{"id":"https://openalex.org/W4404525659","doi":"https://doi.org/10.1145/3687990","title":"Solving Inverse PDE Problems using Grid-Free Monte Carlo Estimators","display_name":"Solving Inverse PDE Problems using Grid-Free Monte Carlo Estimators","publication_year":2024,"publication_date":"2024-11-19","ids":{"openalex":"https://openalex.org/W4404525659","doi":"https://doi.org/10.1145/3687990"},"language":"en","primary_location":{"id":"doi:10.1145/3687990","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3687990","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3687990","source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3687990","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021369846","display_name":"Ekrem Fatih Y\u0131lmazer","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Ekrem Fatih Yilmazer","raw_affiliation_strings":["EPFL, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"EPFL, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032242161","display_name":"Delio Vicini","orcid":"https://orcid.org/0000-0001-6330-6849"},"institutions":[{"id":"https://openalex.org/I4210100430","display_name":"Google (Switzerland)","ror":"https://ror.org/014f9c269","country_code":"CH","type":"company","lineage":["https://openalex.org/I1291425158","https://openalex.org/I4210100430","https://openalex.org/I4210128969"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Delio Vicini","raw_affiliation_strings":["Google, Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Google, Zurich, Switzerland","institution_ids":["https://openalex.org/I4210100430"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102848203","display_name":"Wenzel Jakob","orcid":"https://orcid.org/0000-0002-6090-1121"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Wenzel Jakob","raw_affiliation_strings":["EPFL, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"EPFL, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5021369846"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":2.8854,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.91540134,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"43","issue":"6","first_page":"1","last_page":"18"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11778","display_name":"Electrical and Bioimpedance Tomography","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11778","display_name":"Electrical and Bioimpedance Tomography","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T12537","display_name":"Flow Measurement and Analysis","score":0.993399977684021,"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"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9861999750137329,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.69511878490448},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.6909915208816528},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5920171737670898},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5676555037498474},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5238649845123291},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5097123980522156},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4391050934791565},{"id":"https://openalex.org/keywords/monte-carlo-integration","display_name":"Monte Carlo integration","score":0.4216678738594055},{"id":"https://openalex.org/keywords/hybrid-monte-carlo","display_name":"Hybrid Monte Carlo","score":0.38190212845802307},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37839651107788086},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.36629462242126465},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3317587971687317},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.32060664892196655},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1139841377735138},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10013222694396973}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.69511878490448},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.6909915208816528},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5920171737670898},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5676555037498474},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5238649845123291},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5097123980522156},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4391050934791565},{"id":"https://openalex.org/C132725507","wikidata":"https://www.wikidata.org/wiki/Q39879","display_name":"Monte Carlo integration","level":5,"score":0.4216678738594055},{"id":"https://openalex.org/C13153151","wikidata":"https://www.wikidata.org/wiki/Q1639846","display_name":"Hybrid Monte