{"id":"https://openalex.org/W4403818978","doi":"https://doi.org/10.48550/arxiv.2410.00345","title":"A Taxonomy of Loss Functions for Stochastic Optimal Control","display_name":"A Taxonomy of Loss Functions for Stochastic Optimal Control","publication_year":2024,"publication_date":"2024-10-01","ids":{"openalex":"https://openalex.org/W4403818978","doi":"https://doi.org/10.48550/arxiv.2410.00345"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2410.00345","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2410.00345","pdf_url":"https://arxiv.org/pdf/2410.00345","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2410.00345","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037609573","display_name":"Carles Domingo-Enrich","orcid":"https://orcid.org/0000-0001-6738-5388"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Domingo-Enrich, Carles","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5037609573"],"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.3725000023841858,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.3725000023841858,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.32170000672340393,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/taxonomy","display_name":"Taxonomy (biology)","score":0.6613404154777527},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47420695424079895},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.44061899185180664},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3678092062473297},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3042845129966736},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21169233322143555},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.2103407084941864},{"id":"https://openalex.org/keywords/zoology","display_name":"Zoology","score":0.12120881676673889}],"concepts":[{"id":"https://openalex.org/C58642233","wikidata":"https://www.wikidata.org/wiki/Q8269924","display_name":"Taxonomy (biology)","level":2,"score":0.6613404154777527},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47420695424079895},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.44061899185180664},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3678092062473297},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3042845129966736},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21169233322143555},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.2103407084941864},{"id":"https://openalex.org/C90856448","wikidata":"https://www.wikidata.org/wiki/Q431","display_name":"Zoology","level":1,"score":0.12120881676673889}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2410.00345","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2410.00345","pdf_url":"https://arxiv.org/pdf/2410.00345","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"doi:10.48550/arxiv.2410.00345","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2410.00345","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,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2410.00345","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2410.00345","pdf_url":"https://arxiv.org/pdf/2410.00345","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"Stochastic":[0],"optimal":[1],"control":[2],"(SOC)":[3],"aims":[4],"to":[5,77,131],"direct":[6],"the":[7,67,79,83,105,117,133],"behavior":[8],"of":[9,26,73,137],"noisy":[10],"systems":[11],"and":[12,19,28,32,135],"has":[13,46],"widespread":[14],"applications":[15],"in":[16,66,108,122],"science,":[17],"engineering,":[18],"artificial":[20],"intelligence.":[21],"In":[22],"particular,":[23],"reward":[24,68],"fine-tuning":[25,69],"diffusion":[27],"flow":[29],"matching":[30],"models":[31],"sampling":[33],"from":[34],"unnormalized":[35],"methods":[36],"can":[37,98],"be":[38,99],"recast":[39],"as":[40],"SOC":[41,58,88,95,129],"problems.":[42],"A":[43],"recent":[44],"work":[45,75],"introduced":[47],"Adjoint":[48],"Matching":[49],"(Domingo-Enrich":[50],"et":[51],"al.,":[52],"2024),":[53],"a":[54],"loss":[55,64,89,96,139],"function":[56],"for":[57],"problems":[59],"that":[60,94,103,112],"vastly":[61],"outperforms":[62],"existing":[63,84],"functions":[65,97],"setup.":[70],"The":[71],"goal":[72],"this":[74],"is":[76,116],"clarify":[78],"connections":[80],"between":[81],"all":[82],"(and":[85],"some":[86],"new)":[87],"functions.":[90,140],"Namely,":[91],"we":[92],"show":[93],"grouped":[100],"into":[101],"classes":[102],"share":[104],"same":[106],"gradient":[107,124],"expectation,":[109],"which":[110],"means":[111],"their":[113,123],"optimization":[114],"landscape":[115],"same;":[118],"they":[119],"only":[120],"differ":[121],"variance.":[125],"We":[126],"perform":[127],"simple":[128],"experiments":[130],"understand":[132],"strengths":[134],"weaknesses":[136],"different":[138]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
