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Given a large set $U$ where each item $a\in U$ has weight $w(a)$, we want to estimate the total weight $W=\sum_{a\in U} w(a)$ to within factor of $1\pm\varepsilon$ with some constant probability $>1/2$. Since $n=|U|$ is large, we want to do…

Data Structures and Algorithms · Computer Science 2021-10-29 Lorenzo Beretta , Jakub Tětek

This paper uses a minimum divergence framework to introduce a new way of calculating model weights that can be used to average probabilistic predictions from statistical and machine learning models. The method is general and can be applied…

Machine Learning · Statistics 2026-04-28 Olav Benjamin Vassend

Recent work on weighted model counting has been very successfully applied to the problem of probabilistic inference in Bayesian networks. The probability distribution is encoded into a Boolean normal form and compiled to a target language,…

Artificial Intelligence · Computer Science 2016-10-19 Giso H. Dal , Peter J. F. Lucas

Bilinear matrix inequality (BMI) problems in system and control designs are investigated in this paper. A solution method of reduction of variables (MRVs) is proposed. This method consists of a principle of variable classification, a…

Systems and Control · Electrical Eng. & Systems 2026-01-16 Wei-Yu Chiu

Bilevel optimization is a hierarchical framework where an upper-level optimization problem is constrained by a lower-level problem, commonly used in machine learning applications such as hyperparameter optimization. Existing bilevel…

Optimization and Control · Mathematics 2026-03-03 Yuman Wu , Xiaochuan Gong , Jie Hao , Mingrui Liu

Model Weight Averaging (MWA) is a technique that seeks to enhance model's performance by averaging the weights of multiple trained models. This paper first empirically finds that 1) the vanilla MWA can benefit the class-imbalanced learning,…

Computer Vision and Pattern Recognition · Computer Science 2024-12-05 Zitong Huang , Ze Chen , Bowen Dong , Chaoqi Liang , Erjin Zhou , Wangmeng Zuo

This paper addresses the distributed stochastic minimax optimization problem subject to stochastic constraints. We propose a novel first-order Softmax-Weighted Switching Gradient method tailored for federated learning. Under full client…

Machine Learning · Computer Science 2026-03-09 Zhankun Luo , Antesh Upadhyay , Sang Bin Moon , Abolfazl Hashemi

While normalization techniques are widely used in deep learning, their theoretical understanding remains relatively limited. In this work, we establish the benefits of (generalized) weight normalization (WN) applied to the overparameterized…

Machine Learning · Computer Science 2025-10-02 Yudong Wei , Liang Zhang , Bingcong Li , Niao He

Many-objective evolutionary algorithms (MOEAs), especially the decomposition-based MOEAs, have attracted wide attention in recent years. Recent studies show that a well designed combination of the decomposition method and the domination…

Neural and Evolutionary Computing · Computer Science 2019-09-05 Yingyu Zhang , Yuanzhen Li , Quan-Ke Panb , P. N. Suganthan

The growing availability of large health databases has expanded the use of observational studies for comparative effectiveness research. Unlike randomized trials, observational studies must adjust for systematic differences in patient…

Methodology · Statistics 2026-01-21 Haidong Lu , Fan Li , Laine E. Thomas , Fan Li

Regularization is a set of techniques that are used to improve the generalization ability of deep neural networks. In this paper, we introduce weight compander (WC), a novel effective method to improve generalization by reparameterizing…

Machine Learning · Computer Science 2023-06-30 Rinor Cakaj , Jens Mehnert , Bin Yang

Motivation: Gene selection has become a common task in most gene expression studies. The objective of such research is often to identify the smallest possible set of genes that can still achieve good predictive performance. The problem of…

This work aims at solving the problems with intractable sparsity-inducing norms that are often encountered in various machine learning tasks, such as multi-task learning, subspace clustering, feature selection, robust principal component…

Machine Learning · Computer Science 2019-07-03 Feiping Nie , Zhanxuan Hu , Xiaoqian Wang , Rong Wang , Xuelong Li , Heng Huang

We introduce a novel multivariate approach for solving weighted parameterized problems. In our model, given an instance of size $n$ of a minimization (maximization) problem, and a parameter $W \geq 1$, we seek a solution of weight at most…

Data Structures and Algorithms · Computer Science 2015-02-24 Hadas Shachnai , Meirav Zehavi

As one of the most commonly seen data challenges, missing data, in particular, multiple, non-monotone missing patterns, complicates estimation and inference due to the fact that missingness mechanisms are often not missing at random, and…

Methodology · Statistics 2025-04-21 Jianing Dong , Raymond K. W. Wong , Kwun Chuen Gary Chan

Machine learning models trained on real-world data may inadvertently make biased predictions that negatively impact marginalized communities. Reweighting, which assigns a weight to each data point used during model training, can mitigate…

Machine Learning · Computer Science 2026-03-20 Anil K. Saini , Jose Guadalupe Hernandez , Emily F. Wong , Debanshi Misra , Tiffani J. Bright , Jason H. Moore

A distribution shift between the training and test data can severely harm performance of machine learning models. Importance weighting addresses this issue by assigning different weights to data points during training. We argue that…

Machine Learning · Statistics 2025-11-17 Floris Holstege , Bram Wouters , Noud van Giersbergen , Cees Diks

Covariate-shift generalization, a typical case in out-of-distribution (OOD) generalization, requires a good performance on the unknown test distribution, which varies from the accessible training distribution in the form of covariate shift.…

Machine Learning · Computer Science 2023-10-18 Renzhe Xu , Xingxuan Zhang , Zheyan Shen , Tong Zhang , Peng Cui

In this paper we propose a method for the approximation of high-dimensional functions over finite intervals with respect to complete orthonormal systems of polynomials. An important tool for this is the multivariate classical analysis of…

Numerical Analysis · Mathematics 2022-01-31 Daniel Potts , Michael Schmischke

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
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