prml-slides-1 - PATTERN RECOGNITION AND MACHINE LEARNING...

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PATTERN RECOGNITION AND MACHINE LEARNING CHAPTER 1: INTRODUCTION
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Example Handwritten Digit Recognition
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Polynomial Curve Fitting
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Sum-of-Squares Error Function
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0 th Order Polynomial
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1 st Order Polynomial
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3 rd Order Polynomial
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9 th Order Polynomial
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Over-fitting Root-Mean-Square (RMS) Error:
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Polynomial Coefficients
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Data Set Size: 9 th Order Polynomial
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Data Set Size: 9 th Order Polynomial
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Regularization Penalize large coefficient values
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Regularization:
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Regularization:
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Regularization: vs.
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Polynomial Coefficients
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Probability Theory Apples and Oranges
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Probability Theory Marginal Probability Conditional Probability Joint Probability
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Probability Theory Sum Rule Product Rule
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The Rules of Probability Sum Rule Product Rule
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Bayes ’ Theorem posterior likelihood × prior
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Probability Densities
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