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Optimization problems with the objective function in the form of weighted sum and linear equality constraints are considered. Given that the number of local cost functions can be large as well as the number of constraints, a stochastic…

Optimization and Control · Mathematics 2026-05-26 Nataša Krejić , Nataša Krklec Jerinkić , Sanja Rapajić , Luka Rutešić

Modern optimizers such as AdamW, equipped with momentum and adaptive learning rate, are designed to escape local minima and explore the vast parameter space. This exploration is beneficial for finding good loss basins when training from…

Machine Learning · Computer Science 2024-11-05 Junjiao Tian , Chengyue Huang , Zsolt Kira

Retrieval augmented generation (RAG) pipelines are commonly used in tasks such as question-answering (QA), relying on retrieving relevant documents from a vector store computed using a pretrained embedding model. However, if the retrieved…

Computation and Language · Computer Science 2024-10-18 Ambuje Gupta , Mrinal Rawat , Andreas Stolcke , Roberto Pieraccini

We propose a new ensemble prediction method, Random Subset Averaging (RSA), tailored for settings with many covariates, particularly in the presence of strong correlations. RSA constructs candidate models via binomial random subset strategy…

Methodology · Statistics 2025-12-30 Wenhao Cui , Jie Hu

The deployment of large language models (LLMs) is often constrained by their substantial computational and memory demands. While structured pruning presents a viable approach by eliminating entire network components, existing methods suffer…

Machine Learning · Computer Science 2025-05-07 Hanyu Hu , Xiaoming Yuan

Pre-training followed by fine-tuning is widely adopted among practitioners. The performance can be improved by "model soups"~\cite{wortsman2022model} via exploring various hyperparameter configurations.The Learned-Soup, a variant of model…

Machine Learning · Computer Science 2024-07-24 Tao Li , Weisen Jiang , Fanghui Liu , Xiaolin Huang , James T. Kwok

Presently the most successful approaches to semi-supervised learning are based on consistency regularization, whereby a model is trained to be robust to small perturbations of its inputs and parameters. To understand consistency…

Machine Learning · Computer Science 2019-02-22 Ben Athiwaratkun , Marc Finzi , Pavel Izmailov , Andrew Gordon Wilson

The stochastic simulation algorithm (SSA) is widely used to perform exact forward simulation of discrete stochastic processes in biology. However, the computational cost, driven by sequential event-by-event sampling across large ensembles,…

Quantitative Methods · Quantitative Biology 2026-05-04 Tom Kimpson , Mark B. Flegg , Jennifer A. Flegg

Ensemble methods combine the predictions of multiple models to improve performance, but they require significantly higher computation costs at inference time. To avoid these costs, multiple neural networks can be combined into one by…

Machine Learning · Computer Science 2024-05-07 Alexia Jolicoeur-Martineau , Emy Gervais , Kilian Fatras , Yan Zhang , Simon Lacoste-Julien

We study uncertainty quantification for contextual stochastic optimization, focusing on weighted sample average approximation (wSAA), which uses machine-learned relevance weights based on covariates. Although wSAA is widely used for…

Optimization and Control · Mathematics 2025-10-14 Yanyuan Wang , Xiaowei Zhang

The scarcity of annotated surgical data poses a significant challenge for developing deep learning systems in computer-assisted interventions. While diffusion models can synthesize realistic images, they often suffer from data memorization,…

Computer Vision and Pattern Recognition · Computer Science 2025-09-24 Danush Kumar Venkatesh , Stefanie Speidel

Stochastic gradient decent~(SGD) and its variants, including some accelerated variants, have become popular for training in machine learning. However, in all existing SGD and its variants, the sample size in each iteration~(epoch) of…

Machine Learning · Statistics 2019-09-18 Shen-Yi Zhao , Hao Gao , Wu-Jun Li

Averaging neural network weights sampled by a backbone stochastic gradient descent (SGD) is a simple yet effective approach to assist the backbone SGD in finding better optima, in terms of generalization. From a statistical perspective,…

Machine Learning · Computer Science 2022-09-20 Hao Guo , Jiyong Jin , Bin Liu

Sparsely-activated Mixture-of-Experts (SMoE) models offer efficient pre-training and low latency but their large parameter counts create significant memory overhead, motivating research into expert compression. Contrary to recent findings…

Machine Learning · Computer Science 2026-05-14 Mike Lasby , Ivan Lazarevich , Nish Sinnadurai , Sean Lie , Yani Ioannou , Vithursan Thangarasa

Pruning aims to accelerate and compress models by removing redundant parameters, identified by specifically designed importance scores which are usually imperfect. This removal is irreversible, often leading to subpar performance in pruned…

Machine Learning · Computer Science 2025-02-07 Xinglong Sun , Maying Shen , Hongxu Yin , Lei Mao , Pavlo Molchanov , Jose M. Alvarez

Traditionally, stochastic approximation schemes for SVIs have relied on strong monotonicity and Lipschitzian properties of the underlying map. In contrast, we consider monotone stochastic variational inequality (SVI) problems where the…

Optimization and Control · Mathematics 2016-01-06 Farzad Yousefian , Angelia Nedić , Uday V. Shanbhag

In computational science workflows, it is often the case that 1) objective functions for optimization involve multiple simulation outputs, and 2) those simulations can be performed (at least partially) in parallel. In this work, we…

Optimization and Control · Mathematics 2026-05-28 Matt Menickelly

This paper concerns a high-dimensional stochastic programming problem of minimizing a function of expected cost with a matrix argument. To this problem, one of the most widely applied solution paradigms is the sample average approximation…

Optimization and Control · Mathematics 2019-07-22 Hongcheng Liu , Charles Hernandez , Hung Yi Lee

Despite the simplicity, stochastic gradient descent (SGD)-like algorithms are successful in training deep neural networks (DNNs). Among various attempts to improve SGD, weight averaging (WA), which averages the weights of multiple models,…

Machine Learning · Computer Science 2023-04-25 Xiaozhe Gu , Zixun Zhang , Yuncheng Jiang , Tao Luo , Ruimao Zhang , Shuguang Cui , Zhen Li

Linear combination is a potent data fusion method in information retrieval tasks, thanks to its ability to adjust weights for diverse scenarios. However, achieving optimal weight training has traditionally required manual relevance…

Information Retrieval · Computer Science 2023-09-25 Qiuyu Xu , Yidong Huang , Shengli Wu , Adrian Moore