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相关论文: A Distributionally Robust Area Under Curve Maximiz…

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Researchers often face choices between multiple data sources that differ in quality, cost, and representativeness. Which sources will most improve predictive performance? We study this data prioritization problem under a random distribution…

统计方法学 · 统计学 2025-12-16 Ivy Zhang , Dominik Rothenhäusler

Distributionally robust optimization (DRO) has shown lot of promise in providing robustness in learning as well as sample based optimization problems. We endeavor to provide DRO solutions for a class of sum of fractionals, non-convex…

机器学习 · 计算机科学 2022-06-01 Avinandan Bose , Arunesh Sinha , Tien Mai

We propose kernel distributionally robust optimization (Kernel DRO) using insights from the robust optimization theory and functional analysis. Our method uses reproducing kernel Hilbert spaces (RKHS) to construct a wide range of convex…

最优化与控制 · 数学 2021-06-28 Jia-Jie Zhu , Wittawat Jitkrittum , Moritz Diehl , Bernhard Schölkopf

We study control of constrained linear systems with only partial statistical information about the uncertainty affecting the system dynamics and the sensor measurements. Specifically, given a finite collection of disturbance realizations…

In this work, we study the problem of learning a single model for multiple domains. Unlike the conventional machine learning scenario where each domain can have the corresponding model, multiple domains (i.e., applications/users) may share…

机器学习 · 计算机科学 2019-05-23 Qi Qian , Shenghuo Zhu , Jiasheng Tang , Rong Jin , Baigui Sun , Hao Li

The area under the ROC curve is widely used as a measure of performance of classification rules. However, it has recently been shown that the measure is fundamentally incoherent, in the sense that it treats the relative severities of…

统计方法学 · 统计学 2013-08-02 David J. Hand , Christoforos Anagnostopoulos

In this work, we present an algorithmically tractable safe approximation of distributionally robust optimization (DRO) problems that contain univariate indicator functions. The latter appear in different applications, but render the model…

最优化与控制 · 数学 2026-01-22 Jana Dienstbier , Frauke Liers , Florian Rösel , Jan Rolfes

We study a stochastic program where the probability distribution of the uncertain problem parameters is unknown and only indirectly observed via finitely many correlated samples generated by an unknown Markov chain with $d$ states. We…

最优化与控制 · 数学 2021-06-15 Mengmeng Li , Tobias Sutter , Daniel Kuhn

In the context of a binary classification problem, the optimal linear combination of continuous predictors can be estimated by maximizing an empirical estimate of the area under the receiver operating characteristic (ROC) curve (AUC). For…

In this work, we propose a distributionally robust stochastic model predictive control (DR-SMPC) algorithm to address the problem of two-sided chance constrained discrete-time linear system corrupted by additive noise. The prevalent…

系统与控制 · 电气工程与系统科学 2022-03-17 Yuan Tan , Jun Yang , Wen-Hua Chen , Shihua Li

Distribution shifts are ubiquitous in real-world machine learning applications, posing a challenge to the generalization of models trained on one data distribution to another. We focus on scenarios where data distributions vary across…

机器学习 · 统计学 2024-06-05 Steven Wilkins-Reeves , Xu Chen , Qi Ma , Christine Agarwal , Aude Hofleitner

The receiver operating characteristic (ROC) curve and its summary measure, the Area Under the Curve (AUC), are well-established tools for evaluating the efficacy of biomarkers in biomedical studies. Compared to the traditional ROC curve,…

统计方法学 · 统计学 2025-10-20 Ziad Akram Ali Hammouri , Yating Zou , Rahul Ghosal , Juan C. Vidal , Marcos Matabuena

The growing uncertainty from renewable power and electricity demand brings significant challenges to unit commitment (UC). While various advanced forecasting and optimization methods have been developed to predict better and address this…

最优化与控制 · 数学 2025-09-30 Rui Xie , Yue Chen , Pierre Pinson

A recourse action aims to explain a particular algorithmic decision by showing one specific way in which the instance could be modified to receive an alternate outcome. Existing recourse generation methods often assume that the machine…

机器学习 · 计算机科学 2023-02-23 Duy Nguyen , Ngoc Bui , Viet Anh Nguyen

We study finite-sample statistical performance guarantees for distributionally robust optimization (DRO) with optimal transport (OT) and OT-regularized divergence model neighborhoods. Specifically, we derive concentration inequalities for…

机器学习 · 统计学 2026-03-31 Jeremiah Birrell , Xiaoxi Shen

Recent deep models for solving routing problems always assume a single distribution of nodes for training, which severely impairs their cross-distribution generalization ability. In this paper, we exploit group distributionally robust…

机器学习 · 计算机科学 2022-02-16 Yuan Jiang , Yaoxin Wu , Zhiguang Cao , Jie Zhang

We study data-driven learning of robust stochastic control for infinite-horizon systems with potentially continuous state and action spaces. In many managerial settings--supply chains, finance, manufacturing, services, and dynamic…

机器学习 · 统计学 2025-11-18 Shengbo Wang , Jason Meng , Nian Si , Jose Blanchet , Zhengyuan Zhou

We consider statistical methods which invoke a min-max distributionally robust formulation to extract good out-of-sample performance in data-driven optimization and learning problems. Acknowledging the distributional uncertainty in learning…

统计理论 · 数学 2021-08-05 Jose Blanchet , Karthyek Murthy , Viet Anh Nguyen

Submodular functions have applications throughout machine learning, but in many settings, we do not have direct access to the underlying function $f$. We focus on stochastic functions that are given as an expectation of functions over a…

机器学习 · 计算机科学 2018-06-07 Matthew Staib , Bryan Wilder , Stefanie Jegelka

In diagnostic studies, researchers frequently encounter imperfect reference standards with some misclassified labels. Treating these as gold standards can bias receiver operating characteristic (ROC) curve analysis. To address this issue,…

统计方法学 · 统计学 2025-02-13 Yifan Sun , Peijun Sang , Qinglong Tian , Pengfei Li
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