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We make distributed stochastic gradient descent faster by exchanging sparse updates instead of dense updates. Gradient updates are positively skewed as most updates are near zero, so we map the 99% smallest updates (by absolute value) to…

计算与语言 · 计算机科学 2021-11-30 Alham Fikri Aji , Kenneth Heafield

The latent block model is used to simultaneously rank the rows and columns of a matrix to reveal a block structure. The algorithms used for estimation are often time consuming. However, recent work shows that the log-likelihood ratios are…

统计理论 · 数学 2023-03-10 Vincent Brault , Antoine Channarond

With increasing scale in model and dataset size, the training of deep neural networks becomes a massive computational burden. One approach to speed up the training process is Selective Backprop. For this approach, we perform a forward pass…

机器学习 · 计算机科学 2023-12-11 Lukas Balles , Cedric Archambeau , Giovanni Zappella

Training a sparse neural network from scratch requires optimizing connections at the same time as the weights themselves. Typically, the weights are redistributed after a predefined number of weight updates, removing a fraction of the…

We explore an explicit link between stochastic gradient descent using common batching strategies and splitting methods for ordinary differential equations. From this perspective, we introduce a new minibatching strategy (called Symmetric…

最优化与控制 · 数学 2025-04-08 Luke Shaw , Peter A. Whalley

Predicting how a dynamical unit evolves over time - how an individual ages, an epidemic spreads, or a physical system degrades - typically requires dense longitudinal tracking. When only extremely sparse or entirely cross-sectional data is…

机器学习 · 计算机科学 2026-05-25 Christian Lagemann , Kai Lagemann , Steven L. Brunton , Sach Mukherjee

Datasets for training crowd counting deep networks are typically heavy-tailed in count distribution and exhibit discontinuities across the count range. As a result, the de facto statistical measures (MSE, MAE) exhibit large variance and…

计算机视觉与模式识别 · 计算机科学 2021-08-20 Sravya Vardhani Shivapuja , Mansi Pradeep Khamkar , Divij Bajaj , Ganesh Ramakrishnan , Ravi Kiran Sarvadevabhatla

This paper focuses on the development of novel greedy techniques for distributed learning under sparsity constraints. Greedy techniques have widely been used in centralized systems due to their low computational requirements and at the same…

信息论 · 计算机科学 2015-06-23 Symeon Chouvardas , Gerasimos Mileounis , Nicholas Kalouptsidis , Sergios Theodoridis

With the rapid development of data collection and aggregation technologies in many scientific disciplines, it is becoming increasingly ubiquitous to conduct large-scale or online regression to analyze real-world data and unveil real-world…

统计方法学 · 统计学 2021-03-22 Jinfeng Xu , Zhiliang Ying , Na Zhao

The automated construction of coarse-grained models represents a pivotal component in computer simulation of physical systems and is a key enabler in various analysis and design tasks related to uncertainty quantification. Pertinent methods…

机器学习 · 统计学 2019-09-11 Constantin Grigo , Phaedon-Stelios Koutsourelakis

In modern deep learning, algorithmic choices (such as width, depth, and learning rate) are known to modulate nuanced resource tradeoffs. This work investigates how these complexities necessarily arise for feature learning in the presence of…

机器学习 · 计算机科学 2023-10-31 Benjamin L. Edelman , Surbhi Goel , Sham Kakade , Eran Malach , Cyril Zhang

Projected Gradient Descent (PGD) is a strong and widely used first-order adversarial attack, yet its computational cost scales poorly, as all training samples undergo identical iterative inner-loop optimization despite contributing…

机器学习 · 计算机科学 2025-12-29 Youran Ye , Dejin Wang , Ajinkya Bhandare

Matrix computations are a fundamental building-block of edge computing systems, with a major recent uptick in demand due to their use in AI/ML training and inference procedures. Existing approaches for distributing matrix computations…

分布式、并行与集群计算 · 计算机科学 2024-08-12 Anindya Bijoy Das , Aditya Ramamoorthy , David J. Love , Christopher G. Brinton

Traditional supervised learning requires ground truth labels for the training data, whose collection can be difficult in many cases. Recently, crowdsourcing has established itself as an efficient labeling solution through resorting to…

机器学习 · 计算机科学 2021-07-13 Ye Shi , Shao-Yuan Li , Sheng-Jun Huang

A major hurdle in machine learning is scalability to massive datasets. Approaches to overcome this hurdle include compression of the data matrix and distributing the computations. \textit{Leverage score sampling} provides a compressed…

信息论 · 计算机科学 2020-09-16 Neophytos Charalambides , Mert Pilanci , Alfred O. Hero

Theoretical results show that Bayesian methods can achieve lower bounds on regret for online logistic regression. In practice, however, such techniques may not be feasible especially for very large feature sets. Various approximations that,…

机器学习 · 计算机科学 2021-01-29 Gil I. Shamir , Wojciech Szpankowski

In training neural networks, it is common practice to use partial gradients computed over batches, mostly very small subsets of the training set. This approach is motivated by the argument that such a partial gradient is close to the true…

机器学习 · 计算机科学 2024-11-25 Jan Spörer , Bernhard Bermeitinger , Tomas Hrycej , Niklas Limacher , Siegfried Handschuh

Sparsity in the structure of Neural Networks can lead to less energy consumption, less memory usage, faster computation times on convenient hardware, and automated machine learning. If sparsity gives rise to certain kinds of structure, it…

机器学习 · 计算机科学 2021-07-28 Julian Stier , Harshil Darji , Michael Granitzer

We consider chance-constrained problems with discrete random distribution. We aim for problems with a large number of scenarios. We propose a novel method based on the stochastic gradient descent method which performs updates of the…

最优化与控制 · 数学 2019-05-28 Lukáš Adam , Martin Branda

Despite impressive performance, deep neural networks require significant memory and computation costs, prohibiting their application in resource-constrained scenarios. Sparse training is one of the most common techniques to reduce these…

机器学习 · 计算机科学 2023-12-06 Bowen Lei , Dongkuan Xu , Ruqi Zhang , Shuren He , Bani K. Mallick