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In this work, we propose a new particle-based variational inference (ParVI) method for accelerating the Energetic Variational Inference with Implicit scheme (EVI-Im) introduced in Ref. \cite{wang2021particle}. Inspired by energy…

Machine Learning · Statistics 2026-05-14 Xuelian Bao , Lulu Kang , Chun Liu , Yiwei Wang

This paper introduces a representative-based approach for distributed learning that transforms multiple raw data points into a virtual representation. Unlike traditional distributed learning methods such as Federated Learning, which do not…

Machine Learning · Computer Science 2025-02-12 Mengchen Fan , Baocheng Geng , Keren Li , Xueqian Wang , Pramod K. Varshney

Recently, Stochastic Variational Inference (SVI) has been increasingly attractive thanks to its ability to find good posterior approximations of probabilistic models. It optimizes the variational objective with stochastic optimization,…

Machine Learning · Computer Science 2022-03-16 Minta Liu , Suliang Bu

Recently, federated learning has raised increasing interest in the medical image analysis field due to its ability to aggregate multi-center data with privacy-preserving properties. A large amount of federated training schemes have been…

Computer Vision and Pattern Recognition · Computer Science 2024-10-24 Matthis Manthe , Stefan Duffner , Carole Lartizien

Semi-implicit variational inference (SIVI) is introduced to expand the commonly used analytic variational distribution family, by mixing the variational parameter with a flexible distribution. This mixing distribution can assume any density…

Machine Learning · Statistics 2018-05-30 Mingzhang Yin , Mingyuan Zhou

Variational inference is a fast and scalable alternative to Markov chain Monte Carlo and has been widely applied to posterior inference tasks in statistics and machine learning. A traditional approach for implementing mean-field variational…

Statistics Theory · Mathematics 2026-01-01 Qiang Du , Kaizheng Wang , Edith Zhang , Chenyang Zhong

Federated learning faces huge challenges from model overfitting due to the lack of data and statistical diversity among clients. To address these challenges, this paper proposes a novel personalized federated learning method via Bayesian…

Machine Learning · Computer Science 2022-06-17 Xu Zhang , Yinchuan Li , Wenpeng Li , Kaiyang Guo , Yunfeng Shao

Variational Inference (VI) offers a method for approximating intractable likelihoods. In neural VI, inference of approximate posteriors is commonly done using an encoder. Alternatively, encoderless VI offers a framework for learning…

Machine Learning · Computer Science 2023-01-18 Amir Zadeh , Santiago Benoit , Louis-Philippe Morency

This paper develops variational continual learning (VCL), a simple but general framework for continual learning that fuses online variational inference (VI) and recent advances in Monte Carlo VI for neural networks. The framework can…

Machine Learning · Statistics 2018-05-22 Cuong V. Nguyen , Yingzhen Li , Thang D. Bui , Richard E. Turner

Bayesian inference provides principled uncertainty quantification, but accurate posterior sampling with MCMC can be computationally prohibitive for modern applications. Variational inference (VI) offers a scalable alternative and often…

Methodology · Statistics 2026-05-14 Laura Battaglia , Stefano Cortinovis , Chris Holmes , David T. Frazier , Jack Jewson

Variational inference (VI) provides a principled framework for estimating posterior distributions over model parameters, enabling explicit modeling of weight uncertainty during optimization. By capturing this uncertainty, VI improves the…

Audio and Speech Processing · Electrical Eng. & Systems 2026-01-21 Haolin Chen

Computer models play a crucial role in numerous scientific and engineering domains. To ensure the accuracy of simulations, it is essential to properly calibrate the input parameters of these models through statistical inference. While…

Applications · Statistics 2024-03-07 Dongkyu Derek Cho , Won Chang , Jaewoo Park

We propose Diffusion Model Variational Inference (DMVI), a novel method for automated approximate inference in probabilistic programming languages (PPLs). DMVI utilizes diffusion models as variational approximations to the true posterior…

Machine Learning · Computer Science 2023-11-23 Simon Dirmeier , Fernando Perez-Cruz

Particle-based variational inference methods (ParVIs) have gained attention in the Bayesian inference literature, for their capacity to yield flexible and accurate approximations. We explore ParVIs from the perspective of Wasserstein…

Machine Learning · Statistics 2019-07-17 Chang Liu , Jingwei Zhuo , Pengyu Cheng , Ruiyi Zhang , Jun Zhu , Lawrence Carin

Variational inference (VI) is a popular approach in Bayesian inference, that looks for the best approximation of the posterior distribution within a parametric family, minimizing a loss that is typically the (reverse) Kullback-Leibler (KL)…

Machine Learning · Statistics 2024-06-11 Tom Huix , Anna Korba , Alain Durmus , Eric Moulines

Federated Learning (FL) is a distributed learning scheme to train a shared model across clients. One common and fundamental challenge in FL is that the sets of data across clients could be non-identically distributed and have different…

Machine Learning · Computer Science 2023-05-23 Junyi Zhu , Xingchen Ma , Matthew B. Blaschko

In a probabilistic latent variable model, factorized (or mean-field) variational inference (F-VI) fits a separate parametric distribution for each latent variable. Amortized variational inference (A-VI) instead learns a common inference…

Machine Learning · Statistics 2024-05-27 Charles C. Margossian , David M. Blei

Vertical federated learning is a natural and elegant approach to integrate multi-view data vertically partitioned across devices (clients) while preserving their privacies. Apart from the model training, existing methods requires the…

Machine Learning · Computer Science 2024-09-09 Jiyuan Liu , Xinwang Liu , Siqi Wang , Xingchen Hu , Qing Liao , Xinhang Wan , Yi Zhang , Xin Lv , Kunlun He

Vertical federated learning trains models from feature-partitioned datasets across multiple clients, who collaborate without sharing their local data. Standard approaches assume that all feature partitions are available during both training…

Machine Learning · Computer Science 2025-04-23 Pedro Valdeira , Shiqiang Wang , Yuejie Chi

Current variational inference methods for hierarchical Bayesian nonparametric models can neither characterize the correlation structure among latent variables due to the mean-field setting, nor infer the true posterior dimension because of…

Machine Learning · Statistics 2022-04-07 Yirui Liu , Xinghao Qiao , Jessica Lam