{"id":"https://openalex.org/W7220689883","doi":"https://doi.org/10.48550/arxiv.2610.06158","title":"Compressed magnetic Moment Tensor Potentials via low-rank matrix and tensor factorizations","display_name":"Compressed magnetic Moment Tensor Potentials via low-rank matrix and tensor factorizations","publication_year":2026,"publication_date":"2026-10-05","ids":{"openalex":"https://openalex.org/W7220689883","doi":"https://doi.org/10.48550/arxiv.2610.06158"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.06158","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.06158","pdf_url":"https://arxiv.org/pdf/2610.06158","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,"listed_in":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.06158","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5093253370","display_name":"Alexey S. Kotykhov","orcid":"https://orcid.org/0009-0007-6377-0845","observed_orcids":["https://orcid.org/0009-0007-6377-0845"]},"institutions":[{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]},{"id":"https://openalex.org/I125989756","display_name":"Skolkovo Institute of Science and Technology","ror":"https://ror.org/03f9nc143","country_code":"RU","type":"education","lineage":["https://openalex.org/I125989756"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Kotykhov, Alexey S.","raw_affiliation_strings":["HSE University , Faculty of Computer Science , Pokrovsky boulevard 11 , Moscow , 109028 , Russian Federation","Skolkovo Institute of Science and Technology , Skolkovo Innovation Center , Bolshoy boulevard 30 , Moscow , 121205 , Russian Federation"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"HSE University , Faculty of Computer Science , Pokrovsky boulevard 11 , Moscow , 109028 , Russian Federation","institution_ids":["https://openalex.org/I118501908"]},{"raw_affiliation_string":"Skolkovo Institute of Science and Technology , Skolkovo Innovation Center , Bolshoy boulevard 30 , Moscow , 121205 , Russian Federation","institution_ids":["https://openalex.org/I125989756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007354935","display_name":"Alexander V. Shapeev","orcid":"https://orcid.org/0000-0002-7497-5594","observed_orcids":["https://orcid.org/0000-0002-7497-5594"]},"institutions":[{"id":"https://openalex.org/I125989756","display_name":"Skolkovo Institute of Science and Technology","ror":"https://ror.org/03f9nc143","country_code":"RU","type":"education","lineage":["https://openalex.org/I125989756"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Shapeev, Alexander V.","raw_affiliation_strings":["Digital Materials LLC , Odintsovo , Kutuzovskaya str. 4A , Moscow Region , 143001 , Russian Federation","Skolkovo Institute of Science and Technology , Skolkovo Innovation Center , Bolshoy boulevard 30 , Moscow , 121205 , Russian Federation"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Digital Materials LLC , Odintsovo , Kutuzovskaya str. 4A , Moscow Region , 143001 , Russian Federation","institution_ids":[]},{"raw_affiliation_string":"Skolkovo Institute of Science and Technology , Skolkovo Innovation Center , Bolshoy boulevard 30 , Moscow , 121205 , Russian Federation","institution_ids":["https://openalex.org/I125989756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050283603","display_name":"Maxim Rakhuba","orcid":"https://orcid.org/0000-0001-7606-7322","observed_orcids":["https://orcid.org/0000-0001-7606-7322"]},"institutions":[{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Rakhuba, Maxim","raw_affiliation_strings":["HSE University , Faculty of Computer Science , Pokrovsky boulevard 11 , Moscow , 109028 , Russian Federation"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"HSE University , Faculty of Computer Science , Pokrovsky boulevard 11 , Moscow , 109028 , Russian Federation","institution_ids":["https://openalex.org/I118501908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010914066","display_name":"Ivan  Sergeyevich Novikov","orcid":"https://orcid.org/0000-0003-3146-6455","observed_orcids":["https://orcid.org/0000-0003-3146-6455"]},"institutions":[{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Novikov, Ivan S.","raw_affiliation_strings":["HSE University , Faculty of Computer Science , Pokrovsky boulevard 11 , Moscow , 109028 , Russian Federation"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"HSE University , Faculty of Computer Science , Pokrovsky boulevard 11 , Moscow , 109028 , Russian Federation","institution_ids":["https://openalex.org/I118501908"]}]}],"institutions":[],"countries_distinct_count":1,"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/T11948","display_name":"Machine Learning in Materials Science","score":0.9878000020980835,"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/T11948","display_name":"Machine Learning in Materials Science","score":0.9878000020980835,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.003800000064074993,"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/T10002","display_name":"Advanced Chemical Physics Studies","score":0.002300000051036477,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/low-rank-matrix-factorization","display_name":"low-rank factorization","score":0.9129999876022339},{"id":"https://openalex.org/keywords/tensor-decomposition","display_name":"tensor decomposition","score":0.9449999928474426},{"id":"https://openalex.org/keywords/parameter-reduction","display_name":"parameter reduction","score":0.8460000157356262},{"id":"https://openalex.org/keywords/magnetic-properties","display_name":"magnetic