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Related papers: Coresets for Relational Data and The Applications

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Coresets are one of the central methods to facilitate the analysis of large data sets. We continue a recent line of research applying the theory of coresets to logistic regression. First, we show a negative result, namely, that no strongly…

Data Structures and Algorithms · Computer Science 2021-03-09 Alexander Munteanu , Chris Schwiegelshohn , Christian Sohler , David P. Woodruff

Scaling clustering algorithms to massive data sets is a challenging task. Recently, several successful approaches based on data summarization methods, such as coresets and sketches, were proposed. While these techniques provide provably…

Machine Learning · Statistics 2018-02-21 Olivier Bachem , Mario Lucic , Silvio Lattanzi

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

Coresets for $k$-means and $k$-median problems yield a small summary of the data, which preserve the clustering cost with respect to any set of $k$ centers. Recently coresets have also been constructed for constrained $k$-means and…

Data Structures and Algorithms · Computer Science 2023-05-29 Ragesh Jaiswal , Amit Kumar

Specific data compression techniques, formalized by the concept of coresets, proved to be powerful for many optimization problems. In fact, while tightly controlling the approximation error, coresets may lead to significant speed up of the…

Optimization and Control · Mathematics 2022-04-05 Maximilian Fiedler , Peter Gritzmann , Fabian Klemm

The use of Bayesian methods in large-scale data settings is attractive because of the rich hierarchical models, uncertainty quantification, and prior specification they provide. Standard Bayesian inference algorithms are computationally…

Computation · Statistics 2017-02-07 Jonathan H. Huggins , Trevor Campbell , Tamara Broderick

In several domains, data objects can be decomposed into sets of simpler objects. It is then natural to represent each object as the set of its components or parts. Many conventional machine learning algorithms are unable to process this…

Machine Learning · Computer Science 2020-03-03 Konstantinos Skianis , Giannis Nikolentzos , Stratis Limnios , Michalis Vazirgiannis

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

Coresets have emerged as a powerful tool to summarize data by selecting a small subset of the original observations while retaining most of its information. This approach has led to significant computational speedups but the performance of…

Statistics Theory · Mathematics 2020-12-10 Paxton Turner , Jingbo Liu , Philippe Rigollet

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

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

A \emph{strong coreset} for the mean queries of a set $P$ in ${\mathbb{R}}^d$ is a small weighted subset $C\subseteq P$, which provably approximates its sum of squared distances to any center (point) $x\in {\mathbb{R}}^d$. A \emph{weak…

Machine Learning · Computer Science 2021-11-05 Alaa Maalouf , Ibrahim Jubran , Dan Feldman

We initiate the study of coresets for clustering in graph metrics, i.e., the shortest-path metric of edge-weighted graphs. Such clustering problems are essential to data analysis and used for example in road networks and data visualization.…

Data Structures and Algorithms · Computer Science 2022-12-13 Daniel Baker , Vladimir Braverman , Lingxiao Huang , Shaofeng H. -C. Jiang , Robert Krauthgamer , Xuan Wu

Recently, the field of machine learning has undergone a transition from model-centric to data-centric. The advancements in diverse learning tasks have been propelled by the accumulation of more extensive datasets, subsequently facilitating…

Machine Learning · Computer Science 2023-10-20 Yao Lu , Yutian Huang , Jiaqi Nie , Zuohui Chen , Qi Xuan

Conventional machine learning algorithms cannot be applied until a data matrix is available to process. When the data matrix needs to be obtained from a relational database via a feature extraction query, the computation cost can be…

Machine Learning · Computer Science 2019-10-14 Ryan Curtin , Ben Moseley , Hung Q. Ngo , XuanLong Nguyen , Dan Olteanu , Maximilian Schleich

Deep networks are frequently tuned to novel tasks and continue learning from ongoing data streams. Such sequential training requires consolidation of new and past information, a challenge predominantly addressed by retaining the most…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Subarnaduti Paul , Manuel Brack , Patrick Schramowski , Kristian Kersting , Martin Mundt

This tutorial overviews the state of the art in learning models over relational databases and makes the case for a first-principles approach that exploits recent developments in database research. The input to learning classification and…

Databases · Computer Science 2019-11-18 Maximilian Schleich , Dan Olteanu , Mahmoud Abo-Khamis , Hung Q. Ngo , XuanLong Nguyen

We develop and analyze a method to reduce the size of a very large set of data points in a high dimensional Euclidean space R d to a small set of weighted points such that the result of a predetermined data analysis task on the reduced set…

Data Structures and Algorithms · Computer Science 2018-07-13 Dan Feldman , Melanie Schmidt , Christian Sohler

We study the problem of constructing coresets for $(k, z)$-clustering when the input dataset is corrupted by stochastic noise drawn from a known distribution. In this setting, evaluating the quality of a coreset is inherently challenging,…

Machine Learning · Computer Science 2025-10-28 Lingxiao Huang , Zhize Li , Nisheeth K. Vishnoi , Runkai Yang , Haoyu Zhao

Model Interpretation aims at the extraction of insights from the internals of a trained model. A common approach to address this task is the characterization of relevant features internally encoded in the model that are critical for its…

Machine Learning · Computer Science 2024-10-07 Hamed Behzadi-Khormouji , José Oramas