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license: mit
tags:
- pytorch
- safetensors
- threshold-logic
- neuromorphic
---
# threshold-2outof8
At-least-two detector for 8 inputs. Fires when 2 or more bits are set.
## Circuit
```
x₀ x₁ x₂ x₃ x₄ x₅ x₆ x₇
│ │ │ │ │ │ │ │
└──┴──┴──┴──┼──┴──┴──┴──┘
▼
┌─────────┐
│ w: all 1│
│ b: -2 │
└─────────┘
│
▼
HW ≥ 2
```
## Mechanism
- Sum = (number of 1s) - 2
- Fires when Hamming weight ≥ 2
A single active input isn't enough. Needs corroboration from at least one other.
## k-out-of-8 Family
| Circuit | Bias | Fires when |
|---------|------|------------|
| 1-out-of-8 | -1 | HW ≥ 1 |
| **2-out-of-8** | **-2** | **HW ≥ 2 (this)** |
| 3-out-of-8 | -3 | HW ≥ 3 |
| ... | ... | ... |
All share weights [1,1,1,1,1,1,1,1]. Only the bias differs.
## Parameters
| | |
|---|---|
| Weights | [1, 1, 1, 1, 1, 1, 1, 1] |
| Bias | -2 |
| Total | 9 parameters |
## Usage
```python
from safetensors.torch import load_file
import torch
w = load_file('model.safetensors')
def at_least_2(bits):
inputs = torch.tensor([float(b) for b in bits])
return int((inputs * w['weight']).sum() + w['bias'] >= 0)
```
## Files
```
threshold-2outof8/
├── model.safetensors
├── model.py
├── config.json
└── README.md
```
## License
MIT
|