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We present an efficient coreset construction algorithm for large-scale Support Vector Machine (SVM) training in Big Data and streaming applications. A coreset is a small, representative subset of the original data points such that a models…

Machine Learning · Computer Science 2020-02-18 Murad Tukan , Cenk Baykal , Dan Feldman , Daniela Rus

Coreset selection is among the most effective ways to reduce the training time of CNNs, however, only limited is known on how the resultant models will behave under variations of the coreset size, and choice of datasets and models.…

Computer Vision and Pattern Recognition · Computer Science 2023-03-13 Animesh Gupta , Irtiza Hasan , Dilip K. Prasad , Deepak K. Gupta

As deep learning models continue to scale, the growing computational demands have amplified the need for effective coreset selection techniques. Coreset selection aims to accelerate training by identifying small, representative subsets of…

Machine Learning · Computer Science 2025-11-24 Wei-Kai Chang , Rajiv Khanna

We design and mathematically analyze sampling-based algorithms for regularized loss minimization problems that are implementable in popular computational models for large data, in which the access to the data is restricted in some way. Our…

Machine Learning · Computer Science 2019-06-04 Ryan R. Curtin , Sungjin Im , Ben Moseley , Kirk Pruhs , Alireza Samadian

The increasing availability of massive data sets poses a series of challenges for machine learning. Prominent among these is the need to learn models under hardware or human resource constraints. In such resource-constrained settings, a…

Machine Learning · Computer Science 2021-09-28 Zalán Borsos , Mojmír Mutný , Marco Tagliasacchi , Andreas Krause

The problem of best subset selection in linear regression is considered with the aim to find a fixed size subset of features that best fits the response. This is particularly challenging when the total available number of features is very…

Methodology · Statistics 2023-11-28 Sarat Moka , Benoit Liquet , Houying Zhu , Samuel Muller

Coresets are modern data-reduction tools that are widely used in data analysis to improve efficiency in terms of running time, space and communication complexity. Our main result is a fast algorithm to construct a small coreset for k-Median…

Data Structures and Algorithms · Computer Science 2020-07-16 Vladimir Braverman , Shaofeng H. -C. Jiang , Robert Krauthgamer , Xuan Wu

A coreset is a point set containing information about geometric properties of a larger point set. A series of previous works show that in many machine learning problems, especially in clustering problems, coreset could be very useful to…

Data Structures and Algorithms · Computer Science 2022-10-18 Yichuan Deng , Zhao Song , Yitan Wang , Yuanyuan Yang

Kernel regression is an essential and ubiquitous tool for non-parametric data analysis, particularly popular among time series and spatial data. However, the central operation which is performed many times, evaluating a kernel on the data…

Machine Learning · Computer Science 2017-06-01 Yan Zheng , Jeff M. Phillips

The goal of Feature Selection - comprising filter, wrapper, and embedded approaches - is to find the optimal feature subset for designated downstream tasks. Nevertheless, current feature selection methods are limited by: 1) the selection…

Machine Learning · Computer Science 2023-09-18 Meng Xiao , Dongjie Wang , Min Wu , Pengfei Wang , Yuanchun Zhou , Yanjie Fu

The coresets approach, also called subsampling or subset selection, aims to select a subsample as a surrogate for the observed sample and has found extensive applications in large-scale data analysis. Existing coresets methods construct the…

Computation · Statistics 2024-09-17 Mengyu Li , Jun Yu , Tao Li , Cheng Meng

In real world, our datasets often contain outliers. Moreover, the outliers can seriously affect the final machine learning result. Most existing algorithms for handling outliers take high time complexities (e.g. quadratic or cubic…

Computational Geometry · Computer Science 2020-02-28 Hu Ding , Zixiu Wang

A coreset for a set of points is a small subset of weighted points that approximately preserves important properties of the original set. Specifically, if $P$ is a set of points, $Q$ is a set of queries, and $f:P\times Q\to\mathbb{R}$ is a…

Data Structures and Algorithms · Computer Science 2022-09-20 Vladimir Braverman , Dan Feldman , Harry Lang , Adiel Statman , Samson Zhou

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

Coreset selection compresses large datasets into compact, representative subsets, reducing the energy and computational burden of training deep neural networks. Existing methods are either: (i) DNN-based, which are tied to model-specific…

Machine Learning · Statistics 2026-03-04 Jin Cui , Boran Zhao , Jiajun Xu , Jiaqi Guo , Shuo Guan , Pengju Ren

Best subset selection in linear regression is well known to be nonconvex and computationally challenging to solve, as the number of possible subsets grows rapidly with increasing dimensionality of the problem. As a result, finding the…

Machine Learning · Statistics 2025-04-01 Vikram Singh , Min Sun

A coreset (or core-set) of an input set is its small summation, such that solving a problem on the coreset as its input, provably yields the same result as solving the same problem on the original (full) set, for a given family of problems…

Machine Learning · Computer Science 2019-10-22 Ibrahim Jubran , Alaa Maalouf , Dan Feldman

We study (constrained) least-squares regression as well as multiple response least-squares regression and ask the question of whether a subset of the data, a coreset, suffices to compute a good approximate solution to the regression. We…

Data Structures and Algorithms · Computer Science 2016-11-18 Christos Boutsidis , Petros Drineas , Malik Magdon-Ismail

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 investigate coresets - succinct, small summaries of large data sets - so that solutions found on the summary are provably competitive with solution found on the full data set. We provide an overview over the state-of-the-art in coreset…

Machine Learning · Statistics 2017-06-06 Olivier Bachem , Mario Lucic , Andreas Krause