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The maximum entropy principle advocates to evaluate events' probabilities using a distribution that maximizes entropy among those that satisfy certain expectations' constraints. Such principle can be generalized for arbitrary decision…

机器学习 · 统计学 2021-12-16 Santiago Mazuelas , Yuan Shen , Aritz Pérez

The estimation of categorical distributions under marginal constraints summarizing some sample from a population in the most-generalizable way is key for many machine-learning and data-driven approaches. We provide a parameter-agnostic…

高能物理 - 理论 · 物理学 2023-11-17 Orestis Loukas , Ho Ryun Chung

Iterative self-improvement fine-tunes an autoregressive large language model (LLM) on reward-verified outputs generated by the LLM itself. In contrast to the empirical success of self-improvement, the theoretical foundation of this…

机器学习 · 计算机科学 2026-03-23 Chenruo Liu , Yijun Dong , Yiqiu Shen , Qi Lei

Contrastive Representation Learning (CRL) has achieved strong empirical success in multiple machine learning disciplines, yet its theoretical sample complexity remains poorly understood. Existing analyses usually assume that input tuples…

机器学习 · 统计学 2026-05-29 Nong Minh Hieu , Antoine Ledent

We study the problem of learning robust classifiers where the classifier will receive a perturbed input. Unlike robust PAC learning studied in prior work, here the clean data and its label are also adversarially chosen. We formulate this…

机器学习 · 计算机科学 2026-03-02 Sajad Ashkezari

Adversarial attack perturbs an image with an imperceptible noise, leading to incorrect model prediction. Recently, a few works showed inherent bias associated with such attack (robustness bias), where certain subgroups in a dataset (e.g.…

计算机视觉与模式识别 · 计算机科学 2022-05-06 Gaurav Kumar Nayak , Ruchit Rawal , Rohit Lal , Himanshu Patil , Anirban Chakraborty

When deploying a single predictor across multiple subpopulations, we propose a fundamentally different approach: interpreting group fairness as a bargaining problem among subpopulations. This game-theoretic perspective reveals that existing…

机器学习 · 统计学 2026-02-05 Jiwoo Han , Moulinath Banerjee , Yuekai Sun

The group testing problem concerns discovering a small number of defective items within a large population by performing tests on pools of items. A test is positive if the pool contains at least one defective, and negative if it contains no…

信息论 · 计算机科学 2026-05-15 Matthew Aldridge , Oliver Johnson , Jonathan Scarlett

Primarily motivated by the drug development process, several publications have now presented methodology for the design of multi-arm multi-stage experiments with normally distributed outcome variables of known variance. Here, we extend…

统计方法学 · 统计学 2017-12-04 Michael Grayling , James Wason , Adrian Mander

Effective implementations of sampling-based probabilistic inference often require manually constructed, model-specific proposals. Inspired by recent progresses in meta-learning for training learning agents that can generalize to unseen…

人工智能 · 计算机科学 2019-01-03 Tongzhou Wang , Yi Wu , David A. Moore , Stuart J. Russell

Machine learning is now ubiquitous in societal decision-making, for example in evaluating job candidates or loan applications, and it is increasingly important to take into account how classified agents will react to the learning…

机器学习 · 计算机科学 2025-08-08 Dravyansh Sharma , Alec Sun

This work introduces a formulation of model predictive control (MPC) which adaptively reasons about the complexity of the model based on the task while maintaining feasibility and stability guarantees. Existing MPC implementations often…

机器人学 · 计算机科学 2024-11-07 Joseph Norby , Ardalan Tajbakhsh , Yanhao Yang , Aaron M. Johnson

In this work, we perform safety analysis of linear dynamical systems with uncertainties. Instead of computing a conservative overapproximation of the reachable set, our approach involves computing a statistical approximate reachable set. As…

系统与控制 · 电气工程与系统科学 2021-09-17 Bineet Ghosh , Parasara Sridhar Duggirala

This paper addresses the challenge of solving Constrained Markov Decision Processes (CMDPs) with $d > 1$ constraints when the transition dynamics are unknown, but samples can be drawn from a generative model. We propose a model-based…

机器学习 · 计算机科学 2025-03-11 Max Buckley , Konstantinos Papathanasiou , Andreas Spanopoulos

We consider controller synthesis for stochastic and partially unknown environments in which safety is essential. Specifically, we abstract the problem as a Markov decision process in which the expected performance is measured using a cost…

软件工程 · 计算机科学 2015-10-21 Sebastian Junges , Nils Jansen , Christian Dehnert , Ufuk Topcu , Joost-Pieter Katoen

We develop a fast and accurate grouped penalized credible region approach for variable selection and prediction in Bayesian high-dimensional linear regression. Most existing Bayesian methods either are subject to high computational costs…

统计方法学 · 统计学 2026-01-26 Weichang Yu , Khue-Dung Dang

As learning solutions reach critical applications in social, industrial, and medical domains, the need to curtail their behavior has become paramount. There is now ample evidence that without explicit tailoring, learning can lead to biased,…

机器学习 · 计算机科学 2021-02-19 Luiz F. O. Chamon , Alejandro Ribeiro

We study the problem of learning to predict the next state of a dynamical system when the underlying evolution function is unknown. Unlike previous work, we place no parametric assumptions on the dynamical system, and study the problem from…

机器学习 · 计算机科学 2025-06-04 Vinod Raman , Unique Subedi , Ambuj Tewari

We describe a generalization of the concept of a pc presentation that applies to groups with a nontrivial solvable radical. Such a representation can be much more efficient in terms of memory use and even of arithmetic, than permuattion and…

群论 · 数学 2025-09-25 Alexander Hulpke

In this paper we show that for every congruent monotileable amenable group $G$ and for every metrizable Choquet simplex $K$, there exists a minimal $G$-subshift, which is free on a full measure set, whose set of invariant probability…

动力系统 · 数学 2017-09-26 Paulina Cecchi , María Isabel Cortez
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