IntroductiontoLLM_Activity_2_GPT_2_V2 (4).ipynb

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        "# Introduction to GPT-2 Version 2\n",
        "by Eugenio Tufino, University of Padova, 20 December, 2024\n",
        "\n",
        "[Link to Google Colab](https://colab.research.google.com/drive/1pq0Yo2QPxMTR_OpRy81T4sEFOpfNqyIA?usp=sharing)\n",
        "\n",
        "In this notebook, we present GPT-2, a simplified model compared to the state-of-the-art generative models such as  GPT-4 or OpenAI o1, the model just released. GPT-2 is based on the **Generative Pre-trained Transformer** architecture and was released by OpenAI in **2019**. It uses a relatively simple mechanism to generate text, predicting the next word in a sequence based on the given context.\n",
        "\n",
        "Therefore unlike Word2Vec, where as we have seen word vectors are static (the same vector represents a word regardless of its usage), GPT-2 **dynamically adjusts the word representation** based on its context. This allows GPT-2 to better capture the meaning of words in different situations, resulting in more coherent and contextually accurate text generation.\n",
        "\n",
        "We will explore this model to understand, in a simplified way, how this kind of generative AI works, focusing on its word generation process and how prompts affect its output.\n",
        "\n",
        "---\n",
        "\n",
        "\n",
        "GPT stands for Generative Pre-trained Transformer, highlighting its key features:\n",
        "- Generative: The model generates coherent and meaningful text.\n",
        "- Pre-trained: It is trained on large datasets before being fine-tuned for specific tasks.\n",
        "- Transformer: It uses the Transformer architecture for efficient and context-aware text generation.\n",
        "\n",
        "\n",
        "Further reading:\n",
        "1. https://en.wikipedia.org/wiki/GPT-2\n",
        "2. https://huggingface.co/docs/transformers/en/model_doc/gpt2\n",
        "3. The Transformer architecture was introduced here: Vaswani, A., Shazeer, N., Parmar, N., Uszkoreit, J., Jones, L., Gomez, A. N., Kaiser, Ł., & Polosukhin, I. (2017). \"Attention Is All You Need.\" Advances in Neural Information Processing Systems\n",
        "4.. https://writings.stephenwolfram.com/2023/02/what-is-chatgpt-doing-and-why-does-it-work/\n",
        "\n",
        "\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
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        "id": "ji9zO4BzNLAN"
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      "source": [
        "### Import the libraries for using GPT-2\n"
      ]
    },
    {
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          "base_uri": "https://localhost:8080/"
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        "outputId": "3b8fa38d-2f21-4780-8698-dc902a69a713"
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      "outputs": [
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          "text": [
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          ]
        }
      ],
      "source": [
        "!pip install transformers\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from transformers import GPT2LMHeadModel, GPT2Tokenizer\n",
        "import torch"
      ]
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            "/usr/local/lib/python3.10/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"
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        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "GPT-2 model and tokenizer loaded successfully!\n"
          ]
        }
      ],
      "source": [
        "# Load the pre-trained GPT-2 model and tokenizer\n",
        "#model_name = \"gpt2\"  # This is the smallest size. You can also use 'gpt2-medium', 'gpt2-large'.\n",
        "model_name = \"gpt2-large\"  # This is the smallest size. You can also use 'gpt2-medium', 'gpt2-large'.\n",
        "\n",
        "# The tokenizer processes input text into tokens and converts tokens back to text\n",
        "\n",
        "tokenizer = GPT2Tokenizer.from_pretrained(model_name) # Load the pre-trained tokenizer for GPT-2\n",
        "# The tokenizer processes input text into tokens and converts tokens back to text\n",
        "#Load the pre-trained GPT-2 language model\n",
        "# The model generates text by predicting the next token in a sequence\n",
        "model = GPT2LMHeadModel.from_pretrained(model_name)\n",
        "\n",
        "print(\"GPT-2 model and tokenizer loaded successfully!\")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "lxfcr80CJO1g"
      },
      "source": [
        "### What does a 'tokenizer' mean, and what is a token?\n",
        "Check this website (for the latest version of GPT): [Link](https://platform.openai.com/tokenizer)\n",
        "\n",
        "Try to tokenize the following text:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "xySdSor5TuB3",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "53ada1e7-a971-4a23-d081-1588be9da61b"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Tokenized text: ['What', 'Ġis', 'ĠAI', '?']\n",
            "tensor([[2061,  318, 9552,   30]])\n"
          ]
        }
      ],
      "source": [
        "# Text to tokenize\n",
        "text = \"What is AI?\"\n",
        "# Convert text into tokens\n",
        "tokenized_text = tokenizer.tokenize(text)\n",
        "# Ġ simply indicates a space precedes the token\n",
        "print(\"Tokenized text:\", tokenized_text)\n",
        "tokens = tokenizer.encode(text, return_tensors=\"pt\")\n",
        "# Output the tokens\n",
        "print(tokens)  #print the token Ids"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Qt4J77PwQwZN"
