generated from LufsX/Experiment-kNN
146 lines
4.3 KiB
Python
146 lines
4.3 KiB
Python
# function.py
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import numpy as np
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import os
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from scipy.spatial.distance import mahalanobis
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"""
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实验说明:
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- 自行编写实现数据加载与 kNN 的手写数字分类算法。
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- 函数输入: 待分类的样本 input_vector, 训练数据集 dataSet, 训练集对应的标签 labels。
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- 函数返回: 预测的分类标签。
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注意事项:
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- 在 function.py 中实现 kNN 分类算法。
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- 可以自行导入其他库，需要在 requirements.txt 添加依赖，若未在 requirements.txt 中添加使用到的依赖，则无法自动评测，成绩为零。
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- 自动评测脚本仅会加载 classify 和 load_data 函数，请勿修改函数名。
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- 训练集和测试集需手动下载解压，并放入当前目录下。
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测评环境:
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- CPU: Intel Xeon(R) CPU E3-1231 v3 @ 3.40GHz
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- OS: Ubuntu 22.04.4 LTS
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- Python: 3.10.12
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- numpy: 2.1.1
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"""
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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 = "202210423111"
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name = "李劲"
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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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python
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复制代码
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def classify(input_vector, dataSet, labels, k=3):
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cov_matrix = np.cov(dataSet, rowvar=False)
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inv_cov_matrix = np.linalg.inv(cov_matrix)
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diffMat = dataSet - input_vector
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left_term = np.dot(diffMat, inv_cov_matrix)
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mahalanobis_distances = np.sqrt(np.sum(left_term * diffMat, axis=1))
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k_indices = np.argsort(mahalanobis_distances)[:k]
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k_nearest_labels = [labels[i] for i in k_indices]
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most_common = max(set(k_nearest_labels), key=k_nearest_labels.count)
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return most_common
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python
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复制代码
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def load_dataset(directory):
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features = []
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labels = []
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for filename in os.listdir(directory):
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if filename.endswith(".txt"):
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filepath = os.path.join(directory, filename)
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label = int(filename.split('_')[0])
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image_vector = img_to_vector(filepath)
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features.append(image_vector)
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labels.append(label)
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return np.array(features), np.array(labels)
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python
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复制代码
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def img_to_vector(filename):
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with open(filename) as file:
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lines = file.readlines()
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image_vector = np.array([int(char) for line in lines for char in line.strip()])
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return image_vector
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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}") |