# LinearRegression¶

class getml.predictors.LinearRegression(learning_rate: float = 0.9, reg_lambda: float = 1e-10)[source]

Simple predictor for regression problems.

Learns a simple linear relationship using ordinary least squares (OLS) regression:

$\hat{y} = w_0 + w_1 * feature_1 + w_2 * feature_2 + ...$

The weights are optimized by minimizing the squared loss of the predictions $$\hat{y}$$ w.r.t. the targets $$y$$.

$L(y,\hat{y}) = \frac{1}{n} \sum_{i=1}^{n} (y_i -\hat{y}_i)^2$

Linear regressions can be trained arithmetically or numerically. Training arithmetically is more accurate, but suffers worse scalability.

If you decide to pass categorical features to the LinearRegression, it will be trained numerically. Otherwise, it will be trained arithmetically.

Args:
learning_rate (float, optional):

The learning rate used for training numerically (only relevant when categorical features are included). Range: (0, $$\infty$$]

reg_lambda (float, optional):

L2 regularization parameter. Range: [0, $$\infty$$]

Methods

 validate([params]) Checks both the types and the values of all instance variables and raises an exception if something is off.

Attributes