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Federated learning's poor performance in the presence of heterogeneous data remains one of the most pressing issues in the field. Personalized federated learning departs from the conventional paradigm in which all clients employ the same…

Machine Learning · Computer Science 2024-02-27 Mengen Luo , Ercan Engin Kuruoglu

Semi- and non-parametric mixture of regressions are a very useful flexible class of mixture of regressions in which some or all of the parameters are non-parametric functions of the covariates. These models are, however, based on the…

Methodology · Statistics 2026-01-21 Peterson Mambondimumwe , Sphiwe B. Skhosana , Najmeh Nakhaei Rad

Federated Learning is a framework that jointly trains a model \textit{with} complete knowledge on a remotely placed centralized server, but \textit{without} the requirement of accessing the data stored in distributed machines. Some work…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-26 Jia Qian , Lars Kai Hansen , Xenofon Fafoutis , Prayag Tiwari , Hari Mohan Pandey

We present a novel weighted average model based on the mixture of experts (MoE) concept to provide robustness in Federated learning (FL) against the poisoned/corrupted/outdated local models. These threats along with the non-IID nature of…

Machine Learning · Computer Science 2021-04-26 Saeedeh Parsaeefard , Sayed Ehsan Etesami , Alberto Leon Garcia

We resolve one of the major outstanding problems in robust statistics. In particular, if $X$ is an evenly weighted mixture of two arbitrary $d$-dimensional Gaussians, we devise a polynomial time algorithm that given access to samples from…

Data Structures and Algorithms · Computer Science 2020-07-14 Daniel M. Kane

Statistical heterogeneity is a measure of how skewed the samples of a dataset are. It is a common problem in the study of differential privacy that the usage of a statistically heterogeneous dataset results in a significant loss of…

Machine Learning · Computer Science 2024-12-02 Mary Scott , Graham Cormode , Carsten Maple

Federated learning is a decentralized and privacy-preserving technique that enables multiple clients to collaborate with a server to learn a global model without exposing their private data. However, the presence of statistical…

Machine Learning · Computer Science 2023-07-06 Shiyu Liu , Shaogao Lv , Dun Zeng , Zenglin Xu , Hui Wang , Yue Yu

We study multivariate linear regression under Gaussian covariates in two settings, where data may be erased or corrupted by an adversary under a coordinate-wise budget. In the incomplete data setting, an adversary may inspect the dataset…

Data Structures and Algorithms · Computer Science 2025-09-24 Ilias Diakonikolas , Jelena Diakonikolas , Daniel M. Kane , Jasper C. H. Lee , Thanasis Pittas

Federated learning brings potential benefits of faster learning, better solutions, and a greater propensity to transfer when heterogeneous data from different parties increases diversity. However, because federated learning tasks tend to be…

Machine Learning · Computer Science 2021-01-18 Duc Thien Nguyen , Shiau Hoong Lim , Laura Wynter , Desmond Cai

Mixtures of Gaussian factors are powerful tools for modeling an unobserved heterogeneous population, offering - at the same time - dimension reduction and model-based clustering. Unfortunately, the high prevalence of spurious solutions and…

Methodology · Statistics 2016-08-08 L. A. García-Escudero , A. Gordaliza , F. Greselin , S. Ingrassia , A. Mayo-Iscar

We give an efficient algorithm for robustly clustering of a mixture of two arbitrary Gaussians, a central open problem in the theory of computationally efficient robust estimation, assuming only that the the means of the component Gaussians…

Data Structures and Algorithms · Computer Science 2020-06-02 He Jia , Santosh Vempala

Intelligent fault diagnosis is essential to safe operation of machinery. However, due to scarce fault samples and data heterogeneity in field machinery, deep learning based diagnosis methods are prone to over-fitting with poor…

Machine Learning · Computer Science 2022-11-18 Sheng Guo , Zengxiang Li , Hui Liu , Shubao Zhao , Cheng Hao Jin

In the expanding field of machine learning, federated learning has emerged as a pivotal methodology for distributed data environments, ensuring privacy while leveraging decentralized data sources. However, the heterogeneity of client data…

Machine Learning · Computer Science 2025-01-28 Alice Smith , Bob Johnson , Michael Geller

We systematically study various network Expectation-Maximization (EM) algorithms for the Gaussian mixture model within the framework of decentralized federated learning. Our theoretical investigation reveals that directly extending the…

Machine Learning · Statistics 2024-11-11 Shuyuan Wu , Bin Du , Xuetong Li , Hansheng Wang

Fairness and robustness are two important concerns for federated learning systems. In this work, we identify that robustness to data and model poisoning attacks and fairness, measured as the uniformity of performance across devices, are…

Machine Learning · Computer Science 2021-06-17 Tian Li , Shengyuan Hu , Ahmad Beirami , Virginia Smith

Federated learning allows clients to collaboratively learn statistical models while keeping their data local. Federated learning was originally used to train a unique global model to be served to all clients, but this approach might be…

Machine Learning · Computer Science 2022-06-20 Othmane Marfoq , Giovanni Neglia , Laetitia Kameni , Richard Vidal

We study a new form of federated learning where the clients train personalized local models and make predictions jointly with the server-side shared model. Using this new federated learning framework, the complexity of the central shared…

Machine Learning · Computer Science 2020-03-31 Alekh Agarwal , John Langford , Chen-Yu Wei

The traditional approach in FL tries to learn a single global model collaboratively with the help of many clients under the orchestration of a central server. However, learning a single global model might not work well for all clients…

Machine Learning · Computer Science 2021-05-11 Saeed Vahidian , Mahdi Morafah , Bill Lin

Federated inference, in the form of one-shot federated learning, edge ensembles, or federated ensembles, has emerged as an attractive solution to combine predictions from multiple models. This paradigm enables each model to remain local and…

We study the problem of learning mixtures of Gaussians with censored data. Statistical learning with censored data is a classical problem, with numerous practical applications, however, finite-sample guarantees for even simple latent…

Machine Learning · Computer Science 2023-06-30 Wai Ming Tai , Bryon Aragam