國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Geometric structures of information

Nielsen, Frank.

Geometric structures of information

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Geometric structures of informationedited by Frank Nielsen.
其他作者:	Nielsen, Frank.
出版者:	Cham :Springer International Publishing :2019.
面頁冊數:	viii, 392 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Geometrical models in statistics.
電子資源:	https://doi.org/10.1007/978-3-030-02520-5
ISBN:	9783030025205$q(electronic bk.)

Geometric structures of information
Geometric structures of information[electronic resource] /edited by Frank Nielsen. - Cham :Springer International Publishing :2019. - viii, 392 p. :ill., digital ;24 cm. - Signals and communication technology,1860-4862. - Signals and communication technology..

Rho-Tau Embedding of Statistical Models -- A class of non-parametric deformed exponential statistical models -- Statistical Manifolds Admitting Torsion and Partially Flat Spaces -- Conformal attening on the probability simplex and its applications to Voronoi partitions and centroids Atsumi Ohara -- Monte Carlo Information-Geometric Structures -- Information geometry in portfolio theory -- Generalising Frailty Assumptions in Survival Analysis: a Geometric Approach -- Some Universal Insights on Divergences for Statistics, Machine Learning and Articial Intelligence -- Information-Theoretic Matrix Inequalities and Diusion Processes on Unimodular Lie Groups.

This book focuses on information geometry manifolds of structured data/information and their advanced applications featuring new and fruitful interactions between several branches of science: information science, mathematics and physics. It addresses interrelations between different mathematical domains like shape spaces, probability/optimization & algorithms on manifolds, relational and discrete metric spaces, computational and Hessian information geometry, algebraic/infinite dimensional/Banach information manifolds, divergence geometry, tensor-valued morphology, optimal transport theory, manifold & topology learning, and applications like geometries of audio-processing, inverse problems and signal processing.The book collects the most important contributions to the conference GSI'2017 - Geometric Science of Information.

ISBN: 9783030025205$q(electronic bk.)

Standard No.: 10.1007/978-3-030-02520-5doiSubjects--Topical Terms:

791341
Geometrical models in statistics.

LC Class. No.: QA276.23 / .G466 2019

Dewey Class. No.: 519.5

Geometric structures of information
LDR:02505nmm a2200337 a 4500 001 552423
003 DE-He213
005 20190613104952.0
006 m d
007 cr nn 008maaau
008 191106s2019 gw s 0 eng d
020 $a 9783030025205$q(electronic bk.)
020 $a 9783030025199$q(paper)
024 7 $a 10.1007/978-3-030-02520-5 $2 doi
035 $a 978-3-030-02520-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA276.23 $b .G466 2019
072 7 $a TJK $2 bicssc
072 7 $a TEC041000 $2 bisacsh
072 7 $a TJK $2 thema
082 0 4 $a 519.5 $2 23
090 $a QA276.23 $b .G345 2019
245 0 0 $a Geometric structures of information $h [electronic resource] / $c edited by Frank Nielsen.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a viii, 392 p. : $b ill., digital ; $c 24 cm.
490 1 $a Signals and communication technology, $x 1860-4862
505 0 $a Rho-Tau Embedding of Statistical Models -- A class of non-parametric deformed exponential statistical models -- Statistical Manifolds Admitting Torsion and Partially Flat Spaces -- Conformal attening on the probability simplex and its applications to Voronoi partitions and centroids Atsumi Ohara -- Monte Carlo Information-Geometric Structures -- Information geometry in portfolio theory -- Generalising Frailty Assumptions in Survival Analysis: a Geometric Approach -- Some Universal Insights on Divergences for Statistics, Machine Learning and Articial Intelligence -- Information-Theoretic Matrix Inequalities and Diusion Processes on Unimodular Lie Groups.
520 $a This book focuses on information geometry manifolds of structured data/information and their advanced applications featuring new and fruitful interactions between several branches of science: information science, mathematics and physics. It addresses interrelations between different mathematical domains like shape spaces, probability/optimization & algorithms on manifolds, relational and discrete metric spaces, computational and Hessian information geometry, algebraic/infinite dimensional/Banach information manifolds, divergence geometry, tensor-valued morphology, optimal transport theory, manifold & topology learning, and applications like geometries of audio-processing, inverse problems and signal processing.The book collects the most important contributions to the conference GSI'2017 - Geometric Science of Information.
650 0 $a Geometrical models in statistics. $3 791341
650 0 $a Information theory in mathematics. $3 741034
650 0 $a Geometry, Differential. $3 182610
650 0 $a Data structures (Computer science) $3 183917
650 1 4 $a Communications Engineering, Networks. $3 273745
650 2 4 $a Coding and Information Theory. $3 273763
650 2 4 $a Global Analysis and Analysis on Manifolds. $3 273786
700 1 $a Nielsen, Frank. $3 339987
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Signals and communication technology. $3 557664
856 4 0 $u https://doi.org/10.1007/978-3-030-02520-5
950 $a Engineering (Springer-11647)