threshold-1outof3

At least 1 of 3 inputs high. Equivalent to 3-input OR gate.

Function

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

Equivalently: OR(a, b, c)

Truth Table

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

Architecture

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

Fires when: a + b + c - 1 >= 0, i.e., sum >= 1

Parameters

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

Usage

from safetensors.torch import load_file
import torch

w = load_file('model.safetensors')

def atleast1of3(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(atleast1of3(0, 0, 0))  # 0
print(atleast1of3(0, 0, 1))  # 1

License

MIT

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