What are the applications of stochastic processes in natural language processing? How are stochastic models used in language modeling?

... Informational Risks, Peking Univ. Ser. Math. 5 ... Jeanblanc, No-arbitrage under additional information for thin semimartingale models, Stochastic Process. May 22, 2020 ... ... process—the minimal amount of information required to ... If the considered time series is generated by a stochastic process of Markov ... ... information in a random process and characterizing its asymptotic behavior. ... stochastic manner. The basic approach to proving positive coding theorems. Applying sequential measurements yields classical stochastic processes whose informational properties are bounded by those of the underlying quantum process. ... Stochastic Processes and their Ap- plications, 74 (2) 195-201, 1998. 21 ... gineering and Informational Science, 18 (4) 493-502, 2004. 26. Zazanis ... Feb 20, 2007 ... Efficient tools to characterize stochastic processes are discussed. Quantifiers originally proposed within the framework of information ... Nov 11, 2016 ... We consider stochastic dynamics of interacting systems and , which are not necessarily Markov processes. We consider a discrete time k (=1, …, N) ... Also, as we shall point out, mutual information corresponds to the increase in the doubling rate of wealth given side information. ... random processes such as ... an information process with stochastic volatility. JEL classification: G12 ... Informational Con0 tent of Implied Volatility, Review of Financial ... This paper deals with the problem of establishing conditions under which, in the independent Gaussian case, a stochastic process can be considered to be ...