Kernels: Feature Maps for a Ring-Shaped Set, Polynomial and Radial Kernel Tables
This lesson is part of the course
In this lesson
You lift a ring-shaped toy set into a new feature z = x1² + x2² where one straight cut separates it, then build a polynomial and a radial kernel table that measure similarity without writing out any new features.
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Lessons in this course
- A Separating Line: Scores, Signs and Predicted Classes Locked
- Margins: Functional Margin, Geometric Margin and the Width of the Street Locked
- Hinge Loss: Points Outside, Inside and on the Wrong Side of the Margin Locked
- Soft Margins and C: Trading a Wide Street Against Hinge Loss Locked
- Training by Sub-Gradient Steps: Update Rules, a Fixed Learning Rate and the Objective per Epoch Locked
- Support Vectors: The Few Tiles That Hold the Line Locked
- Kernels: Feature Maps for a Ring-Shaped Set, Polynomial and Radial Kernel Tables Locked
- Capstone: Kernel Decisions Σ α·y·K + b and Several Classes with One-vs-Rest Locked