An information-geometric approach to a theory of pragmatic structuring

Annals of Probability

Volumn 30, Issue 1, 2002, Pages 416-436

  Ay, Nihat ^a  

^a MAX PLANCK INSTITUTE FOR MATHEMATICS IN THE SCIENCES   (Germany)

Author keywords

Exponential family; Infomax principle; Information geometry; Kullback Leibler divergence; Mutual information; Stochastic interaction

Indexed keywords

EID: 0035995574     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1020107773     Document Type: Article

References (31)

1. Differential-geometric methods in statistics
2. Information geometry
3. Information geometry on hierarchy of probability distributions
4. Methods of lnformation geometry
5. An introduction to differentiable manifolds and riemannian geometry
6. On topological properties of f-divergence
7. I-divergence geometry of probability distributions and minimization problems
8. An information-theoretic approach to neural computing
9. Gradient systems in view of information geometry
10. The method of maximum entropy
11. Information theory and statistical mechanics
12. On information and sufficiency
13. Self-organization ina perceptual network
14. Detecting higher-order interactions among the spiking events in a group of neurons
15. Differential geometry of smooth families of probability distributions
16. Completely integrable gradient systems on the manifolds of gaussian and multinomial distributions
17. Information and the accuracy attainable in the estimation of statistical parameters
18. A mathematical theory of communication
19. On the uniform convergence of relative frequencies of events to their probabilities