{"id":"https://openalex.org/W4400188176","doi":"https://doi.org/10.1109/tsp.2024.3420930","title":"Bispectrum Unbiasing for Dilation-Invariant Multi-Reference Alignment","display_name":"Bispectrum Unbiasing for Dilation-Invariant Multi-Reference Alignment","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4400188176","doi":"https://doi.org/10.1109/tsp.2024.3420930"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2024.3420930","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tsp.2024.3420930","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5093992731","display_name":"Liping Yin","orcid":"https://orcid.org/0000-0003-2750-9272"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Liping Yin","raw_affiliation_strings":["CMSE Department and Mathematics Department, Michigan State University, East Lansing, MI, USA"],"affiliations":[{"raw_affiliation_string":"CMSE Department and Mathematics Department, Michigan State University, East Lansing, MI, USA","institution_ids":["https://openalex.org/I87216513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063777231","display_name":"Anna Little","orcid":"https://orcid.org/0000-0003-0339-9259"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anna Little","raw_affiliation_strings":["Department of Mathematics and the Utah Center For Data Science, University of Utah, Salt Lake City, UT, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and the Utah Center For Data Science, University of Utah, Salt Lake City, UT, USA","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044875969","display_name":"Matthew Hirn","orcid":"https://orcid.org/0000-0003-0290-4292"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew Hirn","raw_affiliation_strings":["CMSE Department and Mathematics Department, Michigan State University, East Lansing, MI, USA"],"affiliations":[{"raw_affiliation_string":"CMSE Department and Mathematics Department, Michigan State University, East Lansing, MI, USA","institution_ids":["https://openalex.org/I87216513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5093992731"],"corresponding_institution_ids":["https://openalex.org/I87216513"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1002784,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"72","issue":null,"first_page":"3761","last_page":"3775"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9796000123023987,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9793000221252441,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bispectrum","display_name":"Bispectrum","score":0.8494997024536133},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5665663480758667},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4939499497413635},{"id":"https://openalex.org/keywords/dilation","display_name":"Dilation (metric space)","score":0.45872968435287476},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.437865287065506},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4057573080062866},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3917965292930603},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3846897780895233},{"id":"https://openalex.org/keywords/speech-recognition","display_name":"Speech recognition","score":0.36697959899902344},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.23089554905891418},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.12465572357177734},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10651439428329468}],"concepts":[{"id":"https://openalex.org/C114148568","wikidata":"https://www.wikidata.org/wiki/Q2410583","display_name":"Bispectrum","level":3,"score":0.8494997024536133},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5665663480758667},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4939499497413635},{"id":"https://openalex.org/C2780757906","wikidata":"https://www.wikidata.org/wiki/Q5276676","display_name":"Dilation (metric space)","level":2,"score":0.45872968435287476},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.437865287065506},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4057573080062866},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3917965292930603},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3846897780895233},{"id":"https://openalex.org/C28490314","wikidata":"https://www.wikidata.org/wiki/Q189436","display_name":"Speech recognition","level":1,"score":0.36697959899902344},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.23089554905891418},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.12465572357177734},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10651439428329468},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2024.3420930","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tsp.2024.3420930","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8778610167","display_name":null,"funder_award_id":"DMS-2309570","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W48853748","https://openalex.org/W1518684704","https://openalex.org/W1583323312","https://openalex.org/W1859286739","https://openalex.org/W1868173709","https://openalex.org/W1963623641","https://openalex.org/W1967962670","https://openalex.org/W1979715606","https://openalex.org/W1986347357","https://openalex.org/W1994906459","https://openalex.org/W1995640533","https://openalex.org/W2006908269","https://openalex.org/W2013831456","https://openalex.org/W2013913072","https://openalex.org/W2015911499","https://openalex.org/W2021209514","https://openalex.org/W2028995298","https://openalex.org/W2030285394","https://openalex.org/W2033142014","https://openalex.org/W2033154334","https://openalex.org/W2049700806","https://openalex.org/W2093835340","https://openalex.org/W2094424694","https://openalex.org/W2130581715","https://openalex.org/W2133956643","https://openalex.org/W2135303325","https://openalex.org/W2143703915","https://openalex.org/W2147554450","https://openalex.org/W2158453800","https://openalex.org/W2166603076","https://openalex.org/W2171244244","https://openalex.org/W2259617270","https://openalex.org/W2536490006","https://openalex.org/W2547811925","https://openalex.org/W2598300585","https://openalex.org/W2610514561","https://openalex.org/W2617270682","https://openalex.org/W2777227381","https://openalex.org/W2788259548","https://openalex.org/W2805075611","https://openalex.org/W2960345526","https://openalex.org/W2962988788","https://openalex.org/W2963139924","https://openalex.org/W2963829083","https://openalex.org/W2972329136","https://openalex.org/W3010359926","https://openalex.org/W3032293597","https://openalex.org/W3087754430","https://openalex.org/W3098452187","https://openalex.org/W3102526419","https://openalex.org/W3102546692","https://openalex.org/W3105017158","https://openalex.org/W3105829195","https://openalex.org/W3173256876","https://openalex.org/W3193606563","https://openalex.org/W3203665543","https://openalex.org/W4252621223","https://openalex.org/W4289261762","https://openalex.org/W4383498146","https://openalex.org/W4400190421","https://openalex.org/W6602020571","https://openalex.org/W6638936255","https://openalex.org/W6639248197","https://openalex.org/W6695450189"],"related_works":["https://openalex.org/W2541615194","https://openalex.org/W2357592863","https://openalex.org/W2002943794","https://openalex.org/W2351984395","https://openalex.org/W2544518984","https://openalex.org/W2371303008","https://openalex.org/W2093925636","https://openalex.org/W78238107","https://openalex.org/W2122830376","https://openalex.org/W868620487"],"abstract_inverted_index":{"Motivated":[0],"by":[1,36,51],"modern":[2],"data":[3],"applications":[4],"such":[5],"as":[6],"cryo-electron":[7],"microscopy,":[8],"the":[9,72,75,81,87],"goal":[10],"of":[11,43,71,74,80,102],"classic":[12,44],"multi-reference":[13],"alignment":[14],"(MRA)":[15],"is":[16],"to":[17,90],"recover":[18,67],"an":[19,68],"unknown":[20,76],"signal":[21,93],"<inline-formula":[22],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[23],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[24],"notation=\"LaTeX\">$f:\\mathbb{R}\\to\\mathbb{R}$</tex-math></inline-formula>":[25],"from":[26],"many":[27],"observations":[28],"that":[29],"have":[30],"been":[31],"randomly":[32],"translated":[33],"and":[34,95],"corrupted":[35,50],"additive":[37],"noise.":[38],"We":[39,58],"consider":[40],"a":[41,52,60,100],"generalization":[42],"MRA":[45],"where":[46],"signals":[47],"are":[48],"also":[49],"random":[53],"scale":[54],"change,":[55],"i.e.":[56],"dilation.":[57],"propose":[59],"novel":[61],"data-driven":[62],"unbiasing":[63],"procedure":[64],"which":[65],"can":[66],"unbiased":[69],"estimator":[70],"bispectrum":[73,89],"signal,":[77],"given":[78],"knowledge":[79],"dilation":[82],"distribution.":[83],"Lastly,":[84],"we":[85],"invert":[86],"recovered":[88],"achieve":[91],"full":[92],"recovery,":[94],"validate":[96],"our":[97],"methodology":[98],"on":[99],"set":[101],"synthetic":[103],"signals.":[104]},"counts_by_year":[],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2025-10-10T00:00:00"}
