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The choice of batch-size in a stochastic optimization algorithm plays a substantial role for both optimization and generalization. Increasing the batch-size used typically improves optimization but degrades generalization. To address the…

机器学习 · 计算机科学 2020-03-03 Yeming Wen , Kevin Luk , Maxime Gazeau , Guodong Zhang , Harris Chan , Jimmy Ba

This paper presents a novel machine-learning framework for reconstructing low-order gust-encounter flow field and lift coefficients from sparse, noisy surface pressure measurements. Our study thoroughly investigates the time-varying…

机器学习 · 计算机科学 2025-06-25 Hanieh Mousavi , Jeff D. Eldredge

Current modularity-based community detection algorithms attempt to find cluster memberships that maximize modularity within a fixed graph topology. Diverging from this conventional approach, our work introduces a novel strategy that employs…

数据分析、统计与概率 · 物理学 2024-02-27 Yongyu Wang , Shiqi Hao , Xiaoyang Wang , Xiaotian Zhuang

Motivated by sequential budgeted allocation problems, we investigate online matching problems where connections between vertices are not i.i.d., but they have fixed degree distributions -- the so-called configuration model. We estimate the…

数据结构与算法 · 计算机科学 2021-07-05 Nathan Noiry , Flore Sentenac , Vianney Perchet

We introduce a framework to accelerate the convergence of gradient-based methods with online learning. The framework learns to scale the gradient at each iteration through an online learning algorithm and provably accelerates gradient-based…

最优化与控制 · 数学 2024-11-07 Wenzhi Gao , Ya-Chi Chu , Yinyu Ye , Madeleine Udell

In this paper, we propose a novel approach to automatically determine the batch size in stochastic gradient descent methods. The choice of the batch size induces a trade-off between the accuracy of the gradient estimate and the cost in…

机器学习 · 计算机科学 2017-12-12 Matteo Pirotta , Marcello Restelli

A wide range of optimization problems arising in machine learning can be solved by gradient descent algorithms, and a central question in this area is how to efficiently compress a large-scale dataset so as to reduce the computational…

机器学习 · 计算机科学 2022-10-11 Jiawei Huang , Ruomin Huang , Wenjie Liu , Nikolaos M. Freris , Hu Ding

Phase retrieval (PR) is a popular research topic in signal processing and machine learning. However, its performance degrades significantly when the measurements are corrupted by noise or outliers. To address this limitation, we propose a…

最优化与控制 · 数学 2025-05-30 Jun Fan , Ailing Yan , Xianchao Xiu , Wanquan Liu

Training neural network models with discrete (categorical or structured) latent variables can be computationally challenging, due to the need for marginalization over large or combinatorial sets. To circumvent this issue, one typically…

机器学习 · 计算机科学 2020-12-29 Gonçalo M. Correia , Vlad Niculae , Wilker Aziz , André F. T. Martins

Minimizing the empirical risk is a popular training strategy, but for learning tasks where the data may be noisy or heavy-tailed, one may require many observations in order to generalize well. To achieve better performance under less…

机器学习 · 统计学 2018-10-16 Matthew J. Holland , Kazushi Ikeda

We propose a metric for evaluating the generalization ability of deep neural networks trained with mini-batch gradient descent. Our metric, called gradient disparity, is the $\ell_2$ norm distance between the gradient vectors of two…

机器学习 · 计算机科学 2021-07-15 Mahsa Forouzesh , Patrick Thiran

Pruning neural networks has proven to be a successful approach to increase the efficiency and reduce the memory storage of deep learning models without compromising performance. Previous literature has shown that it is possible to achieve a…

机器学习 · 计算机科学 2024-08-12 Joaquin Alvarez

Machine learning, especially deep neural networks, has been rapidly developed in fields including computer vision, speech recognition and reinforcement learning. Although Mini-batch SGD is one of the most popular stochastic optimization…

机器学习 · 计算机科学 2019-03-12 Xinyu Peng , Li Li , Fei-Yue Wang

In decentralized optimization over networks, each node in the network has a portion of the global objective function and the aim is to collectively optimize this function. Gradient tracking methods have emerged as a popular alternative for…

最优化与控制 · 数学 2023-12-13 Albert S. Berahas , Raghu Bollapragada , Shagun Gupta

Range Minimum Query (RMQ) is an important building brick of many compressed data structures and string matching algorithms. Although this problem is essentially solved in theory, with sophisticated data structures allowing for constant time…

数据结构与算法 · 计算机科学 2017-07-12 Szymon Grabowski , Tomasz Kowalski

In this paper, we consider a recursive estimation problem for linear regression where the signal to be estimated admits a sparse representation and measurement samples are only sequentially available. We propose a convergent parallel…

最优化与控制 · 数学 2017-12-12 Yang Yang , Mengyi Zhang , Marius Pesavento , Daniel P. Palomar

When dealing with datasets containing a billion instances or with simulations that require a supercomputer to execute, computational resources become part of the equation. We can improve the efficiency of learning and inference by…

机器学习 · 计算机科学 2014-03-06 Max Welling

We introduce Gradient Agreement Filtering (GAF) to improve on gradient averaging in distributed deep learning optimization. Traditional distributed data-parallel stochastic gradient descent involves averaging gradients of microbatches to…

机器学习 · 计算机科学 2024-12-31 Francois Chaubard , Duncan Eddy , Mykel J. Kochenderfer

The performance and efficiency of distributed training of Deep Neural Networks highly depend on the performance of gradient averaging among all participating nodes, which is bounded by the communication between nodes. There are two major…

分布式、并行与集群计算 · 计算机科学 2021-02-10 Linnan Wang , Wei Wu , Junyu Zhang , Hang Liu , George Bosilca , Maurice Herlihy , Rodrigo Fonseca

We propose and investigate new complementary methodologies for estimating predictive variance networks in regression neural networks. We derive a locally aware mini-batching scheme that result in sparse robust gradients, and show how to…

机器学习 · 统计学 2019-11-05 Nicki S. Detlefsen , Martin Jørgensen , Søren Hauberg