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Update README - GeoFractalDavid-Basin-k12 - Run 20251016_020120 - Acc 67.69%

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  1. README.md +41 -48
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@@ -14,7 +14,7 @@ metrics:
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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-k50
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  results:
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  - task:
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  type: image-classification
@@ -23,28 +23,27 @@ model-index:
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  type: imagenet-1k
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  metrics:
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  - type: accuracy
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- value: 71.24
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  name: Validation Accuracy
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  ---
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- # GeoFractalDavid-Basin-k50: 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**: 71.24%
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- - **Epoch**: 10/10
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- - **Training Time**: 22m 4s
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  ### Per-Scale Performance
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- - **Scale 448D**: 54.32%
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- - **Scale 512D**: 52.39%
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- - **Scale 576D**: 68.24%
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- - **Scale 640D**: 50.34%
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- - **Scale 704D**: 63.18%
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- - **Scale 768D**: 46.11%
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  ## 🏗️ Architecture
@@ -54,9 +53,9 @@ Features must "fit" geometric signatures: k-simplex shapes, Cantor positions, an
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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=50 (51 vertices per class)
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- - **Scales**: [448, 512, 576, 640, 704, 768]
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- - **Total Simplex Vertices**: 51,000
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  **Geometric Components**:
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  1. **Feature Similarity**: Cosine similarity to k-simplex centroids
@@ -71,9 +70,9 @@ Each scale learns to weight these components differently.
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  The alpha parameter controls middle-interval weighting in the Cantor staircase.
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- - **Initial**: 0.3301
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- - **Final**: -0.0637
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- - **Change**: -0.3938
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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
@@ -84,35 +83,30 @@ 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 448D**:
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- - Mean: 0.0248
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- - Std: 0.0778
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- - Range: [-0.1312, 0.1935]
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  **Scale 512D**:
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- - Mean: 0.0248
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- - Std: 0.0778
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- - Range: [-0.1313, 0.1933]
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- **Scale 576D**:
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- - Mean: 0.0249
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- - Std: 0.0778
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- - Range: [-0.1309, 0.1934]
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-
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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 704D**:
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- - Mean: 0.0249
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- - Std: 0.0778
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- - Range: [-0.1309, 0.1935]
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- **Scale 768D**:
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- - Mean: 0.0248
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- - Std: 0.0779
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- - Range: [-0.1314, 0.1931]
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  Most classes cluster around 0.5 (middle Cantor region), with smooth spread across [0,1].
@@ -122,12 +116,11 @@ This creates a continuous manifold rather than discrete bins.
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  Each scale learns optimal weights for combining geometric components:
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- **Scale 448D**: Feature=0.631, Cantor=0.022, Crystal=0.347
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- **Scale 512D**: Feature=0.497, Cantor=0.023, Crystal=0.480
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- **Scale 576D**: Feature=0.992, Cantor=0.001, Crystal=0.007
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- **Scale 640D**: Feature=0.420, Cantor=0.023, Crystal=0.557
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- **Scale 704D**: Feature=0.881, Cantor=0.001, Crystal=0.117
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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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32
  **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.
34
 
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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
84
  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.