properties","score":0.6330000162124634},{"id":"https://openalex.org/keywords/vibration-characteristics","display_name":"vibration characteristics","score":0.7689999938011169},{"id":"https://openalex.org/keywords/fe-al-alloys","display_name":"Fe-Al alloys","score":0.7820000052452087},{"id":"https://openalex.org/keywords/crn","display_name":"CrN","score":0.949999988079071},{"id":"https://openalex.org/keywords/molecular-dynamics","display_name":"molecular dynamics","score":0.503000020980835},{"id":"https://openalex.org/keywords/interatomic-potentials","display_name":"interatomic potentials","score":0.7279999852180481}],"concepts":[{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6850000023841858},{"id":"https://openalex.org/C54553102","wikidata":"https://www.wikidata.org/wiki/Q242657","display_name":"Magnetic moment","level":2,"score":0.5412999987602234},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.541100025177002},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.5299000144004822},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5184999704360962},{"id":"https://openalex.org/C2994172659","wikidata":"https://www.wikidata.org/wiki/Q1609712","display_name":"Moment tensor","level":3,"score":0.4284999966621399},{"id":"https://openalex.org/C152365726","wikidata":"https://www.wikidata.org/wiki/Q1048589","display_name":"Density functional theory","level":2,"score":0.4124999940395355},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3928000032901764},{"id":"https://openalex.org/C56911000","wikidata":"https://www.wikidata.org/wiki/Q831774","display_name":"Density matrix","level":3,"score":0.35929998755455017},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34360000491142273},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32339999079704285},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.32249999046325684},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3156999945640564},{"id":"https://openalex.org/C2993125243","wikidata":"https://www.wikidata.org/wiki/Q1474048","display_name":"Functional theory","level":3,"score":0.3052000105381012},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.29190000891685486},{"id":"https://openalex.org/C59593255","wikidata":"https://www.wikidata.org/wiki/Q901663","display_name":"Molecular dynamics","level":2,"score":0.2793000042438507},{"id":"https://openalex.org/C162478608","wikidata":"https://www.wikidata.org/wiki/Q4011369","display_name":"Uncompressed video","level":4,"score":0.25699999928474426},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.2554999887943268},{"id":"https://openalex.org/C61062188","wikidata":"https://www.wikidata.org/wiki/Q835065","display_name":"Second moment of area","level":2,"score":0.2540000081062317}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.06158","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.06158","pdf_url":"https://arxiv.org/pdf/2610.06158","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,"listed_in":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2610.06158","doi":"https://doi.org/10.48550/arxiv.2610.06158","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.06158","pdf_url":null,"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,"listed_in":[],"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.06158","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.06158","pdf_url":"https://arxiv.org/pdf/2610.06158","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,"listed_in":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"},{"id":"https://openalex.org/F4320324261","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220689883.pdf","grobid_xml":"https://content.openalex.org/works/W7220689883.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W3201073812","https://openalex.org/W4393023451"],"related_works":["https://openalex.org/W7117581637","https://openalex.org/W7212055377","https://openalex.org/W3117500427","https://openalex.org/W4206848246","https://openalex.org/W4396913258","https://openalex.org/W4416248622","https://openalex.org/W7084758379","https://openalex.org/W4417451465","https://openalex.org/W7170087577","https://openalex.org/W2093753777"],"abstract_inverted_index":{"We":[0,43,69],"propose":[1],"a":[2,30],"parameter-reduced":[3],"version":[4],"of":[5,27,32,47,64,85],"magnetic":[6,21],"Moment":[7],"Tensor":[8],"Potential":[9],"(mMTP)":[10],"based":[11],"on":[12,39],"various":[13],"matrix":[14],"and":[15,54,66,90,99],"tensor":[16],"decompositions.":[17],"The":[18],"resulting":[19],"compressed":[20,49,78],"machine-learning":[22],"potential":[23],"reduces":[24],"the":[25,40,45,48,72,77,86],"number":[26],"parameters":[28],"by":[29],"factor":[31],"approximately":[33],"1.5-3":[34],"without":[35],"compromising":[36],"predictive":[37],"performance":[38,46],"validation":[41],"set.":[42],"evaluate":[44],"potentials":[50],"for":[51],"magnetic,":[52],"structural,":[53],"vibrational":[55],"properties,":[56],"as":[57,59],"well":[58],"in":[60,92],"molecular":[61],"dynamics":[62],"simulations":[63],"Fe-Al":[65],"CrN":[67],"systems.":[68],"demonstrate":[70],"that":[71],"simulation":[73],"results":[74],"obtained":[75],"with":[76,83,94],"mMTP":[79],"are":[80,91],"numerically":[81],"consistent":[82],"those":[84],"original":[87],"uncompressed":[88],"model":[89],"agreement":[93],"density":[95],"functional":[96],"theory":[97],"calculations":[98],"experimental":[100],"data.":[101]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-07T00:00:00"}
