import numpy as np import os from scipy.spatial.distance import mahalanobis from collections import Counter # 学号和姓名 id = "202210423111" name = "" def classify(input_vector, dataSet, labels, k=1): """ KNN 分类算法,使用马氏距离。 """ # 计算协方差矩阵及其逆 cov_matrix = np.cov(dataSet.T) if np.linalg.det(cov_matrix) == 0: # 检查奇异矩阵 cov_matrix += np.eye(cov_matrix.shape[0]) * 1e-8 # 添加正则化 inv_cov_matrix = np.linalg.inv(cov_matrix) # 计算马氏距离 distances = [mahalanobis(input_vector, point, inv_cov_matrix) for point in dataSet] # 获取距离最近的 k 个样本的索引 k_indices = np.argsort(distances)[:k] # 获取最近邻样本的标签 k_nearest_labels = [labels[i] for i in k_indices] # 找出出现次数最多的标签 most_common = Counter(k_nearest_labels).most_common(1)[0][0] return most_common def load_dataset(directory): """ 从文件夹中加载数据。 """ features = [] labels = [] # 遍历文件夹中的所有文件 for filename in os.listdir(directory): if filename.endswith(".txt"): # 假设文件是 .txt 格式 filepath = os.path.join(directory, filename) try: label = int(filename.split('_')[0]) image_vector = img_to_vector(filepath) features.append(image_vector) labels.append(label) except Exception as e: print(f"Error processing file {filepath}: {e}") return np.array(features), np.array(labels) def img_to_vector(filename): """ 将二值图像转换为向量。 """ try: with open(filename) as file: lines = file.readlines() image_vector = np.array([int(char) for line in lines for char in line.strip()]) return image_vector except Exception as e: print(f"Error reading file {filename}: {e}") return np.zeros(1024) # 假设有一个预期的向量长度,此处设为1024 if __name__ == "__main__": # 测试 train_data, train_labels = load_dataset("trainingDigits") test_data = ( "00000000000000110000000000000000" # ... (省略的测试数据) ) predicted_label = classify( np.array([int(char) for char in test_data]).reshape(1, 1024), train_data, train_labels, ) print(f"预测的标签: {predicted_label}")