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Bayesian regret information


In stochastic game theory, Bayesian regret is the expected difference ("regret") between the utility of a Bayesian strategy and that of the optimal strategy (the one with the highest expected payoff).

The term Bayesian refers to Thomas Bayes (1702–1761), who proved a special case of what is now called Bayes' theorem, who provided the first mathematical treatment of a non-trivial problem of statistical data analysis using what is now known as Bayesian inference.

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Bayesian regret

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In stochastic game theory, Bayesian regret is the expected difference ("regret") between the utility of a Bayesian strategy and that of the optimal strategy...

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Thompson sampling

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property, one can translate regret bounds established for UCB algorithms to Bayesian regret bounds for Thompson sampling or unify regret analysis across both...

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Bayesian optimization

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Bayesian optimization is a sequential design strategy for global optimization of black-box functions that does not assume any functional forms. It is usually...

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Loss function

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Savage argued that using non-Bayesian methods such as minimax, the loss function should be based on the idea of regret, i.e., the loss associated with...

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List of things named after Thomas Bayes

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fallback Bayesian quadrature – Bayesian quadrature is a method for numerical integration popular in statistics and machine learning Bayesian regret – expected...

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Bayesian persuasion

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can be solved efficiently as a regret minimization problem. Kamenica, Emir; Gentzkow, Matthew (2011-10-01). "Bayesian Persuasion". American Economic Review...

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Statistical hypothesis test

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committed to extensive consideration of inverse [AKA Bayesian] probabilities..." It was acknowledged, with regret, that a priori probability distributions were...

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Social utility efficiency

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units have an arbitrary magnitude, making it difficult to compare Bayesian regret figures Huang, John (January 11, 2020). "Alternative Voting Methods...

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Leonard Jimmie Savage

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Not to be confused with his younger brother, also a Bayesian statistician, I. Richard Savage. Leonard Jimmie Savage (born Leonard Ogashevitz; 20 November...

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Generalized linear model

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method on many statistical computing packages. Other approaches, including Bayesian regression and least squares fitting to variance stabilized responses,...

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List of statistics articles

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theorem Bayesian – disambiguation Bayesian average Bayesian brain Bayesian econometrics Bayesian experimental design Bayesian game Bayesian inference...

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Optimal decision

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1970. ISBN 0-07-016242-5. James O. Berger Statistical Decision Theory and Bayesian Analysis. Second Edition. 1980. Springer Series in Statistics. ISBN 0-387-96098-8...

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Expected utility hypothesis

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requiring scenario analysis (as in minimax or minimax regret), or being less sensitive to assumptions. Bayesian approaches to probability treat it as a degree...

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Monty Hall problem

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– Pick a Door Principle of restricted choice – similar application of Bayesian updating in contract bridge Boy or Girl paradox Sleeping Beauty problem...

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Cognitive dissonance

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account of the mind proposes that perception actively involves the use of a Bayesian hierarchy of acquired prior knowledge, which primarily serves the role...

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List of cognitive biases

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21, 2005) Talboy A, Schneider S (2022-03-17). "Reference Dependence in Bayesian Reasoning: Value Selection Bias, Congruence Effects, and Response Prompt...

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Pragmatics

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of the act of assertion. Over the past decade, many probabilistic and Bayesian methods have become very popular in the modelling of pragmatics, of which...

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Caroline Ellison

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She says she and her siblings were exposed to economics early, learning Bayesian statistics in primary school. At age 8, Ellison gave her father an economic...

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Reinforcement learning from human feedback

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ignored (help) Wilson, Aaron; Fern, Alan; Tadepalli, Prasad (2012). "A Bayesian Approach for Policy Learning from Trajectory Preference Queries". Advances...

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Principal component analysis

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forward-backward greedy search and exact methods using branch-and-bound techniques, Bayesian formulation framework. The methodological and theoretical developments...

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Psychology of reasoning

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model. Subsequently, some researchers opted for non-monotonic logic and Bayesian probability. Research on mental models and reasoning has led to the suggestion...

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Risk

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was proposed by Kaplan & Garrick (1981). This definition is preferred in Bayesian analysis, which sees risk as the combination of events and uncertainties...

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Pegasus Mail

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encoding (especially with UTF-8), phishing protection, and a full-fledged Bayesian spam filter. Pegasus Mail for Windows can be used as a standalone mail...

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Autoencoder

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Variational autoencoders (VAEs) belong to the families of variational Bayesian methods. Despite the architectural similarities with basic autoencoders...

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