{"id":"https://openalex.org/W7223301434","doi":"https://doi.org/10.48550/arxiv.2610.30294","title":"Optimal cosmological cross-correlation analysis with U-Net-based processing","display_name":"Optimal cosmological cross-correlation analysis with U-Net-based processing","publication_year":2026,"publication_date":"2026-10-21","ids":{"openalex":"https://openalex.org/W7223301434","doi":"https://doi.org/10.48550/arxiv.2610.30294"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.30294","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.30294","pdf_url":"https://arxiv.org/pdf/2610.30294","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,"listed_in":[],"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":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.30294","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5159356871","display_name":"Weitong Yan","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Yan, Weitong","raw_affiliation_strings":["University Observatory , Faculty of Physics , Ludwig-Maximilians-Universit\u00e4t , Scheinerstr. 1 , 81679 Munich , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University Observatory , Faculty of Physics , Ludwig-Maximilians-Universit\u00e4t , Scheinerstr. 1 , 81679 Munich , Germany","institution_ids":["https://openalex.org/I8204097"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5159372829","display_name":"Daniel Gr\u00fcn","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gr\u00fcn, Daniel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103910213","display_name":"Oliver Friedrich","orcid":"https://orcid.org/0000-0001-6120-4988","observed_orcids":["https://orcid.org/0000-0001-6120-4988"]},"institutions":[{"id":"https://openalex.org/I4210099156","display_name":"Excellence Cluster Origins","ror":"https://ror.org/010wkny21","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210099156","https://openalex.org/I8204097"]},{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Friedrich, Oliver","raw_affiliation_strings":["Excellence Cluster ORIGINS , Boltzmannstr. 2 , 85748 Garching , Germany","University Observatory , Faculty of Physics , Ludwig-Maximilians-Universit\u00e4t , Scheinerstr. 1 , 81679 Munich , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Excellence Cluster ORIGINS , Boltzmannstr. 2 , 85748 Garching , Germany","institution_ids":["https://openalex.org/I4210099156"]},{"raw_affiliation_string":"University Observatory , Faculty of Physics , Ludwig-Maximilians-Universit\u00e4t , Scheinerstr. 1 , 81679 Munich , Germany","institution_ids":["https://openalex.org/I8204097"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5159320263","display_name":"Andr\u00e1s Kov\u00e1cs","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I2802129078","display_name":"Konkoly Observatory","ror":"https://ror.org/039jmcx36","country_code":"HU","type":"facility","lineage":["https://openalex.org/I2802129078","https://openalex.org/I4210128682","https://openalex.org/I4387152226"]},{"id":"https://openalex.org/I4210128682","display_name":"HUN-REN Research Centre for Astronomy and Earth Sciences","ror":"https://ror.org/036wvs663","country_code":"HU","type":"facility","lineage":["https://openalex.org/I4210128682","https://openalex.org/I4387152226"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Kov\u00e1cs, Andr\u00e1s","raw_affiliation_strings":["Konkoly Observatory , HUN-REN CSFK , MTA Centre of Excellence , Budapest , Konkoly Thege Mikl\u00f3s \u00fat 15-17. H-1121 , Hungary","MTA-CSFK Lend\u00fclet Large-Scale Structure Research Group , Konkoly-Thege Mikl\u00f3s \u00fat 15-17 , H-1121 Budapest , Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Konkoly Observatory , HUN-REN CSFK , MTA Centre of Excellence , Budapest , Konkoly Thege Mikl\u00f3s \u00fat 15-17. H-1121 , Hungary","institution_ids":["https://openalex.org/I2802129078","https://openalex.org/I4210128682"]},{"raw_affiliation_string":"MTA-CSFK Lend\u00fclet Large-Scale Structure Research Group , Konkoly-Thege Mikl\u00f3s \u00fat 15-17 , H-1121 Budapest , Hungary","institution_ids":["https://openalex.org/I4210128682"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.7651000022888184,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.7651000022888184,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T10026","display_name":"Galaxies: Formation, Evolution, Phenomena","score":0.13989999890327454,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T14163","display_name":"Astronomical Observations and Instrumentation","score":0.01269999984651804,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/u-net","display_name":"U-Net","score":0.9589999914169312},{"id":"https://openalex.org/keywords/non-gaussianity","display_name":"non-Gaussianity","score":0.8050000071525574},{"id":"https://openalex.org/keywords/higher-order-statistics","display_name":"higher-order