{"id":"https://openalex.org/W7150888171","doi":"https://doi.org/10.1016/j.ins.2026.123470","title":"Approximating optimal \u03bc-point distributions over a generalized sphere for Riesz s-energy using a gradient descent algorithm","display_name":"Approximating optimal \u03bc-point distributions over a generalized sphere for Riesz s-energy using a gradient descent algorithm","publication_year":2026,"publication_date":"2026-04-06","ids":{"openalex":"https://openalex.org/W7150888171","doi":"https://doi.org/10.1016/j.ins.2026.123470"},"language":"en","primary_location":{"id":"doi:10.1016/j.ins.2026.123470","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.ins.2026.123470","pdf_url":null,"source":{"id":"https://openalex.org/S192650101","display_name":"Information Sciences","issn_l":"0020-0255","issn":["0020-0255","1872-6291"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5094246376","display_name":"Mahboubeh Nezhadmoghaddam","orcid":null},"institutions":[{"id":"https://openalex.org/I98461037","display_name":"Tecnol\u00f3gico de Monterrey","ror":"https://ror.org/03ayjn504","country_code":"MX","type":"education","lineage":["https://openalex.org/I98461037"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Mahboubeh Nezhadmoghaddam","raw_affiliation_strings":["Tecnologico de Monterrey, School of Engineering and Sciences, Ave. Eugenio Garza Sada 2501, Monterrey, 64849, N.L., Mexico"],"raw_orcid":"https://orcid.org/0009-0001-7637-7635","affiliations":[{"raw_affiliation_string":"Tecnologico de Monterrey, School of Engineering and Sciences, Ave. Eugenio Garza Sada 2501, Monterrey, 64849, N.L., Mexico","institution_ids":["https://openalex.org/I98461037"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133037183","display_name":"Julio Ju\u00e1rez","orcid":null},"institutions":[{"id":"https://openalex.org/I98461037","display_name":"Tecnol\u00f3gico de Monterrey","ror":"https://ror.org/03ayjn504","country_code":"MX","type":"education","lineage":["https://openalex.org/I98461037"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Julio Ju\u00e1rez","raw_affiliation_strings":["Tecnologico de Monterrey, School of Engineering and Sciences, Ave. Eugenio Garza Sada 2501, Monterrey, 64849, N.L., Mexico"],"raw_orcid":"https://orcid.org/0000-0001-8748-3807","affiliations":[{"raw_affiliation_string":"Tecnologico de Monterrey, School of Engineering and Sciences, Ave. Eugenio Garza Sada 2501, Monterrey, 64849, N.L., Mexico","institution_ids":["https://openalex.org/I98461037"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072644624","display_name":"Jes\u00fas Guillermo Falc\u00f3n-Cardona","orcid":"https://orcid.org/0000-0003-1131-098X"},"institutions":[{"id":"https://openalex.org/I64663401","display_name":"Centro de Investigaci\u00f3n Cient\u00edfica y de Educaci\u00f3n Superior de Ensenada","ror":"https://ror.org/04znhwb73","country_code":"MX","type":"facility","lineage":["https://openalex.org/I64663401"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Jes\u00fas Guillermo Falc\u00f3n-Cardona","raw_affiliation_strings":["Departamento de Ciencias de la Computaci\u00f3n, CICESE, Km 107 Carretera Tijuana-Ensenada, Ensenada, 22860, Baja California, Mexico"],"raw_orcid":"https://orcid.org/0000-0003-1131-098X","affiliations":[{"raw_affiliation_string":"Departamento de Ciencias de la Computaci\u00f3n, CICESE, Km 107 Carretera Tijuana-Ensenada, Ensenada, 22860, Baja California, Mexico","institution_ids":["https://openalex.org/I64663401"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5132946931","display_name":"Michael T.M. Emmerich","orcid":null},"institutions":[{"id":"https://openalex.org/I19002584","display_name":"JAMK University of Applied Sciences","ror":"https://ror.org/01dn2ng71","country_code":"FI","type":"education","lineage":["https://openalex.org/I19002584"]},{"id":"https://openalex.org/I4210140036","display_name":"Central Finland Health Care District","ror":"https://ror.org/054h11b04","country_code":"FI","type":"healthcare","lineage":["https://openalex.org/I4210140036"]},{"id":"https://openalex.org/I94722563","display_name":"University of Jyv\u00e4skyl\u00e4","ror":"https://ror.org/05n3dz165","country_code":"FI","type":"education","lineage":["https://openalex.org/I94722563"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Michael T.M. Emmerich","raw_affiliation_strings":["Faculty of Information Technology, University of Jyv\u00e4skyl\u00e4, Agora, Mattilanniemi 2, Jyv\u00e4skyl\u00e4, 40100, Central