correcting typos in log reg
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@@ -11,7 +11,7 @@ coefficients of a functional fit (say a polynomial) in order to be
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able to predict the response of a continuous variable on some unseen
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data. The fit to the continuous variable $y_i$ is based on some
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independent variables $\hat{x}_i$. Linear regression resulted in
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analytical expressions (in terms of matrices to invert) for several
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analytical expressions for standard ordinary Least Squares or Ridge regression (in terms of matrices to invert) for several
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quantities, ranging from the variance and thereby the confidence
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intervals of the parameters $\hat{\beta}$ to the mean squared
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error. If we can invert the product of the design matrices, linear
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@@ -40,7 +40,7 @@ failure etc.
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Logistic regression will also serve as our stepping stone towards neural
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network algorithms and supervised deep learning. For logistic
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learning, the minimization of the cost function leads to a non-linear
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equation in the parameters $\hat{\beta}$. The optmization of the problem calls therefore for minimization algorithms. This forms the bottle neck of all machine learning algorithms, namely how to find reliable minima of a multi-variable function. This leads us to the family of gradient descent methods. The latter are the working horses of basically all modern machine learning algorithms.
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equation in the parameters $\hat{\beta}$. The optimization of the problem calls therefore for minimization algorithms. This forms the bottle neck of all machine learning algorithms, namely how to find reliable minima of a multi-variable function. This leads us to the family of gradient descent methods. The latter are the working horses of basically all modern machine learning algorithms.
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We note also that many of the topics discussed here
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regression are also commonly used in modern supervised Deep Learning
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