generated from LufsX/Experiment-kNN
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-65
@@ -27,85 +27,129 @@ import os
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"""
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id = "202210423122"
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name = "焦国波"
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参数说明:
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- input_vector (numpy array): 输入待分类的样本。
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- dataSet (numpy array): 训练数据集。
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- labels (list or numpy array): 训练集对应的标签。
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- k (int): kNN 算法参数,请**自行设置默认值**,评测时仅会使用其默认值,不修改默认值将**无法通过**评测,**成绩为零**。
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返回值:
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- int: 预测的分类标签。
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"""
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def load_data(directory):
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"""
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加载数据集,将图像数据转换为向量形式,并提取标签。
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参数:
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- directory (str): 数据集目录路径。
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返回值:
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- images (numpy array): 图像数据。
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- labels (list): 标签列表。
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"""
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images = []
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labels = []
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for filename in os.listdir(directory):
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if filename.endswith(".png"):
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label = int(filename.split('_')[0])
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image = np.array([int(pixel) for pixel in open(os.path.join(directory, filename), 'rb').read()])
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images.append(image)
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labels.append(label)
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return np.array(images), np.array(labels)
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def classify(input_vector, dataSet, labels, k=3):
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"""
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kNN 分类算法实现。
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参数:
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KNN 分类算法。
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Args:
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- input_vector (numpy array): 输入待分类的样本。
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- dataSet (numpy array): 训练数据集。
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- labels (list or numpy array): 训练集对应的标签。
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- k (int): kNN 算法参数,默认值为 3。
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返回值:
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- k (int): kNN 算法参数,默认设置为3。
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Returns:
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- int: 预测的分类标签。
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"""
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# 计算输入向量与数据集中每个样本的欧式距离
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distances = np.sqrt(np.sum((dataSet - input_vector) ** 2, axis=1))
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# 计算输入向量与训练集样本的欧氏距离
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distances = np.linalg.norm(dataSet - input_vector, axis=1)
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# 按距离排序并获取前k个距离最小的索引
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sorted_indices = distances.argsort()[:k]
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# 统计前k个邻居的标签
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nearest_labels = [labels[i] for i in sorted_indices]
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# 返回出现次数最多的标签
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predicted_label = max(set(nearest_labels), key=nearest_labels.count)
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return predicted_label
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def load_dataset(directory):
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"""
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从文件夹中加载数据,若不自行正确实现,则无法通过评测,**不记录成绩**。
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Args:
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- directory (str): 数据文件夹路径。
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Returns:
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- np.array: 特征数据矩阵。
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- np.array: 标签数组。
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"""
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file_list = os.listdir(directory)
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num_files = len(file_list)
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# 获取 k 个最近邻的索引
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sortedDistIndices = distances.argsort()
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# 初始化数据矩阵和标签数组
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data_matrix = np.zeros((num_files, 1024))
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labels = []
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# 获取 k 个最近邻的标签
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classCount = {}
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for i in range(k):
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voteLabel = labels[sortedDistIndices[i]]
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classCount[voteLabel] = classCount.get(voteLabel, 0) + 1
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for i, file_name in enumerate(file_list):
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# 文件名格式:label_index.txt,例如 0_1.txt,标签为 0
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label = int(file_name.split('_')[0])
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labels.append(label)
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data_matrix[i, :] = img_to_vector(os.path.join(directory, file_name))
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# 多数表决,返回出现次数最多的标签
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sortedClassCount = sorted(classCount.items(), key=lambda x: x[1], reverse=True)
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return sortedClassCount[0][0]
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return data_matrix, np.array(labels)
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def img_to_vector(filename):
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"""
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将二值图像转换为向量。
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该部分应为 load_dataset 函数的辅助子函数,可单独在这里实现,也可直接集成至 load_dataset 函数中。
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Args:
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- filename (str): 图像文件路径。
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Returns:
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- np.array: 二值图像向量 (1x1024)。
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"""
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return_vector = np.zeros((1, 1024)) # 创建1x1024的零向量
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with open(filename) as file:
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for i in range(32): # 图像为32x32
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line_str = file.readline()
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for j in range(32):
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return_vector[0, 32 * i + j] = int(line_str[j]) # 转换为1x1024向量
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return return_vector
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# 以下代码用于测试和演示,实际使用时请删除或注释掉
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if __name__ == "__main__":
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# 加载训练集和测试集
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X_train, y_train = load_data('trainingDigits')
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X_test, y_test = load_data('testDigits')
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# 测试分类函数
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test_samples = X_test[:5]
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for sample in test_samples:
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predicted_label = classify(sample, X_train, y_train)
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print(f"Input Vector: {sample}, Predicted Label: {predicted_label}")
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# 测试代码示例,加载训练集并进行分类
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train_data, train_labels = load_dataset("trainingDigits")
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test_data = (
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"00000000000000110000000000000000"
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"00000000000011111000000000000000"
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"00000000000011111100000000000000"
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"00000000001111111110000000000000"
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"00000000001111111110000000000000"
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"00000000001111111100000000000000"
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"00000000011111111000000000000000"
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"00000000111111111000000000000000"
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"00000000111111110000000000000000"
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"00000000111111110000000000000000"
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"00000000111111110000000000000000"
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"00000000111111110000000000000000"
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"00000000111111100000000000000000"
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"00000001111111100000000000000000"
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"00000001111111100000000000000000"
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"00000001111111100000000000000000"
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"00000001111111111111000000000000"
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"00000001111111111111111000000000"
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"00000001111111111111111100000000"
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"00000011111111111111111110000000"
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"00000011111111111111111110000000"
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"00000001111111111111111110000000"
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"00000001111111111111111110000000"
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"00000000111111111100111111100000"
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"00000000111111111000111111100000"
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"00000000011111111001111111100000"
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"00000000011111111111111111000000"
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"00000000001111111111111111000000"
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"00000000000111111111111111000000"
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"00000000000011111111111100000000"
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"00000000000001111111110000000000"
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"00000000000000000111100000000000"
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)
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predicted_label = classify(
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np.array([int(char) for char in test_data]).reshape(1, 1024),
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train_data,
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train_labels,
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)
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# 将测试数据转换为向量
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test_vector = np.array([int(char) for char in test_data]).reshape(1, 1024)
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# 使用 kNN 进行分类
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predicted_label = classify(test_vector, train_data, train_labels)
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print(f"预测的标签: {predicted_label}")
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