From 0a55a1630cf394a943f4ea682dc4b1b46c1c5178 Mon Sep 17 00:00:00 2001 From: suesu1204 <169132783+suesu1204@users.noreply.github.com> Date: Mon, 26 May 2025 22:55:46 +0900 Subject: [PATCH 1/2] Add files via upload --- ...354\240\234(\352\260\234\353\205\220).pdf" | Bin 0 -> 4813283 bytes ...4\240\234(\354\275\224\353\223\234).ipynb" | 2016 +++++++++++++++++ 2 files changed, 2016 insertions(+) create mode 100644 "Week12_\354\230\210\354\212\265\352\263\274\354\240\234(\352\260\234\353\205\220).pdf" create mode 100644 "Week12_\354\230\210\354\212\265\352\263\274\354\240\234(\354\275\224\353\223\234).ipynb" diff --git "a/Week12_\354\230\210\354\212\265\352\263\274\354\240\234(\352\260\234\353\205\220).pdf" "b/Week12_\354\230\210\354\212\265\352\263\274\354\240\234(\352\260\234\353\205\220).pdf" new file mode 100644 index 0000000000000000000000000000000000000000..fccf08d63a13f3c0283d14f5d5469fb4538f27dc GIT binary patch literal 4813283 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This LICENSE AGREEMENT is between the Matplotlib Development Team\n", + "(\"MDT\"), and the Individual or Organization (\"Licensee\") accessing and\n", + "otherwise using matplotlib software in source or binary form and its\n", + "associated documentation.\n", + "\n", + "2. Subject to the terms and conditions of this License Agreement, MDT\n", + "hereby grants Licensee a nonexclusive, royalty-free, world-wide license\n", + "to reproduce, analyze, test, perform and/or display publicly, prepare\n", + "derivative works, distribute, and otherwise use matplotlib\n", + "alone or in any derivative version, provided, however, that MDT's\n", + "License Agreement and MDT's notice of copyright, i.e., \"Copyright (c)\n", + "2012- Matplotlib Development Team; All Rights Reserved\" are retained in\n", + "matplotlib alone or in any derivative version prepared by\n", + "Licensee.\n", + "\n", + "3. 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scipy, seaborn, statsmodels, streamlit, tables, tifffile, torchtext, torchvision, transformers, xarray, xgboost\n", + "Note: you may need to restart the kernel to use updated packages.\n" + ] + } + ], + "source": [ + "pip show torch matplotlib numpy" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "9933e313", + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.environ[\"KMP_DUPLICATE_LIB_OK\"] = \"TRUE\"" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "91f90b05", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "

    " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#1 위치 인코딩\n", + "\n", + "import math\n", + "import torch\n", + "from torch import nn\n", + "from matplotlib import pyplot as plt\n", + "\n", + "class PositionalEncoding(nn.Module): #입력 : 임베딩 차원(d_model), 최대 시퀀스(max_len)\n", + " def __init__(self, d_model, max_len, dropout=0.1):\n", + " super().__init__()\n", + " self.dropout = nn.Dropout(p=dropout)\n", + "\n", + " position = torch.arange(max_len).unsqueeze(1)\n", + " div_term = torch.exp(\n", + " torch.arange(0, d_model, 2) * (-math.log(10000.0) / d_model)\n", + " )\n", + "\n", + " pe = torch.zeros(max_len, 1, d_model)\n", + " pe[:, 0, 0::2] = torch.sin(position * div_term)\n", + " pe[:, 0, 1::2] = torch.cos(position * div_term)\n", + " self.register_buffer(\"pe\", pe)\n", + "\n", + " def forward(self, x):\n", + " x = x + self.pe[:x.size(0)]\n", + " return self.dropout(x)\n", + "\n", + "# 인코딩 시각화\n", + "encoding = PositionalEncoding(d_model=128, max_len=50)\n", + "plt.pcolormesh(encoding.pe.detach().numpy().squeeze(), cmap=\"RdBu\")\n", + "plt.xlabel(\"Embedding Dimension\")\n", + "plt.xlim((0, 128))\n", + "plt.ylabel(\"Position\")\n", + "plt.colorbar()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "213dd766", + "metadata": {}, + "source": [ + "# 실습" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "2f860b43", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Requirement already satisfied: spacy in d:\\anaconda\\lib\\site-packages (3.8.7)\n", + "Requirement already satisfied: spacy-legacy<3.1.0,>=3.0.11 in d:\\anaconda\\lib\\site-packages (from spacy) (3.0.12)\n", + "Requirement already satisfied: spacy-loggers<2.0.0,>=1.0.0 in d:\\anaconda\\lib\\site-packages (from spacy) (1.0.5)\n", + "Requirement already satisfied: murmurhash<1.1.0,>=0.28.0 in d:\\anaconda\\lib\\site-packages (from spacy) (1.0.13)\n", + "Requirement already satisfied: 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d:\\anaconda\\lib\\site-packages (from jinja2->spacy) (2.1.3)\n", + "Requirement already satisfied: marisa-trie>=1.1.0 in d:\\anaconda\\lib\\site-packages (from language-data>=1.2->langcodes<4.0.0,>=3.2.0->spacy) (1.2.1)\n", + "Using cached numpy-2.2.6-cp312-cp312-win_amd64.whl (12.6 MB)\n", + "Installing collected packages: numpy\n", + " Attempting uninstall: numpy\n", + " Found existing installation: numpy 1.26.4\n", + " Uninstalling numpy-1.26.4:\n", + " Successfully uninstalled numpy-1.26.4\n", + "Successfully installed numpy-2.2.6\n", + "Note: you may need to restart the kernel to use updated packages.\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "ERROR: pip's dependency resolver does not currently take into account all the packages that are installed. This behaviour is the source of the following dependency conflicts.\n", + "contourpy 1.2.0 requires numpy<2.0,>=1.20, but you have numpy 2.2.6 which is incompatible.\n", + "gensim 4.3.3 requires numpy<2.0,>=1.18.5, but you have numpy 2.2.6 which is incompatible.\n", + "numba 0.60.0 requires numpy<2.1,>=1.22, but you have numpy 2.2.6 which is incompatible.\n" + ] + } + ], + "source": [ + "pip install spacy" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "bd3f4c59", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Found existing installation: numpy 2.2.6\n", + "Uninstalling numpy-2.2.6:\n", + " Successfully uninstalled numpy-2.2.6\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING: Failed to remove contents in a temporary directory 'D:\\anaconda\\Lib\\site-packages\\~umpy.libs'.\n", + "You can safely remove it manually.\n", + "WARNING: Failed to remove contents in a temporary directory 'D:\\anaconda\\Lib\\site-packages\\~-mpy'.\n", + "You can safely remove it manually.\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Collecting numpy==1.26.4\n", + " Using cached numpy-1.26.4-cp312-cp312-win_amd64.whl.metadata (61 kB)\n", + "Using cached numpy-1.26.4-cp312-cp312-win_amd64.whl (15.5 MB)\n", + "Installing collected packages: numpy\n", + "Successfully installed numpy-1.26.4\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "ERROR: pip's dependency resolver does not currently take into account all the packages that are installed. This behaviour is the source of the following dependency conflicts.