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Browse files- README.md +64 -64
- config.json +9 -9
- create_safetensors.py +26 -26
- model.py +16 -16
README.md
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---
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license: mit
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tags:
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- pytorch
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- safetensors
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- threshold-logic
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- neuromorphic
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---
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# threshold-greaterthanorequal
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1-bit greater-than-or-equal comparator. Outputs 1 when a >= b.
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## Function
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gte(a, b) = 1 if a >= b, else 0
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Equivalent to: a OR NOT(b) (reverse implication)
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## Truth Table
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| a | b | a >= b |
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|---|---|--------|
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| 0 | 0 | 1 |
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| 0 | 1 | 0 |
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| 1 | 0 | 1 |
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| 1 | 1 | 1 |
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## Architecture
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Single neuron: weights [1, -1], bias 0
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Fires when: a - b >= 0, i.e., a >= b
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## Parameters
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|---|---|
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| Inputs | 2 |
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| Outputs | 1 |
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| Neurons | 1 |
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| Layers | 1 |
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| Parameters | 3 |
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| Magnitude | 2 |
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## Usage
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```python
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from safetensors.torch import load_file
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import torch
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w = load_file('model.safetensors')
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def gte(a, b):
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inp = torch.tensor([float(a), float(b)])
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return int((inp @ w['neuron.weight'].T + w['neuron.bias'] >= 0).item())
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print(gte(1, 0)) # 1
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print(gte(0, 1)) # 0
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```
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## License
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MIT
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---
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license: mit
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tags:
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- pytorch
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- safetensors
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- threshold-logic
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- neuromorphic
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---
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+
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# threshold-greaterthanorequal
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+
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1-bit greater-than-or-equal comparator. Outputs 1 when a >= b.
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+
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+
## Function
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+
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gte(a, b) = 1 if a >= b, else 0
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+
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Equivalent to: a OR NOT(b) (reverse implication)
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+
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## Truth Table
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| a | b | a >= b |
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|---|---|--------|
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| 0 | 0 | 1 |
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| 0 | 1 | 0 |
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| 1 | 0 | 1 |
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| 1 | 1 | 1 |
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## Architecture
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Single neuron: weights [1, -1], bias 0
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Fires when: a - b >= 0, i.e., a >= b
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## Parameters
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| | |
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|---|---|
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| Inputs | 2 |
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| Outputs | 1 |
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| Neurons | 1 |
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| Layers | 1 |
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| Parameters | 3 |
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| Magnitude | 2 |
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## Usage
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```python
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from safetensors.torch import load_file
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import torch
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w = load_file('model.safetensors')
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def gte(a, b):
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inp = torch.tensor([float(a), float(b)])
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return int((inp @ w['neuron.weight'].T + w['neuron.bias'] >= 0).item())
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print(gte(1, 0)) # 1
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print(gte(0, 1)) # 0
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```
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## License
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MIT
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config.json
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{
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"name": "threshold-greaterthanorequal",
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"description": "1-bit greater-than-or-equal comparator",
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"inputs": 2,
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"outputs": 1,
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"neurons": 1,
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"layers": 1,
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"parameters": 3
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}
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{
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"name": "threshold-greaterthanorequal",
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"description": "1-bit greater-than-or-equal comparator",
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"inputs": 2,
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"outputs": 1,
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"neurons": 1,
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"layers": 1,
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"parameters": 3
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}
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create_safetensors.py
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import torch
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from safetensors.torch import save_file
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# a >= b is equivalent to a - b >= 0
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weights = {
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'neuron.weight': torch.tensor([[1.0, -1.0]], dtype=torch.float32),
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'neuron.bias': torch.tensor([0.0], dtype=torch.float32)
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}
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save_file(weights, 'model.safetensors')
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def gte(a, b):
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inp = torch.tensor([float(a), float(b)])
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return int((inp @ weights['neuron.weight'].T + weights['neuron.bias'] >= 0).item())
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print("Verifying greaterthanorequal...")
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errors = 0
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for a in [0, 1]:
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for b in [0, 1]:
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result = gte(a, b)
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expected = 1 if a >= b else 0
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if result != expected:
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errors += 1
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print(f"ERROR: {a} >= {b} -> {result}, expected {expected}")
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if errors == 0:
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print("All 4 test cases passed!")
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print(f"Magnitude: {sum(t.abs().sum().item() for t in weights.values()):.0f}")
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import torch
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from safetensors.torch import save_file
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# a >= b is equivalent to a - b >= 0
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weights = {
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'neuron.weight': torch.tensor([[1.0, -1.0]], dtype=torch.float32),
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'neuron.bias': torch.tensor([0.0], dtype=torch.float32)
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}
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save_file(weights, 'model.safetensors')
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def gte(a, b):
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inp = torch.tensor([float(a), float(b)])
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return int((inp @ weights['neuron.weight'].T + weights['neuron.bias'] >= 0).item())
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print("Verifying greaterthanorequal...")
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errors = 0
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for a in [0, 1]:
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for b in [0, 1]:
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result = gte(a, b)
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expected = 1 if a >= b else 0
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if result != expected:
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errors += 1
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print(f"ERROR: {a} >= {b} -> {result}, expected {expected}")
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if errors == 0:
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print("All 4 test cases passed!")
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print(f"Magnitude: {sum(t.abs().sum().item() for t in weights.values()):.0f}")
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model.py
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import torch
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from safetensors.torch import load_file
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def load_model(path='model.safetensors'):
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return load_file(path)
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def gte(a, b, weights):
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inp = torch.tensor([float(a), float(b)])
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return int((inp @ weights['neuron.weight'].T + weights['neuron.bias'] >= 0).item())
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if __name__ == '__main__':
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w = load_model()
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print('greaterthanorequal truth table:')
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for a in [0, 1]:
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for b in [0, 1]:
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print(f' {a} >= {b} -> {gte(a, b, w)}')
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import torch
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from safetensors.torch import load_file
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def load_model(path='model.safetensors'):
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return load_file(path)
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def gte(a, b, weights):
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inp = torch.tensor([float(a), float(b)])
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return int((inp @ weights['neuron.weight'].T + weights['neuron.bias'] >= 0).item())
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if __name__ == '__main__':
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w = load_model()
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print('greaterthanorequal truth table:')
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for a in [0, 1]:
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for b in [0, 1]:
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print(f' {a} >= {b} -> {gte(a, b, w)}')
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