Update README - GeoFractalDavid-Basin-k12 - Run 20251016_020120 - Acc 67.69%
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README.md
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- accuracy
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library_name: pytorch
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model-index:
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- name: GeoFractalDavid-Basin-
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results:
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- task:
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type: image-classification
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type: imagenet-1k
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metrics:
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- type: accuracy
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value:
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name: Validation Accuracy
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---
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# GeoFractalDavid-Basin-
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**GeoFractalDavid** achieves classification through geometric compatibility rather than cross-entropy.
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Features must "fit" geometric signatures: k-simplex shapes, Cantor positions, and hierarchical structure.
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## 🎯 Performance
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- **Best Validation Accuracy**:
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- **Epoch**:
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- **Training Time**:
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### Per-Scale Performance
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- **Scale
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- **Scale 512D**:
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- **Scale
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- **Scale
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- **Scale
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- **Scale 768D**: 46.11%
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## 🏗️ Architecture
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**Core Components**:
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- **Feature Dimension**: 512
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- **Number of Classes**: 1000
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- **k-Simplex Structure**: k=
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- **Scales**: [
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- **Total Simplex Vertices**:
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**Geometric Components**:
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1. **Feature Similarity**: Cosine similarity to k-simplex centroids
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The alpha parameter controls middle-interval weighting in the Cantor staircase.
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- **Initial**: 0.
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- **Final**:
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- **Change**: -0.
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- **Converged to 0.5**: False
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The Cantor staircase uses soft triadic decomposition with learnable alpha to map
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Each class has a learned scalar Cantor prototype. The model pulls features toward
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their class's Cantor position.
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**Scale
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- Mean: 0.
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- Std: 0.
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- Range: [
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**Scale 512D**:
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- Mean: 0.
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- Std: 0.
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- Range: [
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**Scale
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- Mean: 0.
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- Std: 0.
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- Range: [
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**Scale 640D**:
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- Mean: 0.0247
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- Std: 0.0778
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- Range: [-0.1315, 0.1930]
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**Scale
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- Mean: 0.
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- Std: 0.
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- Range: [
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**Scale
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- Mean: 0.
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- Std: 0.
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- Range: [
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Most classes cluster around 0.5 (middle Cantor region), with smooth spread across [0,1].
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Each scale learns optimal weights for combining geometric components:
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**Scale
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**Scale 512D**: Feature=0.
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**Scale
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**Scale
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**Scale
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**Scale 768D**: Feature=0.423, Cantor=0.013, Crystal=0.564
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**Pattern**: Lower scales rely on feature similarity, higher scales use crystal geometry.
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- accuracy
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library_name: pytorch
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model-index:
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- name: GeoFractalDavid-Basin-k12
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results:
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- task:
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type: image-classification
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type: imagenet-1k
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metrics:
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- type: accuracy
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value: 67.69
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name: Validation Accuracy
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---
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# GeoFractalDavid-Basin-k12: Geometric Basin Classification
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**GeoFractalDavid** achieves classification through geometric compatibility rather than cross-entropy.
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Features must "fit" geometric signatures: k-simplex shapes, Cantor positions, and hierarchical structure.
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## 🎯 Performance
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- **Best Validation Accuracy**: 67.69%
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- **Epoch**: 2/10
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- **Training Time**: 3m
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### Per-Scale Performance
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- **Scale 384D**: 66.16%
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- **Scale 512D**: 66.40%
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- **Scale 768D**: 67.01%
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- **Scale 1024D**: 65.70%
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- **Scale 1280D**: 61.63%
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## 🏗️ Architecture
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**Core Components**:
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- **Feature Dimension**: 512
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- **Number of Classes**: 1000
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- **k-Simplex Structure**: k=12 (13 vertices per class)
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- **Scales**: [384, 512, 768, 1024, 1280]
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- **Total Simplex Vertices**: 13,000
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**Geometric Components**:
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1. **Feature Similarity**: Cosine similarity to k-simplex centroids
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The alpha parameter controls middle-interval weighting in the Cantor staircase.
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- **Initial**: 0.3290
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- **Final**: 0.3158
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- **Change**: -0.0132
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- **Converged to 0.5**: False
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The Cantor staircase uses soft triadic decomposition with learnable alpha to map
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Each class has a learned scalar Cantor prototype. The model pulls features toward
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their class's Cantor position.
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**Scale 384D**:
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- Mean: 0.2949
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- Std: 0.1159
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- Range: [0.0695, 0.4995]
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**Scale 512D**:
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- Mean: 0.2942
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- Std: 0.1160
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- Range: [0.0690, 0.4994]
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**Scale 768D**:
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- Mean: 0.3039
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- Std: 0.1147
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- Range: [0.0746, 0.5010]
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**Scale 1024D**:
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- Mean: 0.2993
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- Std: 0.1153
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- Range: [0.0727, 0.4998]
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**Scale 1280D**:
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- Mean: 0.2973
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- Std: 0.1156
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- Range: [0.0710, 0.4997]
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Most classes cluster around 0.5 (middle Cantor region), with smooth spread across [0,1].
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Each scale learns optimal weights for combining geometric components:
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**Scale 384D**: Feature=0.765, Cantor=0.070, Crystal=0.165
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**Scale 512D**: Feature=0.717, Cantor=0.072, Crystal=0.211
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**Scale 768D**: Feature=0.866, Cantor=0.030, Crystal=0.104
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**Scale 1024D**: Feature=0.744, Cantor=0.041, Crystal=0.215
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**Scale 1280D**: Feature=0.661, Cantor=0.042, Crystal=0.298
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**Pattern**: Lower scales rely on feature similarity, higher scales use crystal geometry.
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