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Variational inference is a powerful concept that underlies many iterative approximation algorithms; expectation propagation, mean-field methods and belief propagations were all central themes at the school that can be perceived from this…

机器学习 · 统计学 2014-09-23 Jack Raymond , Andre Manoel , Manfred Opper

In variational inference, the benefits of Bayesian models rely on accurately capturing the true posterior distribution. We propose using neural samplers that specify implicit distributions, which are well-suited for approximating complex…

机器学习 · 计算机科学 2023-11-10 Anshuk Uppal , Kristoffer Stensbo-Smidt , Wouter Boomsma , Jes Frellsen

We present new algorithms for inference in credal networks --- directed acyclic graphs associated with sets of probabilities. Credal networks are here interpreted as encoding strong independence relations among variables. We first present a…

人工智能 · 计算机科学 2013-01-07 Jose Carlos Ferreira da Rocha , Fabio Gagliardi Cozman

This paper addresses the problem of distributed learning of average belief with sequential observations, in which a network of $n>1$ agents aim to reach a consensus on the average value of their beliefs, by exchanging information only with…

多智能体系统 · 计算机科学 2018-11-20 Kaiqing Zhang , Yang Liu , Ji Liu , Mingyan Liu , Tamer Başar

In distributed optimization and distributed numerical linear algebra, we often encounter an inversion bias: if we want to compute a quantity that depends on the inverse of a sum of distributed matrices, then the sum of the inverses does not…

机器学习 · 计算机科学 2019-05-29 Michał Dereziński , Michael W. Mahoney

We study several bayesian inference problems for irreversible stochastic epidemic models on networks from a statistical physics viewpoint. We derive equations which allow to accurately compute the posterior distribution of the time…

Recently a new algorithm for sampling posteriors of unnormalised probability densities, called ABC Shadow, was proposed in [8]. This talk introduces a global optimisation procedure based on the ABC Shadow simulation dynamics. First the…

统计计算 · 统计学 2018-03-20 R. S. Stoica , M. Deaconu , L. Hurtado

Experts in a population hold (a) beliefs over a state (call these state beliefs), as well as (b) beliefs over the distribution of beliefs in the population (call these hypothetical beliefs). If these are generated via updating a common…

理论经济学 · 经济学 2023-04-18 Jonathan Libgober

As belief networks are used to model increasingly complex situations, the need to automatically construct them from large databases will become paramount. This paper concentrates on solving a part of the belief network induction problem:…

人工智能 · 计算机科学 2013-03-08 Ron Musick

Probabilistic inference problems arise naturally in distributed systems such as sensor networks and teams of mobile robots. Inference algorithms that use message passing are a natural fit for distributed systems, but they must be robust to…

人工智能 · 计算机科学 2012-07-19 Mark Paskin , Carlos E. Guestrin

We can perform inference in Bayesian belief networks by enumerating instantiations with high probability thus approximating the marginals. In this paper, we present a method for determining the fraction of instantiations that has to be…

人工智能 · 计算机科学 2013-02-21 Enrique F. Castillo , Remco R. Bouckaert , Jose M. Sarabia , Cristina Solares

An important problem of reconstruction of diffusion network and transmission probabilities from the data has attracted a considerable attention in the past several years. A number of recent papers introduced efficient algorithms for the…

物理与社会 · 物理学 2015-09-24 Andrey Y. Lokhov , Theodor Misiakiewicz

Evidence in probabilistic reasoning may be 'hard' or 'soft', that is, it may be of yes/no form, or it may involve a strength of belief, in the unit interval [0, 1]. Reasoning with soft, [0, 1]-valued evidence is important in many situations…

人工智能 · 计算机科学 2019-07-02 Bart Jacobs

This paper presents a new deterministic approximation technique in Bayesian networks. This method, "Expectation Propagation", unifies two previous techniques: assumed-density filtering, an extension of the Kalman filter, and loopy belief…

人工智能 · 计算机科学 2013-01-14 Thomas P. Minka

In probabilistic updating one transforms a prior distribution in the light of given evidence into a posterior distribution, via what is called conditioning, updating, belief revision or inference. This is the essence of learning, as…

计算机科学中的逻辑 · 计算机科学 2024-05-22 Bart Jacobs

It is now widely accepted that the standard inferential toolkit used by the scientific research community -- null-hypothesis significance testing (NHST) -- is not fit for purpose. Yet despite the threat posed to the scientific enterprise,…

统计方法学 · 统计学 2023-11-10 Leonhard Held , Robert Matthews , Manuela Ott , Samuel Pawel

With multiple outcomes in empirical research, a common strategy is to define a composite outcome as a weighted average of the original outcomes. However, the choices of weights are often subjective and can be controversial. We propose an…

统计方法学 · 统计学 2025-09-17 Wei Zhang , Qizhai Li , Peng Ding

Consider the following model to study adversarial effects on opinion forming. A set of initially selected experts form their binary opinion while being influenced by an adversary, who may convince some of them of the falsehood. All other…

人工智能 · 计算机科学 2021-12-02 Konstantinos Panagiotou , Simon Reisser

In statistical inference, retrodiction is the act of inferring potential causes in the past based on knowledge of the effects in the present and the dynamics leading to the present. Retrodiction is applicable even when the dynamics is not…

范畴论 · 数学 2024-02-01 Arthur J. Parzygnat

We document a connection between constraint reasoning and probabilistic reasoning. We present an algorithm, called {em probabilistic arc consistency}, which is both a generalization of a well known algorithm for arc consistency used in…

人工智能 · 计算机科学 2013-01-18 Michael C. Horsch , Bill Havens