{"id":"https://openalex.org/W4406890451","doi":"https://doi.org/10.48550/arxiv.2501.16130","title":"ReFill: Reinforcement Learning for Fill-In Minimization","display_name":"ReFill: Reinforcement Learning for Fill-In Minimization","publication_year":2025,"publication_date":"2025-01-27","ids":{"openalex":"https://openalex.org/W4406890451","doi":"https://doi.org/10.48550/arxiv.2501.16130"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2501.16130","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2501.16130","pdf_url":"https://arxiv.org/pdf/2501.16130","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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/2501.16130","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091358318","display_name":"Elfarouk Harb","orcid":"https://orcid.org/0000-0002-7770-0932"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Harb, Elfarouk","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5048025910","display_name":"Heung\u2010Fai Lam","orcid":"https://orcid.org/0000-0003-3177-1169"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lam, Ho Shan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"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/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.8431000113487244,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.8431000113487244,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/reinforcement-learning","display_name":"Reinforcement learning","score":0.7270376682281494},{"id":"https://openalex.org/keywords/reinforcement","display_name":"Reinforcement","score":0.6898143291473389},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5302566885948181},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.470925509929657},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3115812838077545},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.19933217763900757},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.1292082965373993},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.06275728344917297}],"concepts":[{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.7270376682281494},{"id":"https://openalex.org/C67203356","wikidata":"https://www.wikidata.org/wiki/Q1321905","display_name":"Reinforcement","level":2,"score":0.6898143291473389},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5302566885948181},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.470925509929657},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3115812838077545},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.19933217763900757},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.1292082965373993},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.06275728344917297}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2501.16130","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2501.16130","pdf_url":"https://arxiv.org/pdf/2501.16130","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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:10.48550/arxiv.2501.16130","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2501.16130","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2501.16130","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2501.16130","pdf_url":"https://arxiv.org/pdf/2501.16130","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4406890451.pdf","grobid_xml":"https://content.openalex.org/works/W4406890451.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4310083477","https://openalex.org/W2328553770","https://openalex.org/W2920061524","https://openalex.org/W1977959518","https://openalex.org/W2038908348","https://openalex.org/W2107890255","https://openalex.org/W2106552856"],"abstract_inverted_index":{"Efficiently":[0],"solving":[1],"sparse":[2],"linear":[3],"systems":[4,35],"$Ax=b$,":[5],"where":[6],"$A$":[7],"is":[8,16,36,51],"a":[9,17,72,92],"large,":[10],"sparse,":[11],"symmetric":[12],"positive":[13],"semi-definite":[14],"matrix,":[15],"core":[18],"challenge":[19],"in":[20,30,119],"scientific":[21],"computing,":[22],"machine":[23],"learning,":[24],"and":[25,46,53,59],"optimization.":[26],"A":[27],"major":[28],"bottleneck":[29],"Gaussian":[31],"elimination":[32,98],"for":[33,87,129],"these":[34],"fill-in,":[37,121],"the":[38,107,123],"creation":[39],"of":[40,109,126],"non-zero":[41],"entries":[42],"that":[43,114],"increase":[44],"memory":[45],"computational":[47],"cost.":[48],"Minimizing":[49],"fill-in":[50,88],"NP-hard,":[52],"existing":[54],"heuristics":[55,102,118],"like":[56],"Minimum":[57],"Degree":[58],"Nested":[60],"Dissection":[61],"offer":[62],"limited":[63],"adaptability":[64],"across":[65],"diverse":[66],"problem":[67],"instances.":[68],"We":[69],"introduce":[70],"\\textit{ReFill},":[71],"reinforcement":[73],"learning":[74],"framework":[75],"enhanced":[76],"by":[77,103],"Graph":[78],"Neural":[79],"Networks":[80],"(GNNs)":[81],"to":[82,95,106],"learn":[83],"adaptive":[84],"ordering":[85],"strategies":[86],"minimization.":[89],"ReFill":[90,115],"trains":[91],"GNN-based":[93],"heuristic":[94],"predict":[96],"efficient":[97],"orders,":[99],"outperforming":[100],"traditional":[101],"dynamically":[104],"adapting":[105],"structure":[108],"input":[110],"matrices.":[111],"Experiments":[112],"demonstrate":[113],"outperforms":[116],"strong":[117],"reducing":[120],"highlighting":[122],"untapped":[124],"potential":[125],"learning-based":[127],"methods":[128],"this":[130],"well-studied":[131],"classical":[132],"problem.":[133]},"counts_by_year":[],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2025-10-10T00:00:00"}