Open AccessJournal Article
A gentle tutorial of the em algorithm and its application to parameter estimation for Gaussian mixture and hidden Markov models
Reads0
Chats0
TLDR
In this paper, the authors describe the EM algorithm for finding the parameters of a mixture of Gaussian densities and a hidden Markov model (HMM) for both discrete and Gaussian mixture observation models.Abstract:
We describe the maximum-likelihood parameter estimation problem and how the ExpectationMaximization (EM) algorithm can be used for its solution. We first describe the abstract form of the EM algorithm as it is often given in the literature. We then develop the EM parameter estimation procedure for two applications: 1) finding the parameters of a mixture of Gaussian densities, and 2) finding the parameters of a hidden Markov model (HMM) (i.e., the Baum-Welch algorithm) for both discrete and Gaussian mixture observation models. We derive the update equations in fairly explicit detail but we do not prove any convergence properties. We try to emphasize intuition rather than mathematical rigor.read more
Citations
More filters
Journal ArticleDOI
Human Promoters Are Intrinsically Directional
Sascha H. Duttke,Scott A. Lacadie,Mahmoud M. Ibrahim,Mahmoud M. Ibrahim,Christopher K. Glass,David L. Corcoran,Christopher Benner,Sven Heinz,Sven Heinz,James T. Kadonaga,Uwe Ohler,Uwe Ohler +11 more
TL;DR: It is shown that the human basal RNA polymerase II transcriptional machinery and core promoter are inherently unidirectional and that reverse-oriented transcripts originate from their own cognate reverse-directed core promoters.
Journal ArticleDOI
Rosette Tracker: An Open Source Image Analysis Tool for Automatic Quantification of Genotype Effects
TL;DR: Rosette Tracker is introduced, a new open source image analysis tool for evaluation of plant-shoot phenotypes that allows us to simultaneously quantify plant growth, photosynthesis, and leaf temperature-related parameters through the analysis of visual, chlorophyll fluorescence, and/or thermal infrared time-lapse sequences.
Journal ArticleDOI
Fingerprint recognition by combining global structure and local cues
Jinwei Gu,Jie Zhou,Chunyu Yang +2 more
TL;DR: This paper proposes a novel representation for fingerprints which includes both minutiae and model-based orientation field, and shows that the global orientation field is beneficial to the alignment of the fingerprints which are either incomplete or poor-qualitied.
Proceedings ArticleDOI
Motion capture based human motion recognition and imitation by direct marker control
TL;DR: A Cartesian control approach is proposed in which a set of control points on the humanoid is selected and the robot is virtually connected to the measured marker points via translational springs, which allows to make the robot follow the marker points without the need of explicitly computing inverse kinematics.
Journal ArticleDOI
Automated learning of generative models for subcellular location: Building blocks for systems biology
Ting Zhao,Robert F. Murphy +1 more
TL;DR: Generative models of subcellular location that are learned from a collection of images so that they not only represent the pattern, but also capture its variation from cell to cell.
References
More filters
Journal ArticleDOI
Maximum likelihood from incomplete data via the EM algorithm
Book
The Nature of Statistical Learning Theory
TL;DR: Setting of the learning problem consistency of learning processes bounds on the rate of convergence ofLearning processes controlling the generalization ability of learning process constructing learning algorithms what is important in learning theory?
Statistical learning theory
TL;DR: Presenting a method for determining the necessary and sufficient conditions for consistency of learning process, the author covers function estimates from small data pools, applying these estimations to real-life problems, and much more.
Book
The Fractal Geometry of Nature
TL;DR: This book is a blend of erudition, popularization, and exposition, and the illustrations include many superb examples of computer graphics that are works of art in their own right.