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The goal of coreset selection methods is to identify representative subsets of datasets for efficient model training. Yet, existing methods often ignore the possibility of annotation errors and require fixed pruning ratios, making them…

We present algorithms that create coresets in an online setting for clustering problems according to a wide subset of Bregman divergences. Notably, our coresets have a small additive error, similar in magnitude to the lightweight coresets…

Data Structures and Algorithms · Computer Science 2020-12-14 Rachit Chhaya , Jayesh Choudhari , Anirban Dasgupta , Supratim Shit

Previous work showed empirically that large neural networks can be significantly reduced in size while preserving their accuracy. Model compression became a central research topic, as it is crucial for deployment of neural networks on…

Machine Learning · Computer Science 2020-01-06 Ben Mussay , Margarita Osadchy , Vladimir Braverman , Samson Zhou , Dan Feldman

We present algorithms for the computation of $\varepsilon$-coresets for $k$-median clustering of point sequences in $\mathbb{R}^d$ under the $p$-dynamic time warping (DTW) distance. Coresets under DTW have not been investigated before, and…

Computational Geometry · Computer Science 2024-03-08 Jacobus Conradi , Benedikt Kolbe , Ioannis Psarros , Dennis Rohde

We consider the problem of constructing small coresets for $k$-Median in Euclidean spaces. Given a large set of data points $P\subset \mathbb{R}^d$, a coreset is a much smaller set $S\subset \mathbb{R}^d$, so that the $k$-Median costs of…

Data Structures and Algorithms · Computer Science 2023-02-28 Lingxiao Huang , Ruiyuan Huang , Zengfeng Huang , Xuan Wu

A coreset of a dataset with $n$ examples and $d$ features is a weighted subset of examples that is sufficient for solving downstream data analytic tasks. Nearly optimal constructions of coresets for least squares and $\ell_p$ linear…

Data Structures and Algorithms · Computer Science 2024-06-05 David P. Woodruff , Taisuke Yasuda

Coreset selection is a method for selecting a small, representative subset of an entire dataset. It has been primarily researched in image classification, assuming there is only one object per image. However, coreset selection for object…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Hojun Lee , Suyoung Kim , Junhoo Lee , Jaeyoung Yoo , Nojun Kwak

We study sublinear algorithms for two fundamental graph problems, MAXCUT and correlation clustering. Our focus is on constructing core-sets as well as developing streaming algorithms for these problems. Constant space algorithms are known…

Data Structures and Algorithms · Computer Science 2018-02-21 Aditya Bhaskara , Samira Daruki , Suresh Venkatasubramanian

In the time-decay model for data streams, elements of an underlying data set arrive sequentially with the recently arrived elements being more important. A common approach for handling large data sets is to maintain a \emph{coreset}, a…

Data Structures and Algorithms · Computer Science 2019-07-18 Vladimir Braverman , Harry Lang , Enayat Ullah , Samson Zhou

Clustering is a fundamental tool for analyzing large data sets. A rich body of work has been devoted to designing data-stream algorithms for the relevant optimization problems such as $k$-center, $k$-median, and $k$-means. Such algorithms…

Data Structures and Algorithms · Computer Science 2018-12-06 Kook Jin Ahn , Graham Cormode , Sudipto Guha , Andrew McGregor , Anthony Wirth

Bayesian coresets have emerged as a promising approach for implementing scalable Bayesian inference. The Bayesian coreset problem involves selecting a (weighted) subset of the data samples, such that the posterior inference using the…

Machine Learning · Statistics 2021-03-01 Jacky Y. Zhang , Rajiv Khanna , Anastasios Kyrillidis , Oluwasanmi Koyejo

$(j,k)$-projective clustering is the natural generalization of the family of $k$-clustering and $j$-subspace clustering problems. Given a set of points $P$ in $\mathbb{R}^d$, the goal is to find $k$ flats of dimension $j$, i.e., affine…

Machine Learning · Computer Science 2022-03-10 Murad Tukan , Xuan Wu , Samson Zhou , Vladimir Braverman , Dan Feldman

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

Machine Learning · Statistics 2016-05-03 Mario Lucic , Olivier Bachem , Andreas Krause

Coreset selection aims to identify a small yet highly informative subset of data, thereby enabling more efficient model training while reducing storage overhead. Recently, this capability has been leveraged to tackle the challenges of…

Machine Learning · Computer Science 2025-11-19 Hanyu Zhang , Zhen Xing , Ruian He , Wenxuan Yang , Chenxi Ma , Weimin Tan , Bo Yan

In this article, we study shape fitting problems, $\epsilon$-coresets, and total sensitivity. We focus on the $(j,k)$-projective clustering problems, including $k$-median/$k$-means, $k$-line clustering, $j$-subspace approximation, and the…

Computational Geometry · Computer Science 2012-10-12 Kasturi Varadarajan , Xin Xiao

Constructing small-sized coresets for various clustering problems in different metric spaces has attracted significant attention for the past decade. A central problem in the coreset literature is to understand what is the best possible…

Data Structures and Algorithms · Computer Science 2024-03-14 Lingxiao Huang , Jian Li , Xuan Wu

The increasing accessibility of remotely sensed data and their potential to support large-scale decision-making have driven the development of deep learning models for many Earth Observation tasks. Traditionally, such models rely on large…

Subsampling algorithms are a natural approach to reduce data size before fitting models on massive datasets. In recent years, several works have proposed methods for subsampling rows from a data matrix while maintaining relevant information…

Machine Learning · Computer Science 2023-01-18 Fred Lu , Edward Raff , James Holt

We give a new construction for a small space summary satisfying the coreset guarantee of a data set with respect to the $k$-means objective function. The number of points required in an offline construction is in $\tilde{O}(k…

Data Structures and Algorithms · Computer Science 2020-02-19 Marc Bury , Chris Schwiegelshohn

Rehearsal-based Continual Learning (CL) maintains a limited memory buffer to store replay samples for knowledge retention, making these approaches heavily reliant on the quality of the stored samples. Current Rehearsal-based CL methods…

Machine Learning · Computer Science 2025-11-13 Junqi Gao , Zhichang Guo , Dazhi Zhang , Yao Li , Yi Ran , Biqing Qi