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The posteriors over neural network weights are high dimensional and multimodal. Each mode typically characterizes a meaningfully different representation of the data. We develop Cyclical Stochastic Gradient MCMC (SG-MCMC) to automatically…

Machine Learning · Computer Science 2020-05-13 Ruqi Zhang , Chunyuan Li , Jianyi Zhang , Changyou Chen , Andrew Gordon Wilson

Bayesian Neural Networks(BNNs) with high-dimensional parameters pose a challenge for posterior inference due to the multi-modality of the posterior distributions. Stochastic Gradient MCMC(SGMCMC) with cyclical learning rate scheduling is a…

Machine Learning · Computer Science 2024-08-20 SeungHyun Kim , Seohyeon Jung , Seonghyeon Kim , Juho Lee

Sequential Monte Carlo (SMC) methods offer a principled approach to Bayesian uncertainty quantification but are traditionally limited by the need for full-batch gradient evaluations. We introduce a scalable variant by incorporating…

Machine Learning · Statistics 2025-05-20 Andrew Millard , Zheng Zhao , Joshua Murphy , Simon Maskell

Bayesian max-margin models have shown superiority in various practical applications, such as text categorization, collaborative prediction, social network link prediction and crowdsourcing, and they conjoin the flexibility of Bayesian…

Machine Learning · Statistics 2016-10-19 Wenbo Hu , Jun Zhu , Bo Zhang

Stochastic gradient Markov chain Monte Carlo (SG-MCMC) has become increasingly popular for simulating posterior samples in large-scale Bayesian modeling. However, existing SG-MCMC schemes are not tailored to any specific probabilistic…

Machine Learning · Statistics 2018-06-13 Wenbo Gong , Yingzhen Li , José Miguel Hernández-Lobato

Federated learning performed by a decentralized networks of agents is becoming increasingly important with the prevalence of embedded software on autonomous devices. Bayesian approaches to learning benefit from offering more information as…

Machine Learning · Computer Science 2021-07-16 Vyacheslav Kungurtsev , Adam Cobb , Tara Javidi , Brian Jalaian

Learning in deep models using Bayesian methods has generated significant attention recently. This is largely because of the feasibility of modern Bayesian methods to yield scalable learning and inference, while maintaining a measure of…

Machine Learning · Statistics 2015-12-25 Chunyuan Li , Changyou Chen , Kai Fan , Lawrence Carin

Bayesian phylogenetic inference is often conducted via local or sequential search over topologies and branch lengths using algorithms such as random-walk Markov chain Monte Carlo (MCMC) or Combinatorial Sequential Monte Carlo (CSMC).…

Machine Learning · Statistics 2021-06-21 Antonio Khalil Moretti , Liyi Zhang , Christian A. Naesseth , Hadiah Venner , David Blei , Itsik Pe'er

We present doubly stochastic gradient MCMC, a simple and generic method for (approximate) Bayesian inference of deep generative models (DGMs) in a collapsed continuous parameter space. At each MCMC sampling step, the algorithm randomly…

Machine Learning · Computer Science 2016-03-08 Chao Du , Jun Zhu , Bo Zhang

Bayesian Neural Networks (BNNs) provide a promising framework for modeling predictive uncertainty and enhancing out-of-distribution robustness (OOD) by estimating the posterior distribution of network parameters. Stochastic Gradient Markov…

Machine Learning · Computer Science 2025-03-04 Hyunsu Kim , Giung Nam , Chulhee Yun , Hongseok Yang , Juho Lee

This work introduces a new method designed for Bayesian deep learning called scalable Bayesian Monte Carlo (SBMC). The method is comprised of a model and an algorithm. The model interpolates between a point estimator and the posterior. The…

Stochastic gradient Langevin dynamics (SGLD) and stochastic gradient Hamiltonian Monte Carlo (SGHMC) are two popular Markov Chain Monte Carlo (MCMC) algorithms for Bayesian inference that can scale to large datasets, allowing to sample from…

Machine Learning · Statistics 2021-08-30 Mert Gürbüzbalaban , Xuefeng Gao , Yuanhan Hu , Lingjiong Zhu

High-dimensional feature selection arises in many areas of modern science. For example, in genomic research we want to find the genes that can be used to separate tissues of different classes (e.g. cancer and normal) from tens of thousands…

Computation · Statistics 2018-07-20 Longhai Li , Weixin Yao

Symbolic regression is a powerful tool for discovering governing equations directly from data, but its sensitivity to noise hinders its broader application. This paper introduces a Sequential Monte Carlo (SMC) framework for Bayesian…

Machine Learning · Computer Science 2025-12-12 Geoffrey F. Bomarito , Patrick E. Leser

Stochastic gradient MCMC (SG-MCMC) algorithms have proven useful in scaling Bayesian inference to large datasets under an assumption of i.i.d data. We instead develop an SG-MCMC algorithm to learn the parameters of hidden Markov models…

Machine Learning · Statistics 2017-06-16 Yi-An Ma , Nicholas J. Foti , Emily B. Fox

Bayesian model comparison (BMC) offers a principled approach for assessing the relative merits of competing computational models and propagating uncertainty into model selection decisions. However, BMC is often intractable for the popular…

Machine Learning · Statistics 2023-11-27 Lasse Elsemüller , Martin Schnuerch , Paul-Christian Bürkner , Stefan T. Radev

Low-precision training has emerged as a promising low-cost technique to enhance the training efficiency of deep neural networks without sacrificing much accuracy. Its Bayesian counterpart can further provide uncertainty quantification and…

Machine Learning · Statistics 2024-07-16 Ziyi Wang , Yujie Chen , Qifan Song , Ruqi Zhang

Bayesian inference provides a methodology for parameter estimation and uncertainty quantification in machine learning and deep learning methods. Variational inference and Markov Chain Monte-Carlo (MCMC) sampling methods are used to…

Machine Learning · Statistics 2024-08-27 Rohitash Chandra , Joshua Simmons

Bayesian deep learning offers a principled way to address many issues concerning safety of artificial intelligence (AI), such as model uncertainty,model interpretability, and prediction bias. However, due to the lack of efficient Monte…

Machine Learning · Statistics 2020-09-22 Sehwan Kim , Qifan Song , Faming Liang

A new algorithm based on bayesian inference for learning local graph conductance based on Gaussian Process(GP) is given that uses advanced MCMC convergence ideas to create a scalable and fast algorithm for convergence to stationary…

Machine Learning · Computer Science 2022-04-28 Farshad Noravesh
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