Lasso and ridge regression are very similar to regular linear regression, except we add regularization terms to limit the slopes (or partial slopes) in the formula. There may be multiple reasons for this, but a common one is that we wish to restrict the features that have an impact on the dependent variable. This can be accomplished by adding a term to the loss function that depends on the value of our slope, A.
For lasso regression, we must add a term that greatly increases our loss function if the slope, A, gets above a certain value. We could use TensorFlow's logical operations, but they do not have a gradient associated with them. Instead, we will use a continuous approximation to a step function, called the continuous heavy ...