generated from LufsX/Experiment-kNN
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# function.py
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import numpy as np
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import os
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from collections import Counter
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from collections import defaultdict
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import operator
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id = "202210423104"
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name = "张钦诚"
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"""
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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 classify(input_vector, dataSet, labels, k=5):
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"""
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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,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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Returns:
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- int: 预测的分类标签。
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"""
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# 计算欧式距离
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# 使用广播和向量化计算距离,避免循环
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distances = np.linalg.norm(dataSet - input_vector, axis=1)
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sortedDistIndices = distances.argsort()
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k_labels = [labels[i] for i in sortedDistIndices[:k]]
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count = Counter(k_labels)
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return count.most_common(1)[0][0]
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# 获取k个最近邻的索引
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sortedDistIndices = distances.argsort()[:k]
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# 获取k个最近邻的标签
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k_labels = [labels[i] for i in sortedDistIndices]
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# 获取k个最近邻的距离
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k_distances = distances[sortedDistIndices]
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# 加权多数表决:权重为1/(距离 + 1e-5) 避免除以零
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weight_dict = defaultdict(float)
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for label, dist in zip(k_labels, k_distances):
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weight = 1 / (dist + 1e-5)
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weight_dict[label] += weight
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# 排序权重并选择权重最大的类别
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sorted_weight = sorted(weight_dict.items(), key=operator.itemgetter(1), reverse=True)
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return sorted_weight[0][0]
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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。
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- np.array: 标签数据。
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"""
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labels = []
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files = os.listdir(directory)
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m = len(files)
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dataset = np.zeros((m, 1024))
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dataset = np.zeros((m, 1024), dtype=np.int8)
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for i, file in enumerate(files):
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filename = os.path.join(directory, file)
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dataset[i, :] = img_to_vector(filename)
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label = int(file.split('_')[0])
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labels.append(label)
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return dataset, 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。
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"""
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returnVect = np.zeros((1, 1024))
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with open(filename) as fr:
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returnVect = np.zeros((1024,), dtype=np.int8)
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with open(filename, 'r') as fr:
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for i in range(32):
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lineStr = fr.readline()
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lineStr = fr.readline().strip()
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for j in range(32):
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returnVect[0, 32*i + j] = int(lineStr[j])
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returnVect[32 * i + j] = int(lineStr[j])
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return returnVect
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if __name__ == "__main__":
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# 以下代码可用于测试,可自行随意修改
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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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print(f"预测的标签: {predicted_label}")
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