An information-geometric approach to a theory of pragmatic structuring

• 成果类型: Article
• 署名作者: Ay, N
• 署名单位: Max Planck Society
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 2002
• 页码: 416-436
• 关键词: events

摘要

Within the framework of information geometry, die interaction among units of a stochastic system is quantified in terms of the Kullback-Leibler divergence of the underlying joint probability distribution from an appropriate exponential family. In the present paper, the main example for such a family is given by the set of all factorizable random fields. Motivated by this example, the locally farthest points from an arbitrary exponential family epsilon are studied. In the corresponding dynamical setting, such points can be generated by the structuring process with respect to epsilon as a repelling set. The main results concern the low complexity of such distributions which can be controlled by the dimension of epsilon.