{"id":"https://openalex.org/W7148743009","doi":"https://doi.org/10.5281/zenodo.19371353","title":"Replication code for the manuscript \"Efficient generation and explicit dimensionality of Lie group-equivariant and permutation-invariant bases\"","display_name":"Replication code for the manuscript \"Efficient generation and explicit dimensionality of Lie group-equivariant and permutation-invariant bases\"","publication_year":2026,"publication_date":"2026-04-02","ids":{"openalex":"https://openalex.org/W7148743009","doi":"https://doi.org/10.5281/zenodo.19371353"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2604.01975","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2604.01975","pdf_url":"https://arxiv.org/pdf/2604.01975","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2604.01975","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5132922602","display_name":"Elo\u00efse Barthelemy","orcid":null},"institutions":[{"id":"https://openalex.org/I4210151823","display_name":"Institut Pasteur du Maroc","ror":"https://ror.org/04yb4j419","country_code":"MA","type":"facility","lineage":["https://openalex.org/I4210151823"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Barthelemy, Elo\u00efse","raw_affiliation_strings":["Universit\u00e9 Marie-et-Louis-Pasteur"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Marie-et-Louis-Pasteur","institution_ids":["https://openalex.org/I4210151823"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051564846","display_name":"Genevi\u00e8ve Dusson","orcid":"https://orcid.org/0000-0002-7160-6064"},"institutions":[{"id":"https://openalex.org/I4210151823","display_name":"Institut Pasteur du Maroc","ror":"https://ror.org/04yb4j419","country_code":"MA","type":"facility","lineage":["https://openalex.org/I4210151823"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Dusson, Genevi\u00e8ve","raw_affiliation_strings":["Universit\u00e9 Marie-et-Louis-Pasteur"],"raw_orcid":"https://orcid.org/0000-0002-7160-6064","affiliations":[{"raw_affiliation_string":"Universit\u00e9 Marie-et-Louis-Pasteur","institution_ids":["https://openalex.org/I4210151823"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5132867935","display_name":"Camille Hernandez","orcid":null},"institutions":[{"id":"https://openalex.org/I4210151823","display_name":"Institut Pasteur du Maroc","ror":"https://ror.org/04yb4j419","country_code":"MA","type":"facility","lineage":["https://openalex.org/I4210151823"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Hernandez, Camille","raw_affiliation_strings":["Universit\u00e9 Marie-et-Louis-Pasteur"],"raw_orcid":"https://orcid.org/0009-0004-9566-0913","affiliations":[{"raw_affiliation_string":"Universit\u00e9 Marie-et-Louis-Pasteur","institution_ids":["https://openalex.org/I4210151823"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5132852934","display_name":"Liwei Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Zhang, Liwei","raw_affiliation_strings":["RWTH Aachen University"],"raw_orcid":"https://orcid.org/0000-0003-2896-1965","affiliations":[{"raw_affiliation_string":"RWTH Aachen University","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12613","display_name":"X-ray Diffraction in Crystallography","score":0.061900001019239426,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12613","display_name":"X-ray Diffraction in Crystallography","score":0.061900001019239426,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.042500000447034836,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T10514","display_name":"Numerical methods in engineering","score":0.03280000016093254,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/python","display_name":"Python (programming language)","score":0.8532000184059143},{"id":"https://openalex.org/keywords/scripting-language","display_name":"Scripting language","score":0.8431000113487244},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.6570000052452087},{"id":"https://openalex.org/keywords/replication","display_name":"Replication (statistics)","score":0.3882000148296356},{"id":"https://openalex.org/keywords/source-code","display_name":"Source code","score":0.3723999857902527}],"concepts":[{"id":"https://openalex.org/C519991488","wikidata":"https://www.wikidata.org/wiki/Q28865","display_name":"Python (programming language)","level":2,"score":0.8532000184059143},{"id":"https://openalex.org/C61423126","wikidata":"https://www.wikidata.org/wiki/Q187432","display_name":"Scripting language","level":2,"score":0.8431000113487244},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6902999877929688},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.6570000052452087},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.6419000029563904},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3968000113964081},{"id":"https://openalex.org/C12590798","wikidata":"https://www.wikidata.org/wiki/Q3933199","display_name":"Replication (statistics)","level":2,"score":0.3882000148296356},{"id":"https://openalex.org/C43126263","wikidata":"https://www.wikidata.org/wiki/Q128751","display_name":"Source code","level":2,"score":0.3723999857902527},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3634999990463257},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35510000586509705},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.3456000089645386},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.27390000224113464}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2604.01975","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2604.01975","pdf_url":"https://arxiv.org/pdf/2604.01975","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.5281/zenodo.19371353","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.19371353","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Software"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2604.01975","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2604.01975","pdf_url":"https://arxiv.org/pdf/2604.01975","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2659019386","display_name":null,"funder_award_id":"ANR-17-EURE-","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G4771048887","display_name":null,"funder_award_id":"SFB 1481","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G4831747326","display_name":"Nonlinear reduced models for guaranteed and efficient calculations in quantum chemistry","funder_award_id":"ANR-24-CE46-2255","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6129730045","display_name":"Ing\u00e9nierie et Innovation par les sciences physiques, les savoir-faire technologiques et l'interdisciplinarit\u00e9","funder_award_id":"ANR-17-EURE-0002","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6792660214","display_name":"SFB 1481: Sparsity und singul\u00e4re Strukturen","funder_award_id":"442047500","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6803667113","display_name":null,"funder_award_id":"ANR-17","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"repository":[1],"contains":[2],"the":[3,17,47,73,85,88],"source":[4],"code":[5],"and":[6,13,25,30,36,91,96],"scripts":[7,83],"used":[8],"to":[9,61],"generate":[10],"all":[11],"results":[12],"figures":[14,70],"reported":[15],"in":[16,72],"manuscript:":[18],"Elo\u00efse":[19],"Barthelemy,":[20],"Genevi\u00e8ve":[21],"Dusson,":[22],"Camille":[23],"Hernandez,":[24],"Liwei":[26],"Zhang,":[27],"\"Efficient":[28],"generation":[29],"explicit":[31],"dimensionality":[32],"of":[33,46,82,87],"Lie":[34],"group-equivariant":[35],"permutation-invariant":[37],"bases\",":[38],"arxiv.2604.01975,":[39],"2026.":[40],"Contents":[41],"-":[42,50,53,55,65,75,78,94,99,109,113],"`constructing_GE-PI_basis_via_lie_alg.jl`":[43],"\u2014":[44,67,80,102],"Implementation":[45],"proposed":[48,89],"method":[49,90],"Julia":[51,76,95,104,110],"code.":[52,77],"`cache_dim.jld2`":[54],"JLD2":[56],"file":[57],"containing":[58],"cached":[59],"dimensionalities":[60],"avoid":[62],"duplicate":[63],"computations.":[64],"`script_plots.jl`":[66],"Scripts":[68],"generating":[69],"shown":[71],"manuscript":[74],"`code_for_effciency_comparison/`":[79],"Folder":[81],"running":[84],"benchmark":[86],"existing":[92],"methods":[93],"Python":[97,114],"codes.":[98],"`Project.toml`,":[100],"`Manifest.toml`":[101],"Exact":[103],"environment":[105],"for":[106],"reproducibility.":[107],"Requirements":[108],"\u2265":[111,115],"1.10":[112],"3.8":[116]},"counts_by_year":[],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2026-04-04T00:00:00"}