\n", + "thinc 8.3.6 requires numpy<3.0.0,>=2.0.0, but you have numpy 1.26.4 which is incompatible.\n" + ] + } + ], + "source": [ + "!pip uninstall numpy -y\n", + "!pip install numpy==1.26.4" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f4a15da5", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Collecting de-core-news-sm==3.8.0\n", + " Downloading https://github.com/explosion/spacy-models/releases/download/de_core_news_sm-3.8.0/de_core_news_sm-3.8.0-py3-none-any.whl (14.6 MB)\n", + " ---------------------------------------- 0.0/14.6 MB ? eta -:--:--\n", + " -- ------------------------------------- 1.0/14.6 MB 6.3 MB/s eta 0:00:03\n", + " ------ --------------------------------- 2.4/14.6 MB 6.1 MB/s eta 0:00:03\n", + " ---------- ----------------------------- 3.7/14.6 MB 5.9 MB/s eta 0:00:02\n", + " ------------- -------------------------- 5.0/14.6 MB 6.0 MB/s eta 0:00:02\n", + " ---------------- ----------------------- 6.0/14.6 MB 5.8 MB/s eta 0:00:02\n", + " -------------------- ------------------- 7.3/14.6 MB 5.9 MB/s eta 0:00:02\n", + " ----------------------- ---------------- 8.7/14.6 MB 5.8 MB/s eta 0:00:02\n", + " --------------------------- ------------ 10.0/14.6 MB 5.9 MB/s eta 0:00:01\n", + " ------------------------------ --------- 11.3/14.6 MB 5.9 MB/s eta 0:00:01\n", + " --------------------------------- ------ 12.3/14.6 MB 5.9 MB/s eta 0:00:01\n", + " ------------------------------------- -- 13.6/14.6 MB 5.9 MB/s eta 0:00:01\n", + " ---------------------------------------- 14.6/14.6 MB 5.8 MB/s eta 0:00:00\n", + "Installing collected packages: de-core-news-sm\n", + "Successfully installed de-core-news-sm-3.8.0\n", + "\u001b[38;5;2m✔ Download and installation successful\u001b[0m\n", + "You can now load the package via spacy.load('de_core_news_sm')\n", + "Collecting en-core-web-sm==3.8.0\n", + " Downloading https://github.com/explosion/spacy-models/releases/download/en_core_web_sm-3.8.0/en_core_web_sm-3.8.0-py3-none-any.whl (12.8 MB)\n", + " ---------------------------------------- 0.0/12.8 MB ? eta -:--:--\n", + " --- ------------------------------------ 1.0/12.8 MB 5.6 MB/s eta 0:00:03\n", + " ------- -------------------------------- 2.4/12.8 MB 5.8 MB/s eta 0:00:02\n", + " ----------- ---------------------------- 3.7/12.8 MB 5.9 MB/s eta 0:00:02\n", + " --------------- ------------------------ 5.0/12.8 MB 5.9 MB/s eta 0:00:02\n", + " ------------------- -------------------- 6.3/12.8 MB 6.0 MB/s eta 0:00:02\n", + " ----------------------- ---------------- 7.6/12.8 MB 5.9 MB/s eta 0:00:01\n", + " --------------------------- ------------ 8.9/12.8 MB 6.0 MB/s eta 0:00:01\n", + " ------------------------------- -------- 10.2/12.8 MB 6.0 MB/s eta 0:00:01\n", + " ------------------------------------ --- 11.5/12.8 MB 6.0 MB/s eta 0:00:01\n", + " --------------------------------------- 12.6/12.8 MB 6.0 MB/s eta 0:00:01\n", + " ---------------------------------------- 12.8/12.8 MB 5.9 MB/s eta 0:00:00\n", + "Installing collected packages: en-core-web-sm\n", + "Successfully installed en-core-web-sm-3.8.0\n", + "\u001b[38;5;2m✔ Download and installation successful\u001b[0m\n", + "You can now load the package via spacy.load('en_core_web_sm')\n" + ] + } + ], + "source": [ + "!python -m spacy download de_core_news_sm\n", + "!python -m spacy download en_core_web_sm" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "399c51f1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Token Transform:\n", + "{'de': functools.partial(, spacy=), 'en': functools.partial(, spacy=)}\n", + "Vocab Transform:\n", + "{'de': Vocab(), 'en': Vocab()}\n" + ] + } + ], + "source": [ + "#2 데이터세트 다운로드 및 전처리\n", + "\n", + "\n", + "from torchtext.datasets import Multi30k\n", + "from torchtext.data.utils import get_tokenizer\n", + "from torchtext.vocab import build_vocab_from_iterator\n", + "\n", + "def generate_tokens(text_iter, language):\n", + " language_index = {SRC_LANGUAGE: 0, TGT_LANGUAGE: 1}\n", + "\n", + " for text in text_iter:\n", + " yield token_transform[language](text[language_index[language]])\n", + "\n", + "SRC_LANGUAGE = \"de\"\n", + "TGT_LANGUAGE = \"en\"\n", + "\n", + "BOS_IDX = vocab_transform[TGT_LANGUAGE][\"\"]\n", + "EOS_IDX = vocab_transform[TGT_LANGUAGE][\"\"]\n", + "PAD_IDX = vocab_transform[TGT_LANGUAGE][\"\"]\n", + "UNK_IDX = vocab_transform[TGT_LANGUAGE][\"\"]\n", + "\n", + "special_symbols = [\"\", \"\", \"\", \"\"]\n", + "\n", + "token_transform = {\n", + " SRC_LANGUAGE: get_tokenizer(\"spacy\", language=\"de_core_news_sm\"),\n", + " TGT_LANGUAGE: get_tokenizer(\"spacy\", language=\"en_core_web_sm\"),\n", + "}\n", + "\n", + "print(\"Token Transform:\")\n", + "print(token_transform)\n", + "\n", + "vocab_transform = {}\n", + "for language in [SRC_LANGUAGE, TGT_LANGUAGE]:\n", + " train_iter = Multi30k(split=\"train\", language_pair=(SRC_LANGUAGE, TGT_LANGUAGE))\n", + " vocab_transform[language] = build_vocab_from_iterator(\n", + " generate_tokens(train_iter, language),\n", + " min_freq=1,\n", + " specials=special_symbols,\n", + " special_first=True,\n", + " )\n", + "\n", + "for language in [SRC_LANGUAGE, TGT_LANGUAGE]:\n", + " vocab_transform[language].set_default_index(UNK_IDX)\n", + "\n", + "print(\"Vocab Transform:\")\n", + "print(vocab_transform)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "d683b2a9", + "metadata": {}, + "outputs": [], + "source": [ + "#트랜스포머 모델 구성 \n", + "\n", + "import math\n", + "import torch\n", + "from torch import nn\n", + "\n", + "class PositionalEncoding(nn.Module):\n", + " def __init__(self, d_model, max_len, dropout=0.1):\n", + " super().__init__()\n", + " self.dropout = nn.Dropout(p=dropout)\n", + "\n", + " position = torch.arange(max_len).unsqueeze(1)\n", + " div_term = torch.exp(\n", + " torch.arange(0, d_model, 2) * (-math.log(10000.0) / d_model)\n", + " )\n", + " pe = torch.zeros(max_len, 1, d_model)\n", + " pe[:, 0, 0::2] = torch.sin(position * div_term)\n", + " pe[:, 0, 1::2] = torch.cos(position * div_term)\n", + " self.register_buffer(\"pe\", pe)\n", + "\n", + " def forward(self, x):\n", + " x = x + self.pe[:x.size(0)]\n", + " return self.dropout(x)\n", + "\n", + "class TokenEmbedding(nn.Module):\n", + " def __init__(self, vocab_size, emb_size):\n", + " super().__init__()\n", + " self.embedding = nn.Embedding(vocab_size, emb_size)\n", + " self.emb_size = emb_size\n", + "\n", + " def forward(self, tokens):\n", + " return self.embedding(tokens.long()) * math.sqrt(self.emb_size)\n", + "\n", + "class Seq2SeqTransformer(nn.Module):\n", + " def __init__(\n", + " self,\n", + " num_encoder_layers,\n", + " num_decoder_layers,\n", + " emb_size,\n", + " max_len,\n", + " nhead,\n", + " src_vocab_size,\n", + " tgt_vocab_size,\n", + " dim_feedforward,\n", + " dropout=0.1,\n", + " ):\n", + " super().