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Neural networks have achieved remarkable performance across various problem domains, but their widespread applicability is hindered by inherent limitations such as overconfidence in predictions, lack of interpretability, and vulnerability…

Machine Learning · Statistics 2023-09-29 Julyan Arbel , Konstantinos Pitas , Mariia Vladimirova , Vincent Fortuin

A recent paper presents the "false confidence theorem" (FCT) which has potentially broad implications for statistical inference using Bayesian posterior uncertainty. This theorem says that with arbitrarily large (sampling/frequentist)…

Methodology · Statistics 2018-07-18 Iain Carmichael , Jonathan P Williams

The success of methods based on artificial neural networks in creating intelligent machines seems like it might pose a challenge to explanations of human cognition in terms of Bayesian inference. We argue that this is not the case, and that…

Machine Learning · Computer Science 2023-11-20 Thomas L. Griffiths , Jian-Qiao Zhu , Erin Grant , R. Thomas McCoy

A comprehensive artificial intelligence system needs to not only perceive the environment with different `senses' (e.g., seeing and hearing) but also infer the world's conditional (or even causal) relations and corresponding uncertainty.…

Machine Learning · Statistics 2021-01-07 Hao Wang , Dit-Yan Yeung

A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

Artificial Intelligence · Computer Science 2018-11-14 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

Simulation models, in particular agent-based models, are gaining popularity in economics. The considerable flexibility they offer, as well as their capacity to reproduce a variety of empirically observed behaviours of complex systems, give…

Econometrics · Economics 2024-02-20 Joel Dyer , Patrick Cannon , J. Doyne Farmer , Sebastian Schmon

Bayesian inference on structured models typically relies on the ability to infer posterior distributions of underlying hidden variables. However, inference in implicit models or complex posterior distributions is hard. A popular tool for…

Machine Learning · Statistics 2016-12-16 Theofanis Karaletsos

Human cognition excels at transcending sensory input and forming latent representations that structure our understanding of the world. While Large Language Model (LLM) agents demonstrate emergent reasoning and decision-making abilities,…

Machine Learning · Computer Science 2026-01-22 Hengguan Huang , Xing Shen , Songtao Wang , Lingfa Meng , Dianbo Liu , David Alejandro Duchene , Hao Wang , Samir Bhatt

As simulating complex biological processes become more important for modern medicine, new ways to compute this increasingly challenging data are necessary. In this paper, one of the most extensive volunteer-based distributed computing…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-02 Sven Hofmann

We present an overview of the literature on trust in AI and AI trustworthiness and argue for the need to distinguish these concepts more clearly and to gather more empirically evidence on what contributes to people s trusting behaviours. We…

Artificial Intelligence · Computer Science 2023-09-20 Andreas Duenser , David M. Douglas

We address the problem of reconstructing quantum theory from the perspective of an agent who makes bets about the outcomes of possible experiments. We build a general Bayesian framework that can be used to organize the agent's beliefs and…

Quantum Physics · Physics 2020-10-28 Giulio Chiribella , Adán Cabello , Matthias Kleinmann , Markus P. Müller

We present extensive empirical evidence showing that current Bayesian simulation-based inference algorithms can produce computationally unfaithful posterior approximations. Our results show that all benchmarked algorithms -- (Sequential)…

Machine Learning · Statistics 2022-12-06 Joeri Hermans , Arnaud Delaunoy , François Rozet , Antoine Wehenkel , Volodimir Begy , Gilles Louppe

We harness the power of Bayesian emulation techniques, designed to aid the analysis of complex computer models, to examine the structure of complex Bayesian analyses themselves. These techniques facilitate robust Bayesian analyses and/or…

Methodology · Statistics 2017-03-06 Ian Vernon , John Paul Gosling

The application of Bayesian networks (BNs) to cognitive assessment and intelligent tutoring systems poses new challenges for model construction. When cognitive task analyses suggest constructing a BN with several latent variables, empirical…

Artificial Intelligence · Computer Science 2013-01-18 David M. Williamson , Russell Almond , Robert Mislevy

In this Chapter, I will explore the use of modeling in order to understand how Science works. I will discuss the modeling of scientific communities, providing a general, non-comprehensive overview of existing models, with a focus on the use…

Physics and Society · Physics 2012-07-24 Andre C. R. Martins

The widespread utilization of AI systems has drawn attention to the potential impacts of such systems on society. Of particular concern are the consequences that prediction errors may have on real-world scenarios, and the trust humanity…

Computers and Society · Computer Science 2021-06-22 Mary Roszel , Robert Norvill , Jean Hilger , Radu State

A novel information-theoretic approach is proposed to assess the global practical identifiability of Bayesian statistical models. Based on the concept of conditional mutual information, an estimate of information gained for each model…

Methodology · Statistics 2024-04-22 Sahil Bhola , Karthik Duraisamy

We present a methodology for representing probabilistic relationships in a general-equilibrium economic model. Specifically, we define a precise mapping from a Bayesian network with binary nodes to a market price system where consumers and…

Computer Science and Game Theory · Computer Science 2013-02-18 David M. Pennock , Michael P. Wellman

Understanding the uncertainty of a neural network's (NN) predictions is essential for many purposes. The Bayesian framework provides a principled approach to this, however applying it to NNs is challenging due to large numbers of parameters…

Machine Learning · Statistics 2020-02-27 Tim Pearce , Felix Leibfried , Alexandra Brintrup , Mohamed Zaki , Andy Neely

Bayesian approaches to learn the graphical structure of Bayesian Belief Networks (BBNs) from databases share the assumption that the database is complete, that is, no entry is reported as unknown. Attempts to relax this assumption involve…

Artificial Intelligence · Computer Science 2013-02-08 Marco Ramoni , Paola Sebastiani