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

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