__init__()\n", + " self.src_tok_emb = TokenEmbedding(src_vocab_size, emb_size)\n", + " self.tgt_tok_emb = TokenEmbedding(tgt_vocab_size, emb_size)\n", + " self.positional_encoding = PositionalEncoding(\n", + " d_model=emb_size, max_len=max_len, dropout=dropout\n", + " )\n", + "\n", + " self.transformer = nn.Transformer(\n", + " d_model=emb_size,\n", + " nhead=nhead,\n", + " num_encoder_layers=num_encoder_layers,\n", + " num_decoder_layers=num_decoder_layers,\n", + " dim_feedforward=dim_feedforward,\n", + " dropout=dropout,\n", + " )\n", + " self.generator = nn.Linear(emb_size, tgt_vocab_size)\n", + "\n", + " def forward(\n", + " self,\n", + " src,\n", + " trg,\n", + " src_mask,\n", + " tgt_mask,\n", + " src_padding_mask,\n", + " tgt_padding_mask,\n", + " memory_key_padding_mask,\n", + " ):\n", + " src_emb = self.positional_encoding(self.src_tok_emb(src))\n", + " tgt_emb = self.positional_encoding(self.tgt_tok_emb(trg))\n", + " outs = self.transformer(\n", + " src=src_emb,\n", + " tgt=tgt_emb,\n", + " src_mask=src_mask,\n", + " tgt_mask=tgt_mask,\n", + " memory_mask=None,\n", + " src_key_padding_mask=src_padding_mask,\n", + " tgt_key_padding_mask=tgt_padding_mask,\n", + " memory_key_padding_mask=memory_key_padding_mask,\n", + " )\n", + " return self.generator(outs)\n", + "\n", + " def encode(self, src, src_mask):\n", + " return self.transformer.encoder(\n", + " self.positional_encoding(self.src_tok_emb(src)), src_mask\n", + " )\n", + "\n", + " def decode(self, tgt, memory, tgt_mask):\n", + " return self.transformer.decoder(\n", + " self.positional_encoding(self.tgt_tok_emb(tgt)), memory, tgt_mask\n", + " )\n" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "1574c511", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "d:\\anaconda\\Lib\\site-packages\\torch\\nn\\modules\\transformer.py:286: UserWarning: enable_nested_tensor is True, but self.use_nested_tensor is False because encoder_layer.self_attn.batch_first was not True(use batch_first for better inference performance)\n", + " warnings.warn(f\"enable_nested_tensor is True, but self.use_nested_tensor is False because {why_not_sparsity_fast_path}\")\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "src_tok_emb\n", + "| embedding\n", + "tgt_tok_emb\n", + "| embedding\n", + "positional_encoding\n", + "| dropout\n", + "transformer\n", + "| encoder\n", + "| | layers\n", + "| | | 0\n", + "| | | 1\n", + "| | | 2\n", + "| | norm\n", + "| decoder\n", + "| | layers\n", + "| | | 0\n", + "| | | 1\n", + "| | | 2\n", + "| | norm\n", + "generator\n" + ] + } + ], + "source": [ + "#4 트랜스포머 모델 구조\n", + "\n", + "from torch import optim\n", + "\n", + "BATCH_SIZE = 32\n", + "DEVICE = \"cuda\" if torch.cuda.is_available() else \"cpu\"\n", + "\n", + "model = Seq2SeqTransformer(\n", + " num_encoder_layers=3,\n", + " num_decoder_layers=3,\n", + " emb_size=512,\n", + " max_len=512,\n", + " nhead=8,\n", + " src_vocab_size=len(vocab_transform[SRC_LANGUAGE]),\n", + " tgt_vocab_size=len(vocab_transform[TGT_LANGUAGE]),\n", + " dim_feedforward=512,\n", + ").to(DEVICE)\n", + "\n", + "criterion = nn.CrossEntropyLoss(ignore_index=PAD_IDX).to(DEVICE)\n", + "optimizer = optim.Adam(model.parameters())\n", + "\n", + "for main_name, main_module in model.named_children():\n", + " print(main_name)\n", + " for sub_name, sub_module in main_module.named_children():\n", + " print(\"| \", sub_name)\n", + " for ssub_name, ssub_module in sub_module.named_children():\n", + " print(\"| | \", ssub_name)\n", + " for sssub_name, sssub_module in ssub_module.named_children():\n", + " print(\"| | | \", sssub_name)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "f5dac554", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(source, target):\n", + "('Eine Gruppe von Männern lädt Baumwolle auf einen Lastwagen', 'A group of men are loading cotton onto a truck')\n", + "source_batch: torch.Size([30, 32])\n", + "tensor([[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n", + " 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n", + " 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n", + " 2, 2],\n", + " [ 14, 5, 5, 21, 5, 14, 5, 5, 5, 14,\n", + " 5, 14, 60, 14, 14, 60, 5, 14, 14, 60,\n", + " 5, 17, 5, 5, 303, 21, 5, 60, 14, 5,\n", + " 5, 14],\n", + " [ 38, 12, 35, 31, 12, 17, 175, 75, 12, 755,\n", + " 69, 68, 114, 17, 17, 54, 0, 38, 85, 27,\n", + " 1268, 9, 12, 706, 53, 123, 7835, 31, 68, 1428,\n", + " 180, 68],\n", + " [ 24, 281, 10, 957, 10, 7, 33, 35, 342, 17,\n", + " 50, 11, 67, 32, 40, 11, 12, 24, 17, 8,\n", + " 12, 12, 10, 27, 11, 59, 164, 77, 113, 1096,\n", + " 27, 551],\n", + " [ 243, 7, 1205, 18, 7190, 6, 127, 10, 7, 10,\n", + " 30, 6, 53, 63, 15, 74, 281, 54, 3489, 24,\n", + " 7, 77, 6, 10, 13, 22, 172, 11, 2915, 712,\n", + " 86, 19],\n", + " [ 2744, 6, 32, 420, 2328, 238, 26, 6, 6, 6,\n", + " 1006, 13620, 66, 177, 1412, 10377, 140, 30, 22, 360,\n", + " 6, 43, 455, 390, 564, 392, 6, 13, 43, 91,\n", + " 1006, 36],\n", + " [ 8680, 83, 11, 0, 8, 213, 72, 0, 3138, 7693,\n", + " 11, 338, 15, 0, 11, 9, 11, 28, 0, 45,\n", + " 72, 17401, 878, 108, 3, 120, 99, 36, 6, 34,\n", + " 58, 9],\n", + " [ 11, 245, 34, 11, 16, 8, 33, 620, 1021, 6950,\n", + " 6, 22, 7247, 11, 306, 6, 79, 13, 4929, 345,\n", + " 122, 3265, 9, 9, 1, 10, 50, 7, 80, 1823,\n", + " 20, 0],\n", + " [ 20, 11, 792, 6, 18, 19, 1072, 20, 3, 39,\n", + " 19011, 404, 2120, 6, 842, 2929, 272, 0, 23, 332,\n", + " 0, 10, 879, 490, 1, 6, 29, 34, 354, 13,\n", + " 155, 150],\n", + " [ 892, 6, 13, 0, 362, 18, 4, 1947, 1, 15,\n", + " 216, 4, 144, 3747, 4, 141, 4, 11, 3, 8,\n", + " 19, 15197, 150, 1929, 1, 465, 4, 638, 4, 14510,\n", + " 4, 19],\n", + " [ 3, 444, 17, 318, 3914, 3599, 3, 7, 1, 1299,\n", + " 4, 3, 4, 4, 3, 58, 3, 6, 1, 53,\n", + " 99, 1373, 10, 1046, 1, 320, 3, 4, 3, 4,\n", + " 3, 0],\n", + " [ 1, 4, 4, 11, 62, 55, 1, 381, 1, 3,\n", + " 3, 1, 3, 3, 1, 1126, 1, 628, 1, 7,\n", + " 54, 4, 12196, 11, 1, 4, 1, 3, 1, 3,\n", + " 1, 1110],\n", + " [ 1, 3, 3, 3, 8, 1626, 1, 45, 1, 1,\n", + " 1, 1, 1, 1, 1, 120, 1, 4, 1, 13,\n", + " 7, 3, 4, 6, 1, 3, 1, 1, 1, 1,\n", + " 1, 4],\n", + " [ 1, 1, 1, 1, 32, 0, 1, 5063, 1, 1,\n", + " 1, 1, 1, 1, 1, 4, 1, 3, 1, 343,\n", + " 13, 1, 3, 1876, 1, 1, 1, 1, 1, 1,\n", + " 1, 3],\n", + " [ 1, 1, 1, 1, 7, 932, 1, 1238, 1, 1,\n", + " 1, 1, 1, 1, 1, 3, 1, 1, 1, 36,\n", + " 723, 1, 1, 4, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 6, 7, 1, 4, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 9,\n", + " 4097, 1, 1, 3, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 115, 6, 1, 3, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 982,\n", + " 569, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 