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Bayesian inference is an effective approach for solving statistical learning problems, especially with uncertainty and incompleteness. However, Bayesian inference is a computing-intensive task whose efficiency is physically limited by the…

Emerging Technologies · Computer Science 2019-02-20 Xiaotao Jia , Jianlei Yang , Pengcheng Dai , Runze Liu , Yiran Chen , Weisheng Zhao

With the advent of structured data in the form of social networks, genetic circuits and protein interaction networks, statistical analysis of networks has gained popularity over recent years. Stochastic block model constitutes a classical…

Statistics Theory · Mathematics 2015-05-27 Debdeep Pati , Anirban Bhattacharya

The common feature of nearly all logic and memory devices is that they make use of stable units to represent 0's and 1's. A completely different paradigm is based on three-terminal stochastic units which could be called "p-bits", where the…

Emerging Technologies · Computer Science 2017-09-14 Ahmed Zeeshan Pervaiz , Lakshmi Anirudh Ghantasala , Kerem Yunus Camsari , Supriyo Datta

Spiking neural networks (SNNs) are distributed trainable systems whose computing elements, or neurons, are characterized by internal analog dynamics and by digital and sparse synaptic communications. The sparsity of the synaptic spiking…

Machine Learning · Computer Science 2020-01-08 Hyeryung Jang , Osvaldo Simeone , Brian Gardner , André Grüning

Bayesian methods for learning Gaussian graphical models offer a principled framework for quantifying model uncertainty and incorporating prior knowledge. However, their scalability is constrained by the computational cost of jointly…

Methodology · Statistics 2025-08-28 Reza Mohammadi , Marit Schoonhoven , Lucas Vogels , S. Ilker Birbil

Probabilistic bits (p-bits) offer an energy-efficient hardware abstraction for stochastic optimization; however, existing p-bit-based simulated annealing accelerators suffer from poor scalability and limited support for fully connected…

Hardware Architecture · Computer Science 2026-02-19 Naoya Onizawa , Taiga Kubuta , Duckgyu Shin , Takahiro Hanyu

In many applications, data often arise from multiple groups that may share similar characteristics. A joint estimation method that models several groups simultaneously can be more efficient than estimating parameters in each group…

Methodology · Statistics 2020-08-17 Kyoungjae Lee , Xuan Cao

In this paper we consider graph algorithms and graphical analysis as a new application for neuromorphic computing platforms. We demonstrate how the nonlinear dynamics of spiking neurons can be used to implement low-level graph operations.…

Neural and Evolutionary Computing · Computer Science 2019-03-27 Kathleen E. Hamilton , Tiffany M. Mintz , Catherine D. Schuman

Bayesian inference provides a principled framework for understanding brain function, while neural activity in the brain is inherently spike-based. This paper bridges these two perspectives by designing spiking neural networks that simulate…

Neurons and Cognition · Quantitative Biology 2026-01-01 Sepideh Adamiat , Wouter M. Kouw , Bert de Vries

Graphical models are usually learned without regard to the cost of doing inference with them. As a result, even if a good model is learned, it may perform poorly at prediction, because it requires approximate inference. We propose an…

Artificial Intelligence · Computer Science 2012-06-18 Daniel Lowd , Pedro Domingos

Controller tuning and parameter optimization are crucial in system design to improve closed-loop system performance. Bayesian optimization has been established as an efficient model-free controller tuning and adaptation method. However,…

Systems and Control · Electrical Eng. & Systems 2024-04-24 Christopher König , Raamadaas Krishnadas , Efe C. Balta , Alisa Rupenyan

Graphical models provide a powerful methodology for learning the conditional independence structure in multivariate data. Inference is often focused on estimating individual edges in the latent graph. Nonetheless, there is increasing…

Methodology · Statistics 2023-12-15 Willem van den Boom , Maria De Iorio , Alexandros Beskos

Motivation: Several different threads of research have been proposed for modeling and mining temporal data. On the one hand, approaches such as dynamic Bayesian networks (DBNs) provide a formal probabilistic basis to model relationships…

Machine Learning · Computer Science 2009-04-15 Debprakash Patnaik , Srivatsan Laxman , Naren Ramakrishnan

The likelihood-free sequential Approximate Bayesian Computation (ABC) algorithms, are increasingly popular inference tools for complex biological models. Such algorithms proceed by constructing a succession of probability distributions over…

Computation · Statistics 2012-10-12 Daniel Silk , Saran Filippi , Michael P. H. Stumpf

We study the application of graph random features (GRFs) - a recently introduced stochastic estimator of graph node kernels - to scalable Gaussian processes on discrete input spaces. We prove that (under mild assumptions) Bayesian inference…

Machine Learning · Computer Science 2025-09-29 Matthew Zhang , Jihao Andreas Lin , Krzysztof Choromanski , Adrian Weller , Richard E. Turner , Isaac Reid

Probabilistic bits (p-bits) have recently been employed in neural networks (NNs) as stochastic neurons with sigmoidal probabilistic activation functions. Nonetheless, there remain a wealth of other probabilistic activation functions that…

The Bayesian view of the brain hypothesizes that the brain constructs a generative model of the world, and uses it to make inferences via Bayes' rule. Although many types of approximate inference schemes have been proposed for hierarchical…

Neurons and Cognition · Quantitative Biology 2019-11-15 Shashwat Shukla , Hideaki Shimazaki , Udayan Ganguly

Attack graphs are commonly used to analyse the security of medium-sized to large networks. Based on a scan of the network and likelihood information of vulnerabilities, attack graphs can be transformed into Bayesian Attack Graphs (BAGs).…

Cryptography and Security · Computer Science 2021-03-18 Isaac Matthews , John Mace , Sadegh Soudjani , Aad van Moorsel

We report a scalable hybrid quantum-classical machine learning framework to build Bayesian networks (BN) that captures the conditional dependence and causal relationships of random variables. The generation of a BN consists of finding a…

Machine Learning · Computer Science 2019-01-31 Radhakrishnan Balu , Ajinkya Borle

We investigate the benefit of treating all the parameters in a Bayesian neural network stochastically and find compelling theoretical and empirical evidence that this standard construction may be unnecessary. To this end, we prove that…

Machine Learning · Computer Science 2023-02-21 Mrinank Sharma , Sebastian Farquhar , Eric Nalisnick , Tom Rainforth