{"paper":{"title":"New Frameworks for Offline and Streaming Coreset Constructions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.DS","authors_text":"Adiel Statman, Dan Feldman, Harry Lang, Samson Zhou, Vladimir Braverman","submitted_at":"2016-12-02T23:04:16Z","abstract_excerpt":"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 cost function, then a set $S\\subseteq P$ with weights $w:P\\to[0,\\infty)$ is an $\\epsilon$-coreset for some parameter $\\epsilon>0$ if $\\sum_{s\\in S}w(s)f(s,q)$ is a $(1+\\epsilon)$ multiplicative approximation to $\\sum_{p\\in P}f(p,q)$ for all $q\\in Q$. Coresets are used to solve fundamental problems in machine learning under various big data models of computat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.00889","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1612.00889/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}