Visualizing the Hyperplane
Class +1
Class -1
Click to add data points
The "Highway" Structure
Decision Boundary:
The exact "fence" (Score = 0).
The Margin (White Area):
The safety gap between classes.
Dotted Lines:
The "gutters" (Score = +1 or -1).
Special Markers
Support Vectors (Halos):
The only points that "hold up" the boundary.
Confidence Zones:
Areas where the model is certain.
Controls
Toggle Class
+1 (Red)
-1 (Blue)
Soft Margin (C):
1.00
Clear
Random
The Math (from Image)
Minimize: 1/2 ||w||²
Subject to: yᵢ(w·xᵢ + b) ≥ 1
Margin Width = 2 / ||w||