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Stein variational gradient decent (SVGD) has been shown to be a powerful approximate inference algorithm for complex distributions. However, the standard SVGD requires calculating the gradient of the target density and cannot be applied…

Machine Learning · Statistics 2018-06-08 Jun Han , Qiang Liu

Recently, there is a growing interest in the study of median-based algorithms for distributed non-convex optimization. Two prominent such algorithms include signSGD with majority vote, an effective approach for communication reduction via…

Machine Learning · Computer Science 2019-06-07 Xiangyi Chen , Tiancong Chen , Haoran Sun , Zhiwei Steven Wu , Mingyi Hong

In this paper, we propose an infinite-dimensional version of the Stein variational gradient descent (iSVGD) method for solving Bayesian inverse problems. The method can generate approximate samples from posteriors efficiently. Based on the…

Numerical Analysis · Mathematics 2026-02-09 Junxiong Jia , Peijun Li , Deyu Meng

We provide the first finite-particle convergence rate for Stein variational gradient descent (SVGD), a popular algorithm for approximating a probability distribution with a collection of particles. Specifically, whenever the target…

Machine Learning · Computer Science 2023-11-03 Jiaxin Shi , Lester Mackey

We propose and analyze a Stein variational reduced basis method (SVRB) to solve large-scale PDE-constrained Bayesian inverse problems. To address the computational challenge of drawing numerous samples requiring expensive PDE solves from…

Numerical Analysis · Mathematics 2020-02-26 Peng Chen , Omar Ghattas

Federated Learning (FL) enables collaborative model training across multiple clients without sharing their private data. However, data heterogeneity across clients leads to client drift, which degrades the overall generalization performance…

Machine Learning · Computer Science 2026-03-02 Alina Devkota , Jacob Thrasher , Donald Adjeroh , Binod Bhattarai , Prashnna K. Gyawali

Federated learning (FL) enables multiple devices to collaboratively learn a global model without sharing their personal data. In real-world applications, the different parties are likely to have heterogeneous data distribution and limited…

Machine Learning · Computer Science 2021-11-23 Ouiame Marnissi , Hajar El Hammouti , El Houcine Bergou

This paper proposes an algorithm for Federated Learning (FL) with a two-layer structure that achieves both variance reduction and a faster convergence rate to an optimal solution in the setting where each agent has an arbitrary probability…

Machine Learning · Computer Science 2023-04-04 M. R. Rostami , S. S. Kia

Stochastic gradient descent (SGD) provides a simple and efficient way to solve a broad range of machine learning problems. Here, we focus on distribution regression (DR), involving two stages of sampling: Firstly, we regress from…

Machine Learning · Statistics 2021-03-08 Nicole Mücke

The decentralized gradient descent (DGD) algorithm, and its sibling, diffusion, are workhorses in decentralized machine learning, distributed inference and estimation, and multi-agent coordination. We propose a novel, principled framework…

Signal Processing · Electrical Eng. & Systems 2025-06-04 Erik G. Larsson , Nicolo Michelusi

Approximate Bayesian inference estimates descriptors of an intractable target distribution - in essence, an optimization problem within a family of distributions. For example, Langevin dynamics (LD) extracts asymptotically exact samples…

Machine Learning · Statistics 2021-10-11 Zheyang Shen , Markus Heinonen , Samuel Kaski

Distributed learning is commonly used for accelerating model training by harnessing the computational capabilities of multiple-edge devices. However, in practical applications, the communication delay emerges as a bottleneck due to the…

Machine Learning · Computer Science 2024-03-26 Chanho Park , H. Vincent Poor , Namyoon Lee

Distributed-memory implementations of numerical optimization algorithm, such as stochastic gradient descent (SGD), require interprocessor communication at every iteration of the algorithm. On modern distributed-memory clusters where…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-14 Aditya Devarakonda , Ramakrishnan Kannan

We propose a general framework for distributed stochastic optimization under delayed gradient models. In this setting, $n$ local agents leverage their own data and computation to assist a central server in minimizing a global objective…

Optimization and Control · Mathematics 2026-03-04 Xinran Zheng , Tara Javidi , Behrouz Touri

Kernelized Stein discrepancy (KSD), though being extensively used in goodness-of-fit tests and model learning, suffers from the curse-of-dimensionality. We address this issue by proposing the sliced Stein discrepancy and its scalable and…

Machine Learning · Computer Science 2021-03-18 Wenbo Gong , Yingzhen Li , José Miguel Hernández-Lobato

We study federated machine learning (ML) at the wireless edge, where power- and bandwidth-limited wireless devices with local datasets carry out distributed stochastic gradient descent (DSGD) with the help of a remote parameter server (PS).…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-08 Mohammad Mohammadi Amiri , Deniz Gunduz

Projected Gradient Descent (PGD) is a strong and widely used first-order adversarial attack, yet its computational cost scales poorly, as all training samples undergo identical iterative inner-loop optimization despite contributing…

Machine Learning · Computer Science 2025-12-29 Youran Ye , Dejin Wang , Ajinkya Bhandare

Decentralized learning enables edge users to collaboratively train models by exchanging information via device-to-device communication, yet prior works have been limited to wireless networks with fixed topologies and reliable workers. In…

Information Theory · Computer Science 2022-02-03 Eunjeong Jeong , Matteo Zecchin , Marios Kountouris

Federated learning (FL) is a distributed machine learning paradigm where multiple clients conduct local training based on their private data, then the updated models are sent to a central server for global aggregation. The practical…

Machine Learning · Computer Science 2025-04-03 Harsh Vardhan , Xiaofan Yu , Tajana Rosing , Arya Mazumdar

Federated learning (FL) allows multiple clients cooperatively train models without disclosing local data. However, the existing works fail to address all these practical concerns in FL: limited communication resources, dynamic network…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-20 Zhida Jiang , Yang Xu , Hongli Xu , Zhiyuan Wang , Chen Qian
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