{"id":"https://openalex.org/W4402264577","doi":"https://doi.org/10.23919/acc60939.2024.10645015","title":"Closed-Form Information-Theoretic Roughness Measures for Mixture Densities","display_name":"Closed-Form Information-Theoretic Roughness Measures for Mixture Densities","publication_year":2024,"publication_date":"2024-07-10","ids":{"openalex":"https://openalex.org/W4402264577","doi":"https://doi.org/10.23919/acc60939.2024.10645015"},"language":"en","primary_location":{"id":"doi:10.23919/acc60939.2024.10645015","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc60939.2024.10645015","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 American Control Conference (ACC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5055331421","display_name":"Uwe D. Hanebeck","orcid":"https://orcid.org/0000-0001-9870-2331"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Uwe D. Hanebeck","raw_affiliation_strings":["Institute for Anthropomatics and Robotics, Karlsruhe Institute of Technology (KIT),Intelligent Sensor-Actuator-Systems Laboratory (ISAS),Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Anthropomatics and Robotics, Karlsruhe Institute of Technology (KIT),Intelligent Sensor-Actuator-Systems Laboratory (ISAS),Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027687530","display_name":"Daniel Frisch","orcid":"https://orcid.org/0000-0001-6615-1782"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Frisch","raw_affiliation_strings":["Institute for Anthropomatics and Robotics, Karlsruhe Institute of Technology (KIT),Intelligent Sensor-Actuator-Systems Laboratory (ISAS),Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Anthropomatics and Robotics, Karlsruhe Institute of Technology (KIT),Intelligent Sensor-Actuator-Systems Laboratory (ISAS),Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002241347","display_name":"Dominik Prossel","orcid":null},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dominik Prossel","raw_affiliation_strings":["Institute for Anthropomatics and Robotics, Karlsruhe Institute of Technology (KIT),Intelligent Sensor-Actuator-Systems Laboratory (ISAS),Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Anthropomatics and Robotics, Karlsruhe Institute of Technology (KIT),Intelligent Sensor-Actuator-Systems Laboratory (ISAS),Germany","institution_ids":["https://openalex.org/I102335020"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I102335020"],"apc_list":null,"apc_paid":null,"fwci":4.6619,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.95864407,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"620","last_page":"625"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.8871999979019165,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.8871999979019165,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T11890","display_name":"Scientific Measurement and Uncertainty Evaluation","score":0.8503000140190125,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.796999990940094,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/surface-finish","display_name":"Surface finish","score":0.5009653568267822},{"id":"https://openalex.org/keywords/surface-roughness","display_name":"Surface roughness","score":0.49079999327659607},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47613051533699036},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.2562708556652069},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.1052510142326355}],"concepts":[{"id":"https://openalex.org/C71039073","wikidata":"https://www.wikidata.org/wiki/Q3439090","display_name":"Surface finish","level":2,"score":0.5009653568267822},{"id":"https://openalex.org/C107365816","wikidata":"https://www.wikidata.org/wiki/Q114817","display_name":"Surface roughness","level":2,"score":0.49079999327659607},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47613051533699036},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.2562708556652069},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.1052510142326355}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc60939.2024.10645015","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc60939.2024.10645015","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6399999856948853,"id":"https://metadata.un.org/sdg/13","display_name":"Climate action"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1529665736","https://openalex.org/W1967708238","https://openalex.org/W1992140187","https://openalex.org/W2006245542","https://openalex.org/W2018496453","https://openalex.org/W2032558547","https://openalex.org/W2033135151","https://openalex.org/W2034327144","https://openalex.org/W2046033161","https://openalex.org/W2092636373","https://openalex.org/W2109320351","https://openalex.org/W2121203842","https://openalex.org/W2122378596","https://openalex.org/W2125412367","https://openalex.org/W2137317241","https://openalex.org/W2153143343","https://openalex.org/W2339007906","https://openalex.org/W2341391686","https://openalex.org/W2554481921","https://openalex.org/W2625601906","https://openalex.org/W2783340419","https://openalex.org/W2911027268","https://openalex.org/W3018531073","https://openalex.org/W3120108372","https://openalex.org/W3161949062","https://openalex.org/W4236076432","https://openalex.org/W4246954948","https://openalex.org/W4252028749","https://openalex.org/W4293508433","https://openalex.org/W6674851815","https://openalex.org/W6714011782","https://openalex.org/W6729542379","https://openalex.org/W6739745922"],"related_works":["https://openalex.org/W2386922414","https://openalex.org/W4313638943","https://openalex.org/W1966522691","https://openalex.org/W4304014137","https://openalex.org/W3034740403","https://openalex.org/W2032025132","https://openalex.org/W4297916609","https://openalex.org/W2349732462","https://openalex.org/W2783679862","https://openalex.org/W1988381798"],"abstract_inverted_index":{"In":[0,97],"estimation,":[1],"control,":[2],"and":[3,34],"machine":[4],"learning":[5],"under":[6],"uncertainties,":[7],"latent":[8],"variables":[9],"are":[10,140,154],"usually":[11],"described":[12],"by":[13,53,109],"a":[14,23,69,102,122],"probability":[15],"density":[16,138],"function":[17],"(pdf).":[18],"The":[19,137,151],"optimal":[20],"reconstruction":[21],"of":[22,88],"continuous":[24],"pdf":[25,48,76],"from":[26],"given":[27,55],"samples":[28,56],"or":[29,57],"moments":[30],"is":[31,49],"an":[32,42,81],"important":[33,86],"ubiquitous":[35],"task.":[36],"Unfortunately,":[37],"it":[38],"typically":[39],"results":[40,120],"in":[41,80,121,128,142,156],"underdetermined":[43],"optimization":[44],"problem,":[45],"as":[46,68],"the":[47,54,74,78,85,111,114,129,133,148,157],"not":[50],"fully":[51],"constrained":[52],"moments.":[58],"For":[59,84],"regularization,":[60],"we":[61,100],"use":[62],"Fisher":[63],"Information":[64],"(FI)":[65],"that":[66],"acts":[67],"roughness":[70],"measure,":[71],"i.e.,":[72],"selects":[73],"smoothest":[75],"fulfilling":[77],"constraints,":[79],"information-theoretic":[82],"sense.":[83],"class":[87],"mixture":[89,131,144,159],"densities,":[90],"FI":[91,106],"can":[92],"only":[93],"be":[94],"computed":[95],"numerically.":[96],"this":[98],"paper,":[99],"derive":[101],"closed-form":[103,149],"solution":[104],"for":[105,107],"mixtures":[108,117],"transforming":[110],"problem":[112],"to":[113],"space$\\mathcal{R}$of":[115],"root":[116,143],"(RMs).":[118],"This":[119],"tandem":[123],"processing":[124],"scheme":[125],"simultaneously":[126],"working":[127],"original":[130,158],"space$\\mathcal{M}$and":[132],"corresponding":[134],"RM":[135],"space:":[136],"parameters":[139],"optimized":[141],"space":[145],"based":[146],"on":[147],"FI.":[150],"desired":[152],"constraints":[153],"evaluated":[155],"space$\\mathcal{M}$.":[160]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
