Short Definition
L1 regularization adds a penalty based on the absolute values of model weights and often encourages sparse solutions.
Intuition
L1 pressure can push some weights all the way to zero, making the model ignore less useful inputs.
Technical Definition
L1 regularization adds a term proportional to the sum of absolute parameter values to the training objective.
Example
A linear model with L1 regularization may select a small subset of predictive features from many candidates.
Common Misunderstandings
L1 is not automatically better than L2; the desired behavior is different.
Sparsity depends on the model, data, and regularization strength.