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JeremyLinux avatar JeremyLinux commented on July 24, 2024

The approximate equivalent of a neural network with one hidden layer would be something like this. One hidden (rbf) layer and then a linear output layer.

import torch.nn as nn
import torch_rbf as rbf

class MyRBFNetwork(nn.Module):

    def __init__(self, n_feature, n_hidden, n_output):
        super(MyRBFNetwork, self).__init__()
        self.hidden = rbf.RBF(n_input, n_hidden, rbf.gaussian)
        self.predict = nn.Linear(n_hidden, n_output)
    
    def forward(self, x):
        x = self.hidden(x)
        x = self.predict(x)
        return x

You could replace rbf.gaussian with one of {rbf.linear, rbf.quadratic, rbf.inverse_quadratic, rbf.multiquadric, rbf.inverse_multiquadric, rbf.spline, rbf.poisson_one, rbf.poisson_two, rbf.matern32, rbf.matern52}, although rbf.gaussian usually works well. Alternatively, you could define your own function and use that instead of rbf.gaussian, e.g.

def my_func(x):
    y = some_element_wise_function(x)
    # e.g. y = torch.exp(-x)
    return y

The hidden layer would then be instantiated as follows.

self.hidden = rbf.RBF(n_input, n_hidden, my_func)

I hope this helps.

from pytorch-radial-basis-function-layer.

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