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This paper examines Bayesian belief network inference using simulation as a method for computing the posterior probabilities of network variables. Specifically, it examines the use of a method described by Henrion, called logic sampling,…

Artificial Intelligence · Computer Science 2013-04-11 Homer L. Chin , Gregory F. Cooper

Modeling the temporal behavior of data is of primordial importance in many scientific and engineering fields. Baseline methods assume that both the dynamic and observation equations follow linear-Gaussian models. However, there are many…

Machine Learning · Computer Science 2020-11-03 Xavier Alameda-Pineda , Vincent Drouard , Radu Horaud

We develop a Bayesian approach called Bayesian projected calibration to address the problem of calibrating an imperfect computer model using observational data from a complex physical system. The calibration parameter and the physical…

Methodology · Statistics 2019-02-08 Fangzheng Xie , Yanxun Xu

Approximate Bayesian computation allows for statistical analysis in models with intractable likelihoods. In this paper we consider the asymptotic behaviour of the posterior distribution obtained by this method. We give general results on…

Methodology · Statistics 2018-05-09 David T. Frazier , Gael M. Martin , Christian P. Robert , Judith Rousseau

We study the problem of identifying individuals based on their characteristic gaze patterns during reading of arbitrary text. The motivation for this problem is an unobtrusive biometric setting in which a user is observed during access to a…

Machine Learning · Computer Science 2016-07-20 Ahmed Abdelwahab , Reinhold Kliegl , Niels Landwehr

Traffic flow count data in networks arise in many applications, such as automobile or aviation transportation, certain directed social network contexts, and Internet studies. Using an example of Internet browser traffic flow through…

Methodology · Statistics 2022-06-07 Xi Chen , Kaoru Irie , David Banks , Robert Haslinger , Jewell Thomas , Mike West

Humans' ability to detect and locate salient objects on images is remarkably fast and successful. Performing this process by using eye tracking equipment is expensive and cannot be easily applied, and computer modeling of this human…

Computer Vision and Pattern Recognition · Computer Science 2014-03-03 Hamdi Yalin Yalic

Perceptual judgments of sequential stimuli are systematically biased by prior expectations and by the temporal structure of sensory input. In haptic discrimination tasks, these effects often manifest as time-order asymmetries, whereby the…

Neurons and Cognition · Quantitative Biology 2026-04-22 Gastón Avetta , Jose Lobera , Juan José Zárate , Inés Samengo , Damián G. Hernández

Data assimilation is a core component of numerical weather prediction systems. The large quantity of data processed during assimilation requires the computation to be distributed across increasingly many compute nodes, yet existing…

Machine Learning · Computer Science 2025-01-15 Oscar Key , So Takao , Daniel Giles , Marc Peter Deisenroth

Foundational image-language models have generated considerable interest due to their efficient adaptation to downstream tasks by prompt learning. Prompt learning treats part of the language model input as trainable while freezing the rest,…

The concept of mathematical modeling is widespread across almost all of the fields of contemporary science and engineering. Because of the existing necessity of predictions the behavior of natural phenomena, the researchers develop more and…

Machine Learning · Computer Science 2019-04-10 Marcin Sendera

This paper introduces a probabilistic framework to estimate parameters of an acquisition function given observed human behavior that can be modeled as a collection of sample paths from a Bayesian optimization procedure. The methodology…

Human-Computer Interaction · Computer Science 2022-02-04 Nathan Sandholtz , Yohsuke Miyamoto , Luke Bornn , Maurice Smith

Sequential probabilistic inference from streaming observations requires modeling distributions over future trajectories as new observations arrive. Although diffusion and flow-matching models are effective at capturing high-dimensional,…

Machine Learning · Computer Science 2026-05-15 Yinan Huang , Hans Hao-Hsun Hsu , Junran Wang , Bo Dai , Pan Li

Whenever eye movements are measured, a central part of the analysis has to do with where subjects fixate, and why they fixated where they fixated. To a first approximation, a set of fixations can be viewed as a set of points in space: this…

Applications · Statistics 2013-05-23 Simon Barthelmé , Hans Trukenbrod , Ralf Engbert , Felix Wichmann

We present a review of some recent results on estimation of location parameter for several models of observations with cusp-type singularity at the change point. We suppose that the cusp-type models fit better to the real phenomena…

Statistics Theory · Mathematics 2017-11-13 S. Dachian , N. Kordzakhia , Yu. A. Kutoyants , A. Novikov

Bayesian inference is often used in cosmology and astrophysics to derive constraints on model parameters from observations. This approach relies on the ability to compute the likelihood of the data given a choice of model parameters. In…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-16 Joel Akeret , Alexandre Refregier , Adam Amara , Sebastian Seehars , Caspar Hasner

Gaussian process regression is a powerful Bayesian nonlinear regression method. Recent research has enabled the capture of many types of observations using non-Gaussian likelihoods. To deal with various tasks in spatial modeling, we benefit…

Machine Learning · Statistics 2025-08-26 Yuta Shikuri

In the following article we provide an exposition of exact computational methods to perform parameter inference from partially observed network models. In particular, we consider the duplication attachment (DA) model which has a likelihood…

Computation · Statistics 2013-06-20 Junshan Wang , Ajay Jasra , Maria De Iorio

Some visual search tasks require to memorize the location of stimuli that have been previously scanned. Considerations about the eye movements raise the question of how we are able to maintain a coherent memory, despite the frequent…

Neural and Evolutionary Computing · Computer Science 2016-08-16 Jérémy Fix , Julien Vitay , Nicolas Rougier

We propose a general method to carry out a valid Bayesian analysis of a finite-dimensional `targeted' parameter in the presence of a finite-dimensional nuisance parameter. We apply our methods to causal inference based on estimating…

Methodology · Statistics 2026-02-03 Magid Sabbagh , David A. Stephens