Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Saulpic, David"'
Autor:
la Tour, Max Dupré, Saulpic, David
Clustering is one of the staples of data analysis and unsupervised learning. As such, clustering algorithms are often used on massive data sets, and they need to be extremely fast. We focus on the Euclidean $k$-median and $k$-means problems, two of t
Externí odkaz:
http://arxiv.org/abs/2407.11217
We study in this paper the problem of maintaining a solution to $k$-median and $k$-means clustering in a fully dynamic setting. To do so, we present an algorithm to efficiently maintain a coreset, a compressed version of the dataset, that allows easy
Externí odkaz:
http://arxiv.org/abs/2406.19926
As a staple of data analysis and unsupervised learning, the problem of private clustering has been widely studied under various privacy models. Centralized differential privacy is the first of them, and the problem has also been studied for the local
Externí odkaz:
http://arxiv.org/abs/2406.11649
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 $S$ up to
Externí odkaz:
http://arxiv.org/abs/2405.01339
We study the theoretical and practical runtime limits of k-means and k-median clustering on large datasets. Since effectively all clustering methods are slower than the time it takes to read the dataset, the fastest approach is to quickly compress th
Externí odkaz:
http://arxiv.org/abs/2404.01936
Autor:
Axiotis, Kyriakos, Cohen-Addad, Vincent, Henzinger, Monika, Jerome, Sammy, Mirrokni, Vahab, Saulpic, David, Woodruff, David, Wunder, Michael
We study the data selection problem, whose aim is to select a small representative subset of data that can be used to efficiently train a machine learning model. We present a new data selection approach based on $k$-means clustering and sensitivity s
Externí odkaz:
http://arxiv.org/abs/2402.17327
For a set of points in $\mathbb{R}^d$, the Euclidean $k$-means problems consists of finding $k$ centers such that the sum of distances squared from each data point to its closest center is minimized. Coresets are one the main tools developed recently
Externí odkaz:
http://arxiv.org/abs/2310.18034
In all state-of-the-art sketching and coreset techniques for clustering, as well as in the best known fixed-parameter tractable approximation algorithms, randomness plays a key role. For the classic $k$-median and $k$-means problems, there are no kno
Externí odkaz:
http://arxiv.org/abs/2310.04076
We consider the problem of clustering privately a dataset in $\mathbb{R}^d$ that undergoes both insertion and deletion of points. Specifically, we give an $\varepsilon$-differentially private clustering mechanism for the $k$-means objective under con
Externí odkaz:
http://arxiv.org/abs/2307.03430
Autor:
Cohen-Addad, Vincent, Larsen, Kasper Green, Saulpic, David, Schwiegelshohn, Chris, Sheikh-Omar, Omar Ali
Given a set of $n$ points in $d$ dimensions, the Euclidean $k$-means problem (resp. the Euclidean $k$-median problem) consists of finding $k$ centers such that the sum of squared distances (resp. sum of distances) from every point to its closest cent
Externí odkaz:
http://arxiv.org/abs/2211.08184