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Variational inference algorithms such as belief propagation have had tremendous impact on our ability to learn and use graphical models, and give many insights for developing or understanding exact and approximate inference. However,…

Artificial Intelligence · Computer Science 2012-10-19 Qiang Liu , Alexander T. Ihler

While statistics focusses on hypothesis testing and on estimating (properties of) the true sampling distribution, in machine learning the performance of learning algorithms on future data is the primary issue. In this paper we bridge the…

Machine Learning · Computer Science 2009-12-30 Marcus Hutter

The automation of probabilistic reasoning is one of the primary aims of machine learning. Recently, the confluence of variational inference and deep learning has led to powerful and flexible automatic inference methods that can be trained…

Machine Learning · Statistics 2021-02-10 Luca Ambrogioni , Gianluigi Silvestri , Marcel van Gerven

Traditional Federated Learning (FL) methods encounter significant challenges when dealing with heterogeneous data and providing personalized solutions for non-IID scenarios. Personalized Federated Learning (PFL) approaches aim to address…

Machine Learning · Computer Science 2025-11-11 Yasaman Saadati , Mohammad Rostami , M. Hadi Amini

Federated Learning (FL) facilitates collaborative model training across decentralized clients while preserving data privacy by avoiding raw data exchange. Despite its potential, FL performance is often compromised by data heterogeneity…

Machine Learning · Computer Science 2026-05-12 Qijun Hou , Yuchen Shi , Pingyi Fan , Khaled B. Letaief

We present a federated learning approach for Bayesian model-based clustering of large-scale binary and categorical datasets. We introduce a principled 'divide and conquer' inference procedure using variational inference with local merge and…

Machine Learning · Statistics 2025-11-13 Jackie Rao , Francesca L. Crowe , Tom Marshall , Sylvia Richardson , Paul D. W. Kirk

The recent decades have seen a surge of interests in distributed computing. Existing work focus primarily on either distributed computing platforms, data query tools, or, algorithms to divide big data and conquer at individual machines etc.…

Machine Learning · Statistics 2019-08-01 Donghui Yan , Ying Xu

In this article, we propose a variational inference formulation of auto-associative memories, allowing us to combine perceptual inference and memory retrieval into the same mathematical framework. In this formulation, the prior probability…

Machine Learning · Computer Science 2022-10-18 Louis Annabi , Alexandre Pitti , Mathias Quoy

Stable partitioned techniques for simulating unsteady fluid-structure interaction (FSI) are known to be computationally expensive when high added-mass is involved. Multiple coupling strategies have been developed to accelerate these…

Computational Engineering, Finance, and Science · Computer Science 2025-02-18 Azzeddine Tiba , Thibault Dairay , Florian de Vuyst , Iraj Mortazavi , Juan-Pedro Berro Ramirez

Federated Learning (FL) has emerged as a transformative paradigm in the field of distributed machine learning, enabling multiple clients such as mobile devices, edge nodes, or organizations to collaboratively train a shared global model…

Machine Learning · Computer Science 2026-03-09 Ratun Rahman

We study optimization algorithms for the finite sum problems frequently arising in machine learning applications. First, we propose novel variants of stochastic gradient descent with a variance reduction property that enables linear…

Machine Learning · Computer Science 2017-07-06 Jakub Konečný

We propose a framework for training neural networks that are coupled with partial differential equations (PDEs) in a parallel computing environment. Unlike most distributed computing frameworks for deep neural networks, our focus is to…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-25 Kailai Xu , Weiqiang Zhu , Eric Darve

Variational inference (VI) is a specific type of approximate Bayesian inference that approximates an intractable posterior distribution with a tractable one. VI casts the inference problem as an optimization problem, more specifically, the…

Machine Learning · Computer Science 2022-12-20 Felix Leibfried

We develop a parallel variational inference (VI) procedure for use in data-distributed settings, where each machine only has access to a subset of data and runs VI independently, without communicating with other machines. This type of…

Machine Learning · Statistics 2015-10-15 Willie Neiswanger , Chong Wang , Eric Xing

We present a new category of physics-informed neural networks called physics informed variational embedding generative adversarial network (PI-VEGAN), that effectively tackles the forward, inverse, and mixed problems of stochastic…

Machine Learning · Computer Science 2023-07-24 Ruisong Gao , Yufeng Wang , Min Yang , Chuanjun Chen

Partial model personalization, which encompasses both shared and personal variables in its formulation, is a critical optimization problem in federated learning. It balances individual client needs with collective knowledge utilization, and…

Optimization and Control · Mathematics 2023-10-02 Yiming Chen , Liyuan Cao , Kun Yuan , Zaiwen Wen

Modern neural network architectures have achieved remarkable accuracies but remain highly dependent on their training data, often lacking interpretability in their learned mappings. While effective on large datasets, they tend to overfit on…

Machine Learning · Computer Science 2025-03-19 Pavia Bera , Sanjukta Bhanja

Federated learning is a form of distributed learning with the key challenge being the non-identically distributed nature of the data in the participating clients. In this paper, we extend federated learning to the setting where multiple…

Machine Learning · Computer Science 2022-07-12 Neelkamal Bhuyan , Sharayu Moharir

Many problems in machine learning are naturally expressed in the language of undirected graphical models. Here, we propose black-box learning and inference algorithms for undirected models that optimize a variational approximation to the…

Machine Learning · Computer Science 2017-11-20 Volodymyr Kuleshov , Stefano Ermon

Deep neural networks have shown the ability to extract universal feature representations from data such as images and text that have been useful for a variety of learning tasks. However, the fruits of representation learning have yet to be…

Machine Learning · Computer Science 2023-03-28 Liam Collins , Hamed Hassani , Aryan Mokhtari , Sanjay Shakkottai
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