threshold-xor4

4-input XOR gate. Cascade of three standard XOR circuits (OR + NAND + AND).

Architecture

a  b       c       d
│  │       │       │
└──┴──┐    │       │
      ▼    │       │
   ┌─────┐ │       │
   │ XOR │ │       │
   └──┬──┘ │       │
      └──┬─┘       │
         ▼         │
      ┌─────┐      │
      │ XOR │      │
      └──┬──┘      │
         └────┬────┘
              ▼
           ┌─────┐
           │ XOR │
           └──┬──┘
              ▼
        XOR4(a,b,c,d)

Each XOR uses the standard OR + NAND + AND structure:

• OR: w=[1,1], b=-1 (magnitude 3)
• NAND: w=[-1,-1], b=1 (magnitude 3)
• AND: w=[1,1], b=-2 (magnitude 4)

Parameters

Neurons	9
Layers	6
Parameters	27
Magnitude	30

Optimized Version

See threshold-xor4-mag21 for a 30% magnitude reduction using optimized XOR blocks.

Usage

from safetensors.torch import load_file

w = load_file('model.safetensors')
# See model.py for implementation

License

MIT