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A multiple knapsack constraint over a set of items is defined by a set of bins of arbitrary capacities, and a weight for each of the items. An assignment for the constraint is an allocation of subsets of items to the bins which adheres to…

数据结构与算法 · 计算机科学 2021-06-29 Yaron Fairstein , Ariel Kulik , Hadas Shachnai

Composite optimization problems involve minimizing the composition of a smooth map with a convex function. Such objectives arise in numerous data science and signal processing applications, including phase retrieval, blind deconvolution,…

最优化与控制 · 数学 2025-10-06 Mateo Díaz , Liwei Jiang , Abdel Ghani Labassi

Abstaining classifiers have been widely used in cost-sensitive applications to avoid ambiguous classification and reduce the cost of misclassification. Previous abstaining classification models rely on cost information, such as a cost…

机器学习 · 计算机科学 2019-05-20 Hongjiao Guan

We study a class of convex-concave min-max problems in which the coupled component of the objective is linear in at least one of the two decision vectors. We identify such problem structure as interpolating between the bilinearly and…

最优化与控制 · 数学 2025-07-10 Ronak Mehta , Jelena Diakonikolas , Zaid Harchaoui

We introduce a manifold-based framework for addressing optimization problems with equality and inequality constraints found in robotics. Our approach transforms the original problem into an unconstrained optimization problem directly on the…

机器人学 · 计算机科学 2026-05-21 Yetong Zhang , Frank Dellaert

We present a coordinate ascent method for a class of semidefinite programming problems that arise in non-convex quadratic integer optimization. These semidefinite programs are characterized by a small total number of active constraints and…

最优化与控制 · 数学 2020-07-13 Christoph Buchheim , Maribel Montenegro , Angelika Wiegele

Inspired by the problem of improving classification accuracy on rare or hard subsets of a population, there has been recent interest in models of learning where the goal is to generalize to a collection of distributions, each representing a…

机器学习 · 计算机科学 2023-06-06 Nick Rittler , Kamalika Chaudhuri

We consider a popular family of constrained optimization problems arising in machine learning that involve optimizing a non-decomposable evaluation metric with a certain thresholded form, while constraining another metric of interest.…

机器学习 · 计算机科学 2021-07-30 Abhishek Kumar , Harikrishna Narasimhan , Andrew Cotter

An important task in early phase drug development is to identify patients, which respond better or worse to an experimental treatment. While a variety of different subgroup identification methods have been developed for the situation of…

统计方法学 · 统计学 2020-01-22 Marius Thomas , Björn Bornkamp , Heidi Seibold

This paper studies nonparametric local (over-)identification and the semiparametric efficiency in modern causal frameworks. We develop a unified approach that begins by translating structural models with latent variables into their induced…

计量经济学 · 经济学 2026-03-02 Xiaohong Chen , Haitian Xie

Identification of active constraints in constrained optimization is of interest from both practical and theoretical viewpoints, as it holds the promise of reducing an inequality-constrained problem to an equality-constrained problem, in a…

最优化与控制 · 数学 2009-01-20 Adrian S. Lewis , Stephen J. Wright

An algorithm for solving smooth nonconvex optimization problems is proposed that, in the worst-case, takes $\mathcal{O}(\epsilon^{-3/2})$ iterations to drive the norm of the gradient of the objective function below a prescribed positive…

最优化与控制 · 数学 2018-03-16 Frank E. Curtis , Daniel P. Robinson , Mohammadreza Samadi

Stochastic compositional minimax problems are prevalent in machine learning, yet there are only limited established on the convergence of this class of problems. In this paper, we propose a formal definition of the stochastic compositional…

最优化与控制 · 数学 2024-08-23 Yuyang Deng , Fuli Qiao , Mehrdad Mahdavi

We consider unconstrained multi-criteria optimization problems with finite sum objective functions. The proposed algorithm belongs to a non-monotone trust region framework where additional sampling approach is used to govern the sample size…

最优化与控制 · 数学 2026-03-13 Nataša Krklec Jerinkić , Luka Rutešić , Ilaria Trombini

Best subset selection is considered the `gold standard' for many sparse learning problems. A variety of optimization techniques have been proposed to attack this non-convex and NP-hard problem. In this paper, we investigate the dual forms…

统计方法学 · 统计学 2022-07-06 Shaogang Ren , Guanhua Fang , Ping Li

This paper presents an algorithmic framework for solving unconstrained stochastic optimization problems using only stochastic function evaluations. We employ central finite-difference based gradient estimation methods to approximate the…

最优化与控制 · 数学 2025-01-14 Raghu Bollapragada , Cem Karamanli

RANSAC is a popular technique for estimating model parameters in the presence of outliers. The best speed is achieved when the minimum possible number of points is used to estimate hypotheses for the model. Many useful problems can be…

计算机视觉与模式识别 · 计算机科学 2010-07-09 Edward Rosten , Gerhard Reitmayr , Tom Drummond

While a broad range of techniques have been proposed to tackle distribution shift, the simple baseline of training on an $\textit{undersampled}$ balanced dataset often achieves close to state-of-the-art-accuracy across several popular…

机器学习 · 计算机科学 2023-06-21 Niladri S. Chatterji , Saminul Haque , Tatsunori Hashimoto

Personalized medicine aims at identifying best treatments for a patient with given characteristics. It has been shown in the literature that these methods can lead to great improvements in medicine compared to traditional methods…

Identifying active constraints from a point near an optimal solution is important both theoretically and practically in constrained continuous optimization, as it can help identify optimal Lagrange multipliers and essentially reduces an…

最优化与控制 · 数学 2025-09-03 Frank E. Curtis , Daniel P. Robinson , Lara Zebiane