Update README - GeoFractalDavid-Basin-k9 - Run 20251015_233559 - Acc 78.94%
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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
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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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## 🏗️ Architecture
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**Core Components**:
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- **Feature Dimension**: 768
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- **Number of Classes**: 1000
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- **k-Simplex Structure**: k=
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- **Scales**: [576, 640, 704, 768, 832, 896, 960]
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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**: 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 576D**:
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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.
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- Std: 0.
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- Range: [
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**Scale 704D**:
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- Mean: 0.
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- Std: 0.
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- Range: [
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**Scale 768D**:
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- Mean: 0.
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- Std: 0.
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- Range: [
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**Scale 832D**:
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- Mean: 0.
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- Std: 0.
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- Range: [
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**Scale 896D**:
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- Mean: 0.
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- Std: 0.
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- Range: [
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**Scale 960D**:
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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
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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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**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-k9
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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: 78.94
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name: Validation Accuracy
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---
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# GeoFractalDavid-Basin-k9: 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**: 78.94%
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- **Epoch**: 2/10
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- **Training Time**: 5m
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### Per-Scale Performance
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- **Scale 512D**: 78.05%
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- **Scale 576D**: 78.18%
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- **Scale 640D**: 78.17%
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- **Scale 704D**: 78.07%
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- **Scale 768D**: 77.93%
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- **Scale 832D**: 77.51%
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- **Scale 896D**: 77.29%
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- **Scale 960D**: 76.83%
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- **Scale 1024D**: 76.89%
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## 🏗️ Architecture
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**Core Components**:
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- **Feature Dimension**: 768
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- **Number of Classes**: 1000
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- **k-Simplex Structure**: k=9 (10 vertices per class)
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- **Scales**: [512, 576, 640, 704, 768, 832, 896, 960, 1024]
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- **Total Simplex Vertices**: 10,000
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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**: 0.4823
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- **Final**: 0.4067
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- **Change**: -0.0756
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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 512D**:
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- Mean: 0.4160
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- Std: 0.1368
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- Range: [0.0494, 0.7292]
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**Scale 576D**:
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- Mean: 0.4171
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- Std: 0.1361
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- Range: [0.0492, 0.7291]
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**Scale 640D**:
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- Mean: 0.4178
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- Std: 0.1356
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- Range: [0.0497, 0.7288]
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**Scale 704D**:
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- Mean: 0.4183
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- Std: 0.1352
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- Range: [0.0495, 0.7274]
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**Scale 768D**:
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- Mean: 0.4165
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- Std: 0.1294
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- Range: [0.0494, 0.6725]
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**Scale 832D**:
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- Mean: 0.4172
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- Std: 0.1301
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- Range: [0.0493, 0.6754]
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**Scale 896D**:
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- Mean: 0.4170
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- Std: 0.1329
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- Range: [0.0493, 0.6931]
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**Scale 960D**:
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- Mean: 0.4173
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- Std: 0.1335
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- Range: [0.0495, 0.6973]
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**Scale 1024D**:
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- Mean: 0.4171
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- Std: 0.1341
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- Range: [0.0497, 0.7015]
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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 512D**: Feature=0.688, Cantor=0.075, Crystal=0.237
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**Scale 576D**: Feature=0.646, Cantor=0.075, Crystal=0.279
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**Scale 640D**: Feature=0.609, Cantor=0.074, Crystal=0.317
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**Scale 704D**: Feature=0.599, Cantor=0.069, Crystal=0.332
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**Scale 768D**: Feature=0.855, Cantor=0.027, Crystal=0.118
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**Scale 832D**: Feature=0.800, Cantor=0.032, Crystal=0.168
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**Scale 896D**: Feature=0.704, Cantor=0.041, Crystal=0.255
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**Scale 960D**: Feature=0.667, Cantor=0.045, Crystal=0.289
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**Scale 1024D**: Feature=0.633, Cantor=0.046, Crystal=0.321
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**Pattern**: Lower scales rely on feature similarity, higher scales use crystal geometry.
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