generated from LufsX/Challenge-kNN
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-2
@@ -25,8 +25,8 @@ import numpy as np
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"""
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请在这里填写学号和姓名,不填写即成绩无效。
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"""
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id = "202210423xxx"
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name = "test_name"
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id = "202210423230"
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name = "尹家立"
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"""
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@@ -53,6 +53,30 @@ def classify0(inX, dataSet, labels, k=0):
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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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# Step 1: 计算协方差矩阵的逆矩阵
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covMat = np.cov(dataSet, rowvar=False) # 计算协方差矩阵
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invCovMat = np.linalg.inv(covMat) # 计算协方差矩阵的逆
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# Step 2: 计算马氏距离
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diffMat = dataSet - inX # 计算差值矩阵
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left = np.dot(diffMat, invCovMat) # 左乘协方差矩阵的逆
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mahalanobisDist = np.sqrt(np.sum(left * diffMat, axis=1)) # 计算马氏距离
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# Step 3: 按距离排序,得到索引
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sortedDistIndices = mahalanobisDist.argsort()
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# Step 4: 选择距离最近的 k 个点的标签,并采用权重投票
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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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distance = mahalanobisDist[sortedDistIndices[i]]
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weight = 1 / (distance + 1e-5) # 距离越小权重越大,防止除零
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classCount[voteLabel] = classCount.get(voteLabel, 0) + weight
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# Step 5: 按照加权后的类别得票数排序并返回得票最多的类别
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sortedClassCount = sorted(classCount.items(), key=lambda item: item[1], reverse=True)
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return sortedClassCount[0][0]
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def load_data(file_path):
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