{"id":"https://openalex.org/W4388514457","doi":"https://doi.org/10.1109/tsp.2026.3697636","title":"Maximum a Posteriori Direction-of-Arrival Estimation via Mixed-Integer Semidefinite Programming","display_name":"Maximum a Posteriori Direction-of-Arrival Estimation via Mixed-Integer Semidefinite Programming","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W4388514457","doi":"https://doi.org/10.1109/tsp.2026.3697636"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2026.3697636","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2026.3697636","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":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2311.03501","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100430606","display_name":"Tianyi Liu","orcid":"https://orcid.org/0000-0002-5573-5093"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tianyi Liu","raw_affiliation_strings":["Communication Systems Group, Technical University of Darmstadt, Darmstadt, Germany"],"raw_orcid":"https://orcid.org/0000-0001-8338-1651","affiliations":[{"raw_affiliation_string":"Communication Systems Group, Technical University of Darmstadt, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051735778","display_name":"Frederic Matter","orcid":"https://orcid.org/0000-0002-0499-1820"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Frederic Matter","raw_affiliation_strings":["Research Group Optimization, Technical University of Darmstadt, Darmstadt, Germany"],"raw_orcid":"https://orcid.org/0000-0002-0499-1820","affiliations":[{"raw_affiliation_string":"Research Group Optimization, Technical University of Darmstadt, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056189508","display_name":"Alexander Sorg","orcid":null},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Alexander Sorg","raw_affiliation_strings":["Communication Systems Group, Technical University of Darmstadt, Darmstadt, Germany"],"raw_orcid":"https://orcid.org/0009-0007-6196-7441","affiliations":[{"raw_affiliation_string":"Communication Systems Group, Technical University of Darmstadt, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033982876","display_name":"Marc E. Pfetsch","orcid":"https://orcid.org/0000-0002-0947-7193"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Marc E. Pfetsch","raw_affiliation_strings":["Research Group Optimization, Technical University of Darmstadt, Darmstadt, Germany"],"raw_orcid":"https://orcid.org/0000-0002-0947-7193","affiliations":[{"raw_affiliation_string":"Research Group Optimization, Technical University of Darmstadt, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004533757","display_name":"Martin Haardt","orcid":"https://orcid.org/0000-0001-7810-975X"},"institutions":[{"id":"https://openalex.org/I119449181","display_name":"Technische Universit\u00e4t Ilmenau","ror":"https://ror.org/01weqhp73","country_code":"DE","type":"education","lineage":["https://openalex.org/I119449181"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Haardt","raw_affiliation_strings":["Communications Research Laboratory, Ilmenau University of Technology, Ilmenau, Germany"],"raw_orcid":"https://orcid.org/0000-0001-7810-975X","affiliations":[{"raw_affiliation_string":"Communications Research Laboratory, Ilmenau University of Technology, Ilmenau, Germany","institution_ids":["https://openalex.org/I119449181"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001481378","display_name":"Marius Pesavento","orcid":"https://orcid.org/0000-0003-3395-2588"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Marius Pesavento","raw_affiliation_strings":["Communication Systems Group, Technical University of Darmstadt, Darmstadt, Germany"],"raw_orcid":"https://orcid.org/0000-0003-3395-2588","affiliations":[{"raw_affiliation_string":"Communication Systems Group, Technical University of Darmstadt, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00250334,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"74","issue":null,"first_page":"2503","last_page":"2518"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9952999949455261,"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/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9952999949455261,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9904999732971191,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.7164207100868225},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.610630989074707},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5897246599197388},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5249521732330322},{"id":"https://openalex.org/keywords/maximum-a-posteriori-estimation","display_name":"Maximum a posteriori estimation","score":0.5045005083084106},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46800389885902405},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.45711612701416016},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.45542779564857483},{"id":"https://openalex.org/keywords/sparse-approximation","display_name":"Sparse approximation","score":0.44418662786483765},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.43109366297721863},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38754433393478394},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.12890619039535522}],"concepts":[{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.7164207100868225},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.610630989074707},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5897246599197388},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5249521732330322},{"id":"https://openalex.org/C9810830","wikidata":"https://www.wikidata.org/wiki/Q635384","display_name":"Maximum