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Coreset (or core-set) is a small weighted \emph{subset} $Q$ of an input set $P$ with respect to a given \emph{monotonic} function $f:\mathbb{R}\to\mathbb{R}$ that \emph{provably} approximates its fitting loss $\sum_{p\in P}f(p\cdot x)$ to…

Machine Learning · Computer Science 2021-12-24 Elad Tolochinsky , Ibrahim Jubran , Dan Feldman

We provide the first coreset for clustering points in $\mathbb{R}^d$ that have multiple missing values (coordinates). Previous coreset constructions only allow one missing coordinate. The challenge in this setting is that objective…

Data Structures and Algorithms · Computer Science 2021-11-12 Vladimir Braverman , Shaofeng H. -C. Jiang , Robert Krauthgamer , Xuan Wu

This paper introduces the problem of coresets for regression problems to panel data settings. We first define coresets for several variants of regression problems with panel data and then present efficient algorithms to construct coresets…

Machine Learning · Computer Science 2020-11-04 Lingxiao Huang , K. Sudhir , Nisheeth K. Vishnoi

We present an efficient coresets-based neural network compression algorithm that sparsifies the parameters of a trained fully-connected neural network in a manner that provably approximates the network's output. Our approach is based on an…

Machine Learning · Computer Science 2019-05-21 Cenk Baykal , Lucas Liebenwein , Igor Gilitschenski , Dan Feldman , Daniela Rus

Deep Learning models have transformed various domains, including the healthcare sector, particularly biomedical image classification by learning intricate features and enabling accurate diagnostics pertaining to complex diseases. Recent…

Computer Vision and Pattern Recognition · Computer Science 2025-09-29 Imran Ashraf , Mukhtar Ullah , Muhammad Faisal Nadeem , Muhammad Nouman Noor

Determinantal point processes (DPPs) are random configurations of points with tunable negative dependence. Because sampling is tractable, DPPs are natural candidates for subsampling tasks, such as minibatch selection or coreset…

Machine Learning · Statistics 2024-11-04 Rémi Bardenet , Subhroshekhar Ghosh , Hugo Simon-Onfroy , Hoang-Son Tran

We revisit the classical kernel method of approximation/interpolation theory in a very specific context motivated by the desire to obtain a robust procedure to approximate discrete data sets by (super)level sets of functions that are merely…

Machine Learning · Computer Science 2022-09-14 Patrick Guidotti

Coresets are arguably the most popular compression paradigm for center-based clustering objectives such as $k$-means. Given a point set $P$, a coreset $\Omega$ is a small, weighted summary that preserves the cost of all candidate solutions…

Data Structures and Algorithms · Computer Science 2024-05-03 Nikhil Bansal , Vincent Cohen-Addad , Milind Prabhu , David Saulpic , Chris Schwiegelshohn

We study non-linear data-dimension reduction. We are motivated by the classical linear framework of Principal Component Analysis. In nonlinear case, we introduce instead a new kernel-Principal Component Analysis, manifold and feature space…

Functional Analysis · Mathematics 2022-09-09 Palle E. T. Jorgensen , Sooran Kang , Myung-Sin Song , Feng Tian

A coreset (or core-set) of a dataset is its semantic compression with respect to a set of queries, such that querying the (small) coreset provably yields an approximate answer to querying the original (full) dataset. In the last decade,…

Robotics · Computer Science 2017-12-19 Soliman Nasser , Ibrahim Jubran , Dan Feldman

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

A coreset is a tiny weighted subset of an input set, that closely resembles the loss function, with respect to a certain set of queries. Coresets became prevalent in machine learning as they have shown to be advantageous for many…

Machine Learning · Computer Science 2023-05-23 Alaa Maalouf , Murad Tukan , Vladimir Braverman , Daniela Rus

Real-world datasets are often of high dimension and effected by the curse of dimensionality. This hinders their comprehensibility and interpretability. To reduce the complexity feature selection aims to identify features that are crucial to…

Machine Learning · Computer Science 2023-04-18 Maximilian Stubbemann , Tobias Hille , Tom Hanika

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

The size of large, geo-located datasets has reached scales where visualization of all data points is inefficient. Random sampling is a method to reduce the size of a dataset, yet it can introduce unwanted errors. We describe a method for…

Human-Computer Interaction · Computer Science 2017-09-14 Yan Zheng , Yi Ou , Alexander Lex , Jeff M. Phillips

Coreset selection is powerful in reducing computational costs and accelerating data processing for deep learning algorithms. It strives to identify a small subset from large-scale data, so that training only on the subset practically…

Machine Learning · Computer Science 2024-03-01 Xiaobo Xia , Jiale Liu , Shaokun Zhang , Qingyun Wu , Hongxin Wei , Tongliang Liu

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

Coreset selection targets the challenge of finding a small, representative subset of a large dataset that preserves essential patterns for effective machine learning. Although several surveys have examined data reduction strategies before,…

Machine Learning · Computer Science 2026-01-30 Brian B. Moser , Arundhati S. Shanbhag , Stanislav Frolov , Federico Raue , Joachim Folz , Andreas Dengel

Coreset Selection (CS) aims to identify a subset of the training dataset that achieves model performance comparable to using the entire dataset. Many state-of-the-art CS methods select coresets using scores whose computation requires…

Machine Learning · Computer Science 2025-06-05 Akshay Mehra , Trisha Mittal , Subhadra Gopalakrishnan , Joshua Kimball

We present a unified framework for quantum sensitivity sampling, extending the advantages of quantum computing to a broad class of classical approximation problems. Our unified framework provides a streamlined approach for constructing…

Data Structures and Algorithms · Computer Science 2025-09-23 Zhao Song , David P. Woodruff , Lichen Zhang