TITLE: On the Entropy Rate of Pattern Processes
SPEAKER: George Gemelos (Stanford University)
DATE: 2:00 - 3:00 P.M., Thursday April 28, 2005
LOCATION: Tioga, 3U (PA)
ABSTRACT:
We study the entropy rate of pattern sequences of stochastic processes, and its
relationship to the entropy rate of the original process. We give a complete
characterization of this relationship for i.i.d. processes over arbitrary
alphabets, stationary ergodic processes over discrete alphabets, and a broad
family of stationary ergodic processes over uncountable alphabets. For cases
where the entropy rate of the pattern process is infinite, we characterize the
possible growth rate of the block entropy.
|
printable version
