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Multitask learning, i.e. taking advantage of the relatedness of individual tasks in order to improve performance on all of them, is a core challenge in the field of machine learning. We focus on matrix regression tasks where the rank of the…

Machine Learning · Computer Science 2019-10-29 Yotam Gigi , Ami Wiesel , Sella Nevo , Gal Elidan , Avinatan Hassidim , Yossi Matias

We consider a real-world scenario in which a newly-established pilot project needs to make inferences for newly-collected data with the help of other parties under privacy protection policies. Current federated learning (FL) paradigms are…

Machine Learning · Computer Science 2023-05-09 Xin-Chun Li , Yang Yang , De-Chuan Zhan

Finite mixture models are flexible methods that are commonly used for model-based clustering. A recent focus in the model-based clustering literature is to highlight the difference between the number of components in a mixture model and the…

Methodology · Statistics 2023-08-03 Garritt L. Page , Massimo Ventrucci , Maria Franco-Villoria

Federated learning (FL) enables the collaborative training of deep neural networks across decentralized data archives (i.e., clients) without sharing the local data of the clients. Most of the existing FL methods assume that the data…

Computer Vision and Pattern Recognition · Computer Science 2025-03-14 Barış Büyüktaş , Gencer Sumbul , Begüm Demir

Maximum likelihood or restricted maximum likelihood (REML) estimates of the parameters in linear mixed-effects models can be determined using the lmer function in the lme4 package for R. As for most model-fitting functions in R, the model…

Computation · Statistics 2014-06-24 Douglas Bates , Martin Mächler , Ben Bolker , Steve Walker

Random Forest (RF) is a widely used ensemble learning technique known for its robust classification performance across diverse domains. However, it often relies on hundreds of trees and all input features, leading to high inference cost and…

Machine Learning · Computer Science 2025-07-08 Sijan Bhattarai , Saurav Bhandari , Girija Bhusal , Saroj Shakya , Tapendra Pandey

Item response theory (IRT) is a popular modeling paradigm for measuring subject latent traits and item properties according to discrete responses in tests or questionnaires. There are very limited discussions on heterogeneity pattern…

Applications · Statistics 2020-06-02 Guanyu Hu , Zhihua Ma , Insu Paek

This paper addresses the problem of full model estimation for non-parametric finite mixture models. It presents an approach for selecting the number of components and the subset of discriminative variables (i.e., the subset of variables…

Statistics Theory · Mathematics 2021-12-13 Marie Du Roy de Chaumaray , Matthieu Marbac

We propose a calibrated multivariate regression method named CMR for fitting high dimensional multivariate regression models. Compared with existing methods, CMR calibrates regularization for each regression task with respect to its noise…

Machine Learning · Statistics 2017-06-06 Han Liu , Lie Wang , Tuo Zhao

Federated Learning (FL) trains deep models across edge devices without centralizing raw data, preserving user privacy. However, client heterogeneity slows down convergence and limits global model accuracy. Clustered FL (CFL) mitigates this…

Machine Learning · Computer Science 2026-02-10 Minghao Li , Dmitrii Avdiukhin , Rana Shahout , Nikita Ivkin , Vladimir Braverman , Minlan Yu

As a promising privacy-preserving machine learning method, Federated Learning (FL) enables global model training across clients without compromising their confidential local data. However, existing FL methods suffer from the problem of low…

Machine Learning · Computer Science 2022-08-23 Ming Hu , Zhihao Yue , Zhiwei Ling , Xian Wei , Mingsong Chen

Estimation of the number of components (or order) of a finite mixture model is a long standing and challenging problem in statistics. We propose the Group-Sort-Fuse (GSF) procedure -- a new penalized likelihood approach for simultaneous…

Methodology · Statistics 2021-08-06 Tudor Manole , Abbas Khalili

Finite mixtures of regression models provide a flexible modeling framework for many phenomena. Using moment-based estimation of the regression parameters, we develop unbiased estimators with a minimum of assumptions on the mixture…

Statistics Theory · Mathematics 2019-05-17 Claus Thorn Ekstrøm , Christian Bressen Pipper

While machine learning has emerged in recent years as a useful tool for rapid prediction of materials properties, generating sufficient data to reliably train models without overfitting is still impractical for many applications. Towards…

Materials Science · Physics 2022-07-29 Rees Chang , Yu-Xiong Wang , Elif Ertekin

Federated learning has received significant attention for its ability to simultaneously protect customer privacy and leverage distributed data from multiple devices for model training. However, conventional approaches often focus on…

Machine Learning · Computer Science 2025-10-07 Jiahao Zeng , Wolong Xing , Liangtao Shi , Xin Huang , Jialin Wang , Zhile Cao , Zhenkui Shi

We consider {\em Mixed Linear Regression (MLR)}, where training data have been generated from a mixture of distinct linear models (or clusters) and we seek to identify the corresponding coefficient vectors. We introduce a {\em Mixed Integer…

Machine Learning · Statistics 2019-09-10 Taiyao Wang , Ioannis Ch. Paschalidis

The fuzzy linear regression (FLR) modeling was first proposed making use of linear programming and then followed by many improvements in a variety of ways. In almost all approaches changing the meters, objective function, and restrictions…

Statistics Theory · Mathematics 2019-03-04 M. Kashani , M. Arashi , M. R. Rabiei

We study the problem of federated clustering when the total number of clusters $K$ across clients is unknown, and the clients have heterogeneous but potentially overlapping cluster sets in their local data. To that end, we develop FedGEM: a…

Machine Learning · Computer Science 2026-01-30 Michael Ibrahim , Nagi Gebraeel , Weijun Xie

In this paper, we introduce a method for fine-tuning Large Language Models (LLMs), inspired by Multi-Task learning in a federated manner. Our approach leverages the structure of each client's model and enables a learning scheme that…

Machine Learning · Computer Science 2024-10-22 Ahmed Elbakary , Chaouki Ben Issaid , Tamer ElBatt , Karim Seddik , Mehdi Bennis

Efficient benchmarking techniques aim to lower the computational cost of evaluating LLMs by predicting full benchmark scores using only a subset of a benchmark's questions. By reframing this problem as an instance of multiple regression…

Machine Learning · Statistics 2026-05-26 Sam Bowyer , Acyr Locatelli , Kris Cao
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