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Summary statistics of the likelihood, such as the Bayesian evidence, offer a principled way of comparing models and assessing tension between, or within, the results of physical experiments. Noisy realisations of the data induce scatter in…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-30 B. Joachimi , F. Köhlinger , W. Handley , P. Lemos

Current models of human dynamics, used from risk assessment to communications, assume that human actions are randomly distributed in time and thus well approximated by Poisson processes. We provide direct evidence that for five human…

Physics and Society · Physics 2009-11-11 A. Vazquez , J. Gama Oliveira , Z. Dezso , K. -I. Goh , I. Kondor , A. -L. Barabasi

Human activity patterns display a bursty dynamics, with interevent times following a heavy tailed distribution. This behavior has been recently shown to be rooted in the fact that humans assign their active tasks different priorities, a…

Physics and Society · Physics 2009-11-11 Alexei Vazquez

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

The idea that the brain is a probabilistic (Bayesian) inference machine, continuously trying to figure out the hidden causes of its inputs, has become very influential in cognitive (neuro)science over recent decades. Here I present a…

Neurons and Cognition · Quantitative Biology 2024-02-15 Eelke Spaak

Human networks greatly impact important societal outcomes, including wealth and health inequality, poverty, and bullying. As such, understanding human networks is critical to learning how to promote favorable societal outcomes. As a step…

Social and Information Networks · Computer Science 2026-02-19 Jonathan Skaggs , Jacob W. Crandall

The nested error regression model is a useful tool for analyzing clustered (grouped) data, and is especially used in small area estimation. The classical nested error regression model assumes normality of random effects and error terms, and…

Methodology · Statistics 2016-05-16 Shonosuke Sugasawa , Tatsuya Kubokawa

A recent approach based on Bayesian inverse planning for the "theory of mind" has shown good performance in modeling human cognition. However, perfect inverse planning differs from human cognition during one kind of complex tasks due to…

Artificial Intelligence · Computer Science 2019-11-21 Ryo Nakahashi , Seiji Yamada

We consider the problem of aggregating predictions or measurements from a set of human forecasters, models, sensors or other instruments which may be subject to bias or miscalibration and random heteroscedastic noise. We propose a Bayesian…

Statistical Finance · Quantitative Finance 2021-01-12 Chirag Nagpal , Robert E. Tillman , Prashant Reddy , Manuela Veloso

Recent studies claim that human behavior in a two-armed Bernoulli bandit (TABB) task is described by positivity and confirmation biases, implying that humans do not integrate new information objectively. However, we find that even if the…

Artificial Intelligence · Computer Science 2025-05-14 Prakhar Godara

Scientific theories can often be formulated using equality and order constraints on the relative effects in a linear regression model. For example, it may be expected that the effect of the first predictor is larger than the effect of the…

Methodology · Statistics 2019-05-01 Joris Mulder , Anton Olsson-Collentine

We consider heteroscedastic nonparametric regression models, when both the mean function and variance function are unknown and to be estimated with nonparametric approaches. We derive convergence rates of posterior distributions for this…

Statistics Theory · Mathematics 2010-10-07 Yuao Hu

The deployment of pre-trained perception models in novel environments often leads to performance degradation due to distributional shifts. Although recent artificial intelligence approaches for metacognition use logical rules to…

In this paper, we conduct a simulation study with subject-level data to evaluate conventional meta-regression approaches (study-level random, fixed, and mixed effects) against seven methodology specifications new to meta-regressions that…

Econometrics · Economics 2025-07-18 Ali Habibnia , Jonathan Gendron

What happens to the optimal interpretation of noisy data when there exists more than one equally plausible interpretation of the data? In a Bayesian model-learning framework the answer depends on the prior expectations of the dynamics of…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Gurinder Singh Atwal , William Bialek

Counterfactual explanations utilize feature perturbations to analyze the outcome of an original decision and recommend an actionable recourse. We argue that it is beneficial to provide several alternative explanations rather than a single…

Machine Learning · Computer Science 2023-01-24 Natraj Raman , Daniele Magazzeni , Sameena Shah

It is generally appreciated that a frequentist analysis of a group sequential trial must in order to avoid inflating type I error account for the fact that one or more interim analyses were performed. It is also to a lesser extent realised…

Methodology · Statistics 2025-12-12 Simon Bang Kristensen , Erik Thorlund Parner

Recent research revealed a considerable lack of reliability for user feedback when interacting with adaptive systems, often denoted as user noise or human uncertainty. Moreover, this lack of reliability holds striking impacts for the…

Human-Computer Interaction · Computer Science 2018-05-01 Kevin Jasberg , Sergej Sizov

Selection bias arises when the probability that an observation enters a dataset depends on variables related to the quantities of interest, leading to systematic distortions in estimation and uncertainty quantification. For example, in…

This paper proposes a new general approach based on Bayesian networks to model the human behaviour. This approach represents human behaviour with probabilistic cause-effect relations based on knowledge, but also with conditional…

Artificial Intelligence · Computer Science 2016-05-20 Khadija Tijani , Stephane Ploix , Benjamin Haas , Julie Dugdale , Quoc Dung Ngo
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