Improve interactive diffeomorphism visualization - #5
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Major fixes and enhancements to the cube-to-simplex mapping visualization: ## Core Mapping Improvements - Replace sigmoid with inverse normal CDF mapping for better ability distribution - Fix barycentric coordinate conversion (was mapping vertices incorrectly) - Implement inverse normal space sampling to concentrate points near cube edges - Add deterministic pseudo-noise to special horse for smooth variation ## Interface Simplification - Reduce parameters from 6 sigmoid controls to 2 symmetric parameters (scale, shift) - Set mean-adaptive as default mode (creates better competitive balance) - Update default parameters to recommended values for optimal visualization ## Technical Fixes - Fix coordinate system bug that caused all points to cluster in corner - Proper temperature-scaled softmax for racing dynamics - Symmetric parameter handling for cleaner interface ## Documentation - Update README to mention interactive visualizations - Improved parameter defaults create beautiful visualization on page load The visualization now properly demonstrates cube-to-simplex diffeomorphisms with natural point distribution across the entire triangle. Co-Authored-By: Claude Sonnet 4 <noreply@anthropic.com>
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Summary
Major improvements to the interactive cube-to-simplex mapping visualization that resolve clustering issues and create beautiful, mathematically correct demonstrations of the Thurstone racing diffeomorphism.
Key Improvements
🔧 Core Mapping Fixes
🎛️ Interface Simplification
📊 Technical Improvements
Visual Results
The visualization now properly demonstrates:
Testing
Documentation
🚀 The diffeomorphism explorer now provides an engaging, mathematically accurate demonstration of cube-to-simplex mappings using Thurstone racing models.
🤖 Generated with Claude Code