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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Journal ArticleDOI
Stochastic maximum likelihood methods for semi-blind channel estimation
Hakan Ali Cirpan,M.K. Tsatsanis +1 more
TL;DR: The proposed method provides a unified framework for semi-blind channel estimation, which exploits information from both the training and the blind part of the received data record, as well as providing a computationally efficient solution to the resulting optimization problem.
Proceedings ArticleDOI
Trajectory clustering for motion prediction
TL;DR: This work proposes an original trajectory clustering algorithm for extracting motion patterns from trajectory data and demonstrates its effectiveness over the more common clustering approach of using k-means.
Journal ArticleDOI
An artificial neural network approach to automatic speech processing
TL;DR: Several ANN-based applications for speech processing will be presented, ranging from speech attribute extraction to phoneme estimation and/or classification, and it will be shown that ANNs play a key role in several important speech applications, such as large vocabulary continuous speech recognition and automatic language recognition.
Reinforcement learning models of the dopamine system and their behavioral implications
TL;DR: This thesis aims to improve theories of how the brain functions and to provide a framework to guide future neuroscientific experiments by making use of theoretical and algorithmic ideas from computer science around the detailed understanding of the dopamine system.
Posted ContentDOI
Mice alternate between discrete strategies during perceptual decision-making
Zoe C. Ashwood,Nicholas Roy,Iris R. Stone,Anne K. Churchland,Alexandre Pouget,Jonathan W. Pillow +5 more
TL;DR: Analysis of data from two mouse decision-making experiments found that choice behavior relies on an interplay between multiple interleaved strategies, characterized by states in a hidden Markov model, which persist for tens to hundreds of trials before switching, and may alternate multiple times within a session.
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.