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In this paper, we suggest a new framework for analyzing primal subgradient methods for nonsmooth convex optimization problems. We show that the classical step-size rules, based on normalization of subgradient, or on the knowledge of optimal…

Optimization and Control · Mathematics 2023-11-27 Yurii Nesterov

Primal-dual methods for solving convex optimization problems with functional constraints often exhibit a distinct two-stage behavior. Initially, they converge towards a solution at a sublinear rate. Then, after a certain point, the method…

Optimization and Control · Mathematics 2026-02-12 Mateo Díaz , Pedro Izquierdo Lehmann , Haihao Lu , Jinwen Yang

We present a new optimization method for the group selection problem in linear regression. In this problem, predictors are assumed to have a natural group structure and the goal is to select a small set of groups that best fits the…

Methodology · Statistics 2024-04-23 Anant Mathur , Sarat Moka , Benoit Liquet , Zdravko Botev

In many classification settings, the class of primary interest is underrepresented, leading to imbalanced data problems that arise in applications such as rare disease detection and fraud identification. In these contexts, identifying a…

Machine Learning · Statistics 2026-05-06 Daniel Fraiman , Ricardo Fraiman

Subgroup analysis evaluates treatment effects across multiple sub-populations. When subgroups are defined by latent memberships inferred from imperfect measurements, the analysis typically involves two inter-connected models, a latent class…

Methodology · Statistics 2026-01-05 Yuanhui Luo , Xinzhou Guo , Yuqi Gu

A framework is introduced for sequentially solving convex stochastic minimization problems, where the objective functions change slowly, in the sense that the distance between successive minimizers is bounded. The minimization problems are…

Optimization and Control · Mathematics 2018-03-12 Craig Wilson , Venugopal Veeravalli , Angelia Nedich

When a subgroup is identified from the data, it must be evaluated in a replicable way. The usual in-sample approach, which evaluates the post-hoc identified subgroup as predefined, might suffer from selection bias. This issue of in-sample…

Methodology · Statistics 2026-05-06 Shuoxun Xu , Xinzhou Guo

Consider the setting of constrained optimization, with some parameters unknown at solving time and requiring prediction from relevant features. Predict+Optimize is a recent framework for end-to-end training supervised learning models for…

Artificial Intelligence · Computer Science 2023-11-15 Xinyi Hu , Jasper C. H. Lee , Jimmy H. M. Lee

In most machine learning applications, classification accuracy is not the primary metric of interest. Binary classifiers which face class imbalance are often evaluated by the $F_\beta$ score, area under the precision-recall curve, Precision…

Machine Learning · Computer Science 2018-03-02 Alan Mackey , Xiyang Luo , Elad Eban

We propose a new inference framework, named MOSAIC, for change-point detection in dynamic networks with the simultaneous low-rank and sparse-change structure. We establish the minimax rate of detection boundary, which relies on the sparsity…

Machine Learning · Statistics 2025-09-09 Yingying Fan , Jingyuan Liu , Jinchi Lv , Ao Sun

Machine learning (ML) is increasingly employed in real-world applications like medicine or economics, thus, potentially affecting large populations. However, ML models often do not perform homogeneously, leading to underperformance or,…

Machine Learning · Computer Science 2025-08-28 Tom Siegl , Kutalmış Coşkun , Bjarne C. Hiller , Amin Mirzaei , Florian Lemmerich , Martin Becker

Personalized medicine, a paradigm of medicine tailored to a patient's characteristics, is an increasingly attractive field in health care. An important goal of personalized medicine is to identify a subgroup of patients, based on baseline…

Machine Learning · Statistics 2023-01-31 Hengrui Cai , Wenbin Lu , Rachel Marceau West , Devan V. Mehrotra , Lingkang Huang

In this paper we present a unified framework for solving a general class of problems arising in the context of set-membership estimation/identification theory. More precisely, the paper aims at providing an original approach for the…

Systems and Control · Computer Science 2016-11-18 Vito Cerone , Jean-Bernard Lasserre , Dario Piga , Diego Regruto

Few-Shot Learning (FSL) is a challenging task, \emph{i.e.}, how to recognize novel classes with few examples? Pre-training based methods effectively tackle the problem by pre-training a feature extractor and then predicting novel classes…

Computer Vision and Pattern Recognition · Computer Science 2021-12-07 Baoquan Zhang , Xutao Li , Shanshan Feng , Yunming Ye , Rui Ye

Subgroup-discovery methods allow users to obtain simple descriptions of interesting regions in a dataset. Using constraints in subgroup discovery can enhance interpretability even further. In this article, we focus on two types of…

Machine Learning · Computer Science 2025-06-23 Jakob Bach

In this paper, we introduce a discrete variant of the meta-learning framework. Meta-learning aims at exploiting prior experience and data to improve performance on future tasks. By now, there exist numerous formulations for meta-learning in…

Machine Learning · Computer Science 2021-01-12 Arman Adibi , Aryan Mokhtari , Hamed Hassani

This paper proposes an interior-point framework for constrained optimization problems whose decision variables evolve on matrix Lie groups. The proposed method, termed the Matrix Lie Group Interior-Point Method (MLG-IPM), operates directly…

Optimization and Control · Mathematics 2026-03-31 Aclécio J. Santos , Jean C. Pereira , Guilherme V. Raffo

Consider a two-class classification problem where the number of features is much larger than the sample size. The features are masked by Gaussian noise with mean zero and covariance matrix $\Sigma$, where the precision matrix…

Machine Learning · Statistics 2013-11-21 Yingying Fan , Jiashun Jin , Zhigang Yao

The Partial Area Under the ROC Curve (PAUC), typically including One-way Partial AUC (OPAUC) and Two-way Partial AUC (TPAUC), measures the average performance of a binary classifier within a specific false positive rate and/or true positive…

Machine Learning · Computer Science 2022-10-12 Huiyang Shao , Qianqian Xu , Zhiyong Yang , Shilong Bao , Qingming Huang

Many causal estimands are only partially identifiable since they depend on the unobservable joint distribution between potential outcomes. Stratification on pretreatment covariates can yield sharper bounds; however, unless the covariates…

Econometrics · Economics 2024-11-19 Wenlong Ji , Lihua Lei , Asher Spector
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