197, 47, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1559,\n", + " 4, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 4, 9883, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 4,\n", + " 3, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 3, 39, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 3,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 1, 8, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 1, 71, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 1, 91, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 1, 20, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 1, 4826, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 1, 7, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 1, 19, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 1, 95, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 1, 4, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 1, 3, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1]])\n", + "target_batch: torch.Size([27, 32])\n", + "tensor([[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n", + " 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n", + " 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n", + " 2, 2],\n", + " [ 6, 6, 6, 19, 6, 6, 6, 6, 6, 6,\n", + " 6, 6, 59, 6, 6, 59, 6, 6, 6, 59,\n", + " 6, 275, 6, 53, 736, 19, 6, 59, 6, 6,\n", + " 6, 6],\n", + " [ 39, 12, 35, 36, 1489, 128, 65, 25, 12, 136,\n", + " 25, 72, 25, 16, 193, 22, 1347, 39, 25, 110,\n", + " 2111, 11, 12, 141, 266, 117, 2043, 36, 72, 1121,\n", + " 25, 72],\n", + " [ 13, 383, 21, 412, 12, 7, 34, 35, 7, 16,\n", + " 58, 9, 73, 10, 38, 9, 1526, 13, 16, 513,\n", + " 12, 12, 7, 33, 37, 127, 157, 17, 10, 10,\n", + " 33, 1563],\n", + " [ 36, 7, 759, 50, 21, 4, 10, 21, 4, 7,\n", + " 10, 4, 104, 32, 4, 66, 12, 22, 10, 741,\n", + " 7, 42, 4, 7, 9, 14, 10, 42, 2232, 891,\n", + " 82, 8],\n", + " [ 17, 4, 96, 4, 4, 31, 82, 4, 2334, 4,\n", + " 37, 5964, 87, 48, 1414, 179, 10, 37, 298, 60,\n", + " 4, 174, 466, 4, 113, 28, 136, 9, 79, 179,\n", + " 48, 40],\n", + " [ 1667, 51, 9, 30, 31, 197, 390, 6675, 772, 3692,\n", + " 737, 7, 4, 45, 9, 43, 383, 7, 2919, 54,\n", + " 26, 253, 10, 51, 13, 91, 20, 4, 4, 18,\n", + " 1349, 11],\n", + " [ 2541, 189, 4, 272, 748, 15, 8, 503, 10, 321,\n", + " 9, 1145, 30, 4188, 45, 463, 9, 44, 7, 302,\n", + " 226, 395, 97, 68, 4, 227, 86, 147, 62, 953,\n", + " 7, 0],\n", + " [ 342, 9, 16, 382, 85, 46, 26, 777, 199, 113,\n", + " 88, 277, 11, 542, 713, 11, 27, 13, 8, 4,\n", + " 43, 367, 29, 11, 322, 7, 58, 7, 311, 3460,\n", + " 4, 8],\n", + " [ 4, 4, 106, 1923, 10, 4, 34, 4, 8, 94,\n", + " 5534, 5, 24, 622, 5, 54, 247, 4, 569, 425,\n", + " 23, 14, 1106, 508, 13, 422, 5, 8, 13, 50,\n", + " 120, 10269],\n", + " [ 282, 439, 893, 9, 32, 7769, 5, 195, 1768, 46,\n", + " 411, 3, 1491, 20, 3, 413, 354, 1923, 409, 29,\n", + " 37, 4, 4340, 10, 1302, 101, 3, 498, 47, 4,\n", + " 5, 13],\n", + " [ 3, 5, 5, 28, 7, 142, 3, 867, 3, 4,\n", + " 5, 1, 5, 28, 1, 43, 5, 7, 3, 257,\n", + " 329, 3477, 5, 1198, 5, 5, 1, 5, 5, 9909,\n", + " 3, 567],\n", + " [ 1, 3, 3, 5504, 4, 269, 1, 20, 1, 225,\n", + " 3, 1, 3, 57, 1, 2288, 3, 4, 1, 104,\n", + " 8, 207, 3, 616, 3, 3, 1, 3, 3, 114,\n", + " 1, 5],\n", + " [ 1, 1, 1, 79, 77, 3633, 1, 28, 1, 105,\n", + " 1, 1, 1, 292, 1, 17, 1, 592, 1, 7,\n", + " 93, 352, 1, 9, 1, 1, 1, 1, 1, 5,\n", + " 1, 3],\n", + " [ 1, 1, 1, 325, 184, 13, 1, 3609, 1, 3,\n", + " 1, 1, 1, 5, 1, 81, 1, 392, 1, 4,\n", + " 20, 149, 1, 4, 1, 1, 1, 1, 1, 3,\n", + " 1, 1],\n", + " [ 1, 1, 1, 3, 5, 401, 1, 1533, 1, 1,\n", + " 1, 1, 1, 3, 1, 63, 1, 5, 1, 270,\n", + " 4, 5, 1, 1990, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 3, 1904, 1, 5, 1, 1,\n", + " 1, 1, 1, 1, 1, 65, 1, 3, 1, 40,\n", + " 270, 3, 1, 5, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 1, 15, 1, 3, 1, 1,\n", + " 1, 1, 1, 1, 1, 101, 1, 1, 1, 5,\n", + " 385, 1, 1, 3, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 1, 97, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 5, 1, 1, 1, 3,\n", + " 5, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 1, 115, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 3, 1, 1, 1, 1,\n", + " 3, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 1, 8, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 1, 187, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 1, 55, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 1, 4, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 1, 0, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 1, 5, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1],\n", + " [ 1, 1, 1, 1, 1, 3, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1]])\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "d:\\anaconda\\Lib\\site-packages\\torch\\utils\\data\\datapipes\\iter\\combining.py:337: UserWarning: Some child DataPipes are not exhausted when __iter__ is called. We are resetting the buffer and each child DataPipe will read from the start again.\n", + " warnings.warn(\"Some child DataPipes are not exhausted when __iter__ is called. We are resetting \"\n" + ] + } + ], + "source": [ + "#5 배치 데이터 생성\n", + "\n", + "from torch.utils.data import DataLoader\n", + "from torch.nn.utils.rnn import pad_sequence\n", + "\n", + "def sequential_transforms(*transforms):\n", + " def func(txt_input):\n", + " for transform in transforms:\n", + " txt_input = transform(txt_input)\n", + " return txt_input\n", + " return func\n", + "\n", + "def input_transform(token_ids):\n", + " return torch.cat(\n", + " (torch.tensor([BOS_IDX]), torch.tensor(token_ids), torch.tensor([EOS_IDX]))\n", + " )\n", + "\n", + "def collator(batch):\n", + " src_batch, tgt_batch = [], []\n", + " for src_sample, tgt_sample in batch:\n", + " src_batch.append(text_transform[SRC_LANGUAGE](src_sample.rstrip(\"\\n\")))\n", + " tgt_batch.append(text_transform[TGT_LANGUAGE](tgt_sample.rstrip(\"\\n\")))\n", + "\n", + " src_batch = pad_sequence(src_batch, padding_value=PAD_IDX)\n", + " tgt_batch = pad_sequence(tgt_batch, padding_value=PAD_IDX)\n", + " return src_batch, tgt_batch\n", + "\n", + "text_transform = {}\n", + "for language in [SRC_LANGUAGE, TGT_LANGUAGE]:\n", + " text_transform[language] = sequential_transforms(\n", + " token_transform[language], vocab_transform[language], input_transform\n", + " )\n", + "\n", + "data_iter = Multi30k(split=\"valid\", language_pair=(SRC_LANGUAGE, TGT_LANGUAGE))\n", + "dataloader = DataLoader(data_iter, batch_size=BATCH_SIZE, collate_fn=collator,num_workers=0)\n", + "source_tensor, target_tensor = next(iter(dataloader))\n", + "\n", + "print(\"(source, target):\")\n", + "print(next(iter(data_iter)))\n", + "\n", + "print(\"source_batch:\", source_tensor.shape)\n", + "print(source_tensor)\n", + "\n", + "print(\"target_batch:\", target_tensor.shape)\n", + "print(target_tensor)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "7e345616", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "source_mask: torch.Size([30, 30])\n", + "tensor([[False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False]])\n", + "target_mask: torch.Size([26, 26])\n", + "tensor([[0., -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf,\n", + " -inf, -inf],\n", + " [0., 0., -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf,\n", + " -inf, -inf],\n", + " [0., 0., 0., -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf,\n", + " -inf, -inf],\n", + " [0., 0., 0., 0., -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf,\n", + " -inf, -inf],\n", + " [0., 0., 0., 0., 0., -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf,\n", + " -inf, -inf],\n", + " [0., 0., 0., 0., 0., 0., -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf,\n", + " -inf, -inf],\n", + " [0., 0., 0., 0., 0., 0., 0., -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf,\n", + " -inf, -inf],\n", + " [0., 0., 0., 0., 0., 0., 0., 0., -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf,\n", + " -inf, -inf],\n", + " [0., 0., 0., 0., 0., 0., 0., 0., 0., -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf,\n", + " -inf, -inf],\n", + " [0., 0., 0., 0., 0., 0., 0., 0., 0., 0., -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf,\n", + " -inf, -inf],\n", + " [0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf,\n", + " -inf, -inf],\n", + " [0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf,\n", + " -inf, -inf],\n", + " [0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf,\n", + " -inf, -inf],\n", + " [0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf,\n", + " -inf, -inf],\n", + " [0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf,\n", + " -inf, -inf],\n", + " [0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., -inf, -inf, -inf, -inf, -inf, -inf, -inf, -inf,\n", + " -inf, -inf],\n", + " [0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., -inf, -inf, -inf, -inf, -inf, -inf, -inf,\n", + " -inf, -inf],\n", + " [0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., -inf, -inf, -inf, -inf, -inf, -inf,\n", + " -inf, -inf],\n", + " [0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., -inf, -inf, -inf, -inf, -inf,\n", + " -inf, -inf],\n", + " [0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., -inf, -inf, -inf, -inf,\n", + " -inf, -inf],\n", + " [0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., -inf, -inf, -inf,\n", + " -inf, -inf],\n", + " [0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., -inf, -inf,\n", + " -inf, -inf],\n", + " [0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., -inf,\n", + " -inf, -inf],\n", + " [0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " -inf, -inf],\n", + " [0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., -inf],\n", + " [0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0.]])\n", + "source_padding_mask: torch.Size([32, 30])\n", + "tensor([[False, False, False, False, False, False, False, False, False, False,\n", + " False, True, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, True, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, True,\n", + " True, True, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, True, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, True, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, True, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " True, True, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, True, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, True, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, True, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, True, True, True, True, True, True,\n", + " True, True, True, True, True, True, True, True, True, True]])\n", + "target_padding_mask: torch.Size([32, 26])\n", + "tensor([[False, False, False, False, False, False, False, False, False, False,\n", + " False, False, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, True, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, True, True, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, True, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, True, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, True, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, True, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, True, True, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, True, True, True, True, True, True, True, True,\n", + " True, True, True, True, True, True],\n", + " [False, False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, True, True, True, True, True, True,\n", + " True, True, True, True, True, True]])\n" + ] + } + ], + "source": [ + "#6 어텐션 마스크 생성 \n", + "\n", + "def generate_square_subsequent_mask(s):\n", + " mask = (torch.triu(torch.ones((s, s), device=DEVICE)) == 1).transpose(0, 1)\n", + " mask = (\n", + " mask.float()\n", + " .masked_fill(mask == 0, float(\"-inf\"))\n", + " .masked_fill(mask == 1, float(0.0))\n", + " )\n", + " return mask\n", + "\n", + "def create_mask(src, tgt):\n", + " src_seq_len = src.shape[0]\n", + " tgt_seq_len = tgt.shape[0]\n", + "\n", + " tgt_mask = generate_square_subsequent_mask(tgt_seq_len)\n", + " src_mask = torch.zeros((src_seq_len, src_seq_len), device=DEVICE).type(torch.bool)\n", + "\n", + " src_padding_mask = (src == PAD_IDX).transpose(0, 1)\n", + " tgt_padding_mask = (tgt == PAD_IDX).transpose(0, 1)\n", + " return src_mask, tgt_mask, src_padding_mask, tgt_padding_mask\n", + "\n", + "target_input = target_tensor[:-1, :]\n", + "target_out = target_tensor[1:, :]\n", + "\n", + "source_mask, target_mask, source_padding_mask, target_padding_mask = create_mask(\n", + " source_tensor, target_input\n", + ")\n", + "\n", + "print(\"source_mask:\", source_mask.shape)\n", + "print(source_mask)\n", + "\n", + "print(\"target_mask:\", target_mask.shape)\n", + "print(target_mask)\n", + "\n", + "print(\"source_padding_mask:\", source_padding_mask.shape)\n", + "print(source_padding_mask)\n", + "\n", + "print(\"target_padding_mask:\", target_padding_mask.shape)\n", + "print(target_padding_mask)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "b898e8e6", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "d:\\anaconda\\Lib\\site-packages\\torch\\nn\\functional.py:5109: UserWarning: Support for mismatched key_padding_mask and attn_mask is deprecated. Use same type for both instead.