{"id":"https://openalex.org/W7224619940","doi":"https://doi.org/10.5281/zenodo.23774417","title":"When Regularization Prefers the Wrong Answer: Dam Seepage Inversion as a Negative Result","display_name":"When Regularization Prefers the Wrong Answer: Dam Seepage Inversion as a Negative Result","publication_year":2026,"publication_date":"2026-10-29","ids":{"openalex":"https://openalex.org/W7224619940","doi":"https://doi.org/10.5281/zenodo.23774417"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23774417","doi":"https://doi.org/10.5281/zenodo.23774417","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23774417","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23774417","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5152740790","display_name":"Petr Avtonomov","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Avtonomov, Petr","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5152740790"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9164999723434448,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9164999723434448,"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"}},{"id":"https://openalex.org/T10894","display_name":"Groundwater flow and contamination studies","score":0.032999999821186066,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10572","display_name":"Geophysical and Geoelectrical Methods","score":0.009700000286102295,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/dam-seepage","display_name":"dam seepage","score":0.9229999780654907},{"id":"https://openalex.org/keywords/inverse-problems","display_name":"inverse problems","score":0.8799999952316284},{"id":"https://openalex.org/keywords/regularization","display_name":"regularization","score":0.890999972820282},{"id":"https://openalex.org/keywords/l1-regularization","display_name":"L1 regularization","score":0.8550000190734863},{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.7979999780654907},{"id":"https://openalex.org/keywords/elastic-net","display_name":"elastic net","score":0.8629999756813049},{"id":"https://openalex.org/keywords/observability","display_name":"observability","score":0.6430000066757202},{"id":"https://openalex.org/keywords/sensor-placement","display_name":"sensor placement","score":0.5040000081062317},{"id":"https://openalex.org/keywords/darcy-flow","display_name":"Darcy flow","score":0.5609999895095825},{"id":"https://openalex.org/keywords/piezometers","display_name":"piezometers","score":0.6399999856948853},{"id":"https://openalex.org/keywords/total-variation","display_name":"total variation","score":0.4480000138282776},{"id":"https://openalex.org/keywords/condition-number","display_name":"condition number","score":0.7670000195503235},{"id":"https://openalex.org/keywords/observation-geometry","display_name":"observation geometry","score":0.4390000104904175}],"concepts":[{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.8077999949455261},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.748199999332428},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.670799970626831},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.5554999709129333},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5120000243186951},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.47780001163482666},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.47749999165534973},{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.474700003862381},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41269999742507935},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.39980000257492065},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39489999413490295},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.39149999618530273},{"id":"https://openalex.org/C106214006","wikidata":"https://www.wikidata.org/wiki/Q1455898","display_name":"Well-posed problem","level":2,"score":0.38589999079704285},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.3662000000476837},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.3596000075340271},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.3564999997615814},{"id":"https://openalex.org/C2780378346","wikidata":"https://www.wikidata.org/wiki/Q1349983","display_name":"Leak","level":2,"score":0.336899995803833},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.3091000020503998},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3037000000476837},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.3000999987125397},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.28790000081062317},{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.2851000130176544},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2703000009059906},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2680000066757202},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.259799987077713}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23774417","doi":"https://doi.org/10.5281/zenodo.23774417","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23774417","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23774418","doi":"https://doi.org/10.5281/zenodo.23774418","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23774418","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23774417","doi":"https://doi.org/10.5281/zenodo.23774417","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23774417","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7101233931","https://openalex.org/W1662838114","https://openalex.org/W2118558328","https://openalex.org/W2761010937","https://openalex.org/W2610187762","https://openalex.org/W2884270516","https://openalex.org/W2616627120","https://openalex.org/W7214229374","https://openalex.org/W3174863897","https://openalex.org/W7100076985"],"abstract_inverted_index":{"We":[0,128],"report":[1],"a":[2,10,25,32,36,50,63,86,102,140,152,174,202],"computational":[3],"experiment":[4],"applying":[5],"the":[6,20,42,73,77,81,95,98,107,118,122,147,156,162,169,196,211],"regularization":[7,188],"framework":[8],"to":[9,55,155,205],"2D":[11],"synthetic":[12],"dam":[13],"seepage":[14],"problem.":[15],"The":[16,44,59,89],"forward":[17],"model":[18],"uses":[19],"steady-state":[21],"Darcy":[22],"equation":[23],"on":[24,49],"layered":[26],"domain":[27],"with":[28,53,166],"two":[29],"Gaussian":[30],"sources:":[31],"main":[33,78],"leak":[34,39],"and":[35,172,194,209],"hidden":[37],"second":[38],"of":[40,76,146],"half":[41],"amplitude.":[43],"inverse":[45],"problem":[46],"is":[47,62,133],"posed":[48],"4800-cell":[51],"grid":[52],"up":[54],"20":[56],"training":[57],"piezometers.":[58],"central":[60],"finding":[61],"negative":[64],"result:":[65],"neither":[66],"L1,":[67],"L2,":[68],"nor":[69],"Elastic":[70],"Net":[71],"recovers":[72],"correct":[74],"depth":[75],"source.":[79],"Instead,":[80],"L1":[82,116],"prior":[83],"actively":[84],"prefers":[85],"shallow":[87,99],"artifact.":[88],"residual":[90,197],"Hessian":[91,198],"explains":[92],"this":[93,137],"via":[94],"\"Hessian-Murphy\"":[96],"phenomenon:":[97],"artifact":[100],"has":[101],"higher":[103],"diagonal":[104],"observability":[105],"than":[106],"true":[108],"source":[109],"(13.4":[110],"vs":[111],"6.2":[112],"normalized":[113],"units).":[114],"Because":[115],"minimizes":[117],"norm,":[119],"it":[120],"selects":[121],"more":[123],"observable,":[124],"but":[125],"incorrect,":[126],"cell.":[127],"prove":[129],"that":[130,187,195],"exact-cell":[131],"localization":[132],"structurally":[134],"impossible":[135],"at":[136,158],"operator":[138],"without":[139],"sensor":[141],"within":[142],"approximately":[143],"2":[144],"meters":[145],"target.":[148],"Furthermore,":[149],"we":[150],"record":[151],"formal":[153],"refinement":[154,180],"Manifesto:":[157],"D":[159,175],"=":[160,176],"Identity,":[161],"condition":[163],"number":[164],"decreases":[165],"alpha,":[167],"contradicting":[168],"theoretical":[170],"prediction":[171],"requiring":[173],"Gradient":[177],"(Total":[178],"Variation)":[179],"in":[181],"future":[182],"experiments.":[183],"This":[184],"work":[185],"demonstrates":[186],"cannot":[189],"substitute":[190],"for":[191],"observation":[192],"geometry,":[193],"can":[199],"serve":[200],"as":[201],"diagnostic":[203],"tool":[204],"predict":[206],"exactly":[207],"where":[208],"why":[210],"algorithm":[212],"will":[213],"fail.":[214]},"counts_by_year":[],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2026-10-30T00:00:00"}
