Paper ID | S.9.3 | ||
Paper Title | On the Trackability of Stochastic Processes Based on Causal Information | ||
Authors | Baran Tan Bacinoglu, Middle East Technical University, Turkey; Yin Sun, Auburn University, United States; Elif Uysal, Middle East Technical University, United States | ||
Session | S.9: Information Measures I | ||
Presentation | Lecture | ||
Track | Shannon Theory | ||
Manuscript | Click here to download the manuscript | ||
Virtual Presentation | Click here to watch in the Virtual Symposium | ||
Abstract | We consider the problem of tracking an unstable stochastic process $X_t$ by using causal knowledge of another stochastic process $Y_t$. We obtain necessary conditions and sufficient conditions for maintaining a finite tracking error. We provide necessary conditions as well as sufficient conditions for the success of this estimation, which is defined as order $m$ moment trackability. By-products of this study are connections between statistics such as R\'{e}nyi entropy, Gallager's reliability function, and the concept of anytime capacity. |
Plan Ahead
2021 IEEE International Symposium on Information Theory
11-16 July 2021 | Melbourne, Victoria, Australia