Transformed Hidden Markov Models: Estimating Mixture Models of Images and Inferring Spatial Transformations in Video Sequence

IMAGE SEGMENTATION USING GAUSSIAN MIXTURE MODEL

  Stochastic models such as mixture models, graphical models, Markov random fields and hidden Markov models have key role in probabilistic data analysis. In this paper, we have learned Gaussian mixture model to the pixels of an image. The parameters of the model have estimated by EM-algorithm.   In addition pixel labeling corresponded to each pixel of true image is made by Bayes rule. In fact, ...

­­Image Segmentation using Gaussian Mixture Model

Abstract: Stochastic models such as mixture models, graphical models, Markov random fields and hidden Markov models have key role in probabilistic data analysis. In this paper, we used Gaussian mixture model to the pixels of an image. The parameters of the model were estimated by EM-algorithm.   In addition pixel labeling corresponded to each pixel of true image was made by Bayes rule. In fact,...

Estimating Mixture Models of Images and Inferring Spatial Transformations Using the EM Algorithm

Fast, Large-Scale Transformation-Invariant Clustering

In previous work on “transformed mixtures of Gaussians” and “transformed hidden Markov models”, we showed how the EM algorithm in a discrete latent variable model can be used to jointly normalize data (e.g., center images, pitch-normalize spectrograms) and learn a mixture model of the normalized data. The only input to the algorithm is the data, a list of possible transformations, and the numbe...

Statistical analysis of neural data : Continuous - space models ( First 2 / 3 )

1 Autoregressive models and Kalman filter models are Gaussian Markov and hidden Markov models, respectively 3 1.1 Example: voltage smoothing and interpolation; inferring biophysical parameters 5 1.2 We may perform inference in the Kalman model either via the forward-backwards recursion or by direct optimization methods . . . . . . . . . . . . . . . . . . . 9 1.3 The Kalman model is only identif...