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This paper carries out a large dimensional analysis of a variation of kernel ridge regression that we call \emph{centered kernel ridge regression} (CKRR), also known in the literature as kernel ridge regression with offset. This modified…

Machine Learning · Statistics 2020-04-22 Khalil Elkhalil , Abla Kammoun , Xiangliang Zhang , Mohamed-Slim Alouini , Tareq Al-Naffouri

Dataset distillation compresses large datasets into smaller synthetic coresets which retain performance with the aim of reducing the storage and computational burden of processing the entire dataset. Today's best-performing algorithm,…

Machine Learning · Computer Science 2022-10-24 Noel Loo , Ramin Hasani , Alexander Amini , Daniela Rus

Dataset distillation has become a popular method for compressing large datasets into smaller, more efficient representations while preserving critical information for model training. Data features are broadly categorized into two types:…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Minh-Tuan Tran , Trung Le , Xuan-May Le , Thanh-Toan Do , Dinh Phung

One of the most fundamental aspects of any machine learning algorithm is the training data used by the algorithm. We introduce the novel concept of $\epsilon$-approximation of datasets, obtaining datasets which are much smaller than or are…

Machine Learning · Computer Science 2021-03-24 Timothy Nguyen , Zhourong Chen , Jaehoon Lee

Dataset distillation is the technique of synthesizing smaller condensed datasets from large original datasets while retaining necessary information to persist the effect. In this paper, we approach the dataset distillation problem from a…

Computer Vision and Pattern Recognition · Computer Science 2023-12-15 Mingyang Chen , Bo Huang , Junda Lu , Bing Li , Yi Wang , Minhao Cheng , Wei Wang

Deep learning has grown tremendously over recent years, yielding state-of-the-art results in various fields. However, training such models requires huge amounts of data, increasing the computational time and cost. To address this, dataset…

Machine Learning · Computer Science 2023-07-18 Murad Tukan , Alaa Maalouf , Margarita Osadchy

Dataset distillation aims to compress large datasets into compact yet highly informative subsets that preserve the training behavior of the original data. While this concept has gained traction in classification, its potential for image…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Tobias Dietz , Brian B. Moser , Tobias Nauen , Federico Raue , Stanislav Frolov , Andreas Dengel

Dataset distillation (DD) allows datasets to be distilled to fractions of their original size while preserving the rich distributional information, so that models trained on the distilled datasets can achieve a comparable accuracy while…

Machine Learning · Computer Science 2025-04-08 Eric Xue , Yijiang Li , Haoyang Liu , Peiran Wang , Yifan Shen , Haohan Wang

Dataset Distillation (DD) is a promising technique to synthesize a smaller dataset that preserves essential information from the original dataset. This synthetic dataset can serve as a substitute for the original large-scale one, and help…

Computer Vision and Pattern Recognition · Computer Science 2024-03-26 Yao Lu , Jianyang Gu , Xuguang Chen , Saeed Vahidian , Qi Xuan

Dataset distillation (DD) is a newly emerging research area aiming at alleviating the heavy computational load in training models on large datasets. It tries to distill a large dataset into a small and condensed one so that models trained…

Computer Vision and Pattern Recognition · Computer Science 2023-11-28 Yuxuan Duan , Jianfu Zhang , Liqing Zhang

Kernel methods are powerful and flexible approach to solve many problems in machine learning. Due to the pairwise evaluations in kernel methods, the complexity of kernel computation grows as the data size increases; thus the applicability…

Machine Learning · Computer Science 2017-11-28 Bharath Bhushan Damodaran , Nicolas Courty , Philippe-Henri Gosselin

Dataset distillation enables the training of deep neural networks with comparable performance in significantly reduced time by compressing large datasets into small and representative ones. Although the introduction of generative models has…

Machine Learning · Computer Science 2025-05-27 Mingzhuo Li , Guang Li , Jiafeng Mao , Takahiro Ogawa , Miki Haseyama

Dataset distillation aims to find a synthetic training set such that training on the synthetic data achieves similar performance to training on real data, with orders of magnitude less computational requirements. Existing methods can be…

Machine Learning · Computer Science 2026-02-09 Hong Ye Tan , Emma Slade

Dataset distillation methods have achieved remarkable success in distilling a large dataset into a small set of representative samples. However, they are not designed to produce a distilled dataset that can be effectively used for…

Machine Learning · Computer Science 2024-04-15 Dong Bok Lee , Seanie Lee , Joonho Ko , Kenji Kawaguchi , Juho Lee , Sung Ju Hwang

Large-scale kernel ridge regression (KRR) is limited by the need to store a large kernel matrix K_t. To avoid storing the entire matrix K_t, Nystrom methods subsample a subset of columns of the kernel matrix, and efficiently find an…

Machine Learning · Computer Science 2026-04-23 Daniele Calandriello , Alessandro Lazaric , Michal Valko

Dataset distillation provides an effective approach to reduce memory and computational costs by optimizing a compact dataset that achieves performance comparable to the full original. However, for large-scale datasets and complex deep…

Computer Vision and Pattern Recognition · Computer Science 2025-11-14 Xinhao Zhong , Shuoyang Sun , Xulin Gu , Zhaoyang Xu , Yaowei Wang , Min Zhang , Bin Chen

The aim of dataset distillation is to encode the rich features of an original dataset into a tiny dataset. It is a promising approach to accelerate neural network training and related studies. Different approaches have been proposed to…

Machine Learning · Computer Science 2023-05-30 Zongxiong Chen , Jiahui Geng , Derui Zhu , Herbert Woisetschlaeger , Qing Li , Sonja Schimmler , Ruben Mayer , Chunming Rong

In this paper, we investigate a divide and conquer approach to Kernel Ridge Regression (KRR). Given n samples, the division step involves separating the points based on some underlying disjoint partition of the input space (possibly via…

Machine Learning · Statistics 2016-08-08 Rashish Tandon , Si Si , Pradeep Ravikumar , Inderjit Dhillon

Kernel ridge regression (KRR) is a well-known and popular nonparametric regression approach with many desirable properties, including minimax rate-optimality in estimating functions that belong to common reproducing kernel Hilbert spaces…

Machine Learning · Statistics 2019-10-15 Arash A. Amini

In recent years, dataset distillation has provided a reliable solution for data compression, where models trained on the resulting smaller synthetic datasets achieve performance comparable to those trained on the original datasets. To…

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