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This paper considers the decentralized composite optimization problem. We propose a novel decentralized variance-reduction proximal-gradient algorithmic framework, called PMGT-VR, which is based on a combination of several techniques…

最优化与控制 · 数学 2021-06-08 Haishan Ye , Wei Xiong , Tong Zhang

In this work, we investigate the large-scale mean-field variational inference (MFVI) problem from a mini-batch primal-dual perspective. By reformulating MFVI as a constrained finite-sum problem, we develop a novel primal-dual algorithm…

机器学习 · 统计学 2026-02-11 Jinhua Lyu , Tianmin Yu , Ying Ma , Naichen Shi

We describe a computationally efficient, stochastic graph-regularization technique that can be utilized for the semi-supervised training of deep neural networks in a parallel or distributed setting. We utilize a technique, first described…

机器学习 · 统计学 2018-05-31 Sunil Thulasidasan , Jeffrey Bilmes , Garrett Kenyon

The stochastic proximal point (SPP) methods have gained recent attention for stochastic optimization, with strong convergence guarantees and superior robustness to the classic stochastic gradient descent (SGD) methods showcased at little to…

机器学习 · 统计学 2023-01-10 Xiao-Tong Yuan , Ping Li

We propose a novel semi-supervised structured output prediction method based on local linear regression in this paper. The existing semi-supervise structured output prediction methods learn a global predictor for all the data points in a…

机器学习 · 计算机科学 2016-08-17 Ru-Ze Liang , Wei Xie , Weizhi Li , Xin Du , Jim Jing-Yan Wang , Jingbin Wang

We consider the optimization problem of minimizing the sum-of-nonconvex function, i.e., a convex function that is the average of nonconvex components. The existing stochastic algorithms for such a problem only focus on a single machine and…

最优化与控制 · 数学 2024-02-06 Zhuanghua Liu , Bryan Kian Hsiang Low

Our goal is to improve variance reducing stochastic methods through better control variates. We first propose a modification of SVRG which uses the Hessian to track gradients over time, rather than to recondition, increasing the correlation…

最优化与控制 · 数学 2018-04-03 Robert M. Gower , Nicolas Le Roux , Francis Bach

Stochastic Gradient Descent (SGD) has proven to be remarkably effective in optimizing deep neural networks that employ ever-larger numbers of parameters. Yet, improving the efficiency of large-scale optimization remains a vital and highly…

机器学习 · 计算机科学 2020-11-11 Frithjof Gressmann , Zach Eaton-Rosen , Carlo Luschi

Recovery of the sparsity pattern (or support) of an unknown sparse vector from a small number of noisy linear measurements is an important problem in compressed sensing. In this paper, the high-dimensional setting is considered. It is shown…

信息论 · 计算机科学 2013-02-06 Galen Reeves , Michael Gastpar

Sparse regression and classification estimators that respect group structures have application to an assortment of statistical and machine learning problems, from multitask learning to sparse additive modeling to hierarchical selection.…

统计方法学 · 统计学 2024-03-11 Ryan Thompson , Farshid Vahid

Huge scale machine learning problems are nowadays tackled by distributed optimization algorithms, i.e. algorithms that leverage the compute power of many devices for training. The communication overhead is a key bottleneck that hinders…

机器学习 · 计算机科学 2018-11-30 Sebastian U. Stich , Jean-Baptiste Cordonnier , Martin Jaggi

We study stochastic convex optimization under infinite noise variance. Specifically, when the stochastic gradient is unbiased and has uniformly bounded $(1+\kappa)$-th moment, for some $\kappa \in (0,1]$, we quantify the convergence rate of…

In modern scientific applications, large volumes of covariate data are readily available, while outcome labels are costly, sparse, and often subject to distribution shift. This asymmetry has spurred interest in semi-supervised (SS)…

统计理论 · 数学 2026-05-12 Lorenzo Testa , Qi Xu , Jing Lei , Kathryn Roeder

(Mini-batch) Stochastic Gradient Descent is a popular optimization method which has been applied to many machine learning applications. But a rather high variance introduced by the stochastic gradient in each step may slow down the…

机器学习 · 计算机科学 2018-10-09 Jingchang Liu , Linli Xu

Many applications require statistically valid inference across many related tasks, while using only a handful of high-quality labels per hypothesis. In AI evaluation, these tasks may correspond to model behaviors across prompts, subgroups,…

机器学习 · 统计学 2026-05-29 Nicolas Emmenegger , Ellery Stahler , Chara Podimata

With fully leveraging the value of unlabeled data, semi-supervised medical image segmentation algorithms significantly reduces the limitation of limited labeled data, achieving a significant improvement in accuracy. However, the…

计算机视觉与模式识别 · 计算机科学 2025-03-18 Jialu Zhou , Dianxi Shi , Shaowu Yang , Chunping Qiu , Luoxi Jing , Mengzhu Wang

For approximating a target distribution given only its unnormalized log-density, stochastic gradient-based variational inference (VI) algorithms are a popular approach. For example, Wasserstein VI (WVI) and black-box VI (BBVI) perform…

机器学习 · 统计学 2026-05-20 Kyurae Kim , Qiang Fu , Yi-An Ma , Jacob R. Gardner , Trevor Campbell

For semi-supervised techniques to be applied safely in practice we at least want methods to outperform their supervised counterparts. We study this question for classification using the well-known quadratic surrogate loss function. Using a…

机器学习 · 统计学 2016-02-26 Jesse H. Krijthe , Marco Loog

Semi-implicit variational inference (SIVI) is introduced to expand the commonly used analytic variational distribution family, by mixing the variational parameter with a flexible distribution. This mixing distribution can assume any density…

机器学习 · 统计学 2018-05-30 Mingzhang Yin , Mingyuan Zhou

Semi-supervised Domain Generalization (SSDG) addresses the challenge of generalizing to unseen target domains with limited labeled data. Existing SSDG methods highlight the importance of achieving high pseudo-labeling (PL) accuracy and…

计算机视觉与模式识别 · 计算机科学 2026-01-21 Muditha Fernando , Kajhanan Kailainathan , Krishnakanth Nagaratnam , Isuranga Udaravi Bandara Senavirathne , Ranga Rodrigo