学习 · 计算机科学 2020-09-29 Jorg Bornschein , Francesco Visin , Simon Osindero

The optimization of Binary Neural Networks (BNNs) relies on approximating the real-valued weights with their binarized representations. Current techniques for weight-updating use the same approaches as traditional Neural Networks (NNs) with…

In this work, we propose a new training method for finding minimum weight norm solutions in over-parameterized neural networks (NNs). This method seeks to improve training speed and generalization performance by framing NN training as a…

机器学习 · 统计学 2018-06-22 Yamini Bansal , Madhu Advani , David D Cox , Andrew M Saxe

A distribution shift between the training and test data can severely harm performance of machine learning models. Importance weighting addresses this issue by assigning different weights to data points during training. We argue that…

机器学习 · 统计学 2025-11-17 Floris Holstege , Bram Wouters , Noud van Giersbergen , Cees Diks

The lack of mathematical tractability of Deep Neural Networks (DNNs) has hindered progress towards having a unified convergence analysis of training algorithms, in the general setting. We propose a unified optimization framework for…

机器学习 · 计算机科学 2018-05-24 Hadi Ghauch , Hossein Shokri-Ghadikolaei , Carlo Fischione , Mikael Skoglund

Recurrent Neural Networks (RNNs) are powerful models for sequential data that have the potential to learn long-term dependencies. However, they are computationally expensive to train and difficult to parallelize. Recent work has shown that…

机器学习 · 统计学 2015-10-07 César Laurent , Gabriel Pereyra , Philémon Brakel , Ying Zhang , Yoshua Bengio

Many machine learning approaches are characterized by information constraints on how they interact with the training data. These include memory and sequential access constraints (e.g. fast first-order methods to solve stochastic…

机器学习 · 计算机科学 2014-10-29 Ohad Shamir

The best performing Binary Neural Networks (BNNs) are usually attained using Adam optimization and its multi-step training variants. However, to the best of our knowledge, few studies explore the fundamental reasons why Adam is superior to…

机器学习 · 计算机科学 2021-06-22 Zechun Liu , Zhiqiang Shen , Shichao Li , Koen Helwegen , Dong Huang , Kwang-Ting Cheng

The success stories from deep learning models increase every day spanning different tasks from image classification to natural language understanding. With the increasing popularity of these models, scientists spend more and more time…

计算机视觉与模式识别 · 计算机科学 2020-09-29 Ethem F. Can , Aysu Ezen-Can

Deep learning techniques play an increasingly important role in industrial and research environments due to their outstanding results. However, the large number of hyper-parameters to be set may lead to errors if they are set manually. The…

机器学习 · 计算机科学 2020-06-04 Michele Fraccaroli , Evelina Lamma , Fabrizio Riguzzi

Training Deep Neural Networks is complicated by the fact that the distribution of each layer's inputs changes during training, as the parameters of the previous layers change. This slows down the training by requiring lower learning rates…

机器学习 · 计算机科学 2015-03-03 Sergey Ioffe , Christian Szegedy