phanerozoic / threshold-majority

threshold-majority

Strict majority detector for 8 inputs. Fires when more than half are active.

Circuit

  x₀ x₁ x₂ x₃ x₄ x₅ x₆ x₇
   │  │  │  │  │  │  │  │
   └──┴──┴──┴──┼──┴──┴──┴──┘
               ▼
          ┌─────────┐
          │ w: all 1│
          │ b:  -5  │
          └─────────┘
               │
               ▼
           HW ≥ 5?

Mechanism

• Sum = (number of 1s) - 5
• Fires when Hamming weight ≥ 5 (more 1s than 0s)

A tie (4-4) doesn't count as majority. You need strictly more than half.

Functionally identical to threshold-5outof8.

Duality with Minority

Majority: "enough votes to pass" Minority: "not enough votes to block"

These are not complements (they don't sum to 1). The gap at HW=4 belongs to neither.

Parameters

Usage

from safetensors.torch import load_file
import torch

w = load_file('model.safetensors')

def majority(bits):
    inputs = torch.tensor([float(b) for b in bits])
    return int((inputs * w['weight']).sum() + w['bias'] >= 0)

Files

threshold-majority/
├── model.safetensors
├── model.py
├── config.json
└── README.md

License

MIT