On Information Geometrical Structures
Information geometry is a modern differential geometric approach to statistics, in particular theory of information. The main motivation for this expository survey article is the lack of compact material that mainly address to mathematical audience because of the interdisciplinary content. Informa...
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| Format: | Article |
| Language: | English |
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Hitit University
2018-12-01
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| Series: | Hittite Journal of Science and Engineering |
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| Online Access: | https://dergipark.org.tr/tr/download/article-file/1506609 |
| _version_ | 1797662649470681088 |
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| author | Fatma Muazzez Simsir |
| author_facet | Fatma Muazzez Simsir |
| author_sort | Fatma Muazzez Simsir |
| collection | DOAJ |
| description | Information geometry is a modern differential geometric approach to statistics, in particular theory of information. The main motivation for this expository survey article is the lack of compact material that mainly address to mathematical audience because of the interdisciplinary content. Information geometry simply described as applying the techniques of differential geometry to statistical models, represented as manifolds of probability distributions. This can be done either done by putting the concept of divergences on the center or the Fisher metric. This paper is motivated from the latter approach. |
| first_indexed | 2024-03-11T19:03:23Z |
| format | Article |
| id | doaj.art-7173bfaaae9d4288beca747fbddb3d78 |
| institution | Directory Open Access Journal |
| issn | 2148-4171 |
| language | English |
| last_indexed | 2024-03-11T19:03:23Z |
| publishDate | 2018-12-01 |
| publisher | Hitit University |
| record_format | Article |
| series | Hittite Journal of Science and Engineering |
| spelling | doaj.art-7173bfaaae9d4288beca747fbddb3d782023-10-10T11:17:28ZengHitit UniversityHittite Journal of Science and Engineering2148-41712018-12-015424925710.17350/HJSE19030000089150On Information Geometrical StructuresFatma Muazzez Simsir0Hitit University, Department of Mathematics, Çorum, TURKEYInformation geometry is a modern differential geometric approach to statistics, in particular theory of information. The main motivation for this expository survey article is the lack of compact material that mainly address to mathematical audience because of the interdisciplinary content. Information geometry simply described as applying the techniques of differential geometry to statistical models, represented as manifolds of probability distributions. This can be done either done by putting the concept of divergences on the center or the Fisher metric. This paper is motivated from the latter approach.https://dergipark.org.tr/tr/download/article-file/1506609information geometrydual affine connectionsstatistical distributions |
| spellingShingle | Fatma Muazzez Simsir On Information Geometrical Structures Hittite Journal of Science and Engineering information geometry dual affine connections statistical distributions |
| title | On Information Geometrical Structures |
| title_full | On Information Geometrical Structures |
| title_fullStr | On Information Geometrical Structures |
| title_full_unstemmed | On Information Geometrical Structures |
| title_short | On Information Geometrical Structures |
| title_sort | on information geometrical structures |
| topic | information geometry dual affine connections statistical distributions |
| url | https://dergipark.org.tr/tr/download/article-file/1506609 |
| work_keys_str_mv | AT fatmamuazzezsimsir oninformationgeometricalstructures |