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Sigmoid Function

An S-shaped mathematical function that transforms any real value into a probability between 0 and 1, used as an activation function in logistic regression.

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Logit Function

A logarithmic link function that converts probabilities to a logarithmic scale, defined as the natural logarithm of the odds of the probability of success.

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Maximum Likelihood

A method for estimating model parameters that maximizes the probability of observing the training data given the model's parameters.

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Bias (Intercept)

The constant term in the logistic regression equation that represents the baseline probability when all predictor variables are zero.

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Weights (Coefficients)

Multiplicative parameters associated with each predictor variable that quantify their influence on the classification probability.

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Decision Boundary

A hyperplane or surface that separates the different classes in the feature space, defined by the equation where the predicted probability equals 0.5.

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Odds Ratio

A measure of association that quantifies how the odds of an outcome change when the predictor variable increases by one unit, with all other variables held constant.

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L1 Regularization (Lasso)

A penalty technique that adds the sum of the absolute values of the coefficients to the cost function, favoring automatic feature selection.

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L2 Regularization (Ridge)

A penalty method that adds the sum of the squared coefficients to the cost function, reducing the magnitude of the coefficients to prevent overfitting.

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Area Under the Curve (AUC)

An evaluation metric that measures the probability that a model ranks a random positive instance higher than a random negative instance, ranging from 0.5 to 1.

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Classification Threshold

A cut-off probability value (typically 0.5) used to convert continuous probabilities into binary class predictions.

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Likelihood

A function that measures the probability of observing the data given the model parameters, used for parameter estimation in logistic regression.

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Cost Function (Log Loss)

A logarithmic penalty function that measures the divergence between the predicted probabilities and the actual labels, used to optimize the model.

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Convergence

A state where successive iterations of the optimization algorithm no longer significantly change the model's parameters, indicating that an optimum has been reached.

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Imbalanced Classes

A situation where one class is significantly less represented than the other in the training data, requiring sampling or weighting techniques.

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