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An Integral Equation (IE) based field solver to compute the scattered fields from spatially dispersive metasurfaces is proposed and numerically confirmed using various examples involving physical unit cells. The work is a continuation of…

应用物理 · 物理学 2021-09-21 Tom J. Smy , João G. Nizer Rahmeier , Jordan Dugan , Shulabh Gupta

Structured non-convex learning problems, for which critical points have favorable statistical properties, arise frequently in statistical machine learning. Algorithmic convergence and statistical estimation rates are well-understood for…

机器学习 · 统计学 2020-07-31 Lu Yu , Krishnakumar Balasubramanian , Stanislav Volgushev , Murat A. Erdogdu

In distributed and federated learning algorithms, communication overhead is often reduced by performing multiple local updates between communication rounds. However, due to data heterogeneity across nodes and the local gradient noise within…

机器学习 · 计算机科学 2025-12-02 Yan Huang , Jinming Xu , Jiming Chen , Karl Henrik Johansson

Consensus-based decentralized stochastic gradient descent (D-SGD) is a widely adopted algorithm for decentralized training of machine learning models across networked agents. A crucial part of D-SGD is the consensus-based model averaging,…

信息论 · 计算机科学 2025-02-12 Daniel Pérez Herrera , Zheng Chen , Erik G. Larsson

Iterative distributed optimization algorithms involve multiple agents that communicate with each other, over time, in order to minimize/maximize a global objective. In the presence of unreliable communication networks, the…

最优化与控制 · 数学 2022-01-28 Adrian Redder , Arunselvan Ramaswamy , Holger Karl

We introduce data structures for solving robust regression through stochastic gradient descent (SGD) by sampling gradients with probability proportional to their norm, i.e., importance sampling. Although SGD is widely used for large scale…

机器学习 · 计算机科学 2022-07-19 Sepideh Mahabadi , David P. Woodruff , Samson Zhou

Local stochastic gradient descent (Local-SGD), also referred to as federated averaging, is an approach to distributed optimization where each device performs more than one SGD update per communication. This work presents an empirical study…

This paper addresses stochastic optimization in a streaming setting with time-dependent and biased gradient estimates. We analyze several first-order methods, including Stochastic Gradient Descent (SGD), mini-batch SGD, and time-varying…

机器学习 · 计算机科学 2023-07-20 Antoine Godichon-Baggioni , Nicklas Werge , Olivier Wintenberger

Computing expected information gain (EIG) from prior to posterior (equivalently, mutual information between candidate observations and model parameters or other quantities of interest) is a fundamental challenge in Bayesian optimal…

统计方法学 · 统计学 2026-01-30 Fengyi Li , Ricardo Baptista , Youssef Marzouk

The ubiquity of social platforms has reshaped the way information, behaviors, and advertisements diffuse across networks, with influence propagation often initiated by a small set of ``seed'' users. While much of the literature emphasizes…

社会与信息网络 · 计算机科学 2026-05-28 Fangzhu Shen , Amir Gilad , Sudeepa Roy

Classical stochastic gradient methods are well suited for minimizing expected-value objective functions. However, they do not apply to the minimization of a nonlinear function involving expected values or a composition of two expected-value…

机器学习 · 统计学 2014-11-17 Mengdi Wang , Ethan X. Fang , Han Liu

Estimating individual treatment effects (ITE) from observational data is a critical task across various domains. However, many existing works on ITE estimation overlook the influence of hidden confounders, which remain unobserved at the…

机器学习 · 计算机科学 2024-12-06 Binbin Hu , Zhicheng An , Zhengwei Wu , Ke Tu , Ziqi Liu , Zhiqiang Zhang , Jun Zhou , Yufei Feng , Jiawei Chen

This study investigates the dynamics of Score-based Generative Models (SGMs) by treating the score estimation error as a stochastic source driving the Fokker-Planck equation. Departing from particle-centric SDE analyses, we employ an SPDE…

机器学习 · 计算机科学 2026-02-10 Junsu Seo

This paper studies the generalization performance of iterates obtained by Gradient Descent (GD), Stochastic Gradient Descent (SGD) and their proximal variants in high-dimensional robust regression problems. The number of features is…

统计理论 · 数学 2024-11-05 Kai Tan , Pierre C. Bellec

A critical aspect of analyzing and improving modern machine learning systems lies in understanding how individual training examples influence a model's predictive behavior. Estimating this influence enables critical applications, including…

机器学习 · 计算机科学 2025-10-15 Narine Kokhlikyan , Kamalika Chaudhuri , Saeed Mahloujifar

Stochastic Gradient Descent (SGD) is the key learning algorithm for many machine learning tasks. Because of its computational costs, there is a growing interest in accelerating SGD on HPC resources like GPU clusters. However, the…

机器学习 · 计算机科学 2021-01-20 Peng Jiang , Gagan Agrawal

Research on Knowledge Tracing (KT) models traditionally focuses on improving predictive accuracy. However, responsible real-world deployment requires models to know when to defer uncertain predictions to a human teacher. We introduce an…

机器学习 · 计算机科学 2026-05-04 Joshua Mitton , Prarthana Bhattacharyya , Ralph Abboud , Simon Woodhead

Data aggregation, also known as meta analysis, is widely used to combine knowledge on parameters shared in common (e.g., average treatment effect) between multiple studies. In this paper, we introduce an attractive data aggregation scheme…

统计方法学 · 统计学 2023-05-10 Snigdha Panigrahi , Jingshen Wang , Xuming He

Stochastic gradient descent (SGD) is the workhorse of large-scale learning, yet classical analyses rely on assumptions that can be either too strong (bounded variance) or too coarse (uniform noise). The expected smoothness (ES) condition…

机器学习 · 计算机科学 2025-10-28 Yuta Kawamoto , Hideaki Iiduka

Estimating how individual input variables affect the output of a black-box model is a central task in explainable machine learning. However, existing methods suffer from two key limitations: sensitivity to out-of-distribution (OOD)…

机器学习 · 统计学 2026-04-23 Chih-Yu Chang , Ming-Chung Chang
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