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We consider how an agent should update her uncertainty when it is represented by a set P of probability distributions and the agent observes that a random variable X takes on value x, given that the agent makes decisions using the minimax…

Artificial Intelligence · Computer Science 2014-07-29 Peter D. Grunwald , Joseph Y. Halpern

In statistical decision theory involving a single decision-maker, an information structure is said to be better than another one if for any cost function involving a hidden state variable and an action variable which is restricted to be…

Optimization and Control · Mathematics 2021-01-07 Ian Hogeboom-Burr , Serdar Yüksel

The ``Gibbs Paradox'' refers to several related questions concerning entropy in thermodynamics and statistical mechanics: whether it is an extensive quantity or not, how it changes when identical particles are mixed, and the proper way to…

Statistical Mechanics · Physics 2009-11-07 Chih-Yuan Tseng , Ariel Caticha

The counterfactual distribution models the effect of the treatment in the untreated group. While most of the work focuses on the expected values of the treatment effect, one may be interested in the whole counterfactual distribution or…

Machine Learning · Statistics 2022-11-04 Diego Martinez-Taboada , Dino Sejdinovic

This paper argues that the principal difference between decision aids and most other types of information systems is the greater reliance of decision aids on fallible algorithms--algorithms that sometimes generate incorrect advice. It is…

Artificial Intelligence · Computer Science 2013-04-08 Paul E. Lehner , Theresa M. Mullin , Marvin S. Cohen

This paper modifies Jaynes's axioms of plausible reasoning and derives the minimum relative entropy principle, Bayes's rule, as well as maximum likelihood from first principles. The new axioms, which I call the Optimum Information…

Information Theory · Computer Science 2011-03-30 Alexis Akira Toda

Recent advancements in algorithms for sequential decision-making under imperfect information have shown remarkable success in large games such as limit- and no-limit poker. These algorithms traditionally formalize the games using the…

Computer Science and Game Theory · Computer Science 2023-12-07 Vojtěch Kovařík , David Milec , Michal Šustr , Dominik Seitz , Viliam Lisý

People naturally bring their prior beliefs to bear on how they interpret the new information, yet few formal models exist for accounting for the influence of users' prior beliefs in interactions with data presentations like visualizations.…

Human-Computer Interaction · Computer Science 2019-01-11 Yea-Seul Kim , Logan A Walls , Peter Krafft , Jessica Hullman

People's decision-making abilities often fail to improve or may even erode when they rely on AI for decision-support, even when the AI provides informative explanations. We argue this is partly because people intuitively seek contrastive…

Human-Computer Interaction · Computer Science 2025-03-20 Zana Buçinca , Siddharth Swaroop , Amanda E. Paluch , Finale Doshi-Velez , Krzysztof Z. Gajos

Decision making is the cognitive process of selecting a course of action among multiple alternatives. As the decision maker belongs to a complex microenvironment (which contains multiple decision makers), has to make a decision where…

Physics and Society · Physics 2024-06-25 Manish Gupta , Arnab Barua , Haralampos Hatzikirou

We consider Bayesian optimization of an expensive-to-evaluate black-box objective function, where we also have access to cheaper approximations of the objective. In general, such approximations arise in applications such as reinforcement…

Machine Learning · Statistics 2016-11-16 Matthias Poloczek , Jialei Wang , Peter I. Frazier

An analyst observes the frequency with which an agent takes actions, but not the frequency with which she takes actions conditional on a payoff relevant state. In this setting, we ask when the analyst can rationalize the agent's choices as…

Theoretical Economics · Economics 2023-07-27 Laura Doval , Ran Eilat

Counterfactual thinking describes a psychological phenomenon that people re-infer the possible results with different solutions about things that have already happened. It helps people to gain more experience from mistakes and thus to…

Machine Learning · Computer Science 2019-08-19 Yue Wang , Yao Wan , Chenwei Zhang , Lixin Cui , Lu Bai , Philip S. Yu

Machine learning promises to revolutionize clinical decision making and diagnosis. In medical diagnosis a doctor aims to explain a patient's symptoms by determining the diseases \emph{causing} them. However, existing diagnostic algorithms…

Machine Learning · Statistics 2020-03-17 Jonathan G. Richens , Ciaran M. Lee , Saurabh Johri

Bayes' theorem incorporates distinct types of information through the likelihood and prior. Direct observations of state variables enter the likelihood and modify posterior probabilities through consistent updating. Information in terms of…

Methodology · Statistics 2024-07-19 Duncan K. Foley , Ellis Scharfenaker

We demonstrate that the principle of maximum relative entropy (ME), used judiciously, can ease the specification of priors in model selection problems. The resulting effect is that models that make sharp predictions are disfavoured,…

Data Analysis, Statistics and Probability · Physics 2009-12-07 Brendon J. Brewer , Matthew J. Francis

Counterfactual decision-making in the face of uncertainty involves selecting the optimal action from several alternatives using causal reasoning. Decision-makers often rank expected potential outcomes (or their corresponding utility and…

Artificial Intelligence · Computer Science 2025-11-17 Yuta Kawakami , Jin Tian

Methods to find counterfactual explanations have predominantly focused on one step decision making processes. In this work, we initiate the development of methods to find counterfactual explanations for decision making processes in which…

Machine Learning · Computer Science 2021-10-28 Stratis Tsirtsis , Abir De , Manuel Gomez-Rodriguez

We consider information filtering, in which we face a stream of items too voluminous to process by hand (e.g., scientific articles, blog posts, emails), and must rely on a computer system to automatically filter out irrelevant items. Such…

Optimization and Control · Mathematics 2015-02-10 Xiaoting Zhao , Peter I. Frazier

Automated reasoning with unstructured natural text is a key requirement for many potential applications of NLP and for developing robust AI systems. Recently, Language Models (LMs) have demonstrated complex reasoning capacities even without…

Computation and Language · Computer Science 2023-06-14 Mehran Kazemi , Quan Yuan , Deepti Bhatia , Najoung Kim , Xin Xu , Vaiva Imbrasaite , Deepak Ramachandran