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18_UnsupervisedLearing

18_UnsupervisedLearing - Unsupervised learning Music Groups...

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11/23/2009 1 Unsupervised learning White dwarfs in the globular cluster M4. In this picture, only the faintest stars are white dwarfs (Credit: NASA and H. Richer (University of British Columbia)) Music Groups X 2 How many clusters are you seeing? A=1 B=2 C=3 D=4 E=Whatever X 1
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11/23/2009 2 K Means Initialize k cluster centers Randomly or uniformly Repeat Assign datapoints to closest center Adjust center to mean of all assigned datapoints Until no change in assignments Possible cycles? Wikipedia http://www.itee.uq.edu.au/~comp4702/lectures/k means_bis_1.jpg
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11/23/2009 3 www.optimaldesign.com/.../AMAlgorithms.html Learning a mixture of Gaussians 1. Assume there are k components (Gaussians ) generating the data 2. Estimate p ij – the probability point x j was generated by component i. Define 3 Maximize probabilities of components generating their 3. own data 4. Repeat from 2 until little or no change http://jormungand.net/projects/em/ The steps of the EM algorithm on a two component Gaussian
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