| |
| """Generate LSTM notebook.""" |
|
|
| import nbformat as nbf |
|
|
| nb = nbf.v4.new_notebook() |
| nb.metadata = { |
| "kernelspec": {"display_name": "Python 3", "language": "python", "name": "python3"}, |
| "language_info": {"name": "python", "version": "3.12.0"}, |
| } |
|
|
| cells = [] |
| def md(s): cells.append(nbf.v4.new_markdown_cell(s)) |
| def code(s): cells.append(nbf.v4.new_code_cell(s)) |
|
|
| md("""\ |
| # LSTM: Long Short-Term Memory |
| |
| Hand-written gates for sentiment classification on IMDB. |
| """) |
|
|
| md("""\ |
| ## 背景 |
| |
| LSTM(Hochreiter & Schmidhuber, 1997)解决了 RNN 的长期依赖问题。 |
| 核心机制是**门控(gating)**——通过三个门控制信息流: |
| |
| - **输入门**:决定写入多少新信息到记忆 |
| - **遗忘门**:决定丢弃多少旧记忆 |
| - **输出门**:决定输出多少记忆 |
| |
| 相比 RNN,LSTM 的梯度可以通过**细胞状态**直接传播,缓解梯度消失。 |
| |
| > 本项目中的 LSTM 实现是**手写的**(不是用 `nn.LSTM`),每个门控公式显式写出。 |
| """) |
|
|
| md("""\ |
| ## 数学原理 |
| |
| ### LSTM 单元 |
| |
| $$\\begin{aligned} |
| f_t &= \\sigma(W_f \\cdot [h_{t-1}, x_t] + b_f) \\quad \\text{(遗忘门)} \\\\ |
| i_t &= \\sigma(W_i \\cdot [h_{t-1}, x_t] + b_i) \\quad \\text{(输入门)} \\\\ |
| \\tilde{c}_t &= \\tanh(W_c \\cdot [h_{t-1}, x_t] + b_c) \\quad \\text{(候选细胞)} \\\\ |
| c_t &= f_t \\odot c_{t-1} + i_t \\odot \\tilde{c}_t \\quad \\text{(细胞更新)} \\\\ |
| o_t &= \\sigma(W_o \\cdot [h_{t-1}, x_t] + b_o) \\quad \\text{(输出门)} \\\\ |
| h_t &= o_t \\odot \\tanh(c_t) \\quad \\text{(隐藏状态)} |
| \\end{aligned}$$ |
| |
| 取最后一步的隐藏状态 $h_T$ 经过全连接层做二分类(正/负面)。 |
| """) |
|
|
| md("""\ |
| ## 架构 |
| |
| ``` |
| Input (chars) → Embedding(128) → LSTM(128→128) → FC(128→2) → logits |
| ``` |
| |
| LSTM 内部每个时间步的手写门控逻辑见 `nlp/lstm/model.py`。 |
| """) |
|
|
| code("""\ |
| import torch |
| import torch.nn as nn |
| import torch.optim as optim |
| from torch.utils.data import DataLoader, Dataset |
| from datasets import load_dataset |
| |
| from nlp.bert.tokenizer import CharTokenizer |
| from nlp.lstm.model import LSTMSentiment |
| from utils.device import get_device |
| |
| device = get_device() |
| print(f"Device: {device}") |
| """) |
|
|
| code("""\ |
| # 数据加载 |
| tokenizer = CharTokenizer() |
| print(f"Vocabulary: {tokenizer.vocab_size}") |
| |
| ds_train = load_dataset("stanfordnlp/imdb", split="train") |
| ds_test = load_dataset("stanfordnlp/imdb", split="test") |
| |
| import random |
| indices = list(range(len(ds_train["text"]))) |
| random.shuffle(indices) |
| train_texts = [ds_train[i]["text"] for i in indices[:5000]] |
| train_labels = [ds_train[i]["label"] for i in indices[:5000]] |
| test_texts = ds_test["text"][:1000] |
| test_labels = ds_test["label"][:1000] |
| print(f"Train: {len(train_texts)} Test: {len(test_texts)}") |
| """) |
|
|
| code("""\ |
| class SentimentDataset(Dataset): |
| def __init__(self, texts, labels, tokenizer, max_len=128): |
| self.examples = [] |
| for text, label in zip(texts, labels): |
| tokens, mask = tokenizer.encode(text, max_len) |
| self.examples.append({ |
| "input_ids": torch.tensor(tokens, dtype=torch.long), |
| "labels": torch.tensor(label, dtype=torch.long), |
| }) |
| |
| def __len__(self): |
| return len(self.examples) |
| |
| def __getitem__(self, idx): |
