threshold-xor4-mag21

4-input XOR using cascade architecture with mag-7 XOR blocks.

Note: A flat architecture may achieve lower magnitude. Architecture search not yet performed.

Architecture

a  b       c       d
│  │       │       │
└──┴──┐    │       │
      ▼    │       │
   ┌─────┐ │       │
   │XOR-7│ │       │
   └──┬──┘ │       │
      └──┬─┘       │
         ▼         │
      ┌─────┐      │
      │XOR-7│      │
      └──┬──┘      │
         └────┬────┘
              ▼
           ┌─────┐
           │XOR-7│
           └──┬──┘
              ▼
        XOR4(a,b,c,d)

Parameters

Neurons	9 (3 per XOR)
Layers	6
Parameters	27
Magnitude	21 (3 × 7)

Comparison

Version	Magnitude	Architecture
xor4 (base)	30	Cascade, original XOR
xor4-mag21	21	Cascade, mag-7 XOR

Usage

from safetensors.torch import load_file

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

License

MIT