Dualistic Dynamical Systems in the Framework of Information Geometry

@inproceedings{Fujiwara1993DualisticDS,
  title={Dualistic Dynamical Systems in the Framework of Information Geometry},
  author={Akio Fujiwara},
  year={1993}
}
Dualistic properties of a gradient ow on a manifold M associated with a dualistic structure (g;r;r ) is studied from an information geometrical viewpoint. Some useful applications are also investigated. 

From This Paper

Topics from this paper.
2 Citations
24 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-2 of 2 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 24 references

A new nonlinear dynamical system that leads to eigenvalues,

  • Y. Nakamura
  • Jap. J. Industrial and Appl. Math
  • 1992
Highly Influential
5 Excerpts

erential-Geometrical Methods in Statistics, Lec

  • S. Amari, Di
  • Notes in Statist. 28 (Springer, Berlin,
  • 1985
Highly Influential
5 Excerpts

Geometrical theory of higher-order asymptotics of test, interval estimator and conditional inference,

  • M. Kumon, S. Amari
  • in Proc. R. Soc. London
  • 1983
Highly Influential
4 Excerpts

Di erential geometry of smooth families of probability distributions," METR 82-7

  • H. Nagaoka, S. Amari
  • 1982
Highly Influential
4 Excerpts

The theory of Evolution and Dynamical Systems

  • J. Hofbauer, K. Sigmund
  • 1988
Highly Influential
3 Excerpts

Completely integrable gradient systems on the manifolds of Gaussian and multinomial distributions," Jap

  • Y. Nakamura
  • J. Industrial and Appl. Math
  • 1993
3 Excerpts

Di erential geometry and the design of gradient algorithms,

  • R. W. Brockett
  • \Di erential geometry," Amer. Math. Soc
  • 1993
2 Excerpts

Asymptotic theory of sequential estimation : Di erential geometrical approach,

  • I. Okamoto, S. Amari, K. Takeuchi
  • Ann. Stst
  • 1991
1 Excerpt

Dual connections and a ne geometry,

  • T. Kurose
  • Math. Z
  • 1990
1 Excerpt

Similar Papers

Loading similar papers…