metadata
license: mit
tags:
- pytorch
- safetensors
- threshold-logic
- neuromorphic
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