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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A Bayesian estimation approach for speech enhancement using hidden Markov models
TL;DR: A Bayesian estimation approach for enhancing speech signals which have been degraded by statistically independent additive noise is motivated and developed, and minimum mean square error (MMSE) and maximum a posteriori (MAP) signal estimators are developed using hidden Markov models for the clean signal and the noise process.
Journal ArticleDOI
Machine Learning for Integrating Data in Biology and Medicine: Principles, Practice, and Opportunities.
Marinka Zitnik,Francis Nguyen,Francis Nguyen,Bo Wang,Jure Leskovec,Anna Goldenberg,Michael M. Hoffman +6 more
TL;DR: In this paper, the authors describe the principles of data integration and discuss current methods and available implementations, as well as current challenges in biomedical integrative methods and their perspective on the future development of the field.
Book ChapterDOI
Inducing Probabilistic Grammars by Bayesian Model Merging
TL;DR: A framework for inducing probabilistic grammars from corpora of positive samples is described, which formalizes a trade-off between a close fit to the data and a default preference for simpler models (‘Occam's Razor’).
Journal ArticleDOI
The Molecular Structure of the Liquid-Ordered Phase of Lipid Bilayers
Alexander J. Sodt,Michael Logan Sandar,Michael Logan Sandar,Klaus Gawrisch,Klaus Gawrisch,Richard W. Pastor,Richard W. Pastor,Edward Lyman,Edward Lyman +8 more
TL;DR: The balance of cholesterol-rich to local hexagonal order is proposed to control the partitioning of membrane components into the L(o) regions, which have been frequently associated with formation of so-called rafts, platforms in the plasma membranes of cells that facilitate interaction between components of signaling pathways.
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How Would Surround Vehicles Move? A Unified Framework for Maneuver Classification and Motion Prediction
TL;DR: In this article, a unified framework for surround vehicle maneuver classification and motion prediction is proposed, which exploits multiple cues, namely, the estimated motion of vehicles, an understanding of typical motion patterns of freeway traffic and intervehicle interaction.
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.