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Coreset selection is among the most effective ways to reduce the training time of CNNs, however, only limited is known on how the resultant models will behave under variations of the coreset size, and choice of datasets and models.…

Computer Vision and Pattern Recognition · Computer Science 2023-03-13 Animesh Gupta , Irtiza Hasan , Dilip K. Prasad , Deepak K. Gupta

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…

Data Structures and Algorithms · Computer Science 2024-05-03 Nikhil Bansal , Vincent Cohen-Addad , Milind Prabhu , David Saulpic , Chris Schwiegelshohn

The emergence of Internet of Things (IoT) applications requires intelligence on the edge. Microcontrollers provide a low-cost compute platform to deploy intelligent IoT applications using machine learning at scale, but have extremely…

Computer Vision and Pattern Recognition · Computer Science 2019-06-14 Aakanksha Chowdhery , Pete Warden , Jonathon Shlens , Andrew Howard , Rocky Rhodes

In many machine learning tasks, a common approach for dealing with large-scale data is to build a small summary, {\em e.g.,} coreset, that can efficiently represent the original input. However, real-world datasets usually contain outliers…

Machine Learning · Computer Science 2022-01-24 Zixiu Wang , Yiwen Guo , Hu Ding

Many applications infer the structure of a probabilistic graphical model from data to elucidate the relationships between variables. But how can we train graphical models on a massive data set? In this paper, we show how to construct…

Artificial Intelligence · Computer Science 2017-10-17 Alejandro Molina , Alexander Munteanu , Kristian Kersting

Uniform sampling is a highly efficient method for data summarization. However, its effectiveness in producing coresets for clustering problems is not yet well understood, primarily because it generally does not yield a strong coreset, which…

Data Structures and Algorithms · Computer Science 2026-02-19 Amir Carmel , Robert Krauthgamer

Training wide and deep neural networks (DNNs) require large amounts of storage resources such as memory because the intermediate activation data must be saved in the memory during forward propagation and then restored for backward…

Artificial Intelligence · Computer Science 2021-11-19 Sian Jin , Chengming Zhang , Xintong Jiang , Yunhe Feng , Hui Guan , Guanpeng Li , Shuaiwen Leon Song , Dingwen Tao

Stereo matching is an important problem in computer vision which has drawn tremendous research attention for decades. Recent years, data-driven methods with convolutional neural networks (CNNs) are continuously pushing stereo matching to…

Computer Vision and Pattern Recognition · Computer Science 2021-01-27 Ju He , Enyu Zhou , Liusheng Sun , Fei Lei , Chenyang Liu , Wenxiu Sun

We present algorithms that create coresets in an online setting for clustering problems according to a wide subset of Bregman divergences. Notably, our coresets have a small additive error, similar in magnitude to the lightweight coresets…

Data Structures and Algorithms · Computer Science 2020-12-14 Rachit Chhaya , Jayesh Choudhari , Anirban Dasgupta , Supratim Shit

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

The input to the $k$-median for lines problem is a set $L$ of $n$ lines in $\mathbb{R}^d$, and the goal is to compute a set of $k$ centers (points) in $\mathbb{R}^d$ that minimizes the sum of squared distances over every line in $L$ and its…

Computational Geometry · Computer Science 2019-11-26 Yair Marom , Dan Feldman

We consider the problem of constructing small coresets for $k$-Median in Euclidean spaces. Given a large set of data points $P\subset \mathbb{R}^d$, a coreset is a much smaller set $S\subset \mathbb{R}^d$, so that the $k$-Median costs of…

Data Structures and Algorithms · Computer Science 2023-02-28 Lingxiao Huang , Ruiyuan Huang , Zengfeng Huang , Xuan Wu

Head pose estimation is a challenging task that aims to solve problems related to predicting three dimensions vector, that serves for many applications in human-robot interaction or customer behavior. Previous researches have proposed some…

Computer Vision and Pattern Recognition · Computer Science 2021-11-16 Linh Nguyen Viet , Tuan Nguyen Dinh , Hoang Nguyen Viet , Duc Tran Minh , Long Tran Quoc

A Bayesian pseudocoreset is a compact synthetic dataset summarizing essential information of a large-scale dataset and thus can be used as a proxy dataset for scalable Bayesian inference. Typically, a Bayesian pseudocoreset is constructed…

Machine Learning · Computer Science 2023-10-30 Balhae Kim , Hyungi Lee , Juho Lee

We study core-set construction algorithms for the task of Diversity Maximization under fairness/partition constraint. Given a set of points $P$ in a metric space partitioned into $m$ groups, and given $k_1,\ldots,k_m$, the goal of this…

Data Structures and Algorithms · Computer Science 2023-10-13 Sepideh Mahabadi , Stojan Trajanovski

Clustering is the task of partitioning a given set of geometric objects. This is thoroughly studied when the objects are points in the euclidean space. There are also several approaches for points in general metric spaces. In this thesis we…

Computational Geometry · Computer Science 2019-11-07 Dennis Rohde

We study fair clustering problems as proposed by Chierichetti et al. (NIPS 2017). Here, points have a sensitive attribute and all clusters in the solution are required to be balanced with respect to it (to counteract any form of…

Data Structures and Algorithms · Computer Science 2021-03-10 Melanie Schmidt , Chris Schwiegelshohn , Christian Sohler

Dataset distillation is the task of synthesizing a small dataset such that a model trained on the synthetic set will match the test accuracy of the model trained on the full dataset. In this paper, we propose a new formulation that…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 George Cazenavette , Tongzhou Wang , Antonio Torralba , Alexei A. Efros , Jun-Yan Zhu

The success of deep learning requires large datasets and extensive training, which can create significant computational challenges. To address these challenges, pseudo-coresets, small learnable datasets that mimic the entire data, have been…

Machine Learning · Computer Science 2025-03-03 Hyungi Lee , Seungyoo Lee , Juho Lee

A common approach for designing scalable algorithms for massive data sets is to distribute the computation across, say $k$, machines and process the data using limited communication between them. A particularly appealing framework here is…

Data Structures and Algorithms · Computer Science 2017-05-24 Sepehr Assadi , Sanjeev Khanna