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Given a point set $P \subseteq X$ of size $n$ in a metric space $(X,dist)$ of doubling dimension $d$ and two parameters $k \in N$ and $z \in N$, the $k$-center problem with $z$ outliers asks to return a set $C^\ast \subseteq X$ of $k$…

Data Structures and Algorithms · Computer Science 2023-02-27 Mark de Berg , Leyla Biabani , Morteza Monemizadeh

One-shot coreset selection aims to select a representative subset of the training data, given a pruning rate, that can later be used to train future models while retaining high accuracy. State-of-the-art coreset selection methods pick the…

Machine Learning · Computer Science 2023-03-07 Haizhong Zheng , Rui Liu , Fan Lai , Atul Prakash

Object proposals are an ensemble of bounding boxes with high potential to contain objects. In order to determine a small set of proposals with a high recall, a common scheme is extracting multiple features followed by a ranking algorithm…

Computer Vision and Pattern Recognition · Computer Science 2017-05-19 Jing Wang , Jie Shen , Ping Li

The goal of coreset selection is to identify representative subsets of datasets for efficient model training. Yet, existing approaches paradoxically require expensive training-based signals, e.g., gradients, decision boundary estimates or…

Continuous/Lifelong learning of high-dimensional data streams is a challenging research problem. In fact, fully retraining models each time new data become available is infeasible, due to computational and storage issues, while na\"ive…

Computer Vision and Pattern Recognition · Computer Science 2017-05-11 Vincenzo Lomonaco , Davide Maltoni

Deep learning models achieve state-of-the-art performance across domains but face scalability challenges in real-time or resource-constrained scenarios. To address this, we propose Loss Trajectory Correlation (LTC), a novel metric for…

Machine Learning · Computer Science 2025-03-14 Manish Nagaraj , Deepak Ravikumar , Efstathia Soufleri , Kaushik Roy

Center-based clustering is a fundamental primitive for data analysis and becomes very challenging for large datasets. In this paper, we focus on the popular $k$-center variant which, given a set $S$ of points from some metric space and a…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-02 Matteo Ceccarello , Andrea Pietracaprina , Geppino Pucci

Quantization-aware training (QAT) is a representative model compression method to reduce redundancy in weights and activations. However, most existing QAT methods require end-to-end training on the entire dataset, which suffers from long…

Machine Learning · Computer Science 2024-08-21 Xijie Huang , Zechun Liu , Shih-Yang Liu , Kwang-Ting Cheng

Coreset selection compresses large datasets into compact, representative subsets, reducing the energy and computational burden of training deep neural networks. Existing methods are either: (i) DNN-based, which are tied to model-specific…

Machine Learning · Statistics 2026-03-04 Jin Cui , Boran Zhao , Jiajun Xu , Jiaqi Guo , Shuo Guan , Pengju Ren

Clustering of data points is a fundamental tool in data analysis. We consider points $X$ in a relaxed metric space, where the triangle inequality holds within a constant factor. The {\em cost} of clustering $X$ by $Q$ is $V(Q)=\sum_{x\in X}…

Machine Learning · Computer Science 2017-10-31 Edith Cohen , Shiri Chechik , Haim Kaplan

We study efficient algorithms for the Euclidean $k$-Center problem, focusing on the regime of large $k$. We take the approach of data reduction by considering $\alpha$-coreset, which is a small subset $S$ of the dataset $P$ such that any…

Data Structures and Algorithms · Computer Science 2025-02-11 Arnold Filtser , Shaofeng H. -C. Jiang , Yi Li , Anurag Murty Naredla , Ioannis Psarros , Qiaoyuan Yang , Qin Zhang

Convolutional neural networks (CNNs) have been successfully applied to many recognition and learning tasks using a universal recipe; training a deep model on a very large dataset of supervised examples. However, this approach is rather…

Machine Learning · Statistics 2018-06-04 Ozan Sener , Silvio Savarese

We present novel bounds for coreset construction, feature selection, and dimensionality reduction for logistic regression. All three approaches can be thought of as sketching the logistic regression inputs. On the coreset construction…

Machine Learning · Computer Science 2023-03-28 Gregory Dexter , Rajiv Khanna , Jawad Raheel , Petros Drineas

We suggest efficient and provable methods to compute an approximation for imbalanced point clustering, that is, fitting $k$-centers to a set of points in $\mathbb{R}^d$, for any $d,k\geq 1$. To this end, we utilize \emph{coresets}, which,…

Machine Learning · Computer Science 2025-03-13 David Denisov , Dan Feldman , Shlomi Dolev , Michael Segal

In this paper, we formalize the idea behind capsule nets of using a capsule vector rather than a neuron activation to predict the label of samples. To this end, we propose to learn a group of capsule subspaces onto which an input feature…

Computer Vision and Pattern Recognition · Computer Science 2018-10-23 Liheng Zhang , Marzieh Edraki , Guo-Jun Qi

We present data streaming algorithms for the $k$-median problem in high-dimensional dynamic geometric data streams, i.e. streams allowing both insertions and deletions of points from a discrete Euclidean space $\{1, 2, \ldots \Delta\}^d$.…

Data Structures and Algorithms · Computer Science 2017-06-14 Vladimir Braverman , Gereon Frahling , Harry Lang , Christian Sohler , Lin F. Yang

This paper considers coresets for the robust $k$-medians problem with $m$ outliers, and new constructions in various metric spaces are obtained. Specifically, for metric spaces with a bounded VC or doubling dimension $d$, the coreset size…

Data Structures and Algorithms · Computer Science 2025-07-16 Lingxiao Huang , Zhenyu Jiang , Yi Li , Xuan Wu

In this paper, we provide a novel perspective on the underlying structure of real-world data with ground-truth clusters via characterization of an abundantly observed yet often overlooked density-geometry correlation, that manifests itself…

Machine Learning · Computer Science 2025-12-04 Chandra Sekhar Mukherjee , Joonyoung Bae , Jiapeng Zhang

We study supervised learning problems using clustering constraints to impose structure on either features or samples, seeking to help both prediction and interpretation. The problem of clustering features arises naturally in text…

Machine Learning · Computer Science 2016-09-20 Vincent Roulet , Fajwel Fogel , Alexandre d'Aspremont , Francis Bach

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
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