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Spreadsheets are ubiquitous in business with the financial sector particularly heavily reliant on the technology. It is known that the level of spreadsheet error can be high and that it is often necessary to review spreadsheets based on a…

Software Engineering · Computer Science 2009-08-11 Leslie Bradley , Kevin McDaid

Bayesian statistics has gained great momentum since the computational developments of the 1990s. Gradually, advances in Bayesian methodology and software have made Bayesian techniques much more accessible to applied statisticians and, in…

Computation · Statistics 2020-11-04 Jim Albert , Jingchen Hu

There is a long history in game theory on the topic of Bayesian or "rational" learning, in which each player maintains beliefs over a set of alternative behaviours, or types, for the other players. This idea has gained increasing interest…

Artificial Intelligence · Computer Science 2016-03-03 Stefano V. Albrecht , Jacob W. Crandall , Subramanian Ramamoorthy

We propose a Bayesian network model to make inferences and predictions about cardiovascular risk. Both the structure and the probability tables in the underlying model are built using a large dataset collected in Spain from annual work…

Applications · Statistics 2022-04-01 J. M. Ordovas , D. Rios Insua , A. Santos-Lozano , A. Lucia , A. Torres , A. Kosgodagan , J. M. Camacho

We study the stability of posterior predictive inferences to the specification of the likelihood model and perturbations of the data generating process. In modern big data analyses, useful broad structural judgements may be elicited from…

Methodology · Statistics 2024-04-30 Jack Jewson , Jim Q. Smith , Chris Holmes

It is suggested that an AI inference system should reflect an inference policy that is tailored to the domain of problems to which it is applied -- and furthermore that an inference policy need not conform to any general theory of rational…

Artificial Intelligence · Computer Science 2013-04-08 Paul E. Lehner

Phase diagrams serve as a highly informative tool for materials design, encapsulating information about the phases that a material can manifest under specific conditions. In this work, we develop a method in which Bayesian inference is…

Materials Science · Physics 2023-09-06 Timofei Miryashkin , Olga Klimanova , Vladimir Ladygin , Alexander Shapeev

Controlled experiments (A/B tests or randomized field experiments) are the de facto standard to make data-driven decisions when implementing changes and observing customer responses. The methodology to analyze such experiments should be…

Applications · Statistics 2020-03-06 Shafi Kamalbasha , Manuel J. A. Eugster

Gaussian graphical models provide a powerful framework to reveal the conditional dependency structure between multivariate variables. The process of uncovering the conditional dependency network is known as structure learning. Bayesian…

Methodology · Statistics 2024-07-30 Lucas Vogels , Reza Mohammadi , Marit Schoonhoven , S. Ilker Birbil

A wide range of machine learning algorithms iteratively add data to the training sample. Examples include semi-supervised learning, active learning, multi-armed bandits, and Bayesian optimization. We embed this kind of data addition into…

Machine Learning · Statistics 2024-06-25 Julian Rodemann

The probabilistic predictions of quantum theory are conventionally obtained from a special probabilistic axiom. But that is unnecessary because all the practical consequences of such predictions follow from the remaining, non-probabilistic,…

Quantum Physics · Physics 2009-10-31 David Deutsch

We consider the problem of how decision making can be fair when the underlying probabilistic model of the world is not known with certainty. We argue that recent notions of fairness in machine learning need to explicitly incorporate…

Machine Learning · Computer Science 2018-11-06 Christos Dimitrakakis , Yang Liu , David Parkes , Goran Radanovic

The statistical procedure used in the search for the Higgs boson is investigated in this paper. A Bayesian hierarchical model is proposed that uses the information provided by the theory in the analysis of the data generated by the particle…

Applications · Statistics 2016-05-10 Shirin Golchi , Richard Lockhart

Clinical trials usually involve sequential patient entry. When designing a clinical trial, it is often desirable to include a provision for interim analyses of accumulating data with the potential for stopping the trial early. We review…

Methodology · Statistics 2023-03-13 Tianjian Zhou , Yuan Ji

Theory refinement is the task of updating a domain theory in the light of new cases, to be done automatically or with some expert assistance. The problem of theory refinement under uncertainty is reviewed here in the context of Bayesian…

Artificial Intelligence · Computer Science 2013-03-26 Wray L. Buntine

The review presents the basics of quantum decision theory, with the emphasis on temporary processes in decision making. The aim is to explain the principal points of the theory. The difference of an operationally testable rational choice…

Artificial Intelligence · Computer Science 2020-07-15 V. I. Yukalov

We address the fundamental problem of selection under uncertainty by modeling it from the perspective of Bayesian persuasion. In our model, a decision maker with imperfect information always selects the option with the highest expected…

Computer Science and Game Theory · Computer Science 2024-10-16 Siddhartha Banerjee , Kamesh Munagala , Yiheng Shen , Kangning Wang

Decision-making is a cognitively intensive task that requires synthesizing relevant information from multiple unstructured sources, weighing competing factors, and incorporating subjective user preferences. Existing methods, including large…

Computation and Language · Computer Science 2026-04-21 Akriti Jain , Anish Mulay , Divyansh Verma , Aishani Pandey , Pritika Ramu , Aparna Garimella

Bayesian methods are useful for statistical inference. However, real-world problems can be challenging using Bayesian methods when the data analyst has only limited prior knowledge. In this paper we consider a class of problems, called…

Methodology · Statistics 2019-11-20 Yixuan Qiu , Lingsong Zhang , Chuanhai Liu

We target the problem of accuracy and robustness in causal inference from finite data sets. Some state-of-the-art algorithms produce clear output complete with solid theoretical guarantees but are susceptible to propagating erroneous…

Artificial Intelligence · Computer Science 2012-10-19 Tom Claassen , Tom Heskes