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eess.SY2017★ 13 cited
A Generalized Framework for Kullback-Leibler Markov Aggregation
Rana Ali Amjad, Clemens Blöchl, Bernhard C. Geiger
This paper proposes an information-theoretic cost function for aggregating a Markov chain via a (possibly stochastic) mapping. The cost function is motivated by two objectives: 1)…
eess.SY2013★ 18 cited
Optimal Kullback-Leibler Aggregation via Information Bottleneck
Bernhard C. Geiger, Tatjana Petrov, Gernot Kubin +1
In this paper, we present a method for reducing a regular, discrete-time Markov chain (DTMC) to another DTMC with a given, typically much smaller number of states. The cost of redu…