class RNN: def init(self, input_size, hidden_size, output_size): self.input_size = input_size self.hidden_size = hidden_size self.output_size = output_size # 初始化参数 self.Wxh = np.random.randn(hidden_size, input_size) * 0.01 # 输入层到隐藏层的权重矩阵 self.Whh = np.random.randn(hidden_size, hidden_size) * 0.01 # 隐藏层到隐藏层的权重矩阵 self.Why = np.random.randn(output_size, hidden_size) * 0.01 # 隐藏层到输出层的权重矩阵 self.bh = np.zeros((hidden_size, 1)) # 隐藏层偏置 self.by = np.zeros((output_size, 1)) # 输出层偏置 # 初始化隐藏状态 self.h = np.zeros((hidden_size, 1)) def forward(self, x): # 更新隐藏状态 self.h = np.tanh(np.dot(self.Wxh, x) + np.dot(self.Whh, self.h) + self.bh) # 计算输出 y = np.dot(self.Why, self.h) + self.by # 返回输出和隐藏状态 return y, self.h def backward(self, x, y, target, learning_rate): # 计算输出误差 dy = y - target # 计算隐藏状态误差 dh = np.dot(self.Why.T, dy) * (1 - self.h ** 2) # 计算权重和偏置的梯度 dWhy = np.dot(dy, self.h.T) dby = np.sum(dy, axis=1, keepdims=True) dWxh = np.dot(dh, x.T) dWhh = np.dot(dh, self.h.T) dbh = np.sum(dh, axis=1, keepdims=True) # 更新权重和偏置 self.Why -= learning_rate * dWhy self.by -= learning_rate * dby self.Wxh -= learning_rate * dWxh self.Whh -= learning_rate * dWhh self.bh -= learning_rate * dbh 帮写一下用online_shopping_10_cats数据集训练以上模型train函数以及test函数

好的，这里是使用online_shopping_10_cats数据集训练以上模型的train函数以及test函数：

import numpy as np
import pandas as pd
import string
from nltk.corpus import stopwords
from nltk.tokenize import word_tokenize
from sklearn.model_selection import train_test_split

# 加载数据集
df = pd.read_csv("online_shopping_10_cats.csv")
df = df[["Review Text", "Cat1"]]
df = df.dropna()

# 数据预处理
stop_words = set(stopwords.words('english') + list(string.punctuation))

def preprocess_text(text):
    tokens = word_tokenize(text.lower())
    tokens = [t for t in tokens if t not in stop_words]
    return " ".join(tokens)

df["Review Text"] = df["Review Text"].apply(preprocess_text)

# 划分训练集和测试集
train_texts, test_texts, train_labels, test_labels = train_test_split(df["Review Text"], df["Cat1"], test_size=0.2)

# 构建词典
word_to_index = {}
index_to_word = {}
for i, word in enumerate(set(" ".join(train_texts).split())):
    word_to_index[word] = i
    index_to_word[i] = word

# 将文本转换为数字序列
def text_to_sequence(text):
    seq = []
    for word in text.split():
        seq.append(word_to_index[word])
    return seq

train_sequences = [text_to_sequence(text) for text in train_texts]
test_sequences = [text_to_sequence(text) for text in test_texts]

# 将标签转换为数字
label_to_index = {}
index_to_label = {}
for i, label in enumerate(set(train_labels)):
    label_to_index[label] = i
    index_to_label[i] = label

train_labels = [label_to_index[label] for label in train_labels]
test_labels = [label_to_index[label] for label in test_labels]

# 定义 RNN 模型
class RNN:
    def __init__(self, input_size, hidden_size, output_size):
        self.input_size = input_size
        self.hidden_size = hidden_size
        self.output_size = output_size
        
        # 初始化参数
        self.Wxh = np.random.randn(hidden_size, input_size) * 0.01  # 输入层到隐藏层的权重矩阵
        self.Whh = np.random.randn(hidden_size, hidden_size) * 0.01  # 隐藏层到隐藏层的权重矩阵
        self.Why = np.random.randn(output_size, hidden_size) * 0.01  # 隐藏层到输出层的权重矩阵
        self.bh = np.zeros((hidden_size, 1))  # 隐藏层偏置
        self.by = np.zeros((output_size, 1))  # 输出层偏置
        
        # 初始化隐藏状态
        self.h = np.zeros((hidden_size, 1))
    
    def forward(self, x):
        # 更新隐藏状态
        self.h = np.tanh(np.dot(self.Wxh, x) + np.dot(self.Whh, self.h) + self.bh)
        
        # 计算输出
        y = np.dot(self.Why, self.h) + self.by
        
        # 返回输出和隐藏状态
        return y, self.h
    
    def backward(self, x, y, target, learning_rate):
        # 计算输出误差
        dy = y - target
        
        # 计算隐藏状态误差
        dh = np.dot(self.Why.T, dy) * (1 - self.h ** 2)
        
        # 计算权重和偏置的梯度
        dWhy = np.dot(dy, self.h.T)
        dby = np.sum(dy, axis=1, keepdims=True)
        dWxh = np.dot(dh, x.T)
        dWhh = np.dot(dh, self.h.T)
        dbh = np.sum(dh, axis=1, keepdims=True)
        
        # 更新权重和偏置
        self.Why -= learning_rate * dWhy
        self.by -= learning_rate * dby
        self.Wxh -= learning_rate * dWxh
        self.Whh -= learning_rate * dWhh
        self.bh -= learning_rate * dbh

# 训练函数
def train(model, sequences, labels, learning_rate, epochs):
    for epoch in range(epochs):
        loss = 0
        
        for i in range(len(sequences)):
            # 将输入和输出转换为 one-hot 编码
            x = np.zeros((len(sequences[i]), model.input_size))
            for j, index in enumerate(sequences[i]):
                x[j, index] = 1
            
            y = np.zeros((model.output_size, 1))
            y[labels[i]] = 1
            
            # 前向传播
            output, hidden = model.forward(x.T)
            
            # 计算损失
            loss += np.sum((output - y) ** 2)
            
            # 反向传播
            model.backward(x.T, output, y, learning_rate)
        
        # 输出每个 epoch 的损失
        print("Epoch {}/{} loss: {}".format(epoch + 1, epochs, loss / len(sequences)))

# 测试函数
def test(model, sequences, labels):
    correct = 0
    
    for i in range(len(sequences)):
        # 将输入转换为 one-hot 编码
        x = np.zeros((len(sequences[i]), model.input_size))
        for j, index in enumerate(sequences[i]):
            x[j, index] = 1
        
        # 前向传播
        output, hidden = model.forward(x.T)
        
        # 获取预测结果
        prediction = np.argmax(output)
        
        # 更新正确预测的数量
        if prediction == labels[i]:
            correct += 1
    
    # 输出准确率
    accuracy = correct / len(sequences)
    print("Accuracy: {}".format(accuracy))

# 实例化 RNN 模型
input_size = len(word_to_index)
hidden_size = 64
output_size = len(label_to_index)
model = RNN(input_size, hidden_size, output_size)

# 训练模型
learning_rate = 0.01
epochs = 10
train(model, train_sequences, train_labels, learning_rate, epochs)

# 测试模型
test(model, test_sequences, test_labels)

在训练模型时，我们使用了 online_shopping_10_cats 数据集，并对数据进行了预处理、划分训练集和测试集、构建词典等操作。在训练过程中，我们使用了前向传播和反向传播算法来更新模型的权重和偏置，并输出了每个 epoch 的损失。在测试模型时，我们使用了测试集，计算出了模型的准确率。