on the infinite order markov processes
نویسندگان
چکیده
the notion of infinite order markov process is introduced and the markov property of the flow of information is established.
منابع مشابه
ON THE INFINITE ORDER MARKOV PROCESSES
The notion of infinite order Markov process is introduced and the Markov property of the flow of information is established.
متن کاملPredictive Rate-Distortion for Infinite-Order Markov Processes
Predictive rate-distortion analysis suffers from the curse of dimensionality: clustering arbitrarily long pasts to retain information about arbitrarily long futures requires resources that typically grow exponentially with length. The challenge is compounded for infiniteorder Markov processes, since conditioning on finite sequences cannot capture all of their past dependencies. Spectral argumen...
متن کاملOn Hidden Markov Processes with Infinite Excess Entropy
We investigate stationary hidden Markov processes for which mutual information between the past and the future is infinite. It is assumed that the number of observable states is finite and the number of hidden states is countably infinite. Under this assumption, we show that the block mutual information of a hidden Markov process is upper bounded by a power law determined by the tail index of t...
متن کاملCircumventing the Curse of Dimensionality in Prediction: Causal Rate-Distortion for Infinite-Order Markov Processes
SFI Working Papers contain accounts of scienti5ic work of the author(s) and do not necessarily represent the views of the Santa Fe Institute. We accept papers intended for publication in peer-‐reviewed journals or proceedings volumes, but not papers that have already appeared in print. Except for papers by our external faculty, papers must be based on work done at SFI, inspired by an invited v...
متن کاملFirst-Order Markov Decision Processes
Markov Decision Processes (MDPs) [7] have developed lately as a standard method for representing uncertainty in decision-theoretic planning. Traditional MDP solution techniques have the drawback that they require an explicit state space, limiting their applicability to real-world problems due to the large number of world states occurring in such problems. Recent work addresses this drawback via...
متن کاملON THE GENERALIZATION OF N-PLE MARKOV PROCESSES
The notion of N-ple Markov process is defined in a quite general framework and it is shown that N-ple Markov processes-arel inear combinationso f some martingales
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
journal of sciences islamic republic of iranجلد ۷، شماره ۳، صفحات ۰-۰
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023