\n", + " warnings.warn(\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch: 1, Train loss: 5.261, Val loss: 5.085\n", + "Epoch: 2, Train loss: 5.431, Val loss: 5.700\n", + "Epoch: 3, Train loss: 5.388, Val loss: 7.551\n", + "Epoch: 4, Train loss: 5.288, Val loss: 8.662\n", + "Epoch: 5, Train loss: 5.226, Val loss: 8.874\n" + ] + } + ], + "source": [ + "#7 모델 학습 및 평가\n", + "\n", + "def run(model, optimizer, criterion, split):\n", + " model.train() if split == \"train\" else model.eval()\n", + " data_iter = Multi30k(split=split, language_pair=(SRC_LANGUAGE, TGT_LANGUAGE))\n", + " dataloader = DataLoader(data_iter, batch_size=BATCH_SIZE, collate_fn=collator)\n", + "\n", + " losses = 0\n", + " for source_batch, target_batch in dataloader:\n", + " source_batch = source_batch.to(DEVICE)\n", + " target_batch = target_batch.to(DEVICE)\n", + "\n", + " target_input = target_batch[:-1, :]\n", + " target_output = target_batch[1:, :]\n", + "\n", + " src_mask, tgt_mask, src_padding_mask, tgt_padding_mask = create_mask(\n", + " source_batch, target_input\n", + " )\n", + "\n", + " logits = model(\n", + " src=source_batch,\n", + " trg=target_input,\n", + " src_mask=src_mask,\n", + " tgt_mask=tgt_mask,\n", + " src_padding_mask=src_padding_mask,\n", + " tgt_padding_mask=tgt_padding_mask,\n", + " memory_key_padding_mask=src_padding_mask,\n", + " )\n", + "\n", + " optimizer.zero_grad()\n", + " loss = criterion(logits.reshape(-1, logits.shape[-1]), target_output.reshape(-1))\n", + " if split == \"train\":\n", + " loss.backward()\n", + " optimizer.step()\n", + " losses += loss.item()\n", + "\n", + " return losses / len(list(dataloader))\n", + "\n", + "for epoch in range(5):\n", + " train_loss = run(model, optimizer, criterion, \"train\")\n", + " val_loss = run(model, optimizer, criterion, \"valid\")\n", + " print(f\"Epoch: {epoch+1}, Train loss: {train_loss:.3f}, Val loss: {val_loss:.3f}\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "23d26639", + "metadata": {}, + "outputs": [], + "source": [ + "def greedy_decode(model, source_tensor, source_mask, max_len, start_symbol):\n", + " source_tensor = source_tensor.to(DEVICE)\n", + " source_mask = source_mask.to(DEVICE)\n", + "\n", + " memory = model.encode(source_tensor, source_mask)\n", + " ys = torch.ones(1, 1).fill_(start_symbol).type(torch.long).to(DEVICE)\n", + " for i in range(max_len - 1):\n", + " memory = memory.to(DEVICE)\n", + " target_mask = generate_square_subsequent_mask(ys.size(0))\n", + " target_mask = target_mask.type(torch.bool).to(DEVICE)\n", + "\n", + " out = model.decode(memory, ys, target_mask)\n", + " out = out.transpose(0, 1)\n", + " prob = model.generator(out[:, -1])\n", + " _, next_word = torch.max(prob, dim=1)\n", + " next_word = next_word.item()\n", + "\n", + " ys = torch.cat(\n", + " [ys, torch.ones(1, 1).type_as(source_tensor.data).fill_(next_word)], dim=0\n", + " )\n", + "\n", + " if next_word == EOS_IDX:\n", + " break\n", + " return ys\n", + "\n", + "def translate(model, source_sentence):\n", + " model.eval()\n", + " source_tensor = text_transform[SRC_LANGUAGE](source_sentence).view(-1, 1)\n", + " num_tokens = source_tensor.shape[0]\n", + " src_mask = (torch.zeros(num_tokens, num_tokens)).type(torch.bool)\n", + "\n", + " tgt_tokens = greedy_decode(\n", + " model, source_tensor, src_mask, max_len=num_tokens + 5, start_symbol=BOS_IDX\n", + " ).flatten()\n", + "\n", + " output = vocab_transform[TGT_LANGUAGE].lookup_tokens(list(tgt_tokens.cpu().numpy()))[1:-1]\n", + " return \" \".join(output)\n", + "\n", + "output_oov = translate(model, \"Eine Gruppe von Menschen steht vor einem Iglu .\")\n", + "output = translate(model, \"Eine Gruppe von Menschen steht vor einem Gebäude .\")\n", + "print(output_oov)\n", + "print(output)\n" + ] + }, + { + "cell_type": "markdown", + "id": "452785ce", + "metadata": {}, + "source": [ + "# GPT-2 실습" + ] + }, + { + "cell_type": "code", + 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"- Beam Search, Top-k sampling, Top-p sampling 과 같은 다양한 디코딩 기법들을 실험해보겠습니다." + ], + "metadata": { + "id": "8Gxy65cu8irm" + } + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "id": "_M2apVV-8cyb" + }, + "outputs": [], + "source": [ + "#reproducability을 위해 해당 코드를 실행해주세요\n", + "SEED = 34\n", + "#max number of words in output text\n", + "MAX_LEN = 70" + ] + }, + { + "cell_type": "code", + "source": [ + "# 실험할 문장입니다.\n", + "input_sequence = \"I don't know about you, but there's only one thing I want to do after a long day of work\"" + ], + "metadata": { + "id": "Kd6ZRQmG8gWL" + }, + "execution_count": 2, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# transformers을 가져와서 사용해봅시다\n", + "from transformers import TFGPT2LMHeadModel, GPT2Tokenizer\n", + "\n", + "# pretrained large GPT2 tokenizer 와 GPT2 model를 가져와주세요.\n", + "tokenizer = GPT2Tokenizer.from_pretrained(\"gpt2-large\")\n", + "GPT2 = TFGPT2LMHeadModel.from_pretrained(\"gpt2-large\", pad_token_id=tokenizer.eos_token_id)\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 437, + "referenced_widgets": [ + "480cf5d3bdfc4efab0e979eecd1be3de", + "3a0cdd68747c4a24ac7965dc5c2a7c89", + "567c21889564463885758297ef356dc1", + "51df367d26554a2cbdfdf983fb45a043", + "92b0cf845ac94d888c8db8a4e90239f2", + "3d1739ef53bb460b91c928a85257b728", + "0637b30d9355419785fd87e3639daa6e", + "7d6052a0f3ea4d23a16d7283b13ab2a8", + "c66d318ed3a94fedbc773cf92cc17618", + "95802b4040a746cda5e00b753390cae4", + "69d3776ad75249bdb2aa8a22686d5ad0", + "b3aecaeaa9c440b887cd271042cfeffa", + "cff2daccc9b44bffb657d05e26f9ee7f", + "561e8b97d2464ad6af965d6ce5542596", + "87ec6cac41854af0abff45f0a99b4db1", + "4100d83a44d64fab95b8f1223801cf23", + "34ce34f7790a48c9b281baef758cde2b", + "98ea5651292c46a9a0a1d66c55b09a11", + "7b5d09e00edd43cfa083bbb5fd817e70", + "ca023dbebba04854aaff2fcedd312e88", + "70580fffc9204d5ba57e8b82f1477e51", + "09f58b888da14ec8a646010f85ffab19", + 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"cfd8d4f9c97b41289fd6156d566d2df2", + "f292c5e76d2f4cc1a1efe45606fd8c60", + "154ecb17c96143f7a2a598f19938a43f", + "e9898356a6a149d6a702c953b527846d", + "ddbbe8cfcab7475da139ec17269a85b1", + "01885ec13c4e416690306511d6b52fc3", + "182fda60313247a8a285939e85e93a16", + "ff377f0df3a74657adb47ec18a898408", + "2c4b3abfd15d4efeab13550820880a7d", + "9d5815f390214c8fbf3faa479e5fb0d8", + "7412ea22d0794dbc88383f264a36cd06", + "d1912113a0c84af8986eeb13f78a0a83", + "ffe3ebe7475843ec984d8185e581be83", + "8a0926ddd5a940a6b9837ec80a201afc", + "fbd08cbf5f4d440c95e8bec7a7f56908", + "bcae8d2d3adb4b0094dca9b087c9d6e2", + "ee62c78d915940e99a99347de4a99907", + "3a4cf4fdd283423381b642479c559813" + ] + }, + "id": "pEjO6IVs8gS0", + "outputId": "f3d51c67-8b6e-4f65-93f8-90006e27cd76" + }, + "execution_count": 3, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "/usr/local/lib/python3.11/dist-packages/huggingface_hub/utils/_auth.py:94: UserWarning: \n", + "The secret `HF_TOKEN` does not exist in your Colab secrets.