A Maximization Technique Occurring in the Statistical Analysis of Probabilistic Functions of Markov Chains
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This article is published in Annals of Mathematical Statistics.The article was published on 1970-02-01 and is currently open access. It has received 4618 citations till now. The article focuses on the topics: Examples of Markov chains & Markov chain.read more
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Proceedings ArticleDOI
Image classification by a two dimensional hidden Markov model
Jia Li,Amir Najmi,Robert M. Gray +2 more
TL;DR: An image classification algorithm based on a hidden Markov model (HMM) that has transition probabilities conditioned on the states of neighboring blocks from both directions so that the dependency in two dimensions can be reflected simultaneously.
Book ChapterDOI
Formal Learning Theory
TL;DR: Using methods proper to the theory of computation, this construal has yielded mathematical insights that occasionally permit speculation about the acquisition of competence to be cast in sharper terms than heretofore.
Journal ArticleDOI
EM and beyond
TL;DR: The basic theme of the EM algorithm, to repeatedly use complete-data methods to solve incomplete data problems, is also a theme of several more recent statistical techniques that combine simulation techniques with complete- data methods to attack problems that are difficult or impossible for EM.
BookDOI
Machine Learning: ECML 2000
TL;DR: This talk describes how information about the search process can be taken into account when evaluating hypotheses, and how the expected generalization error of a hypothesis is computed as a function of the search steps leading to it.
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A speaker-independent, syntax-directed, connected word recognition system based on hidden Markov models and level building
TL;DR: This paper shows how to integrate efficient and accurate speech modeling methods and network search procedures to give a speaker-independent, syntax-directed, connected word recognition system which requires only a modest amount of computation, and whose performance is comparable to that of previous recognizers requiring an order of magnitude more computation.
References
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Journal ArticleDOI
Statistical Inference for Probabilistic Functions of Finite State Markov Chains
Leonard E. Baum,Ted Petrie +1 more
Journal ArticleDOI
An inequality with applications to statistical estimation for probabilistic functions of Markov processes and to a model for ecology
Leonard E. Baum,J. A. Eagon +1 more
TL;DR: In this paper, a polynomial with nonnegative coefficients homogeneous of degree d in its variables is shown to be polynomially homogeneous unless 3(3(x))>P(x), where 3(x)=x.
Book ChapterDOI
The Gamma Function
Willi Freeden,Martin Gutting +1 more
TL;DR: The Gamma function as discussed by the authors is a generalized factorial function that can be used to estimate the probability distribution of a probability distribution, and it has been used in many applications, e.g., as part of probability distributions.