{"id":"https://openalex.org/W4393372976","doi":"https://doi.org/10.1109/ieeeconf59524.2023.10476892","title":"Experimental Survey of Discrete Minimizers of the $p-\\text{frame}$ Energy","display_name":"Experimental Survey of Discrete Minimizers of the $p-\\text{frame}$ Energy","publication_year":2023,"publication_date":"2023-10-29","ids":{"openalex":"https://openalex.org/W4393372976","doi":"https://doi.org/10.1109/ieeeconf59524.2023.10476892"},"language":"en","primary_location":{"id":"doi:10.1109/ieeeconf59524.2023.10476892","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/ieeeconf59524.2023.10476892","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 57th Asilomar Conference on Signals, Systems, and Computers","raw_type":"proceedings-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/A5073607410","display_name":"Dmitriy Bilyk","orcid":"https://orcid.org/0000-0001-9320-3584"},"institutions":[{"id":"https://openalex.org/I2800403580","display_name":"University of Minnesota System","ror":"https://ror.org/03grvy078","country_code":"US","type":"education","lineage":["https://openalex.org/I2800403580"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dmitriy Bilyk","raw_affiliation_strings":["University of Minnesota"],"affiliations":[{"raw_affiliation_string":"University of Minnesota","institution_ids":["https://openalex.org/I2800403580"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067435111","display_name":"Alexey Glazyrin","orcid":"https://orcid.org/0000-0002-6833-1469"},"institutions":[{"id":"https://openalex.org/I2802326326","display_name":"The University of Texas Rio Grande Valley","ror":"https://ror.org/02p5xjf12","country_code":"US","type":"education","lineage":["https://openalex.org/I2802326326"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexey Glazyrin","raw_affiliation_strings":["University of Texas Rio Grande Valley"],"affiliations":[{"raw_affiliation_string":"University of Texas Rio Grande Valley","institution_ids":["https://openalex.org/I2802326326"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063892552","display_name":"Ryan Matzke","orcid":"https://orcid.org/0000-0001-8364-7237"},"institutions":[{"id":"https://openalex.org/I200719446","display_name":"Vanderbilt University","ror":"https://ror.org/02vm5rt34","country_code":"US","type":"education","lineage":["https://openalex.org/I200719446"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ryan W. Matzke","raw_affiliation_strings":["Vanderbilt University"],"affiliations":[{"raw_affiliation_string":"Vanderbilt University","institution_ids":["https://openalex.org/I200719446"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067871294","display_name":"Josiah Park","orcid":"https://orcid.org/0000-0002-0075-8917"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Josiah Park","raw_affiliation_strings":["TAMU"],"affiliations":[{"raw_affiliation_string":"TAMU","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091293720","display_name":"Oleksandr Vlasiuk","orcid":null},"institutions":[{"id":"https://openalex.org/I200719446","display_name":"Vanderbilt University","ror":"https://ror.org/02vm5rt34","country_code":"US","type":"education","lineage":["https://openalex.org/I200719446"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Oleksandr Vlasiuk","raw_affiliation_strings":["Vanderbilt University"],"affiliations":[{"raw_affiliation_string":"Vanderbilt University","institution_ids":["https://openalex.org/I200719446"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5073607410"],"corresponding_institution_ids":["https://openalex.org/I2800403580"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.28611677,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"67","issue":null,"first_page":"522","last_page":"529"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9412000179290771,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9412000179290771,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9391999840736389,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.6144999265670776},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.540399968624115},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5186983346939087},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.37701615691185},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.36092227697372437},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3444165289402008},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2903648316860199},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.25450554490089417},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10720214247703552}],"concepts":[{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.6144999265670776},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.540399968624115},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5186983346939087},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.37701615691185},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36092227697372437},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3444165289402008},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2903648316860199},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.25450554490089417},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10720214247703552}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ieeeconf59524.2023.10476892","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/ieeeconf59524.2023.10476892","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 