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Identifying clients with similar objectives and learning a model-per-cluster is an intuitive and interpretable approach to personalization in federated learning. However, doing so with provable and optimal guarantees has remained an open…

Machine Learning · Computer Science 2023-12-19 Mariel Werner , Lie He , Michael Jordan , Martin Jaggi , Sai Praneeth Karimireddy

In large groups, every collaborative act requires balancing two pressures: the need to achieve behavioural synchrony and the need to keep free riding to a minimum. This paper introduces a model of collaboration that requires both…

Social and Information Networks · Computer Science 2023-09-06 Tamas David-Barrett

The intra-cluster correlation coefficient (ICC) plays an important role while designing the cluster randomized trials (CRTs). Often optimal CRTs are designed assuming that the magnitude of the ICC is constant across the clusters. However,…

Computation · Statistics 2019-02-21 Satya Prakash Singh , Pradeep Yadav

Clustering is a fundamental task in unsupervised learning. The focus of this paper is the Correlation Clustering functional which combines positive and negative affinities between the data points. The contribution of this paper is two fold:…

Computer Vision and Pattern Recognition · Computer Science 2011-12-14 Shai Bagon , Meirav Galun

The use of external data in clinical trials offers numerous advantages, such as reducing the number of patients, increasing study power, and shortening trial durations. In Bayesian inference, information in external data can be transferred…

Methodology · Statistics 2025-09-17 Xuetao Lu , J. Jack Lee

Consensus clustering, a fundamental task in machine learning and data analysis, aims to aggregate multiple input clusterings of a dataset, potentially based on different non-sensitive attributes, into a single clustering that best…

Machine Learning · Computer Science 2025-06-18 Diptarka Chakraborty , Kushagra Chatterjee , Debarati Das , Tien Long Nguyen , Romina Nobahari

Maximum likelihood estimates (MLEs) are asymptotically normally distributed, and this property is used in meta-analyses to test the heterogeneity of estimates, either for a single cluster or for several sub-groups. More recently, MLEs for…

Statistics Theory · Mathematics 2022-02-28 Anthony J. Webster

Overlapping clusters are common in models of many practical data-segmentation applications. Suppose we are given $n$ elements to be clustered into $k$ possibly overlapping clusters, and an oracle that can interactively answer queries of the…

Machine Learning · Computer Science 2019-10-29 Wasim Huleihel , Arya Mazumdar , Muriel Médard , Soumyabrata Pal

Mixed data comprises both numeric and categorical features, and mixed datasets occur frequently in many domains, such as health, finance, and marketing. Clustering is often applied to mixed datasets to find structures and to group similar…

Machine Learning · Computer Science 2019-03-20 Amir Ahmad , Shehroz S. Khan

We investigate the sets of joint probability distributions that maximize the average multi-information over a collection of margins. These functionals serve as proxies for maximizing the multi-information of a set of variables or the mutual…

Information Theory · Computer Science 2019-06-14 Thomas Merkh , Guido Montúfar

The challenge of clustering short text data lies in balancing informativeness with interpretability. Traditional evaluation metrics often overlook this trade-off. Inspired by linguistic principles of communicative efficiency, this paper…

Computation and Language · Computer Science 2025-04-08 Justin Miller , Tristram Alexander

In this paper we extend an earlier result within Dempster-Shafer theory ["Fast Dempster-Shafer Clustering Using a Neural Network Structure," in Proc. Seventh Int. Conf. Information Processing and Management of Uncertainty in Knowledge-Based…

Artificial Intelligence · Computer Science 2007-05-23 Johan Schubert

We study the problem of clustering a set of items from binary user feedback. Such a problem arises in crowdsourcing platforms solving large-scale labeling tasks with minimal effort put on the users. For example, in some of the recent…

Machine Learning · Statistics 2024-12-20 Kaito Ariu , Jungseul Ok , Alexandre Proutiere , Se-Young Yun

There are various cluster validity indices used for evaluating clustering results. One of the main objectives of using these indices is to seek the optimal unknown number of clusters. Some indices work well for clusters with different…

Machine Learning · Statistics 2024-01-09 Nathakhun Wiroonsri

With the recent growth in data availability and complexity, and the associated outburst of elaborate modelling approaches, model selection tools have become a lifeline, providing objective criteria to deal with this increasingly challenging…

Methodology · Statistics 2020-10-08 Alessandro Casa , Luca Scrucca , Giovanna Menardi

Multi-view clustering leverages consistent and complementary information across multiple views to provide more comprehensive insights than single-view analysis. However, the heterogeneity and redundancy of multi-view data pose significant…

Optimization and Control · Mathematics 2025-08-12 Xiangru Xing , Yan Li , Xin Wang , Huangyue Chen , Xianchao Xiu

In this paper, we present a novel method for co-clustering, an unsupervised learning approach that aims at discovering homogeneous groups of data instances and features by grouping them simultaneously. The proposed method uses the entropy…

Machine Learning · Statistics 2017-05-22 Charlotte Laclau , Ievgen Redko , Basarab Matei , Younès Bennani , Vincent Brault

This paper studies the application of the blended dynamics approach towards distributed optimization problem where the global cost function is given by a sum of local cost functions. The benefits include (i) individual cost function need…

Optimization and Control · Mathematics 2021-02-26 Seungjoon Lee , Hyungbo Shim

Clustering is a fundamental machine learning task which has been widely studied in the literature. Classic clustering methods follow the assumption that data are represented as features in a vectorized form through various representation…

Machine Learning · Computer Science 2022-06-16 Sheng Zhou , Hongjia Xu , Zhuonan Zheng , Jiawei Chen , Zhao li , Jiajun Bu , Jia Wu , Xin Wang , Wenwu Zhu , Martin Ester

In discrete k-center and k-median clustering, we are given a set of points P in a metric space M, and the task is to output a set C \subseteq ? P, |C| = k, such that the cost of clustering P using C is as small as possible. For k-center,…

Data Structures and Algorithms · Computer Science 2013-07-10 Nirman Kumar , Benjamin Raichel
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