\n", + "To authenticate with the Hugging Face Hub, create a token in your settings tab (https://huggingface.co/settings/tokens), set it as secret in your Google Colab and restart your session.\n", + "You will be able to reuse this secret in all of your notebooks.\n", + "Please note that authentication is recommended but still optional to access public models or datasets.\n", + " warnings.warn(\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "tokenizer_config.json: 0%| | 0.00/26.0 [00:00 즉, 각 타임스텝 𝑡마다 조건부 확률이 가장 높은 단어를 선택하는 것!\n", + "\n", + "\n", + "- 이 단순한 접근방식이 어떤 성능 차이를 보이는지 살펴봅시다." + ], + "metadata": { + "id": "zsX-xn93-tUP" + } + }, + { + "cell_type": "code", + "source": [ + "# context를 encoder해주세요\n", + "input_ids = tokenizer(input_sequence, return_tensors=\"pt\").input_ids\n", + "\n", + "# 텍스트 생성하기, 이때 output length가 (context length 포함) 50이 될 때까지\n", + "greedy_output = GPT2.generate(input_ids, max_length=50)\n", + "\n", + "# output sequences 출력하기\n", + "print(\"Output:\\n\" + 100 * '-')\n", + "print(tokenizer.decode(greedy_output[0], skip_special_tokens = True))" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "ig-oWtIA8gIq", + "outputId": "54ae12ec-e092-4945-93c6-b1746543817d" + }, + "execution_count": 7, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Output:\n", + "----------------------------------------------------------------------------------------------------\n", + "I don't know about you, but there's only one thing I want to do after a long day of work: go to the gym.\n", + "\n", + "I'm not talking about the gym that's right next to my house. I'm talking about\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "💡**위 Greedy Search 식과 코드 결과를 보고 고려되는 주요 문제점을 해당 셀을 풀고 설명해주세요.**\n", + "\n", + "\n", + "---\n", + "\n", + "\n", + "- Greedy Search 는 매 단계에서 가장 확률이 높은 토큰만을 선택하므로 전체 문장이 반복적이거나 단조로운 패턴만 보일 수 있음. 결과에서도 I'm not talking about the gym... I'm talking about... 와 같이 비슷한 구조가 반복." + ], + "metadata": { + "id": "gVj1neC__f2N" + } + }, + { + "cell_type": "markdown", + "source": [ + "### **Beam Search + N-Gram Penalty**\n", + "- Beam Search는 기본적으로 Greedy Search와 유사하지만, 모델이 각 시점에서 여러 개(num_beams)의 후보 경로를 동시에 추적한다는 점이 다릅니다\n", + " > 즉, 모델이 여러 대안을 비교하면서 텍스트를 생성할 수 있다는 점!\n", + "\n", + "\n", + "- 또한, n-gram 반복을 방지하기 위한 패널티도 적용할 수 있습니다.예를 들어 `no_repeat_ngram_size = 2`로 설정하면\n", + "동일한 2-그램이 두 번 등장하지 않도록 제한됩니다.\n", + "\n", + "- 그리고 `num_return_sequences = 5` 로 설정하면\n", + "5개의 beam 결과를 모두 출력하여 비교해볼 수 있습니다." + ], + "metadata": { + "id": "3EC0shCGAAQq" + } + }, + { + "cell_type": "code", + "source": [ + "# Beam Search를 사용하려면,단순히 generate 함수의 몇몇 파라미터만 변경하면 됩니다.\n", + "# num_beans를 설정해서 beam search decoding을 실행해주세요\n", + "beam_outputs = GPT2.generate(\n", + " input_ids,\n", + " max_length=50,\n", + " num_beams=5,\n", + " num_return_sequences=5,\n", + " early_stopping=True\n", + ")\n", + "\n", + "print('')\n", + "print(\"Output:\\n\" + 100 * '-')\n", + "\n", + "# output sequences 출력하기\n", + "for i, beam_output in enumerate(beam_outputs):\n", + " print(\"{}: {}\".format(i, tokenizer.decode(beam_output, skip_special_tokens=True)))" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "l6OrEzA684Np", + "outputId": "fa827f66-6480-4f3d-9c8f-f6d8623e5e39" + }, + "execution_count": 8, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\n", + "Output:\n", + "----------------------------------------------------------------------------------------------------\n", + "0: I don't know about you, but there's only one thing I want to do after a long day of work, and that's to go home and watch a movie.\"\n", + "\n", + "\"I don't know about you, but there's only one\n", + "1: I don't know about you, but there's only one thing I want to do after a long day of work, and that's to go home and watch a movie.\"\n", + "\n", + "\"I don't know about you, but I don't want\n", + "2: I don't know about you, but there's only one thing I want to do after a long day of work, and that's to go home and watch a movie.\"\n", + "\n", + "\"I don't know about you, but I want to go\n", + "3: I don't know about you, but there's only one thing I want to do after a long day of work, and that's to go home and watch a movie.\"\n", + "\n", + "\"I don't know about you, but I'd like to\n", + "4: I don't know about you, but there's only one thing I want to do after a long day of work, and that's to go home and watch a movie.\"\n", + "\n", + "\"I don't know about you, but I don't think\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "💡**아래 그래프는 Beam Search의 결과와 실제 인간의 말하기 방식 사이의 차이를 보여줍니다. 위 Beam Search 코드 결과와 아래 그래프를 보고 고려되는 주요 문제점을 해당 셀을 풀고 설명해주세요. (기재된 논문에서 힌트를 찾을 수 있습니다.)**\n", + "\n", + "\n", + "---\n", + "\n", + "\n", + "- 인간의 말하기에서 다양한 확률의 텍스트를 생성하는 것과 달리 Beam Search 는 대부분의 timestep 에서 높은 확률을 가진 토큰만을 생성함. -> 결과가 예측 가능하고 반복되며, 인간처럼 자연스럾지 않음." + ], + "metadata": { + "id": "_VhLZdJlBVZk" + } + }, + { + "cell_type": "markdown", + "source": [ + 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)\n", + "\n", + "[출처] The Curious Case of Neural Text Degeneration, arXiv:1904.09751 (cs)\n", + "https://arxiv.org/abs/1904.09751" + ], + "metadata": { + "id": "aOBGUk2aAwQ-" + } + }, + { + "cell_type": "markdown", + "source": [ + "### **Basic Sampling**\n", + "- 이 방식은 가장 확률이 높은 문장을 찾는 경로를 고집하지 않고, 각 시점에서 조건부 확률 분포에 따라 무작위로 다음 단어를 선택합니다.\n", + "\n", + "$w t​ ∼P(w∣w 1:t−1)$\n", + "- 하지만 이렇게 무작위성이 추가되면, 생성된 문장이 일관성이 떨어지고 혼란스러워질 수 있습니다.\n", + "- 그래서 무작위성을 제어하기 위해 temperature 파라미터를 도입할 수 있습니다. 이 파라미터는 확률이 높은 단어의 선택 가능성을 높이고, 확률이 낮은 단어는 선택될 가능성을 줄여줍니다." + ], + "metadata": { + "id": "BcDagIp1BvFA" + } + }, + { + "cell_type": "code", + "source": [ + "# 샘플링을 구현하려면 do_sample = True만 설정하면 됩니다.\n", + "# temperature을 설정해주세요.\n", + "# 이때 top_k = 0으로 설정해주세요.\n", + "sample_output = GPT2.generate(\n", + " input_ids,\n", + " do_sample=True,\n", + " temperature=0.7,\n", + " top_k=0,\n", + " max_length=50\n", + ")\n", + "# output sequences 출력하기\n", + "print(\"Output:\\n\" + 100 * '-')\n", + "print(tokenizer.decode(sample_output[0], skip_special_tokens = True))" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "z6pXSH2RBuz8", + "outputId": "21a6c81c-c56f-4e90-e808-8a923edc42ab" + }, + "execution_count": 10, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Output:\n", + "----------------------------------------------------------------------------------------------------\n", + "I don't know about you, but there's only one thing I want to do after a long day of work: drink some beer. The problem is that I don't have anywhere to drink it.\n", + "\n", + "I know you've heard me mention\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "💡**temperature 파라미터가 어떤 매커니즘으로 무작위성을 제어하는지 해당 셀을 풀고 설명해주세요.