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A machine learning model that generalizes well should obtain low errors on unseen test examples. Thus, if we learn an optimal model in training data, it could have better generalization performance in testing tasks. However, learning such a…

Computer Vision and Pattern Recognition · Computer Science 2023-02-22 Penghao Jiang , Xin Ke , ZiFeng Wang , Chunxi Li

We present a novel $Q$-learning algorithm tailored to solve distributionally robust Markov decision problems where the corresponding ambiguity set of transition probabilities for the underlying Markov decision process is a Wasserstein ball…

Machine Learning · Computer Science 2024-06-21 Ariel Neufeld , Julian Sester

As machine learning models are deployed ever more broadly, it becomes increasingly important that they are not only able to perform well on their training distribution, but also yield accurate predictions when confronted with distribution…

Machine Learning · Computer Science 2022-04-14 Paul Michel , Tatsunori Hashimoto , Graham Neubig

Existing methods for anomaly detection often fall short due to their inability to handle the complexity, heterogeneity, and high dimensionality inherent in real-world mobility data. In this paper, we propose DeepBayesic, a novel framework…

Machine Learning · Computer Science 2024-10-07 Minxuan Duan , Yinlong Qian , Lingyi Zhao , Zihao Zhou , Zeeshan Rasheed , Rose Yu , Khurram Shafique

Deep neural networks are known to be vulnerable to adversarial attacks (AA). For an image recognition task, this means that a small perturbation of the original can result in the image being misclassified. Design of such attacks as well as…

Machine Learning · Computer Science 2023-06-19 Xingjian Bai , Guangyi He , Yifan Jiang , Jan Obloj

We propose a framework for distributed robust statistical learning on {\em big contaminated data}. The Distributed Robust Learning (DRL) framework can reduce the computational time of traditional robust learning methods by several orders of…

Machine Learning · Statistics 2015-02-10 Jiashi Feng , Huan Xu , Shie Mannor

This paper presents a novel methodology for tractably solving optimal control and offline reinforcement learning problems for high-dimensional systems. This work is motivated by the ongoing challenges of safety, computation, and optimality…

Optimization and Control · Mathematics 2022-07-06 Aaron Kandel , Saehong Park , Scott Moura

It is well-known that deep neural networks (DNNs) are susceptible to adversarial attacks, exposing a severe fragility of deep learning systems. As the result, adversarial training (AT) method, by incorporating adversarial examples during…

Machine Learning · Computer Science 2022-03-01 Tuan Anh Bui , Trung Le , Quan Tran , He Zhao , Dinh Phung

We propose a fundamental metric for measuring the distance between two distributions. This metric, referred to as the decision-focused (DF) divergence, is tailored to stochastic linear optimization problems in which the objective…

Statistics Theory · Mathematics 2026-02-04 Suhan Liu , Mo Liu

AI applications are becoming increasingly visible to the general public. There is a notable gap between the theoretical assumptions researchers make about computer vision models and the reality those models face when deployed in the real…

Computer Vision and Pattern Recognition · Computer Science 2023-12-05 Eashan Adhikarla , Kai Zhang , Jun Yu , Lichao Sun , John Nicholson , Brian D. Davison

We consider data-driven approaches that integrate a machine learning prediction model within distributionally robust optimization (DRO) given limited joint observations of uncertain parameters and covariates. Our framework is flexible in…

Optimization and Control · Mathematics 2022-05-26 Rohit Kannan , Güzin Bayraksan , James R. Luedtke

Robustness and safety are critical for the trustworthy deployment of deep reinforcement learning. Real-world decision making applications require algorithms that can guarantee robust performance and safety in the presence of general…

Machine Learning · Computer Science 2024-03-29 James Queeney , Erhan Can Ozcan , Ioannis Ch. Paschalidis , Christos G. Cassandras

In this paper we explore the relation between distributionally robust learning and different forms of regularization to enforce robustness of deep neural networks. In particular, starting from a concrete min-max distributionally robust…

Optimization and Control · Mathematics 2022-03-29 Camilo Garcia Trillos , Nicolas Garcia Trillos

Optimal Transport (OT) distances such as Wasserstein have been used in several areas such as GANs and domain adaptation. OT, however, is very sensitive to outliers (samples with large noise) in the data since in its objective function,…

Machine Learning · Computer Science 2020-10-13 Yogesh Balaji , Rama Chellappa , Soheil Feizi

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…

Machine Learning · Statistics 2024-06-05 Steven Wilkins-Reeves , Xu Chen , Qi Ma , Christine Agarwal , Aude Hofleitner

In this paper, we consider learning scenarios where the learned model is evaluated under an unknown test distribution which potentially differs from the training distribution (i.e. distribution shift). The learner has access to a family of…

Machine Learning · Computer Science 2022-02-14 Alekh Agarwal , Tong Zhang

This paper builds on classical distributionally robust optimization techniques to construct a comprehensive framework that can be used for solving inverse problems. Given an estimated distribution of inputs in $X$ and outputs in $Y$, an…

Deep neural networks achieve superior performance in semantic segmentation, but are limited to a predefined set of classes, which leads to failures when they encounter unknown objects in open-world scenarios. Recognizing and segmenting…

Computer Vision and Pattern Recognition · Computer Science 2025-12-15 Arnold Brosch , Abdelrahman Eldesokey , Michael Felsberg , Kira Maag

This article introduces a decentralized robust optimization framework for safe multi-agent control under uncertainty. Although stochastic noise has been the primary form of modeling uncertainty in such systems, these formulations might fall…

Optimization and Control · Mathematics 2025-08-19 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou

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…

Machine Learning · Computer Science 2023-02-23 Duy Nguyen , Ngoc Bui , Viet Anh Nguyen