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In reinforcement learning, robust policies for high-stakes decision-making problems with limited data are usually computed by optimizing the percentile criterion, which minimizes the probability of a catastrophic failure. Unfortunately,…

机器学习 · 计算机科学 2021-03-01 Elita A. Lobo , Mohammad Ghavamzadeh , Marek Petrik

One way to make decisions under uncertainty is to select an optimal option from a possible range of options, by maximizing the expected utilities derived from a probability model. However, under severe uncertainty, identifying precise…

统计理论 · 数学 2024-03-06 Nawapon Nakharutai , Sébastien Destercke , Matthias C. M. Troffaes

Robust Markov Decision Processes (MDPs) address environmental shift through distributionally robust optimization (DRO) by finding an optimal worst-case policy within an uncertainty set of transition kernels. However, standard DRO approaches…

机器学习 · 统计学 2026-03-10 Akram S. Awad , Shihab Ahmed , Yue Wang , George K. Atia

A central problem in proof-theory is that of finding criteria for identity of proofs, that is, for when two distinct formal derivations can be taken as denoting the same logical argument. In the literature one finds criteria which are…

逻辑 · 数学 2021-10-07 Paolo Pistone

Performative prediction aims to model scenarios where predictive outcomes subsequently influence the very systems they target. The pursuit of a performative optimum (PO) -- minimizing performative risk -- is generally reliant on modeling of…

机器学习 · 计算机科学 2025-02-11 Songkai Xue , Yuekai Sun

Sequential decision problems are widely studied across many areas of science. A key challenge when learning policies from historical data - a practice commonly referred to as off-policy learning - is how to ``identify'' the impact of a…

统计方法学 · 统计学 2025-01-03 Joakim Blach Andersen , Qingyuan Zhao

Opinion dynamics has recently been modeled from a game-theoretic perspective, where opinion updates are captured by individuals' cost functions representing their motivations. Conventional formulations aggregate multiple motivations into a…

系统与控制 · 电气工程与系统科学 2025-11-11 Yuheng Luo , Chuanzhe Zhang , Qingsong Liu , Hai Zhu , Wenjun Mei

In this work we use Equal Oppportunity (EO) doctrines from political philosophy to make explicit the normative judgements embedded in different conceptions of algorithmic fairness. We contrast formal EO approaches that narrowly focus on…

计算机与社会 · 计算机科学 2022-07-12 Falaah Arif Khan , Eleni Manis , Julia Stoyanovich

This paper discusses a novel probabilistic approach for the design of robust model predictive control (MPC) laws for discrete-time linear systems affected by parametric uncertainty and additive disturbances. The proposed technique is based…

系统与控制 · 计算机科学 2013-07-16 Giuseppe C. Calafiore , Lorenzo Fagiano

In an empirical logic, an experimentally verifiable proposition P relating to a quantum system is assigned the value of either true of false if the system is in the pure state that belongs or, respectively, does not belong to the Hilbert…

量子物理 · 物理学 2019-05-01 Arkady Bolotin

This paper addresses a key limitation in existing counterfactual inference methods for Markov Decision Processes (MDPs). Current approaches assume a specific causal model to make counterfactuals identifiable. However, there are usually many…

人工智能 · 计算机科学 2026-05-25 Jessica Lally , Milad Kazemi , Nicola Paoletti

Objectives: This study provides an effective model selection method based on the empirical likelihood approach for constructing summary receiver operating characteristic (sROC) curves from meta-analyses of diagnostic studies. Methods: We…

统计方法学 · 统计学 2018-03-13 ShengLi Tzeng , Chun-Shu Chen , Yu-Fen Li , Jin-Hua Chen

In frequently repeated matching scenarios, individuals may require diversification in their choices. Therefore, when faced with a set of potential outcomes, each individual may have an ideal lottery over outcomes that represents their…

计算机科学与博弈论 · 计算机科学 2024-04-29 Rasoul Ramezanian

Any probabilistic model of a problem is based on assumptions which, if violated, invalidate the model. Users of probability based decision aids need to be alerted when cases arise that are not covered by the aid's model. Diagnosis of model…

人工智能 · 计算机科学 2013-03-26 Kathryn Blackmond Laskey

Prediction sets can wrap around any ML model to cover unknown test outcomes with a guaranteed probability. Yet, it remains unclear how to use them optimally for downstream decision-making. Here, we propose a decision-theoretic framework…

机器学习 · 统计学 2026-02-10 Tao Wang , Edgar Dobriban

This paper offers a critical view of the "worst-case" approach that is the cornerstone of robust control design. It is our contention that a blind acceptance of worst-case scenarios may lead to designs that are actually more dangerous than…

最优化与控制 · 数学 2013-11-05 Xinjia Chen , Jorge Aravena , Kemin Zhou

Humans currently use arguments for explaining choices which are already made, or for evaluating potential choices. Each potential choice has usually pros and cons of various strengths. In spite of the usefulness of arguments in a decision…

人工智能 · 计算机科学 2012-07-19 Leila Amgoud , Henri Prade

The Condorcet Jury Theorem or the Miracle of Aggregation are frequently invoked to ensure the competence of some aggregate decision-making processes. In this article we explore an estimation of the prior probability of the thesis predicted…

理论经济学 · 经济学 2022-06-22 Álvaro Romaniega

We study a generic class of \emph{random optimization problems} (rops) and their typical behavior. The foundational aspects of the random duality theory (RDT), associated with rops, were discussed in \cite{StojnicRegRndDlt10}, where it was…

概率论 · 数学 2023-12-04 Mihailo Stojnic

In large-scale multiple hypothesis testing problems, the false discovery exceedance (FDX) provides a desirable alternative to the widely used false discovery rate (FDR) when the false discovery proportion (FDP) is highly variable. We…

统计方法学 · 统计学 2023-04-21 Pallavi Basu , Luella Fu , Alessio Saretto , Wenguang Sun