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Distributionally robust optimization (DRO) has become a powerful framework for estimation under uncertainty, offering strong out-of-sample performance and principled regularization. In this paper, we propose a DRO-based method for linear…

机器学习 · 统计学 2025-05-06 Liviu Aolaritei , Soroosh Shafiee , Florian Dörfler

The concepts of risk-aversion, chance-constrained optimization, and robust optimization have developed significantly over the last decade. Statistical learning community has also witnessed a rapid theoretical and applied growth by relying…

最优化与控制 · 数学 2022-10-25 Hamed Rahimian , Sanjay Mehrotra

In this paper we survey the primary research, both theoretical and applied, in the area of Robust Optimization (RO). Our focus is on the computational attractiveness of RO approaches, as well as the modeling power and broad applicability of…

最优化与控制 · 数学 2010-10-27 Dimitris Bertsimas , David B. Brown , Constantine Caramanis

Model evaluation is of crucial importance in modern statistics application. The construction of ROC and calculation of AUC have been widely used for binary classification evaluation. Recent research generalizing the ROC/AUC analysis to…

机器学习 · 统计学 2024-04-23 Liang Wang , Luis Carvalho

The rise of smart factories has heightened the demand for automated maintenance, and normal-data-based anomaly detection has proved particularly effective in environments where anomaly data are scarce. This method, which does not require…

机器学习 · 计算机科学 2024-08-12 Wonjun Yi , Yong-Hwa Park , Wonho Jung

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…

信息论 · 计算机科学 2017-10-19 Navid Tafaghodi Khajavi , Anthony Kuh

Deep Convolutional Neural Networks (DCNN) has shown excellent performance in a variety of machine learning tasks. This manuscript presents Deep Convolutional Neural Fields (DeepCNF), a combination of DCNN with Conditional Random Field…

机器学习 · 统计学 2015-11-23 Sheng Wang , Siqi Sun , Jinbo Xu

In this paper, we consider a network capacity expansion problem in the context of telecommunication networks, where there is uncertainty associated with the expected traffic demand. We employ a distributionally robust stochastic…

最优化与控制 · 数学 2020-04-10 Trivikram Dokka , Francis Garuba , Marc Goerigk , Peter Jacko

Adversarially robust optimization (ARO) has emerged as the *de facto* standard for training models that hedge against adversarial attacks in the test stage. While these models are robust against adversarial attacks, they tend to suffer…

最优化与控制 · 数学 2025-06-12 Aras Selvi , Eleonora Kreacic , Mohsen Ghassemi , Vamsi Potluru , Tucker Balch , Manuela Veloso

Distributionally robust optimization (DRO) studies decision problems under uncertainty where the probability distribution governing the uncertain problem parameters is itself uncertain. A key component of any DRO model is its ambiguity set,…

最优化与控制 · 数学 2025-05-28 Daniel Kuhn , Soroosh Shafiee , Wolfram Wiesemann

The Robust Satisficing (RS) model is an emerging approach to robust optimization, offering streamlined procedures and robust generalization across various applications. However, the statistical theory of RS remains unexplored in the…

机器学习 · 统计学 2024-06-03 Zhiyi Li , Yunbei Xu , Ruohan Zhan

Several variants of reweighted risk functionals, such as focal loss, inverse focal loss, and the Area Under the Risk Coverage Curve (AURC), have been proposed for improving model calibration; yet their theoretical connections to calibration…

计算机视觉与模式识别 · 计算机科学 2026-01-30 Han Zhou , Sebastian G. Gruber , Teodora Popordanoska , Matthew B. Blaschko

Prior to clinical applications, it is critical that risk prediction models are evaluated in independent studies that did not contribute to model development. While prospective cohort studies provide a natural setting for model validation,…

统计方法学 · 统计学 2017-10-13 Parichoy Pal Choudhury , Anil K. Chaturvedi , Nilanjan Chatterjee

We consider the problem of training a classification model with group annotated training data. Recent work has established that, if there is distribution shift across different groups, models trained using the standard empirical risk…

机器学习 · 计算机科学 2022-04-21 Vihari Piratla , Praneeth Netrapalli , Sunita Sarawagi

The reliability of neural networks is essential for their use in safety-critical applications. Existing approaches generally aim at improving the robustness of neural networks to either real-world distribution shifts (e.g., common…

机器学习 · 计算机科学 2022-05-20 Leo Schwinn , Leon Bungert , An Nguyen , René Raab , Falk Pulsmeyer , Doina Precup , Björn Eskofier , Dario Zanca

This article extends the optimal covariance steering (CS) problem for discrete time linear stochastic systems modeled using moment-based ambiguity sets. To hedge against the uncertainty in the state distributions while performing covariance…

最优化与控制 · 数学 2022-11-09 Venkatraman Renganathan , Joshua Pilipovsky , Panagiotis Tsiotras

Two-way partial AUC (TPAUC) is a critical performance metric for binary classification with imbalanced data, as it focuses on specific ranges of the true positive rate (TPR) and false positive rate (FPR). However, stochastic algorithms for…

机器学习 · 计算机科学 2025-09-30 Linli Zhou , Bokun Wang , My T. Thai , Tianbao Yang

We aim at developing and improving the imbalanced business risk modeling via jointly using proper evaluation criteria, resampling, cross-validation, classifier regularization, and ensembling techniques. Area Under the Receiver Operating…

机器学习 · 统计学 2019-03-14 Yan Wang , Xuelei Sherry Ni

Well-known for its simplicity and effectiveness in classification, AdaBoost, however, suffers from overfitting when class-conditional distributions have significant overlap. Moreover, it is very sensitive to noise that appears in the…

机器学习 · 统计学 2018-06-22 Zhi Xiao , Zhe Luo , Bo Zhong , Xin Dang

We study off-dynamics Reinforcement Learning (RL), where the policy training and deployment environments are different. To deal with this environmental perturbation, we focus on learning policies robust to uncertainties in transition…

机器学习 · 计算机科学 2024-10-01 Zhishuai Liu , Weixin Wang , Pan Xu