threshold-4outof6 – AI Model by phanerozoic | AlphaNeural AI

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phanerozoic/
threshold-4outof6

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threshold-4outof6

At-least-4-of-6 threshold gate. Fires when 4 or more of the 6 inputs are high.

Function

4outof6(x0, x1, x2, x3, x4, x5) = 1 if (x0 + x1 + x2 + x3 + x4 + x5) >= 4

Truth Table (selected)

Hamming Weight	Output
0	0
1	0
2	0
3	0
4	1
5	1
6	1

Mechanism

Single threshold neuron with uniform weights. The bias of -4 sets the firing threshold:

Sum = (number of 1s) + (-4)
Fires when sum >= 0, i.e., when Hamming weight >= 4

k-out-of-6 Family

Circuit	Bias	Fires when
1-out-of-6	-1	HW >= 1
2-out-of-6	-2	HW >= 2
3-out-of-6	-3	HW >= 3 (majority)
4-out-of-6	-4	HW >= 4
5-out-of-6	-5	HW >= 5
6-out-of-6	-6	HW = 6 (AND)

Parameters


Weights	[1, 1, 1, 1, 1, 1]
Bias	-4
Inputs	6
Outputs	1
Neurons	1
Layers	1
Parameters	7
Magnitude	10

Usage

python

from safetensors.torch import load_file
import torch

w = load_file('model.safetensors')

def at_least_4_of_6(bits):
    inputs = torch.tensor([float(b) for b in bits])
    return int((inputs @ w['neuron.weight'].T + w['neuron.bias'] >= 0).item())

print(at_least_4_of_6([1, 1, 1, 1, 0, 0, 0]))  # 0 or 1 depending on k

License

MIT