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Optimization models used to make discrete decisions often contain uncertain parameters that are context-dependent and estimated through prediction. To account for the quality of the decision made based on the prediction, decision-focused…

Machine Learning · Computer Science 2024-07-30 Noah Schutte , Krzysztof Postek , Neil Yorke-Smith

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…

Machine Learning · Computer Science 2023-02-24 Yao Yao , Qihang Lin , Tianbao Yang

Areas under ROC (AUROC) and precision-recall curves (AUPRC) are common metrics for evaluating classification performance for imbalanced problems. Compared with AUROC, AUPRC is a more appropriate metric for highly imbalanced datasets. While…

Machine Learning · Computer Science 2023-04-14 Qi Qi , Youzhi Luo , Zhao Xu , Shuiwang Ji , Tianbao Yang

This paper studies the performative prediction problem where a learner aims to minimize the expected loss with a decision-dependent data distribution. Such setting is motivated when outcomes can be affected by the prediction model, e.g., in…

Optimization and Control · Mathematics 2024-05-24 Haitong Liu , Qiang Li , Hoi-To Wai

We introduce two data-driven procedures for optimal estimation and inference in nonparametric models using instrumental variables. The first is a data-driven choice of sieve dimension for a popular class of sieve two-stage least squares…

Econometrics · Economics 2024-01-09 Xiaohong Chen , Timothy Christensen , Sid Kankanala

Receiver Operating Characteristic (ROC) curves are plots of true positive rate versus false positive rate which are useful for evaluating binary classification models, but difficult to use for learning since the Area Under the Curve (AUC)…

Machine Learning · Statistics 2021-07-06 Jonathan Hillman , Toby Dylan Hocking

AUC is an important performance measure and many algorithms have been devoted to AUC optimization, mostly by minimizing a surrogate convex loss on a training data set. In this work, we focus on one-pass AUC optimization that requires only…

Machine Learning · Computer Science 2020-07-07 Wei Gao , Rong Jin , Shenghuo Zhu , Zhi-Hua Zhou

We consider the problem of quantifying the quality of a model selection problem for a graphical model. We discuss this by formulating the problem as a detection problem. Model selection problems usually minimize a distance between the…

Information Theory · Computer Science 2017-10-19 Navid Tafaghodi Khajavi , Anthony Kuh

In this paper, we propose systematic and efficient gradient-based methods for both one-way and two-way partial AUC (pAUC) maximization that are applicable to deep learning. We propose new formulations of pAUC surrogate objectives by using…

Machine Learning · Computer Science 2023-09-19 Dixian Zhu , Gang Li , Bokun Wang , Xiaodong Wu , Tianbao Yang

Recent work has shown that the performance of machine learning models can vary substantially when models are evaluated on data drawn from a distribution that is close to but different from the training distribution. As a result, predicting…

Machine Learning · Computer Science 2021-08-23 Devin Guillory , Vaishaal Shankar , Sayna Ebrahimi , Trevor Darrell , Ludwig Schmidt

The machine learning literature contains several constructions for prediction intervals that are intuitively reasonable but ultimately ad-hoc in that they do not come with provable performance guarantees. We present methods from the…

Machine Learning · Statistics 2020-02-25 Danijel Kivaranovic , Kory D. Johnson , Hannes Leeb

In many optimization problems arising from scientific, engineering and artificial intelligence applications, objective and constraint functions are available only as the output of a black-box or simulation oracle that does not provide…

Optimization and Control · Mathematics 2019-08-15 Jeffrey Larson , Matt Menickelly , Stefan M. Wild

Adequate evaluation of an information retrieval system to estimate future performance is a crucial task. Area under the ROC curve (AUC) is widely used to evaluate the generalization of a retrieval system. However, the objective function…

Information Retrieval · Computer Science 2016-04-26 Sean J. Welleck

In this paper, we will provide an introduction to the derivative-free optimization algorithms which can be potentially applied to train deep learning models. Existing deep learning model training is mostly based on the back propagation…

Machine Learning · Computer Science 2019-04-23 Jiawei Zhang

We consider the problem of hypothesis testing for discrete distributions. In the standard model, where we have sample access to an underlying distribution $p$, extensive research has established optimal bounds for uniformity testing,…

Machine Learning · Computer Science 2024-12-03 Maryam Aliakbarpour , Piotr Indyk , Ronitt Rubinfeld , Sandeep Silwal

The predict+optimize problem combines machine learning ofproblem coefficients with a combinatorial optimization prob-lem that uses the predicted coefficients. While this problemcan be solved in two separate stages, it is better to…

Machine Learning · Computer Science 2020-12-07 Ali Ugur Guler , Emir Demirovic , Jeffrey Chan , James Bailey , Christopher Leckie , Peter J. Stuckey

Computing cross-partial derivatives using fewer model runs is relevant in modeling, such as stochastic approximation, derivative-based ANOVA, exploring complex models, and active subspaces. This paper introduces surrogates of all the…

Methodology · Statistics 2024-07-17 Matieyendou Lamboni

Many real-world optimization problems involve uncertain parameters with probability distributions that can be estimated using contextual feature information. In contrast to the standard approach of first estimating the distribution of…

Machine Learning · Statistics 2023-08-03 Meng Qi , Paul Grigas , Zuo-Jun Max Shen

Classification is a common statistical task in many areas. In order to ameliorate the performance of the existing methods, there are always some new classification procedures proposed. These procedures, especially those raised in the…

Methodology · Statistics 2026-05-05 Yuan-chin Ivan Chang

This work explores a novel perspective on solving nonconvex and nonsmooth optimization problems by leveraging sampling based methods. Instead of treating the objective function purely through traditional (often deterministic) optimization…

Optimization and Control · Mathematics 2025-05-21 Nahom Seyoum , Haoxiang You