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Principal component analysis (PCA) is arguably the most widely used approach for large-dimensional factor analysis. While it is effective when the factors are sufficiently strong, it can be inconsistent when the factors are weak and/or the…

统计方法学 · 统计学 2025-08-22 Zhongyuan Lyu , Ming Yuan

Agglomerative hierarchical clustering based on Ordered Weighted Averaging (OWA) operators not only generalises the single, complete, and average linkages, but also includes intercluster distances based on a few nearest or farthest…

机器学习 · 统计学 2023-10-27 Marek Gagolewski , Anna Cena , Simon James , Gleb Beliakov

Estimating causal effects from observational data is challenging due to selection bias, which leads to imbalanced covariate distributions across treatment groups. Propensity score-based weighting methods are widely used to address this…

机器学习 · 计算机科学 2025-08-08 Ahmad Saeed Khan , Erik Schaffernicht , Johannes Andreas Stork

Optimization decomposition methods are a fundamental tool to develop distributed solution algorithms for large scale optimization problems arising in fields such as machine learning and optimal control. In this paper, we present an…

最优化与控制 · 数学 2024-03-12 Tyler Hanks , Matthew Klawonn , Evan Patterson , Matthew Hale , James Fairbanks

In this study, we consider an optimization problem with uncertainty dependent on decision variables, which has recently attracted attention due to its importance in machine learning and pricing applications. In this problem, the gradient of…

最优化与控制 · 数学 2024-12-31 Yuya Hikima , Akiko Takeda

Weight-ensembles are formed when the parameters of multiple neural networks are directly averaged into a single model. They have demonstrated generalization capability in-distribution (ID) and out-of-distribution (OOD) which is not…

机器学习 · 计算机科学 2024-09-05 Alex Rojas , David Alvarez-Melis

Machine learning models trained on imbalanced datasets often exhibit intersectional biases-systematic errors arising from the interaction of multiple attributes such as object class and environmental conditions. This paper presents a…

计算机视觉与模式识别 · 计算机科学 2025-10-21 Farjana Yesmin

We consider the problem of comparing several samples of stochastic processes with respect to their second-order structure, and describing the main modes of variation in this second order structure, if present. These tasks can be seen as an…

统计方法学 · 统计学 2022-12-12 Valentina Masarotto , Victor M. Panaretos , Yoav Zemel

The level dependent Choquet integral has been proposed to handle decision making problems in which the importance and the interaction of criteria may depend on the level of the alternatives' evaluations. This integral is based on a level…

最优化与控制 · 数学 2019-05-21 Sally Giuseppe Arcidiacono , Salvatore Corrente , Salvatore Greco

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…

机器学习 · 计算机科学 2019-07-03 Feiping Nie , Zhanxuan Hu , Xiaoqian Wang , Rong Wang , Xuelong Li , Heng Huang

Modern distributed systems face a critical challenge: existing consensus protocols optimize for either node heterogeneity or workload independence, but not both. For example, Cabinet leverages weighted quorums to handle node heterogeneity…

分布式、并行与集群计算 · 计算机科学 2025-12-24 Tanisha Fonseca , Gengrui Zhang

We consider an online two-stage stochastic optimization with long-term constraints over a finite horizon of $T$ periods. At each period, we take the first-stage action, observe a model parameter realization and then take the second-stage…

机器学习 · 计算机科学 2024-01-03 Piao Hu , Jiashuo Jiang , Guodong Lyu , Hao Su

We propose an approach based on machine learning to solve two-stage linear adaptive robust optimization (ARO) problems with binary here-and-now variables and polyhedral uncertainty sets. We encode the optimal here-and-now decisions, the…

机器学习 · 计算机科学 2026-04-21 Dimitris Bertsimas , Cheol Woo Kim

Cellular automata (CA) dynamics are ordered in terms of two global parameters, computable {\sl a priori} from the description of rules. While one of them (activity) has been used before, the second one is new; it estimates the average…

adap-org · 物理学 2009-10-22 P. -M. Binder

We present a novel factor analysis method that can be applied to the discovery of common factors shared among trajectories in multivariate time series data. These factors satisfy a precedence-ordering property: certain factors are recruited…

机器学习 · 统计学 2011-05-10 Arnau Tibau Puig , Alfred O. Hero

Two-stage stochastic programming is a problem formulation for decision-making under uncertainty. In the first stage, the actor makes a best "here and now" decision in the presence of uncertain quantities that will be resolved in the future,…

We present the new Orthogonal Polynomials Approximation Algorithm (OPAA), a parallelizable algorithm that estimates probability distributions using functional analytic approach: first, it finds a smooth functional estimate of the…

机器学习 · 计算机科学 2024-01-23 Lilian W. Bialokozowicz

Real-world data sets often exhibit temporal dynamics characterized by evolving data distributions. Disregarding this phenomenon, commonly referred to as concept drift, can significantly diminish a model's predictive accuracy. Furthermore,…

机器学习 · 计算机科学 2025-12-16 Mohammad Abu Shaira , Yunhe Feng , Heng Fan , Weishi Shi

Autonomous motion planning under unknown nonlinear dynamics presents significant challenges. An agent needs to continuously explore the system dynamics to acquire its properties, such as reachability, in order to guide system navigation…

机器人学 · 计算机科学 2025-03-06 Zhiquan Zhang , Gokul Puthumanaillam , Manav Vora , Melkior Ornik

When fitting statistical models, some predictors are often found to be correlated with each other, and functioning together. Many group variable selection methods are developed to select the groups of predictors that are closely related to…

统计方法学 · 统计学 2021-03-25 Zhiyuan Li