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The multivariate conditional probability distribution models the effects of a set of variables onto the statistical properties of another set of variables. In the study of systemic risk in a financial system, the multivariate conditional…

Risk Management · Quantitative Finance 2021-05-05 Tomaso Aste

We study the problem of designing consistent sequential two-sample tests in a nonparametric setting. Guided by the principle of testing by betting, we reframe this task into that of selecting a sequence of payoff functions that maximize the…

Statistics Theory · Mathematics 2025-08-26 Shubhanshu Shekhar , Aaditya Ramdas

Adversarial risk quantifies the performance of classifiers on adversarially perturbed data. Numerous definitions of adversarial risk -- not all mathematically rigorous and differing subtly in the details -- have appeared in the literature.…

Machine Learning · Statistics 2022-01-25 Muni Sreenivas Pydi , Varun Jog

In this paper we introduce the novel framework of distributionally robust games. These are multi-player games where each player models the state of nature using a worst-case distribution, also called adversarial distribution. Thus each…

Optimization and Control · Mathematics 2017-07-25 Dario Bauso , Jian Gao , Hamidou Tembine

In this paper, we develop a family of bivariate beta distributions that encapsulate both positive and negative correlations, and which can be of general interest for Bayesian inference. We then invoke a use of these bivariate distributions…

We demonstrate the use of Adaptive Stress Testing to detect and address potential vulnerabilities in a financial environment. We develop a simplified model for credit card fraud detection that utilizes a linear regression classifier based…

Artificial Intelligence · Computer Science 2021-07-09 Khalid El-Awady

We propose a game-theoretic framework that incorporates both incomplete information and general ambiguity attitudes on factors external to all players. Our starting point is players' preferences on payoff-distribution vectors, essentially…

Economics · Quantitative Finance 2017-04-04 Jian Yang

Adversarial training aims to defend against adversaries: malicious opponents whose sole aim is to harm predictive performance in any way possible. This presents a rather harsh perspective, which we assert results in unnecessarily…

Machine Learning · Computer Science 2025-06-10 Maayan Ehrenberg , Roy Ganz , Nir Rosenfeld

The log-Lindley distribution was recently introduced in the literature as a viable alternative to the Beta distribution. This distribution has a simple structure and possesses useful theoretical properties relevant in insurance. Classical…

Statistics Theory · Mathematics 2019-09-06 Aniket Biswas , Subrata Chakraborty , Meghna Mukherjee

We introduce a two-player contest for evaluating the safety and robustness of machine learning systems, with a large prize pool. Unlike most prior work in ML robustness, which studies norm-constrained adversaries, we shift our focus to…

Machine Learning · Statistics 2018-09-25 Tom B. Brown , Nicholas Carlini , Chiyuan Zhang , Catherine Olsson , Paul Christiano , Ian Goodfellow

We propose a framework for adversarial training that relies on a sample rather than a single sample point as the fundamental unit of discrimination. Inspired by discrepancy measures and two-sample tests between probability distributions, we…

Machine Learning · Computer Science 2017-07-11 Chengtao Li , David Alvarez-Melis , Keyulu Xu , Stefanie Jegelka , Suvrit Sra

Classification problems in security settings are usually contemplated as confrontations in which one or more adversaries try to fool a classifier to obtain a benefit. Most approaches to such adversarial classification problems have focused…

Machine Learning · Statistics 2019-09-25 Roi Naveiro , Alberto Redondo , David Ríos Insua , Fabrizio Ruggeri

In this paper, we employ a game-theoretic model to analyze the interaction between an adversary and a classifier. There are two classes (i.e., positive and negative classes) to which data points can belong. The adversary is interested in…

Cryptography and Security · Computer Science 2019-06-25 Farhad Farokhi

We introduce a novel adversarial model for scheduling with explorable uncertainty. In this model, the processing time of a job can potentially be reduced (by an a priori unknown amount) by testing the job. Testing a job $j$ takes one unit…

Data Structures and Algorithms · Computer Science 2020-05-15 Christoph Dürr , Thomas Erlebach , Nicole Megow , Julie Meißner

Adversarial training has been recently employed for realizing structured semantic segmentation, in which the aim is to preserve higher-level scene structural consistencies in dense predictions. However, as we show, value-based…

Computer Vision and Pattern Recognition · Computer Science 2019-08-08 Laurens Samson , Nanne van Noord , Olaf Booij , Michael Hofmann , Efstratios Gavves , Mohsen Ghafoorian

We introduce a game-theoretic framework to study the hypothesis testing problem, in the presence of an adversary aiming at preventing a correct decision. Specifically, the paper considers a scenario in which an analyst has to decide whether…

Information Theory · Computer Science 2013-04-09 Mauro Barni , Benedetta Tondi

We provide practical, efficient, and nonparametric methods for auditing the fairness of deployed classification and regression models. Whereas previous work relies on a fixed-sample size, our methods are sequential and allow for the…

Machine Learning · Statistics 2025-05-19 Ben Chugg , Santiago Cortes-Gomez , Bryan Wilder , Aaditya Ramdas

Two-sided matchings are an important theoretical tool used to model markets and social interactions. In many real life problems the utility of an agent is influenced not only by their own choices, but also by the choices that other agents…

Computer Science and Game Theory · Computer Science 2012-07-17 Simina Brânzei , Tomasz P. Michalak , Talal Rahwan , Kate Larson , Nicholas R. Jennings

We propose a multi-agent distributed reinforcement learning algorithm that balances between potentially conflicting short-term reward and sparse, delayed long-term reward, and learns with partial information in a dynamic environment. We…

Machine Learning · Computer Science 2022-04-06 Jing Tan , Ramin Khalili , Holger Karl

As learning machines increase their influence on decisions concerning human lives, analyzing their fairness properties becomes a subject of central importance. Yet, our best tools for measuring the fairness of learning systems are rigid…

Machine Learning · Statistics 2022-07-21 David Lopez-Paz , Diane Bouchacourt , Levent Sagun , Nicolas Usunier
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