Universal Weak Coreset

Authors: Ragesh Jaiswal, Amit Kumar

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Reproducibility Variable Result LLM Response
Research Type Theoretical Our main results include constructions of such universal weak coresets: Informal result: There is a 3-universal weak coreset for the k-MEDIAN and a 9-universal weak coreset for the k-MEANS problem in general metric spaces (the 3, 9 factors improve to 2, 4 for the special case when X F). Further, there is a 1-universal weak coreset construction for k-MEDIAN/k-MEANS in the Euclidean setting. All these weak coresets have poly( k /ε ) size.
Researcher Affiliation Academia Ragesh Jaiswal , Amit Kumar Department of Computer Science and Engineering Indian Institute of Technology Delhi {rjaiswal, amitk}@cse.iitd.ac.in
Pseudocode No The paper describes algorithms in prose but does not include any structured pseudocode or algorithm blocks.
Open Source Code No The paper does not provide any concrete access information (e.g., repository links or explicit statements) for open-source code related to the described methodology.
Open Datasets No The paper is theoretical and does not conduct empirical studies with datasets, therefore it does not provide information about publicly available training datasets.
Dataset Splits No The paper is theoretical and does not conduct empirical studies, therefore it does not provide specific dataset split information (train/validation/test).
Hardware Specification No The paper is theoretical and does not report on experiments, thus no hardware specifications are provided.
Software Dependencies No The paper is theoretical and does not report on experiments, thus no software dependencies with version numbers are listed.
Experiment Setup No The paper is theoretical and does not report on experiments, thus no specific experimental setup details like hyperparameters or training configurations are provided.