{"id":"https://openalex.org/W2040416751","doi":"https://doi.org/10.1109/tit.2009.2016067","title":"Methods of Information Geometry (Amari, S. and Nagaoka, H.; 2000) [Book review]","display_name":"Methods of Information Geometry (Amari, S. and Nagaoka, H.; 2000) [Book review]","publication_year":2009,"publication_date":"2009-05-19","ids":{"openalex":"https://openalex.org/W2040416751","doi":"https://doi.org/10.1109/tit.2009.2016067","mag":"2040416751"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2009.2016067","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2009.2016067","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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/A5023990557","display_name":"Francesco Gianfelici","orcid":null},"institutions":[{"id":"https://openalex.org/I2802626578","display_name":"Oxford University Press (United Kingdom)","ror":"https://ror.org/0336mm561","country_code":"GB","type":"company","lineage":["https://openalex.org/I2802626578","https://openalex.org/I40120149"]},{"id":"https://openalex.org/I55545905","display_name":"American Mathematical Society","ror":"https://ror.org/05vy1kj95","country_code":"US","type":"other","lineage":["https://openalex.org/I55545905"]},{"id":"https://openalex.org/I122534668","display_name":"Marche Polytechnic University","ror":"https://ror.org/00x69rs40","country_code":"IT","type":"education","lineage":["https://openalex.org/I122534668"]}],"countries":["GB","IT","US"],"is_corresponding":true,"raw_author_name":"Francesco Gianfelici","raw_affiliation_strings":["American Mathematical Society and Oxford University Press","Dipartimento di Ingegneria Biomedica, Elettronica e Telecomunicazioni, Universit\u00e0 PoIitecnica delle Marche, Ancona, Italy#TAB#"],"affiliations":[{"raw_affiliation_string":"American Mathematical Society and Oxford University Press","institution_ids":["https://openalex.org/I55545905","https://openalex.org/I2802626578"]},{"raw_affiliation_string":"Dipartimento di Ingegneria Biomedica, Elettronica e Telecomunicazioni, Universit\u00e0 PoIitecnica delle Marche, Ancona, Italy#TAB#","institution_ids":["https://openalex.org/I122534668"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001596976","display_name":"Viviana Battistelli","orcid":null},"institutions":[{"id":"https://openalex.org/I122534668","display_name":"Marche Polytechnic University","ror":"https://ror.org/00x69rs40","country_code":"IT","type":"education","lineage":["https://openalex.org/I122534668"]},{"id":"https://openalex.org/I55545905","display_name":"American Mathematical Society","ror":"https://ror.org/05vy1kj95","country_code":"US","type":"other","lineage":["https://openalex.org/I55545905"]},{"id":"https://openalex.org/I2802626578","display_name":"Oxford University Press (United Kingdom)","ror":"https://ror.org/0336mm561","country_code":"GB","type":"company","lineage":["https://openalex.org/I2802626578","https://openalex.org/I40120149"]}],"countries":["GB","IT","US"],"is_corresponding":false,"raw_author_name":"Viviana Battistelli","raw_affiliation_strings":["American Mathematical Society and Oxford University Press","Dipartimento di Ingegneria Biomedica, Elettronica e Telecomunicazioni, Universit\u00e0 PoIitecnica delle Marche, Ancona, Italy#TAB#"],"affiliations":[{"raw_affiliation_string":"American Mathematical Society and Oxford University Press","institution_ids":["https://openalex.org/I55545905","https://openalex.org/I2802626578"]},{"raw_affiliation_string":"Dipartimento di Ingegneria Biomedica, Elettronica e Telecomunicazioni, Universit\u00e0 PoIitecnica delle Marche, Ancona, Italy#TAB#","institution_ids":["https://openalex.org/I122534668"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023990557"],"corresponding_institution_ids":["https://openalex.org/I122534668","https://openalex.org/I2802626578","https://openalex.org/I55545905"],"apc_list":null,"apc_paid":null,"fwci":0.4362,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.71840897,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"55","issue":"6","first_page":"2905","last_page":"2906"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9706000089645386,"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"}},"topics":[{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9706000089645386,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9205999970436096,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/computer-science","display_name":"Computer science","score":0.45169517397880554},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3553970456123352},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31567686796188354}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45169517397880554},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3553970456123352},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31567686796188354}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2009.2016067","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2009.2016067","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1561078360","https://openalex.org/W2061292569","https://openalex.org/W2097230740","https://openalex.org/W2116148133","https://openalex.org/W2117035673","https://openalex.org/W2135479785","https://openalex.org/W2137723961","https://openalex.org/W2153397702","https://openalex.org/W2161001955","https://openalex.org/W4252713891"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644"],"abstract_inverted_index":{"This":[0,82],"book":[1,27],"presents":[2,28],"the":[3,6,8,13,17,26,33,44,52],"state":[4],"of":[5,16,19,25,36,46,55],"art,":[7],"current":[9],"best":[10],"practices":[11],"and":[12,51,78,88,96],"innovative":[14],"techniques":[15],"methods":[18,95],"information":[20,37,70],"geometry.":[21,81],"The":[22,59],"first":[23],"half":[24,61],"a":[29,84],"comprehensive":[30],"introduction":[31],"to":[32,93],"mathematical":[34],"foundation":[35],"geometry,":[38,43],"including":[39],"preliminaries":[40],"from":[41,91],"differential":[42,80],"geometry":[45],"manifolds":[47],"or":[48],"probability":[49],"distributions,":[50],"general":[53],"theory":[54],"dual":[56],"affine":[57,79],"connections.":[58],"second":[60],"describes":[62],"many":[63],"applications,":[64],"such":[65],"as":[66],"statistics,":[67],"linear":[68],"systems,":[69],"theory,":[71],"quantum":[72],"mechanics,":[73],"convex":[74],"analysis,":[75],"neural":[76],"networks,":[77],"is":[83],"well-written":[85],"book,":[86],"original":[87],"highly":[89],"relevant":[90],"which":[92],"learn":[94],"results.":[97]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}