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How can we train a statistical mixture model on a massive data set? In this work we show how to construct coresets for mixtures of Gaussians. A coreset is a weighted subset of the data, which guarantees that models fitting the coreset also…

Machine Learning · Statistics 2018-01-17 Mario Lucic , Matthew Faulkner , Andreas Krause , Dan Feldman

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

An $\varepsilon$-coreset for a given set $D$ of $n$ points, is usually a small weighted set, such that querying the coreset \emph{provably} yields a $(1+\varepsilon)$-factor approximation to the original (full) dataset, for a given family…

Machine Learning · Computer Science 2019-06-13 Dan Feldman , Zahi Kfir , Xuan Wu

Kernel regression is an essential and ubiquitous tool for non-parametric data analysis, particularly popular among time series and spatial data. However, the central operation which is performed many times, evaluating a kernel on the data…

Machine Learning · Computer Science 2017-06-01 Yan Zheng , Jeff M. Phillips

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

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

Gaussian Process Networks (GPNs) are a class of directed graphical models which employ Gaussian processes as priors for the conditional expectation of each variable given its parents in the network. The model allows the description of…

Machine Learning · Statistics 2024-02-20 Enrico Giudice , Jack Kuipers , Giusi Moffa

Recent work by Brock et al. (2018) suggests that Generative Adversarial Networks (GANs) benefit disproportionately from large mini-batch sizes. Unfortunately, using large batches is slow and expensive on conventional hardware. Thus, it…

Machine Learning · Statistics 2019-10-31 Samarth Sinha , Han Zhang , Anirudh Goyal , Yoshua Bengio , Hugo Larochelle , Augustus Odena

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

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

Previous work showed empirically that large neural networks can be significantly reduced in size while preserving their accuracy. Model compression became a central research topic, as it is crucial for deployment of neural networks on…

Machine Learning · Computer Science 2020-01-06 Ben Mussay , Margarita Osadchy , Vladimir Braverman , Samson Zhou , Dan Feldman

Coreset of a given dataset and loss function is usually a small weighed set that approximates this loss for every query from a given set of queries. Coresets have shown to be very useful in many applications. However, coresets construction…

Machine Learning · Computer Science 2021-11-05 Alaa Maalouf , Gilad Eini , Ben Mussay , Dan Feldman , Margarita Osadchy

Gaussian graphical models are often used to infer gene networks based on microarray expression data. Many scientists, however, have begun using high-throughput sequencing technologies to measure gene expression. As the resulting…

Applications · Statistics 2012-05-30 Genevera I. Allen , Zhandong Liu

Model compression is crucial for deployment of neural networks on devices with limited computational and memory resources. Many different methods show comparable accuracy of the compressed model and similar compression rates. However, the…

Machine Learning · Computer Science 2020-08-21 Ben Mussay , Daniel Feldman , Samson Zhou , Vladimir Braverman , Margarita Osadchy

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 ubiquity of large-scale graphs in node-classification tasks significantly hinders the real-world applications of Graph Neural Networks (GNNs). Node sampling, graph coarsening, and dataset condensation are effective strategies for…

Machine Learning · Computer Science 2024-05-28 Mucong Ding , Yinhan He , Jundong Li , Furong Huang

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

A coreset for a set of points is a small subset of weighted points that approximately preserves important properties of the original set. Specifically, if $P$ is a set of points, $Q$ is a set of queries, and $f:P\times Q\to\mathbb{R}$ is a…

Data Structures and Algorithms · Computer Science 2022-09-20 Vladimir Braverman , Dan Feldman , Harry Lang , Adiel Statman , Samson Zhou

In this paper we offer a preliminary study of the application of Bayesian coresets to network security data. Network intrusion detection is a field that could take advantage of Bayesian machine learning in modelling uncertainty and managing…

Machine Learning · Computer Science 2019-06-21 Fabio Massimo Zennaro

Designing coresets--small-space sketches of the data preserving cost of the solutions within $(1\pm \epsilon)$-approximate factor--is an important research direction in the study of center-based $k$-clustering problems, such as $k$-means or…

Computational Geometry · Computer Science 2023-03-03 Sayan Bandyapadhyay , Fedor V. Fomin , Tanmay Inamdar
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