Update README - GeoFractalDavid-Basin-k7 - Run 20251016_001155 - Acc 67.72%
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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**: 2/10
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- **Training Time**:
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### Per-Scale Performance
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- **Scale
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- **Scale
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- **Scale
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- **Scale
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- **Scale
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- **Scale
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- **Scale
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- **Scale 960D**: 77.48%
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- **Scale 1024D**: 76.10%
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## 🏗️ Architecture
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**Model Type**: Multi-scale geometric basin classifier
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**Core Components**:
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- **Feature Dimension**:
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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**: 0.
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- **Change**: +0.
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- **Converged to 0.5**:
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The Cantor staircase uses soft triadic decomposition with learnable alpha to map
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features into [0,1] space with fractal structure.
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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 512D**:
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- Mean: 0.
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- Std: 0.
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- Range: [0.
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**Scale 576D**:
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- Mean: 0.
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- Std: 0.
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- Range: [0.
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**Scale 640D**:
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- Mean: 0.
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- Std: 0.
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- Range: [0.
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**Scale 704D**:
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- Mean: 0.
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- Std: 0.
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- Range: [0.
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**Scale 768D**:
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- Mean: 0.5344
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- Std: 0.1296
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- Range: [0.2642, 0.7727]
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**Scale 832D**:
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- Mean: 0.5376
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- Std: 0.1279
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- Range: [0.2729, 0.7738]
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**Scale 896D**:
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- Mean: 0.5361
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- Std: 0.1295
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- Range: [0.2662, 0.7758]
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**Scale 960D**:
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- Mean: 0.5367
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- Std: 0.1287
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- Range: [0.2695, 0.7749]
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**Scale 1024D**:
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- Mean: 0.5375
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- Std: 0.1283
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- Range: [0.2718, 0.7747]
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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
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**Scale
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**Scale
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**Scale
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**Scale
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**Scale
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**Scale 960D**: Feature=0.735, Cantor=0.038, Crystal=0.227
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**Scale 1024D**: Feature=0.663, Cantor=0.042, Crystal=0.295
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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-k7
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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: 67.72
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name: Validation Accuracy
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---
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# GeoFractalDavid-Basin-k7: 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**: 67.72%
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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 320D**: 66.08%
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- **Scale 384D**: 66.29%
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- **Scale 448D**: 66.44%
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- **Scale 512D**: 66.57%
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- **Scale 576D**: 66.48%
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- **Scale 640D**: 65.66%
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- **Scale 704D**: 64.23%
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## 🏗️ Architecture
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**Model Type**: Multi-scale geometric basin classifier
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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=7 (8 vertices per class)
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- **Scales**: [320, 384, 448, 512, 576, 640, 704]
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- **Total Simplex Vertices**: 8,000
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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**: 0.1869
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- **Final**: 0.2275
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- **Change**: +0.0406
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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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features into [0,1] space with fractal structure.
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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 320D**:
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- Mean: 0.2813
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- Std: 0.1235
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- Range: [0.0390, 0.4998]
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**Scale 384D**:
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- Mean: 0.2804
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- Std: 0.1237
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- Range: [0.0377, 0.4998]
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**Scale 448D**:
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- Mean: 0.2801
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- Std: 0.1237
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- Range: [0.0368, 0.4998]
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**Scale 512D**:
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- Mean: 0.2969
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- Std: 0.1208
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- Range: [0.0492, 0.5041]
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**Scale 576D**:
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- Mean: 0.2965
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- Std: 0.1208
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- Range: [0.0501, 0.5020]
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**Scale 640D**:
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- Mean: 0.2906
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- Std: 0.1219
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- Range: [0.0455, 0.5000]
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**Scale 704D**:
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- Mean: 0.2902
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- Std: 0.1219
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- Range: [0.0453, 0.4998]
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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 320D**: Feature=0.732, Cantor=0.085, Crystal=0.183
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**Scale 384D**: Feature=0.713, Cantor=0.087, Crystal=0.200
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**Scale 448D**: Feature=0.675, Cantor=0.091, Crystal=0.234
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**Scale 512D**: Feature=0.863, Cantor=0.033, Crystal=0.104
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**Scale 576D**: Feature=0.812, Cantor=0.036, Crystal=0.152
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**Scale 640D**: Feature=0.749, Cantor=0.042, Crystal=0.210
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**Scale 704D**: Feature=0.701, Cantor=0.041, Crystal=0.258
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**Pattern**: Lower scales rely on feature similarity, higher scales use crystal geometry.
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