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Bayesian models are a powerful tool for studying complex data, allowing the analyst to encode rich hierarchical dependencies and leverage prior information. Most importantly, they facilitate a complete characterization of uncertainty…

Machine Learning · Statistics 2023-04-25 Steven Winter , Trevor Campbell , Lizhen Lin , Sanvesh Srivastava , David B. Dunson

A common approach to learn robotic skills is to imitate a demonstrated policy. Due to the compounding of small errors and perturbations, this approach may let the robot leave the states in which the demonstrations were provided. This…

Robotics · Computer Science 2019-08-08 Emmanuel Pignat , Sylvain Calinon

We develop a statistical framework to evaluate evidence of alleged cheating involving illegal signaling in sports from a forensic perspective. We explain why, instead of a frequentist procedure, a Bayesian approach is called for. We apply…

Applications · Statistics 2025-03-04 Aafko Boonstra , Ronald Meester

The trustworthiness of neural networks is often challenged because they lack the ability to express uncertainty and explain their skill. This can be problematic given the increasing use of neural networks in high stakes decision-making such…

Atmospheric and Oceanic Physics · Physics 2022-12-07 Mariana C. A. Clare , Maike Sonnewald , Redouane Lguensat , Julie Deshayes , Venkatramani Balaji

Human cooperation depends on how accurately we infer others' motives--how much they value fairness, generosity, or self-interest from the choices they make. We model that process in binary dictator games, which isolate moral trade-offs…

Neurons and Cognition · Quantitative Biology 2025-11-12 Gregory Stanley , Jun Zhang , Rick Lewis

We present the first reinforcement-learning model to self-improve its reward-modulated training implemented through a continuously improving "intuition" neural network. An agent was trained how to play the arcade video game Pong with two…

Artificial Intelligence · Computer Science 2016-09-26 Matt Oberdorfer , Matt Abuzalaf

An accurate qualitative and comprehensive assessment of human potential is one of the most important challenges in any company or collective. We apply Bayesian networks for developing more accurate overall estimations of psychological…

Other Statistics · Statistics 2017-10-09 Alexander Litvinenko , Natalya Litvinenko , Orken Mamyrbayev

Causal games are probabilistic graphical models that enable causal queries to be answered in multi-agent settings. They extend causal Bayesian networks by specifying decision and utility variables to represent the agents' degrees of freedom…

Computer Science and Game Theory · Computer Science 2024-06-14 Manuj Mishra , James Fox , Michael Wooldridge

Since the advent of computers, many tasks which required humans to spend a lot of time and energy have been trivialized by the computers' ability to perform repetitive tasks extremely quickly. Playing chess is one such task. It was one of…

Artificial Intelligence · Computer Science 2017-08-22 Rahul Aralikatte , G Srinivasaraghavan

The Bayesian method is noted to produce spuriously high posterior probabilities for phylogenetic trees in analysis of large datasets, but the precise reasons for this over-confidence are unknown. In general, the performance of Bayesian…

Statistics Theory · Mathematics 2018-10-15 Ziheng Yang , Tianqi Zhu

The survey is concerned with the issue of information transmission from experts to non-experts. Two main approaches to the use of experts can be traced. According to the game-theoretic approach expertise is a case of asymmetric information…

Probability · Mathematics 2008-07-21 Irene Valsecchi

Learning or estimating game models from data typically entails inducing separate models for each setting, even if the games are parametrically related. In empirical mechanism design, for example, this approach requires learning a new game…

Computer Science and Game Theory · Computer Science 2026-05-05 Madelyn Gatchel , Michael P. Wellman

Optimization is becoming increasingly common in scientific and engineering domains. Oftentimes, these problems involve various levels of stochasticity or uncertainty in generating proposed solutions. Therefore, optimization in these…

Machine Learning · Statistics 2020-06-05 Peter D. Tonner , Daniel V. Samarov , A. Gilad Kusne

Research in reinforcement learning has produced algorithms for optimal decision making under uncertainty that fall within two main types. The first employs a Bayesian framework, where optimality improves with increased computational time.…

Machine Learning · Statistics 2011-09-22 Christos Dimitrakakis

Bayesian optimization is a popular tool for data-efficient optimization of expensive objective functions. In real-life applications like engineering design, the designer often wants to take multiple objectives as well as input uncertainty…

Artificial Intelligence · Computer Science 2022-02-28 J. Qing , I. Couckuyt , T. Dhaene

Combinatorial games lead to several interesting, clean problems in algorithms and complexity theory, many of which remain open. The purpose of this paper is to provide an overview of the area to encourage further research. In particular, we…

Computational Complexity · Computer Science 2009-09-25 Erik D. Demaine , Robert A. Hearn

We study an evolutionary game of chance in which the probabilities for different outcomes (e.g., heads or tails) depend on the amount wagered on those outcomes. The game is perhaps the simplest possible probabilistic game in which…

Physics and Society · Physics 2007-08-29 Dmitriy Cherkashin , J. Doyne Farmer , Seth Lloyd

The Bayesian statistical paradigm uses the language of probability to express uncertainty about the phenomena that generate observed data. Probability distributions thus characterize Bayesian analysis, with the rules of probability used to…

Computation · Statistics 2020-12-08 Gael M. Martin , David T. Frazier , Christian P. Robert

This paper presents an in-depth statistical analysis of an experiment designed to measure the extent to which players in a simple game behave according to a popular behavioral economic model. The p-beauty contest is a multi-player number…

Applications · Statistics 2014-09-18 P. Richard Hahn , Indranil Goswami , Carl Mela

We study learning dynamics induced by strategic agents who repeatedly play a game with an unknown payoff-relevant parameter. In this dynamics, a belief estimate of the parameter is repeatedly updated given players' strategies and realized…

Computer Science and Game Theory · Computer Science 2021-09-06 Manxi Wu , Saurabh Amin , Asuman Ozdaglar