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As machine learning being used increasingly in making high-stakes decisions, an arising challenge is to avoid unfair AI systems that lead to discriminatory decisions for protected population. A direct approach for obtaining a fair…

机器学习 · 计算机科学 2023-02-24 Yao Yao , Qihang Lin , Tianbao Yang

Weakly supervised learning aims to empower machine learning when the perfect supervision is unavailable, which has drawn great attention from researchers. Among various types of weak supervision, one of the most challenging cases is to…

机器学习 · 计算机科学 2023-09-18 Zheng Xie , Yu Liu , Ming Li

In this paper, we describe a novel unsupervised learning scheme for accelerating the solution of a family of mixed integer programming (MIP) problems. Distinct substantially from existing learning-to-optimize methods, our proposal seeks to…

最优化与控制 · 数学 2024-12-25 Shiyuan Qu , Fenglian Dong , Zhiwei Wei , Chao Shang

We consider a discrete optimization formulation for learning sparse classifiers, where the outcome depends upon a linear combination of a small subset of features. Recent work has shown that mixed integer programming (MIP) can be used to…

机器学习 · 统计学 2021-06-08 Antoine Dedieu , Hussein Hazimeh , Rahul Mazumder

We consider the problem of learning optimal binary classification trees. Literature on the topic has burgeoned in recent years, motivated both by the empirical suboptimality of heuristic approaches and the tremendous improvements in…

机器学习 · 统计学 2020-05-14 Sina Aghaei , Andres Gomez , Phebe Vayanos

Area under the ROC curve, a.k.a. AUC, is a measure of choice for assessing the performance of a classifier for imbalanced data. AUC maximization refers to a learning paradigm that learns a predictive model by directly maximizing its AUC…

机器学习 · 计算机科学 2022-08-04 Tianbao Yang , Yiming Ying

Recent advances in mathematical programming have made Mixed Integer Optimization a competitive alternative to popular regularization methods for selecting features in regression problems. The approach exhibits unquestionable foundational…

统计方法学 · 统计学 2019-10-01 Ana Kenney , Francesca Chiaromonte , Giovanni Felici

Mixed-integer convex programming (MICP) has seen significant algorithmic and hardware improvements with several orders of magnitude solve time speedups compared to 25 years ago. Despite these advances, MICP has been rarely applied to…

机器人学 · 计算机科学 2022-04-12 A. Cauligi , P. Culbertson , B. Stellato , D. Bertsimas , M. Schwager , M. Pavone

This paper considers a novel application of deep AUC maximization (DAM) for multi-instance learning (MIL), in which a single class label is assigned to a bag of instances (e.g., multiple 2D slices of a CT scan for a patient). We address a…

机器学习 · 计算机科学 2023-06-07 Dixian Zhu , Bokun Wang , Zhi Chen , Yaxing Wang , Milan Sonka , Xiaodong Wu , Tianbao Yang

Scoring systems, as a type of predictive model, have significant advantages in interpretability and transparency and facilitate quick decision-making. As such, scoring systems have been extensively used in a wide variety of industries such…

机器学习 · 计算机科学 2022-11-23 Yi Yang , Ying Wu , Mei Li , Xiangyu Chang , Yong Tan

We consider the following sequential decision problem. Given a set of items of unknown utility, we need to select one of as high a utility as possible (``the selection problem''). Measurements (possibly noisy) of item values prior to…

人工智能 · 计算机科学 2009-06-18 David Tolpin , Solomon Eyal Shimony

Learning to improve AUC performance is an important topic in machine learning. However, AUC maximization algorithms may decrease generalization performance due to the noisy data. Self-paced learning is an effective method for handling noisy…

机器学习 · 计算机科学 2022-07-11 Bin Gu , Chenkang Zhang , Huan Xiong , Heng Huang

We consider a binary classification problem under group fairness constraints, which can be one of Demographic Parity (DP), Equalized Opportunity (EOp), or Equalized Odds (EO). We propose an explicit characterization of Bayes optimal…

机器学习 · 统计学 2024-03-18 Wenlong Chen , Yegor Klochkov , Yang Liu

This paper proposes a novel Distributed Unknown Input Observer (DUIO) framework for state estimation in large-scale systems subject to local unknown inputs. We consider systems where outputs are measured by a network of spatially…

系统与控制 · 电气工程与系统科学 2026-04-14 Ruixuan Zhao , Guitao Yang , Nicola Bastianello , Boli Chen

Discrete black-box optimization problems are challenging for model-based optimization (MBO) algorithms, such as Bayesian optimization, due to the size of the search space and the need to satisfy combinatorial constraints. In particular,…

In this paper, we propose a novel adaptive reduced-rank strategy for very large multiuser multi-input multi-output (MIMO) systems. The proposed reduced-rank scheme is based on the concept of joint iterative optimization (JIO) of filters…

信息论 · 计算机科学 2013-02-20 Yunlong Cai , Rodrigo C. de Lamare

The design of informatively rich input signals is essential for accurate system identification, yet classical Fisher-information-based methods are inherently local and often inadequate in the presence of significant model uncertainty and…

统计理论 · 数学 2025-12-15 Piotr Bania , Anna Wójcik

The masking-one-out (MOO) procedure, masking an observed entry and comparing it versus its imputed values, is a very common procedure for comparing imputation models. We study the optimum of this procedure and generalize it to a missing…

统计方法学 · 统计学 2025-11-14 Yanjiao Yang , Daniel Suen , Yen-Chi Chen

Linear Predictive Clustering (LPC) partitions samples based on shared linear relationships between feature and target variables, with numerous applications including marketing, medicine, and education. Greedy optimization methods, commonly…

机器学习 · 计算机科学 2026-04-08 Jiazhou Liang , Hassan Khurram , Scott Sanner

Many applications in mechanical, acoustic, and electronic engineering require estimating complex dynamical models, often represented as additive multi-input multi-output (MIMO) transfer functions with structural constraints. This paper…

系统与控制 · 电气工程与系统科学 2025-05-21 Rodrigo A. González , Maarten van der Hulst , Koen Classens , Tom Oomen