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Related papers: Model Fusion with Kullback--Leibler Divergence

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In Bayesian inference for mixture models with an unknown number of components, a finite mixture model is usually employed that assumes prior distributions for mixing weights and the number of components. This model is called a mixture of…

Methodology · Statistics 2025-12-25 Fumiya Iwashige , Shintaro Hashimoto

Model averaging is a useful and robust method for dealing with model uncertainty in statistical analysis. Often, it is useful to consider data subset selection at the same time, in which model selection criteria are used to compare models…

Methodology · Statistics 2023-10-26 Ethan T. Neil , Jacob W. Sitison

As a distributed learning paradigm, Federated Learning (FL) faces the communication bottleneck issue due to many rounds of model synchronization and aggregation. Heterogeneous data further deteriorates the situation by causing slow…

Machine Learning · Computer Science 2024-05-24 Zhijie Xie , S. H. Song

This study tackles the efficient estimation of Kullback-Leibler (KL) Divergence in Dirichlet Mixture Models (DMM), crucial for clustering compositional data. Despite the significance of DMMs, obtaining an analytically tractable solution for…

Machine Learning · Statistics 2024-03-20 Samyajoy Pal , Christian Heumann

This paper addresses the problem of summarizing the posterior distributions that typically arise, in a Bayesian framework, when dealing with signal decomposition problems with unknown number of components. Such posterior distributions are…

Computation · Statistics 2011-11-29 Alireza Roodaki , Julien Bect , Gilles Fleury

In many applications in biology, engineering and economics, identifying similarities and differences between distributions of data from complex processes requires comparing finite categorical samples of discrete counts. Statistical…

Methodology · Statistics 2023-07-11 Francesco Camaglia , Ilya Nemenman , Thierry Mora , Aleksandra M. Walczak

Empirical risk minimization, a cornerstone in machine learning, is often hindered by the Optimizer's Curse stemming from discrepancies between the empirical and true data-generating distributions.To address this challenge, the robust…

Machine Learning · Computer Science 2024-08-20 Haojie Yan , Minglong Zhou , Jiayi Guo

The non-parametric version of Amari's dually affine Information Geometry provides a practical calculus to perform computations of interest in statistical machine learning. The method uses the notion of a statistical bundle, a mathematical…

Statistics Theory · Mathematics 2025-04-07 Giovanni Pistone

An initial screening experiment may lead to ambiguous conclusions regarding the factors which are active in explaining the variation of an outcome variable: thus adding follow-up runs becomes necessary. We propose a fully Bayes objective…

Methodology · Statistics 2014-05-13 Guido Consonni , Laura Deldossi

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

GNSS localization is an important part of today's autonomous systems, although it suffers from non-Gaussian errors caused by non-line-of-sight effects. Recent methods are able to mitigate these effects by including the corresponding…

Robotics · Computer Science 2020-03-20 Tim Pfeifer , Peter Protzel

We propose a new causal inference framework to learn causal effects from multiple, decentralized data sources in a federated setting. We introduce an adaptive transfer algorithm that learns the similarities among the data sources by…

Machine Learning · Computer Science 2023-01-03 Thanh Vinh Vo , Arnab Bhattacharyya , Young Lee , Tze-Yun Leong

Recent research has revealed that deep generative models including flow-based models and Variational Autoencoders may assign higher likelihoods to out-of-distribution (OOD) data than in-distribution (ID) data. However, we cannot sample OOD…

Machine Learning · Computer Science 2023-03-03 Yufeng Zhang , Jialu Pan , Wanwei Liu , Zhenbang Chen , Ji Wang , Zhiming Liu , Kenli Li , Hongmei Wei

The future of machine learning lies in moving data collection along with training to the edge. Federated Learning, for short FL, has been recently proposed to achieve this goal. The principle of this approach is to aggregate models learned…

Machine Learning · Computer Science 2023-07-13 Adnan Ben Mansour , Gaia Carenini , Alexandre Duplessis

We propose a new model selection method, the posterior averaging information criterion, for Bayesian model assessment from a predictive perspective. The theoretical foundation is built on the Kullback-Leibler divergence to quantify the…

Methodology · Statistics 2020-09-22 Shouhao Zhou

Federated Learning (FL) facilitates collaborative machine learning by training models on local datasets, and subsequently aggregating these local models at a central server. However, the frequent exchange of model parameters between clients…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-15 Liwei Wang , Jun Li , Wen Chen , Qingqing Wu , Ming Ding

Although spatial information of images usually enhance the robustness of the Fuzzy C-Means (FCM) algorithm, it greatly increases the computational costs for image segmentation. To achieve a sound trade-off between the segmentation…

Computer Vision and Pattern Recognition · Computer Science 2020-07-02 Cong Wang , Witold Pedrycz , ZhiWu Li , MengChu Zhou

We consider a distributed learning setup where a network of agents sequentially access realizations of a set of random variables with unknown distributions. The network objective is to find a parametrized distribution that best describes…

Optimization and Control · Mathematics 2016-05-10 Angelia Nedić , Alex Olshevsky , César Uribe

Federated learning has attracted significant attention as a privacy-preserving framework for training personalised models on multi-source heterogeneous data. However, most existing approaches are unable to handle scenarios where subgroup…

Methodology · Statistics 2025-10-14 Changxin Yang , Zhongyi Zhu , Heng Lian

A novel sequential inferential method for Bayesian dynamic generalised linear models is presented, addressing both univariate and multivariate $k$-parametric exponential families. It efficiently handles diverse responses, including…

Methodology · Statistics 2025-01-15 Mariane Branco Alves , Helio S. Migon , Silvaneo V. Santos , Raíra Marotta