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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Modeling sequences and temporal networks with dynamic community structures
TL;DR: A data-driven method that determines relevant timescales for the dynamics and uses it to identify communities is presented and a nonparametric Bayesian inference framework is developed that identifies the simplest such model that can explain temporal interaction data.
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Using accelerometer, high sample rate GPS and magnetometer data to develop a cattle movement and behaviour model
TL;DR: It is shown that a Hidden Markov model (HMM) can be used to describe the animal's movement and state transition behaviour within several “stay” areas where cows remained for long periods.
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The Behavioral Relevance of Cortical Neural Ensemble Responses Emerges Suddenly.
TL;DR: It is demonstrated that activity related to naturalistic consumption decisions emerges nearly instantaneously in cortical ensembles, and a decision to evaluate “what shall I do with it?” after the identity of a taste in the mouth has been identified is made in a sudden moment of “insight.”
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Some properties of continuous hidden Markov model representations
TL;DR: It is shown that the Baum-Welch reestimation method can be generalized to handle mixtures of elliptically symmetric pdf's, and any continuous pdf can be approximated to any desired accuracy by such mixtures, in particular, by mixture of multivariate Gaussian pdf's.
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The past, present, and future of speech processing
Biing-Hwang Juang,Tsuhan Chen +1 more
TL;DR: The research areas covered are speech analysis and synthesis, speech coding, speech enhancement, speech recognition, spoken language understanding, speaker identification and verification, and multimodal communication.
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.