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For the diagnostic inference under uncertainty Bayesian networks are investigated. The method is based on an adequate uniform representation of the necessary knowledge. This includes both generic and experience-based specific knowledge,…

Artificial Intelligence · Computer Science 2022-10-11 Sebastian Flügge , Sandra Zimmer , Uwe Petersohn

Causal discovery is crucial for understanding complex systems and informing decisions. While observational data can uncover causal relationships under certain assumptions, it often falls short, making active interventions necessary. Current…

Machine Learning · Computer Science 2024-06-18 Yuxuan Wang , Mingzhou Liu , Xinwei Sun , Wei Wang , Yizhou Wang

Confidence estimates are often "detection-like" - driven by positive evidence in favour of a decision. This empirical observation has been interpreted as showing that human metacognition is limited by biases or heuristics. Here, we show…

Neurons and Cognition · Quantitative Biology 2026-05-11 Wiktoria Kozyra , Kevin O'Neill , Stephen M. Fleming

People routinely rely on data to make decisions, but the process can be riddled with biases. We show that patterns in data might be noticed first or more strongly, depending on how the data is visually represented or what the viewer finds…

Human-Computer Interaction · Computer Science 2024-01-18 Cindy Xiong Bearfield , Lisanne van Weelden , Adam Waytz , Steven Franconeri

We argue that the Bayesian paradigm, of a prior which represents the beliefs of the statistician before observing the data, is not feasible in ultra-high-dimensional models. We claim that natural priors that represent the a priori beliefs…

Statistics Theory · Mathematics 2025-08-05 Ya'acov Ritov

Traditional models of opinion dynamics provide a simple approach to understanding human behavior in basic social scenarios. However, when it comes to issues such as polarization and extremism, we require a more nuanced understanding of…

Physics and Society · Physics 2023-03-08 Andre C. R. Martins

Confirmation bias is a cognitive bias that adversely affects management decisions, and mathematical modelling is an aid to its detailed understanding. Bias in opinion update about the value of a parameter is modelled here assuming that…

Other Statistics · Statistics 2022-02-08 Rose D Baker

Understanding how helpful a visualization is from experimental results is difficult because the observed performance is confounded with aspects of the study design, such as how useful the information that is visualized is for the task. We…

Human-Computer Interaction · Computer Science 2023-08-21 Yifan Wu , Ziyang Guo , Michails Mamakos , Jason Hartline , Jessica Hullman

While machine learning approaches to visual emotion recognition offer great promise, current methods consider training and testing models on small scale datasets covering limited visual emotion concepts. Our analysis identifies an important…

Computer Vision and Pattern Recognition · Computer Science 2018-08-08 Rameswar Panda , Jianming Zhang , Haoxiang Li , Joon-Young Lee , Xin Lu , Amit K. Roy-Chowdhury

This work introduces a Bayesian framework that unifies a wide class of opinion dynamics models. In this framework, an individual's opinion on a topic is the expected value of their belief, represented as a random variable with a prior…

Theoretical Economics · Economics 2025-08-25 Yen-Shao Chen , Tauhid Zaman

Counterfactuals -- expressing what might have been true under different circumstances -- have been widely applied in statistics and machine learning to help understand causal relationships. More recently, counterfactuals have begun to…

Human-Computer Interaction · Computer Science 2024-04-08 Arran Zeyu Wang , David Borland , David Gotz

This paper investigates the knowledge of language models from the perspective of Bayesian epistemology. We explore how language models adjust their confidence and responses when presented with evidence with varying levels of informativeness…

Artificial Intelligence · Computer Science 2025-04-29 Minsu Kim , Sangryul Kim , James Thorne

Bayesian models quantify uncertainty and facilitate optimal decision-making in downstream applications. For most models, however, practitioners are forced to use approximate inference techniques that lead to sub-optimal decisions due to…

Machine Learning · Statistics 2019-09-12 Tomasz Kuśmierczyk , Joseph Sakaya , Arto Klami

Bayesian persuasion, a central model in information design, studies how a sender, who privately observes a state drawn from a prior distribution, strategically sends a signal to influence a receiver's action. A key assumption is that both…

Computer Science and Game Theory · Computer Science 2025-05-23 Jingwu Tang , Jiahao Zhang , Fei Fang , Zhiwei Steven Wu

A Bayesian network is a graphical model that encodes probabilistic relationships among variables of interest. When used in conjunction with statistical techniques, the graphical model has several advantages for data analysis. One, because…

Machine Learning · Computer Science 2022-01-11 David Heckerman

Bayesian optimization is a coherent, ubiquitous approach to decision-making under uncertainty, with applications including multi-arm bandits, active learning, and black-box optimization. Bayesian optimization selects decisions (i.e.…

Machine Learning · Computer Science 2023-12-13 Samuel Stanton , Wesley Maddox , Andrew Gordon Wilson

To make decisions we are guided by the evidence we collect, as well as the opinions of friends and neighbors. How do we integrate our private beliefs with information we obtain from our social network? To understand the strategies humans…

Physics and Society · Physics 2020-03-04 Bhargav Karamched , Simon Stolarczyk , Zachary Kilpatrick , Krešimir Josić

A core tension in models of concept learning is that the model must carefully balance the tractability of inference against the expressivity of the hypothesis class. Humans, however, can efficiently learn a broad range of concepts. We…

Computation and Language · Computer Science 2023-10-02 Kevin Ellis

This chapter provides a overview of Bayesian inference, mostly emphasising that it is a universal method for summarising uncertainty and making estimates and predictions using probability statements conditional on observed data and an…

Methodology · Statistics 2010-02-11 Christian P. Robert , Jean-Michel Marin , Judith Rousseau

We analyze a model of learning and belief formation in networks in which agents follow Bayes rule yet they do not recall their history of past observations and cannot reason about how other agents' beliefs are formed. They do so by making…

Statistics Theory · Mathematics 2016-11-29 M. Amin Rahimian , Ali Jadbabaie