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The real-life data have a complex and non-linear structure due to their nature. These non-linearities and the large number of features can usually cause problems such as the empty-space phenomenon and the well-known curse of dimensionality.…

Machine Learning · Computer Science 2025-03-13 Kadir Özçoban , Murat Manguoğlu , Emrullah Fatih Yetkin

Coreset, which is a summary of the original dataset in the form of a small weighted set in the same sample space, provides a promising approach to enable machine learning over distributed data. Although viewed as a proxy of the original…

Machine Learning · Computer Science 2020-06-24 Hanlin Lu , Ming-Ju Li , Ting He , Shiqiang Wang , Vijaykrishnan Narayanan , Kevin S Chan

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 goal of coreset selection is to identify representative subsets of datasets for efficient model training. Yet, existing approaches paradoxically require expensive training-based signals, e.g., gradients, decision boundary estimates or…

To improve the efficiency and sustainability of learning deep models, we propose CREST, the first scalable framework with rigorous theoretical guarantees to identify the most valuable examples for training non-convex models, particularly…

Machine Learning · Computer Science 2023-06-05 Yu Yang , Hao Kang , Baharan Mirzasoleiman

This paper develops a scale-insensitive framework for neural network significance testing, substantially generalizing existing approaches through three key innovations. First, we replace metric entropy calculations with Rademacher…

Machine Learning · Statistics 2025-02-07 Hasan Fallahgoul

Huge amount of applications in various fields, such as gene expression analysis or computer vision, undergo data sets with high-dimensional low-sample-size (HDLSS), which has putted forward great challenges for standard statistical and…

Machine Learning · Computer Science 2022-06-07 Liran Shen , Meng Joo Er , Qingbo Yin

Consider the following data fusion scenario: two datasets/peers contain the same real-world entities described using partially shared features, e.g. banking and insurance company records of the same customer base. Our goal is to learn a…

Machine Learning · Computer Science 2016-03-15 Giorgio Patrini , Richard Nock , Stephen Hardy , Tiberio Caetano

Deep learning models achieve state-of-the-art performance across domains but face scalability challenges in real-time or resource-constrained scenarios. To address this, we propose Correlation of Loss Differences (CLD), a simple and…

Machine Learning · Computer Science 2025-11-20 Manish Nagaraj , Deepak Ravikumar , Kaushik Roy

We study the problem of constructing coresets for clustering problems with time series data. This problem has gained importance across many fields including biology, medicine, and economics due to the proliferation of sensors facilitating…

Machine Learning · Computer Science 2021-10-29 Lingxiao Huang , K. Sudhir , Nisheeth K. Vishnoi

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

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

In this paper, we propose and analyse a family of generalised stochastic composite mirror descent algorithms. With adaptive step sizes, the proposed algorithms converge without requiring prior knowledge of the problem. Combined with an…

Optimization and Control · Mathematics 2022-11-22 Weijia Shao , Fikret Sivrikaya , Sahin Albayrak

Unsupervised machine learning lacks ground truth by definition. This poses a major difficulty when designing metrics to evaluate the performance of such algorithms. In sharp contrast with supervised learning, for which plenty of quality…

Machine Learning · Computer Science 2023-03-20 Raúl Lara-Cabrera , Ángel González-Prieto , Diego Pérez-López , Diego Trujillo , Fernando Ortega

A coreset is a small set that can approximately preserve the structure of the original input data set. Therefore we can run our algorithm on a coreset so as to reduce the total computational complexity. Conventional coreset techniques…

Machine Learning · Computer Science 2022-10-11 Jiaxiang Chen , Qingyuan Yang , Ruomin Huang , Hu Ding

Pruning is one of the predominant approaches for compressing deep neural networks (DNNs). Lately, coresets (provable data summarizations) were leveraged for pruning DNNs, adding the advantage of theoretical guarantees on the trade-off…

Machine Learning · Computer Science 2022-09-20 Murad Tukan , Loay Mualem , Alaa Maalouf

Coreset selection, which aims to select a subset of the most informative training samples, is a long-standing learning problem that can benefit many downstream tasks such as data-efficient learning, continual learning, neural architecture…

Machine Learning · Computer Science 2022-06-30 Chengcheng Guo , Bo Zhao , Yanbing Bai

Designing small-sized \emph{coresets}, which approximately preserve the costs of the solutions for large datasets, has been an important research direction for the past decade. We consider coreset construction for a variety of general…

Data Structures and Algorithms · Computer Science 2024-10-11 Lingxiao Huang , Jian Li , Pinyan Lu , Xuan Wu

We study generalized bootstrap confidence regions for the mean of a random vector whose coordinates have an unknown dependency structure. The random vector is supposed to be either Gaussian or to have a symmetric and bounded distribution.…

Statistics Theory · Mathematics 2010-07-02 Sylvain Arlot , Gilles Blanchard , Etienne Roquain

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