**\n", + "\n", + "\n", + "---\n", + "\n", + "- temperature 파라미터는 softmax 함수에서 로짓 값을 조절하여 각 단어의 선택 확률을 변화시킨다. ![화면 캡처 2025-06-02 143312.png](data:image/png;base64,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)\n", + "\n", + "에서 로짓 값을 temperature 로 나눈 뒤 softmax를 적용하는 것을 볼 수 있다. 따라서 temperature 가 크면 확률 분포가 평평해져 다양한 단어가 선택될 가능성이 높아지고 무작위성이 증가한다." + ], + "metadata": { + "id": "8g2RrY7PFmjJ" + } + }, + { + "cell_type": "markdown", + "source": [ + "### **Top-k Sampling**\n", + "- Top-K 샘플링에서는 다음 단어 후보 중 확률이 가장 높은 상위 K개 단어만 선택하고,\n", + "전체 probability mass을 이 K개의 단어에만 분배합니다.\n", + "\n", + "> 즉, 확률이 높은 단어의 선택 확률을 높이고, 낮은 단어의 확률을 줄이는 방식이 아니라,아예 확률이 낮은 단어들을 완전히 제거하는 방식!" + ], + "metadata": { + "id": "RzmrRsA8CmYs" + } + }, + { + "cell_type": "code", + "source": [ + "# top_k 값을 설정해서, 조건부 확률 분포에서 고려할 상위 단어 개수(K)를 지정해주세요!\n", + "sample_output = GPT2.generate(\n", + " input_ids,\n", + " do_sample=True,\n", + " top_k=50,\n", + " temperature=1.0,\n", + " max_length=50\n", + ")\n", + "# output sequences 출력하기\n", + "print(\"Output:\\n\" + 100 * '-')\n", + "print(tokenizer.decode(sample_output[0], skip_special_tokens = True), '...')" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "WA-og6IeD1BZ", + "outputId": "cba3f403-c41f-4daf-cd0c-1811e06070e1" + }, + "execution_count": 12, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Output:\n", + "----------------------------------------------------------------------------------------------------\n", + "I don't know about you, but there's only one thing I want to do after a long day of work: Play a game. A nice, relaxing, social game like Tetris. I've already tried a few but every time my partner ...\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### **Top-P Sampling(Nucleus Sampling)**\n", + "- Top-K 샘플링은 이전의 random sampling보다 더 일관된 텍스트를 생성하는 것으로 보입니다. 하지만 이보다 더나은 방법으로 Top-p sampling이 있습니다.\n", + "- Top-P 샘플링은 Top-K와 유사하지만,가장 확률이 높은 상위 K개 단어를 고르는 대신,누적 확률이 P 이상이 되는 최소한의 단어 집합을 선택합니다 그리고 전체 probability mass는 이 단어 집합에 재분배됩니다.\n" + ], + "metadata": { + "id": "2CgUegJOAw6h" + } + }, + { + "cell_type": "code", + "source": [ + "# top_p 파라미터를 통해 only from 80% most likely words 만 sample 해주세요.\n", + "sample_output = GPT2.generate(\n", + " input_ids,\n", + " do_sample=True,\n", + " top_p=0.8,\n", + " temperature=1.0,\n", + " max_length=50\n", + ")\n", + "# output sequences 출력하기\n", + "print(\"Output:\\n\" + 100 * '-')\n", + "print(tokenizer.decode(sample_output[0], skip_special_tokens = True), '...')" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "GEhy8PgbAr2f", + "outputId": "7b7a1168-3f23-45ed-f5b8-5645b5e5dff0" + }, + "execution_count": 13, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Output:\n", + "----------------------------------------------------------------------------------------------------\n", + "I don't know about you, but there's only one thing I want to do after a long day of work: go home. I don't want to be bothered by strangers. I don't want to see a lot of people. I want ...\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### **Top-K + Top-P sampling**\n", + "- 둘을 동시에 사용하면, 확률이 매우 낮은 단어(이상한 단어)가 나올 가능성을 줄이면서도, 선택되는 단어 집합의 크기는 유동적으로 유지할 수 있습니다." + ], + "metadata": { + "id": "heGKePrAE46H" + } + }, + { + "cell_type": "code", + "source": [ + "# top_k와 top_p에 값을 지정하면 되고, temperature 파라미터도 함께 사용할 수 있습니다.\n", + "# 아래 코드를 완성해주세요.\n", + "# 이때 max_length= 2*MAX_LEN 으로 설정해주세요\n", + "sample_outputs = GPT2.generate(\n", + " input_ids,\n", + " do_sample=True,\n", + " top_k=50,\n", + " top_p=0.9,\n", + " temperature=0.8,\n", + " max_length=100,\n", + " num_return_sequences=5\n", + ")\n", + "# output sequences 출력하기\n", + "print(\"Output:\\n\" + 100 * '-')\n", + "for i, sample_output in enumerate(sample_outputs):\n", + " print(\"{}: {}...\".format(i, tokenizer.decode(sample_output, skip_special_tokens = True)))\n", + " print('')" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Q8-CnW76E3FI", + "outputId": "a85cce5a-c724-4b7a-fba7-9b015302c38f" + }, + "execution_count": 14, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Output:\n", + "----------------------------------------------------------------------------------------------------\n", + "0: I don't know about you, but there's only one thing I want to do after a long day of work: I want to eat some good food. But I can't afford it. I'm a poor student, and it's hard to find cheap, healthy food in my town.\"\n", + "\n", + "A friend of his, a local man, offered to give him some food for free, but he declined. \"If I didn't take that food I would have to go out and buy it...\n", + "\n", + "1: I don't know about you, but there's only one thing I want to do after a long day of work: catch up on some classic movies. If I'm in a mood for some action, I can turn to the original \"Back to the Future\" trilogy, the original \"Star Wars\" trilogy, the original \"Indiana Jones\" trilogy, or even \"The Dark Knight Rises.\"\n", + "\n", + "But as I've said before, I don't want to just turn to a few classics...\n", + "\n", + "2: I don't know about you, but there's only one thing I want to do after a long day of work: spend some quality time with my girlfriend. If I can't get her to play with me, I won't be able to get her to enjoy the game.\n", + "\n", + "How do I find her?\n", + "\n", + "There are several ways to do this, and I'm going to share a few of them.\n", + "\n", + "First of all, I'm going to make a list of all...\n", + "\n", + "3: I don't know about you, but there's only one thing I want to do after a long day of work. I want to go home, go to bed, and take a nice big nap.\n", + "\n", + "That's right, I want to take a long nap.\n", + "\n", + "But you know what?\n", + "\n", + "I can't.\n", + "\n", + "Because I'm not sleepy. I'm not sleepy. I'm not sleepy.\n", + "\n", + "But you want to be. You want to be. You...\n", + "\n", + "4: I don't know about you, but there's only one thing I want to do after a long day of work: drink a beer. This is a beer I've been making for a while now and it has a nice dark color and a little bit of body. It's not too strong and doesn't taste too sweet, but it's definitely a beer to keep on hand. It's the perfect beer to pair with some steak and some pasta or some fresh fish. You can get it in...\n", + "\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "💡**Top-k와 Top-p의 방식의 차이에 대해 설명해주세요**\n", + "\n", + "\n", + "---\n", + "- Top-k 는 각 시점에서 확률이 가장 높은 상위 k 개의 단어만을 후보로 정하므로 후보의 수가 k 개로 일정.\n", + "- Top-p 는 누적 확률이 p 이상이 되는 최소한의 단어 집합을 선택. 따라서 상황에 따라 후보의 수가 유동적으로 변할 수 있음." + ], + "metadata": { + "id": "s_TeJ5zXF6Ra" + } + } + ] +} \ No newline at end of file

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