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This paper studies a federated edge learning system, in which an edge server coordinates a set of edge devices to train a shared machine learning model based on their locally distributed data samples. During the distributed training, we…

Information Theory · Computer Science 2020-03-03 Xiaopeng Mo , Jie Xu

We consider the $k$-means clustering problem in the dynamic streaming setting, where points from a discrete Euclidean space $\{1, 2, \ldots, \Delta\}^d$ can be dynamically inserted to or deleted from the dataset. For this problem, we…

Data Structures and Algorithms · Computer Science 2019-02-08 Wei Hu , Zhao Song , Lin F. Yang , Peilin Zhong

Edge machine learning can deliver low-latency and private artificial intelligent (AI) services for mobile devices by leveraging computation and storage resources at the network edge. This paper presents an energy-efficient edge processing…

Information Theory · Computer Science 2020-03-03 Kai Yang , Yuanming Shi , Wei Yu , Zhi Ding

Given a set of points in a metric space, the $(k,z)$-clustering problem consists of finding a set of $k$ points called centers, such that the sum of distances raised to the power of $z$ of every data point to its closest center is…

Data Structures and Algorithms · Computer Science 2022-02-28 Vincent Cohen-Addad , Kasper Green Larsen , David Saulpic , Chris Schwiegelshohn

The recent framework of compressive statistical learning aims at designing tractable learning algorithms that use only a heavily compressed representation-or sketch-of massive datasets. Compressive K-Means (CKM) is such a method: it…

Machine Learning · Computer Science 2018-08-01 Vincent Schellekens , Laurent Jacques

We present data streaming algorithms for the $k$-median problem in high-dimensional dynamic geometric data streams, i.e. streams allowing both insertions and deletions of points from a discrete Euclidean space $\{1, 2, \ldots \Delta\}^d$.…

Data Structures and Algorithms · Computer Science 2017-06-14 Vladimir Braverman , Gereon Frahling , Harry Lang , Christian Sohler , Lin F. Yang

Coresets are compact representations of data sets such that models trained on a coreset are provably competitive with models trained on the full data set. As such, they have been successfully used to scale up clustering models to massive…

Machine Learning · Statistics 2018-06-08 Olivier Bachem , Mario Lucic , Andreas Krause

This paper studies the distributed linearly separable computation problem, which is a generalization of many existing distributed computing problems such as distributed gradient descent and distributed linear transform. In this problem, a…

Information Theory · Computer Science 2020-10-06 Kai Wan , Hua Sun , Mingyue Ji , Giuseppe Caire

This paper gives a k-means approximation algorithm that is efficient in the relational algorithms model. This is an algorithm that operates directly on a relational database without performing a join to convert it to a matrix whose rows…

Data Structures and Algorithms · Computer Science 2021-05-24 Benjamin Moseley , Kirk Pruhs , Alireza Samadian , Yuyan Wang

Kernel Principal Component Analysis (KPCA) is a key machine learning algorithm for extracting nonlinear features from data. In the presence of a large volume of high dimensional data collected in a distributed fashion, it becomes very…

Machine Learning · Computer Science 2016-02-16 Maria-Florina Balcan , Yingyu Liang , Le Song , David Woodruff , Bo Xie

We devise coresets for kernel $k$-Means with a general kernel, and use them to obtain new, more efficient, algorithms. Kernel $k$-Means has superior clustering capability compared to classical $k$-Means, particularly when clusters are…

Data Structures and Algorithms · Computer Science 2024-04-09 Shaofeng H. -C. Jiang , Robert Krauthgamer , Jianing Lou , Yubo Zhang

We consider the problem of clustering in the learning-augmented setting, where we are given a data set in $d$-dimensional Euclidean space, and a label for each data point given by an oracle indicating what subsets of points should be…

Machine Learning · Computer Science 2023-03-02 Thy Nguyen , Anamay Chaturvedi , Huy Lê Nguyen

In this work, we study the $k$-means cost function. Given a dataset $X \subseteq \mathbb{R}^d$ and an integer $k$, the goal of the Euclidean $k$-means problem is to find a set of $k$ centers $C \subseteq \mathbb{R}^d$ such that $\Phi(C, X)…

Data Structures and Algorithms · Computer Science 2021-09-10 Anup Bhattacharya , Yoav Freund , Ragesh Jaiswal

Data stream processing is an increasingly important topic due to the prevalence of smart devices and the demand for real-time analytics. Geo-distributed streaming systems, where cloud-based queries utilize data streams from multiple…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-22 Joel Wolfrath , Abhishek Chandra

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

The analysis of continously larger datasets is a task of major importance in a wide variety of scientific fields. In this sense, cluster analysis algorithms are a key element of exploratory data analysis, due to their easiness in the…

Machine Learning · Statistics 2018-01-10 Marco Capó , Aritz Pérez , Jose A. Lozano

Clustering is a critical component of decision-making in todays data-driven environments. It has been widely used in a variety of fields such as bioinformatics, social network analysis, and image processing. However, clustering accuracy…

Machine Learning · Computer Science 2025-07-14 Krishnendu Das , Sumit Gupta , Awadhesh Kumar

The problem of constrained clustering has attracted significant attention in the past decades. In this paper, we study the balanced $k$-center, $k$-median, and $k$-means clustering problems where the size of each cluster is constrained by…

Computational Geometry · Computer Science 2018-09-11 Hu Ding

The k-means clustering algorithm is a popular algorithm that partitions data into k clusters. There are many improvements to accelerate the standard algorithm. Most current research employs upper and lower bounds on point-to-cluster…

Machine Learning · Computer Science 2024-10-22 Andreas Lang , Erich Schubert

The current trend of pushing CNNs deeper with convolutions has created a pressing demand to achieve higher compression gains on CNNs where convolutions dominate the computation and parameter amount (e.g., GoogLeNet, ResNet and Wide ResNet).…

Machine Learning · Computer Science 2018-06-26 Junru Wu , Yue Wang , Zhenyu Wu , Zhangyang Wang , Ashok Veeraraghavan , Yingyan Lin