a posteriori estimation","level":3,"score":0.5045005083084106},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46800389885902405},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.45711612701416016},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.45542779564857483},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.44418662786483765},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.43109366297721863},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38754433393478394},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.12890619039535522},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/tsp.2026.3697636","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2026.3697636","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"},{"id":"pmh:oai:tubiblio.ulb.tu-darmstadt.de:150420","is_oa":false,"landing_page_url":"http://tubiblio.ulb.tu-darmstadt.de/view/person/Liu=3ATianyi=3A=3A.html>","pdf_url":null,"source":{"id":"https://openalex.org/S4377196390","display_name":"TUbilio (Technical University of Darmstadt)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I31512782","host_organization_name":"Technische Universit\u00e4t Darmstadt","host_organization_lineage":["https://openalex.org/I31512782"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Report"},{"id":"pmh:oai:arXiv.org:2311.03501","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2311.03501","pdf_url":"https://arxiv.org/pdf/2311.03501","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,"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":"","raw_type":"text"},{"id":"pmh:oai:arXiv.org:2311.03501","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2311.03501","pdf_url":"https://arxiv.org/pdf/2311.03501","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,"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":"pmh:oai:tubiblio.ulb.tu-darmstadt.de:141203","is_oa":false,"landing_page_url":"http://tubiblio.ulb.tu-darmstadt.de/141203/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196390","display_name":"TUbilio (Technical University of Darmstadt)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I31512782","host_organization_name":"Technische Universit\u00e4t Darmstadt","host_organization_lineage":["https://openalex.org/I31512782"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Report"},{"id":"doi:10.48550/arxiv.2311.03501","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2311.03501","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,"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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2311.03501","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2311.03501","pdf_url":"https://arxiv.org/pdf/2311.03501","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,"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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4496143295","display_name":null,"funder_award_id":"DFG-SPP 1798","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8294425415","display_name":null,"funder_award_id":"PE 2080/2-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G858061833","display_name":null,"funder_award_id":"SPP 1798","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4388514457.pdf","grobid_xml":"https://content.openalex.org/works/W4388514457.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1983756092","https://openalex.org/W4287880334","https://openalex.org/W2381295697","https://openalex.org/W2186864281","https://openalex.org/W2385886188","https://openalex.org/W4366700029","https://openalex.org/W4255427455","https://openalex.org/W4285230481","https://openalex.org/W2378309693","https://openalex.org/W4385769873"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,6,18,60,73,118,123],"joint":[3,45],"sparse":[4,46,54],"maximum":[5,132],"posteriori":[7],"(MAP)":[8],"estimator":[9],"for":[10,44,79],"DOA":[11,103],"estimation":[12,104,120],"from":[13],"multiple":[14],"snapshots,":[15],"reformulated":[16],"as":[17,49],"mixed-integer":[19],"semidefinite":[20],"program":[21],"(MISDP).":[22],"This":[23],"enables":[24],"efficient":[25],"computation":[26],"of":[27,97],"globally":[28],"optimal":[29],"solutions":[30],"using":[31],"off-the-shelf":[32],"MISDP":[33,81],"solvers":[34],"based":[35,83],"on":[36,84],"the":[37,50,80,90,108,113,130],"branch-and-bound":[38],"method.":[39],"Unlike":[40],"other":[41],"nonconvex":[42],"approaches":[43],"recovery,":[47],"such":[48],"greedy":[51],"methods":[52],"and":[53,95],"Bayesian":[55],"learning":[56],"techniques,":[57],"it":[58],"provides":[59],"solution":[61,77],"with":[62,67,112],"an":[63],"optimality":[64],"assessment":[65],"even":[66],"early":[68],"termination.":[69],"Additionally,":[70],"we":[71],"present":[72],"more":[74],"scalable":[75],"approximate":[76],"approach":[78],"problem":[82],"randomized":[85,114],"rounding.":[86],"Numerical":[87],"simulations":[88],"demonstrate":[89],"improved":[91],"threshold":[92],"behavior,":[93],"resolution,":[94],"robustness":[96],"our":[98],"proposed":[99,109],"method":[100,110],"against":[101],"popular":[102],"methods.":[105],"In":[106],"particular,":[107],"applied":[111],"rounding":[115],"algorithm":[116],"exhibits":[117],"superior":[119],"performance":[121],"at":[122],"significantly":[124],"reduced":[125],"running":[126],"time,":[127],"compared":[128],"to":[129],"deterministic":[131],"likelihood":[133],"(DML)":[134],"estimator.":[135]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2023-11-09T00:00:00"}