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We introduce a class of neural networks derived from probabilistic models in the form of Bayesian networks. By imposing additional assumptions about the nature of the probabilistic models represented in the networks, we derive neural…

Disordered Systems and Neural Networks · Physics 2010-04-30 Michael J. Barber , John W. Clark

Vector space models have become popular in distributional semantics, despite the challenges they face in capturing various semantic phenomena. We propose a novel probabilistic framework which draws on both formal semantics and recent…

Computation and Language · Computer Science 2016-06-28 Guy Emerson , Ann Copestake

There is significant growth and interest in the use of synthetic data as an enabler for machine learning in environments where the release of real data is restricted due to privacy or availability constraints. Despite a large number of…

Machine Learning · Computer Science 2020-11-25 Harrison Wilde , Jack Jewson , Sebastian Vollmer , Chris Holmes

Mechanistic models can provide an intuitive and interpretable explanation of network growth by specifying a set of generative rules. These rules can be defined by domain knowledge about real-world mechanisms governing network growth or may…

Social and Information Networks · Computer Science 2025-12-04 Maxwell H Wang , Till Hoffmann , Jukka-Pekka Onnela

In general, the best explanation for a given observation makes no promises on how good it is with respect to other alternative explanations. A major deficiency of message-passing schemes for belief revision in Bayesian networks is their…

Artificial Intelligence · Computer Science 2013-03-26 Eugene Santos

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

We develop the theory and practice of an approach to modelling and probabilistic inference in causal networks that is suitable when application-specific or analysis-specific constraints should inform such inference or when little or no data…

Artificial Intelligence · Computer Science 2017-05-16 Paul Beaumont , Michael Huth

A substantial generalisation is put forward of the theory of subjective fiducial inference as it was outlined in earlier papers. In particular, this theory is extended to deal with cases where the data are discrete or categorical rather…

Other Statistics · Statistics 2021-04-09 Russell J. Bowater

Modern generative models exhibit unprecedented capabilities to generate extremely realistic data. However, given the inherent compositionality of the real world, reliable use of these models in practical applications requires that they…

Machine Learning · Computer Science 2025-07-29 Maya Okawa , Ekdeep Singh Lubana , Robert P. Dick , Hidenori Tanaka

Probabilistic approaches for tensor factorization aim to extract meaningful structure from incomplete data by postulating low rank constraints. Recently, variational Bayesian (VB) inference techniques have successfully been applied to large…

Machine Learning · Computer Science 2014-10-01 Beyza Ermis , A. Taylan Cemgil

A method is described, which computes from an observed sample of events upper limits for production rates of particles, or, in case of appearance of a signal, the probability for an upwards fluctuation of the background. For any candidate,…

High Energy Physics - Experiment · Physics 2010-10-27 P. Bock

Conditional image synthesis based on user-specified requirements is a key component in creating complex visual content. In recent years, diffusion-based generative modeling has become a highly effective way for conditional image synthesis,…

Computer Vision and Pattern Recognition · Computer Science 2025-06-03 Zheyuan Zhan , Defang Chen , Jian-Ping Mei , Zhenghe Zhao , Jiawei Chen , Chun Chen , Siwei Lyu , Can Wang

One of the main problems of importance sampling in Bayesian networks is representation of the importance function, which should ideally be as close as possible to the posterior joint distribution. Typically, we represent an importance…

Artificial Intelligence · Computer Science 2012-07-09 Changhe Yuan , Marek J. Druzdzel

The goal of causal inference is to understand the outcome of alternative courses of action. However, all causal inference requires assumptions. Such assumptions can be more influential than in typical tasks for probabilistic modeling, and…

Methodology · Statistics 2016-10-31 Dustin Tran , Francisco J. R. Ruiz , Susan Athey , David M. Blei

We formulate the inverse problem in a Bayesian framework and aim to train a generative model that allows us to simulate (i.e., sample from the likelihood) and do inference (i.e., sample from the posterior). We review the use of triangular…

Machine Learning · Statistics 2025-09-05 Tristan van Leeuwen , Christoph Brune , Marcello Carioni

We consider discrete nonparametric priors which induce Gibbs-type exchangeable random partitions and investigate their posterior behavior in detail. In particular, we deduce conditional distributions and the corresponding Bayesian…

Probability · Mathematics 2008-08-22 Antonio Lijoi , Igor Prünster , Stephen G. Walker

This paper presents a procedure to determine a complete belief function from the known values of belief for some of the subsets of the frame of discerment. The method is based on the principle of minimum commitment and a new principle…

Artificial Intelligence · Computer Science 2013-03-08 Serafin Moral , Luis M. de Campos

In this paper, we present a decision support system based on belief functions and the pignistic transformation. The system is an integration of an evidential system for belief function propagation and a valuation-based system for Bayesian…

Artificial Intelligence · Computer Science 2013-03-08 Hong Xu , Yen-Teh Hsia , Philippe Smets

Estimating the counterfactual outcome of treatment is essential for decision-making in public health and clinical science, among others. Often, treatments are administered in a sequential, time-varying manner, leading to an exponentially…

Machine Learning · Statistics 2024-07-16 Shenghao Wu , Wenbin Zhou , Minshuo Chen , Shixiang Zhu

In this article, we review selective inference, a set of techniques for inference when the statistical question asked is a function of the data. This setting often arises in contemporary scientific workflows, where hypotheses and parameters…

Methodology · Statistics 2026-04-14 Anna Neufeld , Ronan Perry , Daniela Witten
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