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Causal models are crucial for understanding complex systems and identifying causal relationships among variables. Even though causal models are extremely popular, conditional probability calculation of formulas involving interventions pose…

人工智能 · 计算机科学 2024-05-24 Sainyam Galhotra , Joseph Y. Halpern

Discrete Bayesian Networks have been very successful as a framework both for inference and for expressing certain causal hypotheses. In this paper we present a class of graphical models called the chain event graph (CEG) models, that…

统计方法学 · 统计学 2007-09-24 Eva Riccomagno , Jim Q. Smith

A market-maker-based prediction market lets forecasters aggregate information by editing a consensus probability distribution either directly or by trading securities that pay off contingent on an event of interest. Combinatorial prediction…

人工智能 · 计算机科学 2012-10-19 Wei Sun , Robin Hanson , Kathryn Blackmond Laskey , Charles Twardy

Continuous-time Bayesian networks (CTBNs) are graphical representations of multi-component continuous-time Markov processes as directed graphs. The edges in the network represent direct influences among components. The joint rate matrix of…

人工智能 · 计算机科学 2012-07-02 Nir Friedman , Raz Kupferman

We present a new inference method based on approximate Bayesian computation for estimating parameters governing an entire network based on link-traced samples of that network. To do this, we first take summary statistics from an observed…

统计计算 · 统计学 2017-01-17 Jack Davis , Steven K. Thompson

This paper investigates two prominent probabilistic neural modeling paradigms: Bayesian Neural Networks (BNNs) and Mixture Density Networks (MDNs) for uncertainty-aware nonlinear regression. While BNNs incorporate epistemic uncertainty by…

统计计算 · 统计学 2025-10-30 Riddhi Pratim Ghosh , Ian Barnett

The paper extends Bayesian networks (BNs) by a mechanism for dynamic changes to the probability distributions represented by BNs. One application scenario is the process of knowledge acquisition of an observer interacting with a system. In…

计算机科学中的逻辑 · 计算机科学 2018-07-10 Benjamin Cabrera , Tobias Heindel , Reiko Heckel , Barbara König

Qualitative probabilistic networks (QPNs) combine the conditional independence assumptions of Bayesian networks with the qualitative properties of positive and negative dependence. They formalise various intuitive properties of positive…

人工智能 · 计算机科学 2024-01-26 Jack Storror Carter

In traffic forecasting, graph convolutional networks (GCNs), which model traffic flows as spatio-temporal graphs, have achieved remarkable performance. However, existing GCN-based methods heuristically define the graph structure as the…

机器学习 · 计算机科学 2020-10-16 Jun Fu , Wei Zhou , Zhibo Chen

Many complex systems in biology, physics, and engineering include a large number of state-variables, and measuring the full state of the system is often impossible. Typically, a set of sensors is used to measure part of the state-variables.…

最优化与控制 · 数学 2020-06-09 Eyal Weiss , Michael Margaliot

Approximate Bayesian Computation (ABC for short) is a family of computational techniques which offer an almost automated solution in situations where evaluation of the posterior likelihood is computationally prohibitive, or whenever…

统计理论 · 数学 2013-06-04 Gérard Biau , Frédéric Cérou , Arnaud Guyader

Bayesian networks (BN) are directed acyclic graphical (DAG) models that have been adopted into many fields for their strengths in transparency, interpretability, probabilistic reasoning, and causal modeling. Given a set of data, one hurdle…

人工智能 · 计算机科学 2023-05-19 Christian D. Blakely

Conditional Neural Processes~(CNPs) formulate distributions over functions and generate function observations with exact conditional likelihoods. CNPs, however, have limited expressivity for high-dimensional observations, since their…

机器学习 · 计算机科学 2023-03-24 Zesheng Ye , Jing Du , Lina Yao

Statistical methods for reconstructing networks from repeated measurements typically assume that all measurements are generated from the same underlying network structure. This need not be the case, however. People's social networks might…

社会与信息网络 · 计算机科学 2022-01-25 Jean-Gabriel Young , Alec Kirkley , M. E. J. Newman

Deep convolutional neural networks (DCNNs) have dominated the recent developments in computer vision through making various record-breaking models. However, it is still a great challenge to achieve powerful DCNNs in resource-limited…

计算机视觉与模式识别 · 计算机科学 2019-08-20 Jiaxin Gu , Junhe Zhao , Xiaolong Jiang , Baochang Zhang , Jianzhuang Liu , Guodong Guo , Rongrong Ji

Modeling natural phenomena with artificial neural networks (ANNs) often provides highly accurate predictions. However, ANNs often suffer from over-parameterization, complicating interpretation and raising uncertainty issues. Bayesian neural…

机器学习 · 统计学 2025-03-14 Eirik Høyheim , Lars Skaaret-Lund , Solve Sæbø , Aliaksandr Hubin

Bayesian learning is a powerful learning framework which combines the external information of the data (background information) with the internal information (training data) in a logically consistent way in inference and prediction. By…

机器学习 · 统计学 2026-02-11 Erdong Guo , David Draper

Causal learning from data has received much attention recently. Bayesian networks can be used to capture causal relationships. There, one recovers a weighted directed acyclic graph in which random variables are represented by vertices, and…

机器学习 · 计算机科学 2026-01-06 Pavel Rytir , Ales Wodecki , Georgios Korpas , Jakub Marecek

Graph convolutional neural networks (GCNN) have numerous applications in different graph based learning tasks. Although the techniques obtain impressive results, they often fall short in accounting for the uncertainty associated with the…

机器学习 · 计算机科学 2019-11-13 Soumyasundar Pal , Florence Regol , Mark Coates

Modern neural networks have proven to be powerful function approximators, providing state-of-the-art performance in a multitude of applications. They however fall short in their ability to quantify confidence in their predictions - this is…

机器学习 · 统计学 2020-06-29 Alex J. Chan , Ahmed M. Alaa , Zhaozhi Qian , Mihaela van der Schaar