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Information geometry and its applications. On the occasion of Shun-ichi Amari’s 80th birthday, IGAIA IV, Liblice, Czech Republic, June 12–17, 2016. Proceedings of the 4th international conference. (English) Zbl 1410.62006

Springer Proceedings in Mathematics & Statistics 252. Cham: Springer (ISBN 978-3-319-97797-3/hbk; 978-3-319-97798-0/ebook). x, 456 p. (2018).

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Publisher’s description: The book gathers contributions from the fourth conference on Information Geometry and its Applications, which was held on June 12–17, 2016, at Liblice Castle, Czech Republic on the occasion of Shun-ichi Amari’s 80th birthday and was organized by the Czech Academy of Sciences’ Institute of Information Theory and Automation.
The conference received valuable financial support from the Max Planck Institute for Mathematics in the Sciences (Information Theory of Cognitive Systems Group), Czech Academy of Sciences’ Institute of Information Theory and Automation, and Università degli Studi di Roma Tor Vergata.
The aim of the conference was to highlight recent advances in the field of information geometry and to identify new research directions. To this end, the event brought together leading experts in the field who, in invited talks and poster sessions, discussed both theoretical work and achievements in the many fields of application in which information geometry plays an essential role.
The articles of this volume will be reviewed individually.
Indexed articles:
Amari, Shun-ichi; Tsuchiya, Naotsugu; Oizumi, Masafumi, Geometry of information integration, 3-17 [Zbl 1414.62023]
Jost, Jürgen; Bertschinger, Nils; Olbrich, Eckehard; Wolpert, David, Information geometry and game theory, 19-46 [Zbl 1414.62029]
Watanabe, Sumio, Higher order equivalence of Bayes cross validation and WAIC, 47-73 [Zbl 1414.62036]
Montúfar, Guido, Restricted Boltzmann machines: introduction and review, 75-115 [Zbl 1414.62257]
Pistone, Giovanni, Information geometry of the Gaussian space, 119-155 [Zbl 1414.62034]
Schwachhöfer, Lorenz; Ay, Nihat; Jost, Jürgen; Vân Lê, Hông, Congruent families and invariant tensors, 157-187 [Zbl 1414.62035]
Newton, Nigel J., Nonlinear filtering and information geometry: a Hilbert manifold approach, 189-208 [Zbl 1414.62032]
Minh, Hà Quang, Infinite-dimensional log-determinant divergences. III: Log-Euclidean and log-Hilbert-Schmidt divergences, 209-243 [Zbl 1414.58006]
Harremoës, Peter, Entropy on spin factors, 247-278 [Zbl 1415.94366]
Eguchi, Shinto; Komori, Osamu; Ohara, Atsumi, Information geometry associated with generalized means, 279-295 [Zbl 1414.62025]
Zhang, Jun; Fei, Teng, Information geometry with (para-)Kähler structures, 297-321 [Zbl 1414.62037]
Ohara, Atsumi; Ishi, Hideyuki, Doubly autoparallel structure on the probability simplex, 323-334 [Zbl 1414.62033]
Fujiwara, Akio, Complementing Chentsov’s characterization, 335-347 [Zbl 1414.62026]
Rylov, Alexander, Constant curvature connections on statistical models, 349-361 [Zbl 1414.62055]
Belavkin, Roman V., Relation between the Kantorovich-Wasserstein metric and the Kullback-Leibler divergence, 363-373 [Zbl 1414.62024]
Luo, Shunlong; Sun, Yuan, Some inequalities for Wigner-Yanase skew information, 377-398 [Zbl 1414.62031]
Girolami, Davide, Information geometry of quantum resources, 399-410 [Zbl 1414.62028]
Cianciaruso, Marco; Frérot, Irénée; Tufarelli, Tommaso; Adesso, Gerardo, Characterising two-sided quantum correlations beyond entanglement via metric-adjusted \(f\)-correlations, 411-430 [Zbl 1414.81055]
Andai, Attila, The effects of random qubit-qubit quantum channels to entropy gain, fidelity and trace distance, 431-443 [Zbl 1414.81049]
Lovas, Attila, Robertson-type uncertainty principles and generalized symmetric and antisymmetric covariances, 445-456 [Zbl 1414.62030]

MSC:

62-06 Proceedings, conferences, collections, etc. pertaining to statistics
94-06 Proceedings, conferences, collections, etc. pertaining to information and communication theory
00B30 Festschriften
00B25 Proceedings of conferences of miscellaneous specific interest

Biographic References:

Amari, Shun-ichi
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