{"id":"https://openalex.org/W4415367758","doi":"https://doi.org/10.1109/isit63088.2025.11195486","title":"A Generalized Cram\u00e9R-Rao Bound Using Information Geometry","display_name":"A Generalized Cram\u00e9R-Rao Bound Using Information Geometry","publication_year":2025,"publication_date":"2025-06-22","ids":{"openalex":"https://openalex.org/W4415367758","doi":"https://doi.org/10.1109/isit63088.2025.11195486"},"language":null,"primary_location":{"id":"doi:10.1109/isit63088.2025.11195486","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit63088.2025.11195486","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-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/A5120072434","display_name":"Satyajit Dhadumia","orcid":null},"institutions":[{"id":"https://openalex.org/I4210113248","display_name":"Indian Institute of Technology Palakkad","ror":"https://ror.org/0264cg909","country_code":"IN","type":"facility","lineage":["https://openalex.org/I4210113248"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Satyajit Dhadumia","raw_affiliation_strings":["Indian Institute of Technology,Department of Mathematics,Palakkad,Kerala,India"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology,Department of Mathematics,Palakkad,Kerala,India","institution_ids":["https://openalex.org/I4210113248"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101878749","display_name":"M. Ashok Kumar","orcid":null},"institutions":[{"id":"https://openalex.org/I4210113248","display_name":"Indian Institute of Technology Palakkad","ror":"https://ror.org/0264cg909","country_code":"IN","type":"facility","lineage":["https://openalex.org/I4210113248"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"M. Ashok Kumar","raw_affiliation_strings":["Indian Institute of Technology,Department of Mathematics,Palakkad,Kerala,India"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology,Department of Mathematics,Palakkad,Kerala,India","institution_ids":["https://openalex.org/I4210113248"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5120072434"],"corresponding_institution_ids":["https://openalex.org/I4210113248"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.34335855,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.8634999990463257,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.8634999990463257,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/information-geometry","display_name":"Information geometry","score":0.8522999882698059},{"id":"https://openalex.org/keywords/fisher-information-metric","display_name":"Fisher information metric","score":0.7490000128746033},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6603999733924866},{"id":"https://openalex.org/keywords/statistical-manifold","display_name":"Statistical manifold","score":0.6291999816894531},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6010000109672546},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.5771999955177307},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.534600019454956},{"id":"https://openalex.org/keywords/fundamental-theorem-of-riemannian-geometry","display_name":"Fundamental theorem of Riemannian geometry","score":0.5152999758720398},{"id":"https://openalex.org/keywords/riemannian-geometry","display_name":"Riemannian geometry","score":0.5112000107765198}],"concepts":[{"id":"https://openalex.org/C109546454","wikidata":"https://www.wikidata.org/wiki/Q3798604","display_name":"Information geometry","level":4,"score":0.8522999882698059},{"id":"https://openalex.org/C127104897","wikidata":"https://www.wikidata.org/wiki/Q5454858","display_name":"Fisher information metric","level":4,"score":0.7490000128746033},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7293999791145325},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6603999733924866},{"id":"https://openalex.org/C169391604","wikidata":"https://www.wikidata.org/wiki/Q7604402","display_name":"Statistical manifold","level":5,"score":0.6291999816894531},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6010000109672546},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.5771999955177307},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.534600019454956},{"id":"https://openalex.org/C4306028","wikidata":"https://www.wikidata.org/wiki/Q2185349","display_name":"Fundamental theorem of Riemannian geometry","level":4,"score":0.5152999758720398},{"id":"https://openalex.org/C181104567","wikidata":"https://www.wikidata.org/wiki/Q761383","display_name":"Riemannian geometry","level":2,"score":0.5112000107765198},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.5063999891281128},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.4796999990940094},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4318999946117401},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.39079999923706055},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.38350000977516174},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.3792000114917755},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.367900013923645},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.36649999022483826},{"id":"https://openalex.org/C41261874","wikidata":"https://www.wikidata.org/wiki/Q3855712","display_name":"Intrinsic metric","level":4,"score":0.3181000053882599},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.31610000133514404},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3100000023841858},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3059000074863434},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2937999963760376},{"id":"https://openalex.org/C111219935","wikidata":"https://www.wikidata.org/wiki/Q3333764","display_name":"Fubini\u2013Study metric","level":5,"score":0.2897999882698059},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.28040000796318054},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.27559998631477356},{"id":"https://openalex.org/C129049296","wikidata":"https://www.wikidata.org/wiki/Q548675","display_name":"Levi-Civita connection","level":5,"score":0.27090001106262207},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.2689000070095062},{"id":"https://openalex.org/C122203268","wikidata":"https://www.wikidata.org/wiki/Q5862903","display_name":"Probability theory","level":2,"score":0.26030001044273376},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.2590000033378601}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit63088.2025.11195486","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit63088.2025.11195486","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7241465502","display_name":null,"funder_award_id":"MTR/2022/000922","funder_id":"https://openalex.org/F4320334771","funder_display_name":"Science and Engineering Research Board"}],"funders":[{"id":"https://openalex.org/F4320334771","display_name":"Science and Engineering Research Board","ror":"https://ror.org/03ffdsr55"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1586524688","https://openalex.org/W2084840427","https://openalex.org/W2092459737","https://openalex.org/W2117890631","https://openalex.org/W2129070761","https://openalex.org/W2485135680","https://openalex.org/W2525109755","https://openalex.org/W2898502004","https://openalex.org/W2963272769","https://openalex.org/W3021040397","https://openalex.org/W3036587419","https://openalex.org/W3196310444","https://openalex.org/W4210855551","https://openalex.org/W4213201159","https://openalex.org/W4226293514","https://openalex.org/W4230394162","https://openalex.org/W4233010135","https://openalex.org/W4293404332"],"related_works":[],"abstract_inverted_index":{"In":[0,67],"information":[1],"geometry,":[2],"statistical":[3],"models":[4],"are":[5,96],"considered":[6],"as":[7],"differentiable":[8],"manifolds,":[9],"where":[10],"each":[11],"probability":[12],"distribution":[13],"represents":[14],"a":[15,29,72,88],"unique":[16],"point":[17],"on":[18,64],"the":[19,36,43,51,81],"manifold.":[20],"A":[21],"Riemannian":[22,73],"metric":[23,39,74],"can":[24],"be":[25],"systematically":[26],"obtained":[27,41,75],"from":[28,42],"divergence":[30,84],"function":[31],"using":[32,92],"Eguchi's":[33,78],"theory":[34,79],"(1992);":[35],"well-known":[37],"Fisher-Rao":[38],"is":[40,62],"Kullback-Leibler":[44],"(KL)":[45],"divergence.":[46],"The":[47],"geometric":[48],"derivation":[49],"of":[50],"classical":[52],"Cram\u00e9r-Rao":[53,90],"Lower":[54],"Bound":[55],"(CRLB)":[56],"by":[57,76],"Amari":[58],"and":[59,86],"Nagaoka":[60],"(2000)":[61],"based":[63],"this":[65,68,100],"metric.":[66],"paper,":[69],"we":[70],"study":[71],"applying":[77],"to":[80],"Basu-Harris-Hjort-Jones":[82],"(BHHJ)":[83],"(1998)":[85],"derive":[87],"generalized":[89],"bound":[91,101],"Amari-Nagaoka's":[93],"approach.":[94],"There":[95],"potential":[97],"applications":[98],"for":[99],"in":[102],"robust":[103],"estimation.":[104]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-21T00:00:00"}