statistics","score":0.7649999856948853},{"id":"https://openalex.org/keywords/lognormal-random-field","display_name":"lognormal random field","score":0.9160000085830688},{"id":"https://openalex.org/keywords/matched-filter","display_name":"matched filter","score":0.7950000166893005},{"id":"https://openalex.org/keywords/power-spectrum","display_name":"power spectrum","score":0.7509999871253967}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7139000296592712},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.652400016784668},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.47099998593330383},{"id":"https://openalex.org/C130402806","wikidata":"https://www.wikidata.org/wiki/Q5361768","display_name":"Random field","level":2,"score":0.4648999869823456},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.46380001306533813},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.444599986076355},{"id":"https://openalex.org/C2780092901","wikidata":"https://www.wikidata.org/wiki/Q3433612","display_name":"Correlation coefficient","level":2,"score":0.43369999527931213},{"id":"https://openalex.org/C55078378","wikidata":"https://www.wikidata.org/wiki/Q1136628","display_name":"Pearson product-moment correlation coefficient","level":2,"score":0.4219000041484833},{"id":"https://openalex.org/C163175372","wikidata":"https://www.wikidata.org/wiki/Q3339222","display_name":"Linear model","level":2,"score":0.420199990272522},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41850000619888306},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.41179999709129333},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.37439998984336853},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.36160001158714294},{"id":"https://openalex.org/C51267290","wikidata":"https://www.wikidata.org/wiki/Q5527848","display_name":"Gaussian random field","level":4,"score":0.3537999987602234},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33480000495910645},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.334199994802475},{"id":"https://openalex.org/C139722471","wikidata":"https://www.wikidata.org/wiki/Q2619517","display_name":"Linear filter","level":3,"score":0.33309999108314514},{"id":"https://openalex.org/C96608239","wikidata":"https://www.wikidata.org/wiki/Q1199823","display_name":"Statistical power","level":2,"score":0.3325999975204468},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3190999925136566},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.3109000027179718},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.3075999915599823},{"id":"https://openalex.org/C49766605","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear map","level":2,"score":0.30630001425743103},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.3050999939441681},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29499998688697815},{"id":"https://openalex.org/C59375849","wikidata":"https://www.wikidata.org/wiki/Q5013513","display_name":"COSMIC cancer database","level":2,"score":0.2897999882698059},{"id":"https://openalex.org/C2989041947","wikidata":"https://www.wikidata.org/wiki/Q186290","display_name":"Linear correlation","level":2,"score":0.2750000059604645},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.27239999175071716},{"id":"https://openalex.org/C51432778","wikidata":"https://www.wikidata.org/wiki/Q1259145","display_name":"Independent component analysis","level":2,"score":0.2689000070095062},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.26649999618530273},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.26350000500679016},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.262800008058548},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.25999999046325684},{"id":"https://openalex.org/C2776502983","wikidata":"https://www.wikidata.org/wiki/Q690182","display_name":"Contrast (vision)","level":2,"score":0.25859999656677246},{"id":"https://openalex.org/C166550679","wikidata":"https://www.wikidata.org/wiki/Q263400","display_name":"Gaussian network model","level":3,"score":0.257999986410141},{"id":"https://openalex.org/C2778863792","wikidata":"https://www.wikidata.org/wiki/Q16909918","display_name":"TRACER","level":2,"score":0.25220000743865967}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.30294","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.30294","pdf_url":"https://arxiv.org/pdf/2610.30294","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,"listed_in":[],"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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2610.30294","doi":"https://doi.org/10.48550/arxiv.2610.30294","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.30294","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,"listed_in":[],"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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.30294","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.30294","pdf_url":"https://arxiv.org/pdf/2610.30294","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,"listed_in":[],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G4036711954","display_name":null,"funder_award_id":"NN147550","funder_id":"https://openalex.org/F4320321994","funder_display_name":"Hungarian