| return self.examples[idx] |
| |
| train_dataset = SentimentDataset(train_texts, train_labels, tokenizer) |
| test_dataset = SentimentDataset(test_texts, test_labels, tokenizer) |
| train_loader = DataLoader(train_dataset, batch_size=64, shuffle=True) |
| test_loader = DataLoader(test_dataset, batch_size=64, shuffle=False) |
| """) |
|
|
| code("""\ |
| model = LSTMSentiment( |
| vocab_size=tokenizer.vocab_size, |
| embed_dim=128, hidden_size=128, num_layers=1, num_classes=2, |
| ).to(device) |
| print(f"Parameters: {sum(p.numel() for p in model.parameters()):,}") |
| """) |
|
|
| md("""\ |
| ## 训练 |
| |
| > ⏱ 预估耗时:**10 epoch × ~50s/epoch ≈ 8 分钟**(M4 Max, batch_size=64) |
| """) |
|
|
| code("""\ |
| NUM_EPOCHS = 10 |
| LR = 5e-4 |
| |
| criterion = nn.CrossEntropyLoss() |
| optimizer = optim.AdamW(model.parameters(), lr=LR) |
| |
| train_loss_hist, train_acc_hist, test_acc_hist = [], [], [] |
| |
| for epoch in range(1, NUM_EPOCHS + 1): |
| model.train() |
| train_loss = 0.0 |
| train_correct = train_total = 0 |
| |
| for batch in train_loader: |
| input_ids = batch["input_ids"].to(device) |
| labels = batch["labels"].to(device) |
| |
| optimizer.zero_grad() |
| logits = model(input_ids) |
| loss = criterion(logits, labels) |
| loss.backward() |
| optimizer.step() |
| |
| train_loss += loss.item() |
| _, pred = torch.max(logits, 1) |
| train_correct += (pred == labels).sum().item() |
| train_total += labels.size(0) |
| |
| model.eval() |
| test_correct = test_total = 0 |
| with torch.no_grad(): |
| for batch in test_loader: |
| input_ids = batch["input_ids"].to(device) |
| labels = batch["labels"].to(device) |
| logits = model(input_ids) |
| _, pred = torch.max(logits, 1) |
| test_correct += (pred == labels).sum().item() |
| test_total += labels.size(0) |
| |
| avg_loss = train_loss / len(train_loader) |
| train_acc = train_correct / train_total * 100 |
| test_acc = test_correct / test_total * 100 |
| train_loss_hist.append(avg_loss) |
| train_acc_hist.append(train_acc) |
| test_acc_hist.append(test_acc) |
| print(f"Epoch [{epoch:2d}/{NUM_EPOCHS}] Loss: {avg_loss:.4f} Train Acc: {train_acc:.1f}% Test Acc: {test_acc:.1f}%") |
| """) |
|
|
| md("""## Loss 曲线 & 准确率""") |
|
|
| code("""\ |
| import matplotlib.pyplot as plt |
| from utils.device import get_device |
| |
| fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 4)) |
| ax1.plot(train_loss_hist, marker='o') |
| ax1.set_xlabel("Epoch"); ax1.set_ylabel("Loss"); ax1.set_title("Training Loss"); ax1.grid(True) |
| |
| ax2.plot(train_acc_hist, label='train', marker='o') |
| ax2.plot(test_acc_hist, label='test', marker='o') |
| ax2.set_xlabel("Epoch"); ax2.set_ylabel("Accuracy (%)"); ax2.legend(); ax2.grid(True) |
| |
| plt.tight_layout(); plt.show() |
| """) |
|
|
| md("""\ |
| ## 思考题 |
| |
| 1. LSTM 的三个门分别控制什么信息流?没有哪个门会导致什么后果? |
| 2. LSTM 如何缓解梯度消失?对比 RNN 的梯度路径。 |
| 3. 字符级 vs 词级 tokenization 对情感分类的影响?为什么 LSTM 用字符级表现差? |
| 4. 把 LSTM 层数从 1 加到 2,准确率会提升吗?参数量增加多少? |
| """) |
|
|
| nb.cells = cells |
| out = "nlp/lstm/lstm.ipynb" |
| with open(out, "w") as f: |
| nbf.write(nb, f) |
| print(f"Generated {out}") |
|
|