{"id":"https://openalex.org/W7201877321","doi":"https://doi.org/10.1109/codit70676.2026.11630803","title":"Tensor Network Methods for Advection\u2013Diffusion\u2013Reaction Systems Using Quantum-Inspired Representations","display_name":"Tensor Network Methods for Advection\u2013Diffusion\u2013Reaction Systems Using Quantum-Inspired Representations","publication_year":2026,"publication_date":"2026-07-01","ids":{"openalex":"https://openalex.org/W7201877321","doi":"https://doi.org/10.1109/codit70676.2026.11630803"},"language":"en","primary_location":{"id":"doi:10.1109/codit70676.2026.11630803","doi":"https://doi.org/10.1109/codit70676.2026.11630803","is_oa":false,"landing_page_url":"https://doi.org/10.1109/codit70676.2026.11630803","pdf_url":null,"source":{"id":"https://openalex.org/S4363607900","display_name":"International Conference on Control, Decision and Information Technologies (CoDIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2026 12th International Conference on Control, Decision and Information Technologies (CoDIT)","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.scopus.com/pages/publications/105047839182","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041894093","display_name":"Nahid Binandeh Dehaghani","orcid":"https://orcid.org/0000-0002-0370-7744","observed_orcids":["https://orcid.org/0000-0002-0370-7744"]},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Nahid Binandeh Dehaghani","raw_affiliation_strings":["Aalborg University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aalborg University","institution_ids":["https://openalex.org/I891191580"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040098270","display_name":"Rafa\u0142 Wi\u015bniewski","orcid":"https://orcid.org/0000-0001-6719-8427","observed_orcids":["https://orcid.org/0000-0001-6719-8427","https://orcid.org/0009-0003-3444-9703"]},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Rafal Wisniewski","raw_affiliation_strings":["Aalborg University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aalborg University","institution_ids":["https://openalex.org/I891191580"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5125642814","display_name":"A. Pedro Aguiar","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"A. Pedro Aguiar","raw_affiliation_strings":["University of Porto"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Porto","institution_ids":["https://openalex.org/I182534213"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.62130314,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2825","last_page":"2830"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.5830000042915344,"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"}},"topics":[{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.5830000042915344,"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/T11416","display_name":"Numerical methods for differential equations","score":0.15410000085830688,"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"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.09969999641180038,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tensor-networks","display_name":"tensor networks","score":0.8709999918937683},{"id":"https://openalex.org/keywords/matrix-product-states","display_name":"matrix product states","score":0.9409999847412109},{"id":"https://openalex.org/keywords/matrix-product-operators","display_name":"matrix product operators","score":1.0},{"id":"https://openalex.org/keywords/partial-differential-equations","display_name":"partial differential equations","score":0.8949999809265137},{"id":"https://openalex.org/keywords/truncation","display_name":"truncation","score":0.574999988079071},{"id":"https://openalex.org/keywords/bond-dimension","display_name":"bond dimension","score":0.7329999804496765},{"id":"https://openalex.org/keywords/structure-preserving-numerical-methods","display_name":"structure-preserving numerical methods","score":0.7440000176429749},{"id":"https://openalex.org/keywords/runge-kutta-method-comparison","display_name":"Runge-Kutta comparison","score":0.7710000276565552}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47609999775886536},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.41100001335144043},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4104999899864197},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3896999955177307},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.3635999858379364},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35920000076293945},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3391999900341034},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.29330000281333923},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.29280000925064087},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.2890999913215637},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.28459998965263367},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2842000126838684},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.2728999853134155},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.2669000029563904},{"id":"https://openalex.org/C2986737658","wikidata":"https://www.wikidata.org/wiki/Q30103009","display_name":"Tensor decomposition","level":3,"score":0.26579999923706055},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.25209999084472656},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.25049999356269836}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/codit70676.2026.11630803","doi":"https://doi.org/10.1109/codit70676.2026.11630803","is_oa":false,"landing_page_url":"https://doi.org/10.1109/codit70676.2026.11630803","pdf_url":null,"source":{"id":"https://openalex.org/S4363607900","display_name":"International Conference on Control, Decision and Information Technologies (CoDIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2026 12th International Conference on Control, Decision and Information Technologies (CoDIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.atira.dk:publications/a37065a9-68cf-4ce3-83e8-66d00debf76c","doi":null,"is_oa":true,"landing_page_url":"https://www.scopus.com/pages/publications/105047839182","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"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":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:publications/a37065a9-68cf-4ce3-83e8-66d00debf76c","doi":null,"is_oa":true,"landing_page_url":"https://www.scopus.com/pages/publications/105047839182","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"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":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1902819800","https://openalex.org/W1967859589","https://openalex.org/W1993482030","https://openalex.org/W2004203093","https://openalex.org/W2033368244","https://openalex.org/W2042308234","https://openalex.org/W2122816100","https://openalex.org/W4412738375"],"related_works":["https://openalex.org/W7167891398","https://openalex.org/W7130556750","https://openalex.org/W4402855491","https://openalex.org/W7102329676","https://openalex.org/W4378770722","https://openalex.org/W4417210031","https://openalex.org/W4321481275","https://openalex.org/W2326523665","https://openalex.org/W3104980255","https://openalex.org/W4392104304"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,78],"quantum-inspired":[3],"tensor-network":[4,39],"framework":[5],"for":[6,113],"solving":[7],"advection\u2013diffusion\u2013reaction":[8],"(ADR)":[9],"partial":[10],"differential":[11,24],"equations.":[12],"Discretized":[13],"solution":[14,88],"fields":[15],"are":[16,26],"encoded":[17],"as":[18,28,109],"matrix":[19,29],"product":[20,30],"states":[21],"(MPS),":[22],"while":[23,93],"operators":[25,31],"represented":[27],"(MPOs).":[32],"Time":[33],"integration":[34],"is":[35,50],"performed":[36],"entirely":[37],"in":[38,116],"form":[40],"using":[41],"explicit":[42],"Euler":[43],"updates":[44],"with":[45,60],"controlled":[46],"truncation.":[47],"The":[48,83],"method":[49],"evaluated":[51],"on":[52],"one-":[53],"and":[54,58,75,90],"two-dimensional":[55],"ADR":[56],"problems":[57],"compared":[59],"high-accuracy":[61],"Runge\u2013Kutta":[62],"reference":[63],"solutions.":[64],"Numerical":[65],"results":[66,102],"show":[67],"that":[68],"the":[69,99,104],"proposed":[70],"representation":[71],"remains":[72],"compact,":[73],"stable,":[74],"accurate":[76],"across":[77],"range":[79],"of":[80,106],"dynamical":[81],"regimes.":[82],"solver":[84],"captures":[85],"both":[86],"local":[87],"profiles":[89],"global":[91],"observables":[92],"maintaining":[94],"small":[95],"bond":[96],"dimensions":[97],"throughout":[98],"simulation.":[100],"These":[101],"highlight":[103],"potential":[105],"tensor":[107],"networks":[108],"efficient":[110],"structure-preserving":[111],"tools":[112],"PDE":[114],"simulation":[115],"multiple":[117],"spatial":[118],"dimensions.":[119]},"counts_by_year":[],"updated_date":"2026-10-05T09:50:58.205359","created_date":"2026-08-08T00:00:00"}
