{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/supervised-learning-of-labeled-pointcloud","title":"Supervised Learning of Labeled Pointcloud Differences via Cover-Tree Entropy Reduction","arxiv_id":"1702.07959","date":"2017-02-26","proceeding":null,"authors":["Abraham Smith","Paul Bendich","John Harer","Alex Pieloch","Jay Hineman"],"abstract":"We introduce a new algorithm, called CDER, for supervised machine learning\nthat merges the multi-scale geometric properties of Cover Trees with the\ninformation-theoretic properties of entropy. CDER applies to a training set of\nlabeled pointclouds embedded in a common Euclidean space. If typical\npointclouds corresponding to distinct labels tend to differ at any scale in any\nsub-region, CDER can identify these differences in (typically) linear time,\ncreating a set of distributional coordinates which act as a feature extraction\nmechanism for supervised learning. We describe theoretical properties and\nimplementation details of CDER, and illustrate its benefits on several\nsynthetic examples.","url_abs":"http://arxiv.org/abs/1702.07959v3","url_pdf":"http://arxiv.org/pdf/1702.07959v3.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"supervised-learning-of-labeled-pointcloud","repo_url":"https://github.com/geomdata/gda-public","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null},{"paper_slug":"supervised-learning-of-labeled-pointcloud","repo_url":"https://github.com/amish-mishra/cder-protein-classifier","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[{"task_slug":"machine-learning","task_name":"BIG-bench Machine Learning"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}