threshold-2outof3

At least 2 of 3 inputs high. Equivalent to 3-input majority function.

Function

2outof3(a, b, c) = 1 if (a + b + c) >= 2, else 0

Equivalently: MAJORITY(a, b, c)

Truth Table

a	b	c	sum	out
0	0	0	0	0
0	0	1	1	0
0	1	0	1	0
0	1	1	2	1
1	0	0	1	0
1	0	1	2	1
1	1	0	2	1
1	1	1	3	1

Architecture

Single neuron: weights [1, 1, 1], bias -2

Fires when: a + b + c - 2 >= 0, i.e., sum >= 2

Parameters

Inputs	3
Outputs	1
Neurons	1
Layers	1
Parameters	4
Magnitude	5

Usage

from safetensors.torch import load_file
import torch

w = load_file('model.safetensors')

def atleast2of3(a, b, c):
    inp = torch.tensor([float(a), float(b), float(c)])
    return int((inp @ w['neuron.weight'].T + w['neuron.bias'] >= 0).item())

print(atleast2of3(0, 1, 0))  # 0 (sum=1)
print(atleast2of3(0, 1, 1))  # 1 (sum=2)

License

MIT