""" https://en.wikipedia.org/wiki/Self-organizing_map """ import math class SelfOrganizingMap: def get_winner(self, weights: list[list[float]], sample: list[int]) -> int: """ Compute the winning vector by Euclidean distance >>> SelfOrganizingMap().get_winner([[1, 2, 3], [4, 5, 6]], [1, 2, 3]) 1 """ d0 = 0.0 d1 = 0.0 for i in range(len(sample)): d0 += math.pow((sample[i] - weights[0][i]), 2) d1 += math.pow((sample[i] - weights[1][i]), 2) return 0 if d0 > d1 else 1 return 0 def update( self, weights: list[list[int | float]], sample: list[int], j: int, alpha: float ) -> list[list[int | float]]: """ Update the winning vector. >>> SelfOrganizingMap().update([[1, 2, 3], [4, 5, 6]], [1, 2, 3], 1, 0.1) [[1, 2, 3], [3.7, 4.7, 6]] """ for i in range(len(weights)): weights[j][i] += alpha * (sample[i] - weights[j][i]) return weights # Driver code def main() -> None: # Training Examples ( m, n ) training_samples = [[1, 1, 0, 0], [0, 0, 0, 1], [1, 0, 0, 0], [0, 0, 1, 1]] # weight initialization ( n, C ) weights = [[0.2, 0.6, 0.5, 0.9], [0.8, 0.4, 0.7, 0.3]] # training self_organizing_map = SelfOrganizingMap() epochs = 3 alpha = 0.5 for _ in range(epochs): for j in range(len(training_samples)): # training sample sample = training_samples[j] # Compute the winning vector winner = self_organizing_map.get_winner(weights, sample) # Update the winning vector weights = self_organizing_map.update(weights, sample, winner, alpha) # classify test sample sample = [0, 0, 0, 1] winner = self_organizing_map.get_winner(weights, sample) # results print(f"Clusters that the test sample belongs to : {winner}") print(f"Weights that have been trained : {weights}") # running the main() function if __name__ == "__main__": main()