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Interactive 3D/Regularization Path
Method
Regularization λ
λ = 0.100log=-1.0
0.001100
Stats at λ=0.100
Lasso nonzero:5 / 6
Ridge Σβ²:4.660
Lasso Σ|β|:5.463
x₁L:2.44
x₂L:-1.74
x₃L:0.84
x₄L:-0.35
x₅L:0.10
x₆L:0.00
Lasso (L1) produces exact zeros - automatic feature selection. Ridge (L2) shrinks all coefficients but never zeroes them.

Regularization Path - Interactive Visualization

Regularization paths show how model coefficients change as regularization strength λ varies. Ridge (L2) shrinks all coefficients smoothly toward zero - they never reach exactly zero. Lasso (L1) drives some coefficients to exactly zero at different λ values, performing automatic feature selection. The geometric difference: L2 ball is smooth (no corners), L1 diamond has corners on the axes.

  • Watch Ridge coefficients shrink smoothly and symmetrically toward zero
  • Watch Lasso coefficients hit zero at different λ values (variable selection)
  • See L1 constraint geometry (diamond) vs L2 (circle) in inset
  • Observe how many non-zero coefficients remain at each λ for Lasso
  • Foundation for feature selection, model compression, and interpretable ML

Part of the EngineersOfAI Interactive 3D - free interactive visualizations covering every major concept in machine learning and AI engineering. Hover any element for a plain-English explanation. No code required.