Carlo","level":4,"score":0.38190212845802307},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37839651107788086},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.36629462242126465},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3317587971687317},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.32060664892196655},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1139841377735138},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10013222694396973}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3687990","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3687990","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3687990","source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3687990","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3687990","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3687990","source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.4399999976158142,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404525659.pdf"},"referenced_works_count":53,"referenced_works":["https://openalex.org/W613352991","https://openalex.org/W1528971999","https://openalex.org/W1564611446","https://openalex.org/W1905963256","https://openalex.org/W1968445019","https://openalex.org/W1986998032","https://openalex.org/W1992290308","https://openalex.org/W2005681075","https://openalex.org/W2006533898","https://openalex.org/W2037970368","https://openalex.org/W2049253431","https://openalex.org/W2083598195","https://openalex.org/W2088751297","https://openalex.org/W2124929650","https://openalex.org/W2139226296","https://openalex.org/W2261730354","https://openalex.org/W2278331350","https://openalex.org/W2518945384","https://openalex.org/W2530658473","https://openalex.org/W2735337215","https://openalex.org/W2754288225","https://openalex.org/W2759764994","https://openalex.org/W2775145835","https://openalex.org/W2795198316","https://openalex.org/W2902812770","https://openalex.org/W2903093723","https://openalex.org/W2985626319","https://openalex.org/W2986023562","https://openalex.org/W2999516274","https://openalex.org/W3005368325","https://openalex.org/W3048432586","https://openalex.org/W3048668559","https://openalex.org/W3048916779","https://openalex.org/W3106721722","https://openalex.org/W3184289337","https://openalex.org/W3184797601","https://openalex.org/W3185113610","https://openalex.org/W3185731908","https://openalex.org/W4213406565","https://openalex.org/W4214969004","https://openalex.org/W4221146591","https://openalex.org/W4234110353","https://openalex.org/W4245933748","https://openalex.org/W4286611048","https://openalex.org/W4286611307","https://openalex.org/W4299646815","https://openalex.org/W4310443813","https://openalex.org/W4376103876","https://openalex.org/W4376862149","https://openalex.org/W4389539279","https://openalex.org/W4400573554","https://openalex.org/W4400822417","https://openalex.org/W6847183385"],"related_works":["https://openalex.org/W2305965628","https://openalex.org/W4226314133","https://openalex.org/W3186706744","https://openalex.org/W3192708935","https://openalex.org/W227870709","https://openalex.org/W2959831473","https://openalex.org/W2040790268","https://openalex.org/W2592308920","https://openalex.org/W2047834101","https://openalex.org/W3000200136"],"abstract_inverted_index":{"Partial":[0],"differential":[1],"equations":[2],"can":[3,126],"model":[4],"diverse":[5],"physical":[6],"phenomena":[7],"including":[8],"heat":[9],"diffusion,":[10],"incompressible":[11],"flows,":[12],"and":[13,23,35,40,55,68,105,118,156,160,180],"electrostatic":[14],"potentials.":[15],"Given":[16],"a":[17,38,71,97,181,193,201],"description":[18],"of":[19,88,96,192],"an":[20,52,92],"object's":[21],"boundary":[22,104],"interior,":[24],"traditional":[25],"methods":[26],"solve":[27],"such":[28],"PDEs":[29],"by":[30],"densely":[31],"meshing":[32],"the":[33,85,103,108,190],"interior":[34],"then":[36],"solving":[37],"large":[39],"sparse":[41],"linear":[42],"system":[43],"derived":[44],"from":[45,123,196],"this":[46,57,79,89,139],"mesh.":[47],"Recent":[48],"grid-free":[49,109],"solvers":[50],"take":[51],"alternative":[53],"approach":[54,175],"avoid":[56],"complexity":[58],"in":[59,168,200],"exchange":[60],"for":[61],"randomness:":[62],"they":[63],"compute":[64,130],"stochastic":[65],"solution":[66,95],"estimates":[67,133],"generally":[69],"bear":[70],"striking":[72],"resemblance":[73],"to":[74,116,129,149,163],"physically-based":[75],"rendering":[76],"algorithms.":[77],"In":[78,107,138],"article,":[80],"we":[81,99,119,141,188],"develop":[82],"algorithms":[83],"targeting":[84],"inverse":[86],"form":[87],"problem:":[90],"given":[91],"already":[93],"existing":[94],"PDE,":[98],"infer":[100],"parameters":[101],"characterizing":[102],"interior.":[106],"setting,":[110],"there":[111],"are":[112],"again":[113],"significant":[114],"connections":[115],"rendering,":[117],"show":[120,161],"how":[121,162],"insights":[122],"both":[124,177],"fields":[125],"be":[127,147],"combined":[128],"unbiased":[131],"derivative":[132],"that":[134,145],"enable":[135],"gradient-based":[136],"optimization.":[137],"process,":[140],"encounter":[142],"new":[143],"challenges":[144],"must":[146],"addressed":[148],"obtain":[150],"practical":[151],"solutions.":[152],"We":[153,171],"introduce":[154],"acceleration":[155],"variance":[157],"reduction":[158],"strategies":[159],"differentiate":[164],"branching":[165],"random":[166],"walks":[167],"reverse":[169],"mode.":[170],"finally":[172],"demonstrate":[173],"our":[174],"on":[176],"simulated":[178],"data":[179],"real-world":[182],"electrical":[183],"impedance":[184],"tomography":[185],"experiment,":[186],"where":[187],"reconstruct":[189],"position":[191],"conducting":[194],"object":[195],"voltage":[197],"measurements":[198],"taken":[199],"saline-filled":[202],"tank.":[203]},"counts_by_year":[{"year":2025,"cited_by_count":13}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
