threshold-xor3

3-input XOR gate. Cascade of two standard XOR circuits (OR + NAND + AND).

Architecture

a  b           c
│  │           │
└──┴──┐        │
      ▼        │
   ┌─────┐     │
   │ XOR │     │
   └──┬──┘     │
      │        │
      └────┬───┘
           ▼
        ┌─────┐
        │ XOR │
        └──┬──┘
           ▼
      XOR3(a,b,c)

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	6
Layers	4
Parameters	18
Magnitude	20

Optimized Version

See threshold-xor3-mag14 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