Scientific Research Fund"},{"id":"https://openalex.org/G4066435496","display_name":null,"funder_award_id":"EXC\u00a02094","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G4352188076","display_name":null,"funder_award_id":"OTKA NN147550","funder_id":"https://openalex.org/F4320326762","funder_display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal"},{"id":"https://openalex.org/G439148742","display_name":"EXC 2094: ORIGINS: Vom Ursprung des Universums bis zu den ersten Bausteinen des Lebens","funder_award_id":"390783311","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7968795700","display_name":null,"funder_award_id":"NN147550","funder_id":"https://openalex.org/F4320326762","funder_display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321994","display_name":"Hungarian Scientific Research Fund","ror":"https://ror.org/00v349e63"},{"id":"https://openalex.org/F4320322192","display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia","ror":"https://ror.org/02ks8qq67"},{"id":"https://openalex.org/F4320326762","display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal","ror":null},{"id":"https://openalex.org/F4320334322","display_name":"HORIZON EUROPE Framework Programme","ror":null},{"id":"https://openalex.org/F4320336675","display_name":"National Research, Development and Innovation Office","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223301434.pdf","grobid_xml":"https://content.openalex.org/works/W7223301434.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W6894144033","https://openalex.org/W6910524665"],"related_works":["https://openalex.org/W4313366888","https://openalex.org/W4385651467","https://openalex.org/W7096536347","https://openalex.org/W7168250926","https://openalex.org/W3127815518","https://openalex.org/W3134451529","https://openalex.org/W4401581143","https://openalex.org/W4391912731","https://openalex.org/W4413220698","https://openalex.org/W2166239119"],"abstract_inverted_index":{"Cosmological":[0],"cross-correlation":[1,59,243],"analyses":[2],"are":[3,10],"commonly":[4],"based":[5,112],"on":[6,104,113],"two-point":[7,62],"statistics,":[8,41],"which":[9,28],"optimal":[11],"for":[12,195,201,240],"Gaussian":[13,114,146,149],"random":[14,117],"fields":[15,107],"but":[16],"do":[17],"not":[18],"capture":[19],"all":[20],"relevant":[21],"information":[22,60,213,231],"in":[23,31,144,166],"the":[24,78,96,125,130,135,139,145,151,154,172,176,185,189,196,202,208,215,233],"presence":[25],"of":[26,38,77],"non-Gaussianity,":[27],"is":[29,45,210],"ubiquitous":[30],"late-time":[32],"cosmic":[33],"fields.":[34,118],"This":[35,205],"motivates":[36],"investigations":[37],"higher":[39],"order":[40],"and":[42,70,108,115,121,133,159,179],"one":[43],"method":[44],"to":[46,50,199,212],"use":[47],"machine":[48],"learning":[49],"construct":[51],"a":[52,65,71,84,88,101,237],"correlation-optimized":[53],"tracer":[54,66,90,225],"field":[55,67,74,91,132],"that":[56,92,207,223],"can":[57,86,227],"utilize":[58],"beyond":[61,214,232],"statistics.":[63],"Using":[64],"as":[68,75,161],"input":[69],"paired":[72,105],"target":[73,97,131,186],"part":[76],"cost":[79],"function,":[80],"we":[81],"test":[82],"whether":[83],"U-Net":[85,103,152,203],"learn":[87],"transformed":[89],"maximally":[93],"correlates":[94],"with":[95,129,138,184],"field.":[98],"We":[99,119],"train":[100,120],"1D":[102,220],"simulated":[106],"study":[109],"controlled":[110,219],"cases":[111],"log-normal":[116,170],"quantify":[122],"performance":[123],"using":[124],"Pearson":[126,191],"correlation":[127,183,192],"coefficient":[128],"compare":[134],"network":[136,173,209],"output":[137],"analytic":[140],"linear":[141,156,177,197],"solution":[142,157],"known":[143],"limit.":[147],"For":[148,169],"fields,":[150,171],"reproduces":[153],"expected":[155],"closely":[158],"behaves":[160],"an":[162,181],"effective":[163],"matched":[164],"filter":[165],"frequency":[167],"space.":[168],"departs":[174],"from":[175,193],"estimator":[178,198],"achieves":[180],"improved":[182],"field,":[187],"increasing":[188],"mean":[190],"0.857":[194],"0.953":[200],"output.":[204],"indicates":[206],"sensitive":[211],"power":[216,234],"spectrum.":[217],"These":[218],"experiments":[221],"show":[222],"U-Net-based":[224],"transformation":[226],"effectively":[228],"extract":[229],"correlation-relevant":[230],"spectrum,":[235],"providing":[236],"promising":[238],"framework":[239],"enhancing":[241],"cosmological":[242],"analyses.":[244]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-24T00:00:00"}
