| ---
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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-8to3encoder
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| 8-to-3 priority encoder. Outputs binary index of highest-priority set input.
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|
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| ## Function
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| encode(I7..I0) -> (Y2, Y1, Y0)
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|
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| Priority: I7 > I6 > I5 > I4 > I3 > I2 > I1 > I0
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|
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| ## Example Encodings
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| | Input | Highest | Output |
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| |-------|---------|--------|
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| | 10000000 | I7 | 111 (7) |
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| | 01000000 | I6 | 110 (6) |
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| | 00100000 | I5 | 101 (5) |
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| | 00010000 | I4 | 100 (4) |
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| | 00001000 | I3 | 011 (3) |
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| | 00000100 | I2 | 010 (2) |
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| | 00000010 | I1 | 001 (1) |
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| | 00000001 | I0 | 000 (0) |
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| | 11111111 | I7 | 111 (7) |
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|
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| ## Architecture
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| Single layer with 3 neurons using weighted priority:
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| | Output | Function | Weights [I7..I0] | Bias |
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| |--------|----------|------------------|------|
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| | Y2 | I7∨I6∨I5∨I4 | [1,1,1,1,0,0,0,0] | -1 |
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| | Y1 | Priority bit 1 | [16,16,-4,-4,1,1,0,0] | -1 |
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| | Y0 | Priority bit 0 | [128,-64,32,-16,8,-4,2,0] | -1 |
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| Y1 and Y0 use weighted dominance: higher-priority inputs have larger weights
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| that override lower-priority inputs through the threshold mechanism.
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|
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| ## Parameters
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|
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| | | |
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| |---|---|
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| | Inputs | 8 |
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| | Outputs | 3 |
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| | Neurons | 3 |
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| | Layers | 1 |
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| | Parameters | 27 |
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| | Magnitude | 303 |
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|
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| ## Usage
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|
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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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|
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| w = load_file('model.safetensors')
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|
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| def encode8to3(i7, i6, i5, i4, i3, i2, i1, i0):
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| inp = torch.tensor([float(i7), float(i6), float(i5), float(i4),
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| float(i3), float(i2), float(i1), float(i0)])
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| y2 = int((inp @ w['y2.weight'].T + w['y2.bias'] >= 0).item())
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| y1 = int((inp @ w['y1.weight'].T + w['y1.bias'] >= 0).item())
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| y0 = int((inp @ w['y0.weight'].T + w['y0.bias'] >= 0).item())
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| return y2, y1, y0
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|
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| # I5 is highest set bit
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| print(encode8to3(0, 0, 1, 0, 1, 0, 0, 0)) # (1, 0, 1) = 5
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| ```
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|
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| ## License
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| MIT
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|