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We present Bayesian Spillover Graphs (BSG), a novel method for learning temporal relationships, identifying critical nodes, and quantifying uncertainty for multi-horizon spillover effects in a dynamic system. BSG leverages both an…

Methodology · Statistics 2022-06-20 Grace Deng , David S. Matteson

Sustainable and economical generation of electrical power is an essential and mandatory component of infrastructure in today's world. Optimal generation (generator subset selection) of power requires a careful evaluation of various factors…

Computational Engineering, Finance, and Science · Computer Science 2017-09-11 Biswarup Bhattacharya , Abhishek Sinha

The use of synthetic graph generators is a common practice among graph-oriented benchmark designers, as it allows obtaining graphs with the required scale and characteristics. However, finding a graph generator that accurately fits the…

Motivated by a real-life problem of sharing social network data that contain sensitive personal information, we propose a novel approach to release and analyze synthetic graphs in order to protect privacy of individual relationships…

Computation · Statistics 2016-09-26 Vishesh Karwa , Pavel N. Krivitsky , Aleksandra B. Slavković

Bayesian network is a complete model for the variables and their relationships, it can be used to answer probabilistic queries about them. A Bayesian network can thus be considered a mechanism for automatically applying Bayes' theorem to…

Artificial Intelligence · Computer Science 2010-11-08 Jianguo Ding

The lack of data on critical infrastructure systems has hindered the research progress in modeling and optimizing the system performance. This work develops a method for generating Synthetic Interdependent Critical Infrastructure Networks…

Physics and Society · Physics 2022-06-29 Yu Wang , Jin-Zhu Yu , Hiba Baroud

Graphs are ubiquitous in modelling relational structures. Recent endeavours in machine learning for graph-structured data have led to many architectures and learning algorithms. However, the graph used by these algorithms is often…

Machine Learning · Statistics 2020-06-25 Soumyasundar Pal , Saber Malekmohammadi , Florence Regol , Yingxue Zhang , Yishi Xu , Mark Coates

A Chain Event Graph (CEG) is a graphial model which designed to embody conditional independencies in problems whose state spaces are highly asymmetric and do not admit a natural product structure. In this paer we present a probability…

Artificial Intelligence · Computer Science 2012-06-18 Peter Thwaites , Jim Q. Smith , Robert G. Cowell

Bayesian networks provide a method of representing conditional independence between random variables and computing the probability distributions associated with these random variables. In this paper, we extend Bayesian network structures to…

Artificial Intelligence · Computer Science 2013-02-21 Eric Driver , Darryl Morrell

While all kinds of mixed data -from personal data, over panel and scientific data, to public and commercial data- are collected and stored, building probabilistic graphical models for these hybrid domains becomes more difficult. Users spend…

Machine Learning · Computer Science 2017-11-07 Alejandro Molina , Antonio Vergari , Nicola Di Mauro , Sriraam Natarajan , Floriana Esposito , Kristian Kersting

\texttt{Mixture-Models} is an open-source Python library for fitting Gaussian Mixture Models (GMM) and their variants, such as Parsimonious GMMs, Mixture of Factor Analyzers, MClust models, Mixture of Student's t distributions, etc. It…

Computation · Statistics 2024-02-19 Siva Rajesh Kasa , Hu Yijie , Santhosh Kumar Kasa , Vaibhav Rajan

This work proposes a method for using any generator network as the foundation of an Energy-Based Model (EBM). Our formulation posits that observed images are the sum of unobserved latent variables passed through the generator network and a…

Computer Vision and Pattern Recognition · Computer Science 2023-01-18 Mitch Hill , Erik Nijkamp , Jonathan Mitchell , Bo Pang , Song-Chun Zhu

Hypergraphs are powerful mathematical structures that can model complex, high-order relationships in various domains, including social networks, bioinformatics, and recommender systems. However, generating realistic and diverse hypergraphs…

Machine Learning · Computer Science 2026-03-11 Dorian Gailhard , Enzo Tartaglione , Lirida Naviner , Jhony H. Giraldo

Bayesian Generative AI (BayesGen-AI) methods are developed and applied to Bayesian computation. BayesGen-AI reconstructs the posterior distribution by directly modeling the parameter of interest as a mapping (a.k.a. deep learner) from a…

Computation · Statistics 2024-02-27 Nicholas G. Polson , Vadim Sokolov

Try to generate new bridge types using generative artificial intelligence technology. Using symmetric structured image dataset of three-span beam bridge, arch bridge, cable-stayed bridge and suspension bridge , based on Python programming…

Machine Learning · Computer Science 2024-01-12 Hongjun Zhang

Big data analytic applications using phasor measurements help improve the situation awareness of grid operators to better operate and control the system. Phasor measurement unit (PMU) data from actual grids is viewed as highly confidential…

Systems and Control · Electrical Eng. & Systems 2019-09-10 Ti Xu , Hanyue Li , Adam B. Birchfield , Thomas J. Overbye

In this paper, we present an automated pipeline for generating domain-specific synthetic datasets with diffusion models, addressing the distribution shift between pre-trained models and real-world deployment environments. Our three-stage…

Computer Vision and Pattern Recognition · Computer Science 2026-01-14 Dongsik Yoon , Jongeun Kim

The ability to generate synthetic data has a variety of use cases across different domains. In education research, there is a growing need to have access to synthetic data to test certain concepts and ideas. In recent years, several deep…

Machine Learning · Computer Science 2022-10-18 Herkulaas MvE Combrink , Vukosi Marivate , Benjamin Rosman

Sharing sensitive data is vital in enabling many modern data analysis and machine learning tasks. However, current methods for data release are insufficiently accurate or granular to provide meaningful utility, and they carry a high risk of…

Databases · Computer Science 2021-08-25 Teddy Cunningham , Graham Cormode , Hakan Ferhatosmanoglu

Hierarchical Bayesian models are increasingly used in large, inhomogeneous complex network dynamical systems by modeling parameters as draws from a hyperparameter-governed distribution. However, theoretical guarantees for these estimates as…

Statistics Theory · Mathematics 2026-01-23 Yi Yu , Yubo Hou , Yinchong Wang , Nan Zhang , Jianfeng Feng , Wenlian Lu