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Clustering algorithms partition a dataset into groups of similar points. The primary contribution of this article is the Multiscale Spatially-Regularized Diffusion Learning (M-SRDL) clustering algorithm, which uses spatially-regularized…

Machine Learning · Computer Science 2022-04-08 Sam L. Polk , James M. Murphy

We consider learning in decentralized heterogeneous networks: agents seek to minimize a convex functional that aggregates data across the network, while only having access to their local data streams. We focus on the case where agents seek…

Optimization and Control · Mathematics 2021-06-02 Hrusikesha Pradhan , Amrit Singh Bedi , Alec Koppel , Ketan Rajawat

A new procedure for simultaneously finding the optimal cluster structure of multivariate functional objects and finding the subspace to represent the cluster structure is presented. The method is based on the $k$-means criterion for…

Methodology · Statistics 2014-02-11 Michio Yamamoto , Yoshikazu Terada

Recent advances in operator learning theory have improved our knowledge about learning maps between infinite dimensional spaces. However, for large-scale engineering problems such as concurrent multiscale simulation for mechanical…

Machine Learning · Computer Science 2022-12-05 Owen Huang , Sourav Saha , Jiachen Guo , Wing Kam Liu

Clustering samples according to an effective metric and/or vector space representation is a challenging unsupervised learning task with a wide spectrum of applications. Among several clustering algorithms, k-means and its kernelized version…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-10 Marco Jacopo Ferrarotti , Sergio Decherchi , Walter Rocchia

Sparse matrix-vector multiplication (SpMV) is one of the most important kernels in high-performance computing (HPC), yet SpMV normally suffers from ill performance on many devices. Due to ill performance, SpMV normally requires special care…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-09 Phillip Allen Lane , Joshua Dennis Booth

Rapid, reliable, and accurate interpretation of medical time-series signals is crucial for high-stakes clinical decision-making. Deep learning methods offered unprecedented performance in medical signal processing but at a cost: they were…

Signal Processing · Electrical Eng. & Systems 2024-10-08 Sully F. Chen , Zhicheng Guo , Cheng Ding , Xiao Hu , Cynthia Rudin

Motivated by the increasing availability of low- and mixed-precision arithmetic on modern hardware, we develop mixed-precision variants of Lloyd's algorithm for k-means clustering. The main ingredient is a family of mixed-precision kernels…

Numerical Analysis · Mathematics 2026-05-26 Erin Carson , Xinye Chen , Xiaobo Liu

This papers introduces an algorithm for the solution of multiple kernel learning (MKL) problems with elastic-net constraints on the kernel weights. The algorithm compares very favourably in terms of time and space complexity to existing…

Machine Learning · Statistics 2019-04-08 Luca Citi

The $k$-means algorithm is arguably the most popular nonparametric clustering method but cannot generally be applied to datasets with incomplete records. The usual practice then is to either impute missing values under an assumed…

Machine Learning · Statistics 2018-09-11 Andrew Lithio , Ranjan Maitra

Multimodal representation learning is commonly built on a shared-private decomposition, treating latent information as either common to all modalities or specific to one. This binary view is often inadequate: many factors are shared by only…

Machine Learning · Statistics 2026-04-08 Huichao Li , Junhan Yu , Doudou Zhou

The problem of wideband massive MIMO channel estimation is considered. Targeting for low complexity algorithms as well as small training overhead, a compressive sensing (CS) approach is pursued. Unfortunately, due to the Kronecker-type…

Information Theory · Computer Science 2018-03-30 Gerhard Wunder , Ingo Roth , Axel Flinth , Mahdi Barzegar , Saeid Haghighatshoar , Giuseppe Caire , Gitta Kutyniok

Multiple datasets containing different types of features may be available for a given task. For instance, users' profiles can be used to group users for recommendation systems. In addition, a model can also use users' historical behaviors…

Machine Learning · Computer Science 2016-05-10 Weixiang Shao , Xiaoxiao Shi , Philip S. Yu

Almost all existing hierarchical federated learning (FL) models are limited to two aggregation layers, restricting scalability and flexibility in complex, large-scale networks. In this work, we propose a Multi-Layer Hierarchical Federated…

Machine Learning · Computer Science 2026-02-17 Seyed Mohammad Azimi-Abarghouyi , Carlo Fischione

Nowadays, hyperspectral image classification widely copes with spatial information to improve accuracy. One of the most popular way to integrate such information is to extract hierarchical features from a multiscale segmentation. In the…

Computer Vision and Pattern Recognition · Computer Science 2016-06-17 Yanwei Cui , Laetitia Chapel , Sébastien Lefèvre

Cognitive diagnosis models (CDMs) are a popular tool for assessing students' mastery of sets of skills. Given a set of $K$ skills tested on an assessment, students are classified into one of $2^K$ latent skill set profiles that represent…

Applications · Statistics 2021-04-07 Alan Mishler , Rebecca Nugent

We consider a network of binary-valued sensors with a fusion center. The fusion center has to perform K-means clustering on the binary data transmitted by the sensors. In order to reduce the amount of data transmitted within the network,…

Information Theory · Computer Science 2018-01-18 Elsa Dupraz

As a promising step, the performance of data analysis and feature learning are able to be improved if certain pattern matching mechanism is available. One of the feasible solutions can refer to the importance estimation of instances, and…

Machine Learning · Computer Science 2020-11-17 Miao Cheng , Xinge You

Clustering is one of the most fundamental tools in the artificial intelligence area, particularly in the pattern recognition and learning theory. In this paper, we propose a simple, but novel approach for variance-based k-clustering tasks,…

Machine Learning · Computer Science 2020-09-17 Yicheng Xu , Vincent Chau , Chenchen Wu , Yong Zhang , Vassilis Zissimopoulos , Yifei Zou

The k-means algorithm is one of the most common clustering algorithms and widely used in data mining and pattern recognition. The increasing computational requirement of big data applications makes hardware acceleration for the k-means…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-23 Zhehao Li , Jifang Jin , Lingli Wang