Finland, Finland"],"raw_orcid":"https://orcid.org/0000-0002-7342-2090","affiliations":[{"raw_affiliation_string":"Faculty of Information Technology, University of Jyv\u00e4skyl\u00e4, Agora, Mattilanniemi 2, Jyv\u00e4skyl\u00e4, 40100, Central Finland, Finland","institution_ids":["https://openalex.org/I94722563","https://openalex.org/I19002584","https://openalex.org/I4210140036"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085426879","display_name":"Andr\u00e9 Deutz","orcid":"https://orcid.org/0000-0002-9047-6533"},"institutions":[{"id":"https://openalex.org/I121797337","display_name":"Leiden University","ror":"https://ror.org/027bh9e22","country_code":"NL","type":"education","lineage":["https://openalex.org/I121797337"]},{"id":"https://openalex.org/I210716285","display_name":"University of Applied Sciences Leiden","ror":"https://ror.org/0093src13","country_code":"NL","type":"education","lineage":["https://openalex.org/I210716285"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Andr\u00e9 Deutz","raw_affiliation_strings":["Leiden Institute of Advanced Computer Science, Leiden University, Niels Bohrweg 1, Leiden, 2333 CA, Zuid-Holland, the Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Leiden Institute of Advanced Computer Science, Leiden University, Niels Bohrweg 1, Leiden, 2333 CA, Zuid-Holland, the Netherlands","institution_ids":["https://openalex.org/I121797337","https://openalex.org/I210716285"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5072644624"],"corresponding_institution_ids":["https://openalex.org/I64663401"],"apc_list":{"value":3330,"currency":"USD","value_usd":3330},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.49083946,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"747","issue":null,"first_page":"123470","last_page":"123470"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.26899999380111694,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.26899999380111694,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.11599999666213989,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.0820000022649765,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.5781000256538391},{"id":"https://openalex.org/keywords/stochastic-gradient-descent","display_name":"Stochastic gradient descent","score":0.4018000066280365},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.37279999256134033},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.37229999899864197},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.3343000113964081}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6801999807357788},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.5781000256538391},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49399998784065247},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4724000096321106},{"id":"https://openalex.org/C206688291","wikidata":"https://www.wikidata.org/wiki/Q7617819","display_name":"Stochastic gradient descent","level":3,"score":0.4018000066280365},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.37279999256134033},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.37229999899864197},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3425000011920929},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.3343000113964081},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.28940001130104065},{"id":"https://openalex.org/C189987565","wikidata":"https://www.wikidata.org/wiki/Q7333166","display_name":"Riesz potential","level":2,"score":0.2653000056743622},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.26499998569488525}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.ins.2026.123470","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.ins.2026.123470","pdf_url":null,"source":{"id":"https://openalex.org/S192650101","display_name":"Information Sciences","issn_l":"0020-0255","issn":["0020-0255","1872-6291"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1976159118","https://openalex.org/W2024008934","https://openalex.org/W2038420231","https://openalex.org/W2098907614","https://openalex.org/W2126105956","https://openalex.org/W2130853073","https://openalex.org/W2404080558","https://openalex.org/W2791738125","https://openalex.org/W2905676342","https://openalex.org/W2963586865","https://openalex.org/W3021855001","https://openalex.org/W3093329802","https://openalex.org/W3155401374","https://openalex.org/W4280531198","https://openalex.org/W4402916726","https://openalex.org/W4410402907","https://openalex.org/W7130307657"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2026-04-07T00:00:00"}