57th Asilomar Conference on Signals, Systems, and Computers","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.7599999904632568,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G1549667607","display_name":null,"funder_award_id":"DMS-1600693,CCF-1934904,DMS-2054536,DMS-2054606","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":71,"referenced_works":["https://openalex.org/W109405981","https://openalex.org/W154226047","https://openalex.org/W1512840059","https://openalex.org/W1556443961","https://openalex.org/W1585818218","https://openalex.org/W1599914714","https://openalex.org/W1674264077","https://openalex.org/W1806104592","https://openalex.org/W1879145692","https://openalex.org/W1960597956","https://openalex.org/W1963785789","https://openalex.org/W1966710059","https://openalex.org/W1986015715","https://openalex.org/W1990270267","https://openalex.org/W1994204156","https://openalex.org/W1994336294","https://openalex.org/W2010476496","https://openalex.org/W2012405657","https://openalex.org/W2019045267","https://openalex.org/W2019366876","https://openalex.org/W2021688531","https://openalex.org/W2021737210","https://openalex.org/W2038175392","https://openalex.org/W2039661402","https://openalex.org/W2040416019","https://openalex.org/W2050502002","https://openalex.org/W2051434435","https://openalex.org/W2054821686","https://openalex.org/W2057640726","https://openalex.org/W2060002743","https://openalex.org/W2067711323","https://openalex.org/W2072364864","https://openalex.org/W2081282002","https://openalex.org/W2084586233","https://openalex.org/W2093277124","https://openalex.org/W2094366212","https://openalex.org/W2094544653","https://openalex.org/W2098598867","https://openalex.org/W2128633210","https://openalex.org/W2132726459","https://openalex.org/W2138548210","https://openalex.org/W2156303405","https://openalex.org/W2182304189","https://openalex.org/W2315512191","https://openalex.org/W2499951544","https://openalex.org/W2584020404","https://openalex.org/W2925209006","https://openalex.org/W2949706770","https://openalex.org/W2964029426","https://openalex.org/W2994885907","https://openalex.org/W3003478417","https://openalex.org/W3010167422","https://openalex.org/W3065994908","https://openalex.org/W3101740473","https://openalex.org/W3101905528","https://openalex.org/W3102426353","https://openalex.org/W3103274847","https://openalex.org/W3137106085","https://openalex.org/W3147055705","https://openalex.org/W4205514877","https://openalex.org/W4213328390","https://openalex.org/W4241206027","https://openalex.org/W4256085433","https://openalex.org/W4288364572","https://openalex.org/W4291908381","https://openalex.org/W4293775970","https://openalex.org/W4308216317","https://openalex.org/W4310081354","https://openalex.org/W6604469142","https://openalex.org/W6689675516","https://openalex.org/W6776000754"],"related_works":["https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W426798872","https://openalex.org/W392464211","https://openalex.org/W2351325862"],"abstract_inverted_index":{"We":[0,31],"provide":[1],"a":[2,8,77],"detailed":[3],"analysis":[4],"of":[5,12,58,65,84,104],"results":[6],"from":[7],"large-scale":[9],"computational":[10],"exploration":[11],"real":[13],"and":[14,96],"complex":[15,86],"(weighted)":[16],"point":[17],"configurations":[18],"that":[19,42,101],"minimize":[20],"p-frame":[21],"energies,":[22],"uncovering":[23],"phase":[24],"transition":[25],"behavior":[26],"exhibited":[27],"by":[28],"the":[29,56,70,82,102],"minimizers.":[30],"utilize":[32],"numerical":[33],"linear":[34],"programming":[35],"methodologies":[36],"to":[37],"offer":[38],"complementary":[39],"lower":[40,74],"bounds":[41,48,75],"support":[43,103],"our":[44,93],"experimentally":[45],"obtained":[46],"upper":[47],"on":[49,92],"minimal":[50],"energy":[51],"values.":[52],"Furthermore,":[53],"we":[54,99],"present":[55],"development":[57],"an":[59],"exceptionally":[60],"symmetric":[61],"weighted":[62,79,107],"design":[63,80,108],"consisting":[64],"85":[66],"points,":[67],"which":[68],"outperforms":[69],"current":[71],"best":[72],"known":[73],"for":[76],"minimal-sized":[78],"in":[81],"realm":[83],"five-dimensional":[85],"projective":[87],"space.":[88],"In":[89],"conclusion,":[90],"based":[91],"thorough":[94],"observations":[95],"in-depth":[97],"analysis,":[98],"conjecture":[100],"this":[105],"novel":[106],"is":[109],"universally":[110],"optimal.":[111]},"counts_by_year":[],"updated_date":"2025-12-26T23:08:49.675405","created_date":"2025-10-10T00:00:00"}