      },
      "source": [
        "### Info about the model GPT-2\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "w7fbfpFgT3a5",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "f10f031d-0bba-4844-8ca8-4d9e2068e910"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Vocabulary size: 50257\n",
            "Vector size (number of dimensions): 1280\n"
          ]
        }
      ],
      "source": [
        "# Check vocabulary size and vector size from the model's configuration\n",
        "vocab_size = model.config.vocab_size\n",
        "vector_size = model.config.n_embd\n",
        "\n",
        "print(\"Vocabulary size:\", vocab_size)\n",
        "print(\"Vector size (number of dimensions):\", vector_size)\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "vMD_ccvb6PF0"
      },
      "source": [
        "## Generating text with GPT-2"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "Swdw4SZqZQ_1"
      },
      "outputs": [],
      "source": [
        "\n",
        "#prompt = \"The importance of communication in modern society\"\n",
        "\n",
        "# Define a physics-related prompt\n",
        "#prompt=\"In physics, Newton's laws describe the relationship between motion and forces\"\n",
        "#prompt = \"In physics, energy is the ability to\"\n",
        "#prompt=\"In classical mechanics, Newton's First Law states that...\"\n",
        "#prompt=\"In physics, the speed of light\"\n",
        "prompt=\"The theory of relativity, proposed by Albert Einstein, revolutionized our understanding of space and time.\"\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "kBT-G5Sgaq1P",
        "outputId": "d90ee23f-b06a-4dee-e9f9-295663391907"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Generated Text:\n",
            "The theory of relativity, proposed by Albert Einstein, revolutionized our understanding of space and time. It was the first time in history that a physical law had been proven to be true beyond reasonable doubt.\n",
            "\n",
            "After the death of Einstein, there were several theories that proposed a non-Einsteinian solution to the problem of gravity.\n",
            " and the theory of supersymmetry proposed by the theorists of\n"
          ]
        }
      ],
      "source": [
        "# Tokenize the prompt\n",
        "input_ids = tokenizer.encode(prompt, return_tensors='pt')\n",
        "# Create an attention mask\n",
        "attention_mask = torch.ones_like(input_ids)\n",
        "\n",
        "output = model.generate(\n",
        "    input_ids,\n",
        "    attention_mask=attention_mask,  # Specify the attention mask\n",
        "    max_length=80,#Maximum length of the generated sequence\n",
        "    num_return_sequences=1,# Number of different sequences to generate\n",
        "    no_repeat_ngram_size=3,  # # Avoids repeated bigrams, see Annex A\n",
        "    temperature=0.8,\n",
        "    top_k=50, #Limits sampling to the top 50 tokens by probability, reducing unlikely choices\n",
        "    top_p=0.95,# Enables nucleus sampling, selecting tokens with cumulative probability ≤ 0.95\n",
        "    do_sample=True,  # Enable sampling\n",
        "    pad_token_id=tokenizer.eos_token_id,\n",
        ")\n",
        "# Decode and print the generated text\n",
        "generated_text = tokenizer.decode(output[0], skip_special_tokens=True)\n",
        "print(\"Generated Text:\")\n",
        "print(generated_text)\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "6lHNDYWKB9nd"
      },
      "source": [
        "In a previous session (with GPT-2 small model) I obtained the following text:\n",
        "> In physics, energy is the ability to move matter in the universe. This is why the earth is flat. But the way the world works is different.The earth orbits the sun, which is a reflection of the moon, and then it turns around and turns the other way around. The solar system's rotation slows down when the Earth spins, so the solar wind is pulled in two directions. It takes a lot of energy to turn the two sides of a circle around each other...\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ioNCzcl8a8ed"
      },
      "source": [
        "## Questions\n",
        "1. How coherent is the generated text with the given prompt?\n",
        "2. Does the model truly understand the concepts, or is it merely generating plausible sentences?\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "k7H89VIwBQwj"
      },
      "source": [
        "GPT-2 generates text dynamically by predicting the next word in a sequence based on its context (through the Transformer architecture). It can produce  produce nonsensical or inaccurate content.\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "rkK3JNhKaAmr"
      },
      "source": [
        "### Parameter you can vary to improve the generated text:\n",
        "**temperature:** Controls the randomness of text generation. A lower value produces more predictable text, while a higher value increases creativity.\n",
        "**max_length**: Adjusts the length of the generated text.\n",
        "**top_k:** Regulate the selection of probable words at each step.\n",
        "\n",
        "(see also Annex A below)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "6ADOpnk8DIaH"
      },
      "source": [
        "**Exercise 1** Adjust the temperature. Experiment with different calues of temperature to improve the quality of GPT-2’s generated output. Observe how it influences the behavior of the model.\n",
        "\n",
        " Which temperature value produces the most meaningful text for your physics context? Write down the produced output too."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "bJgma7fxCTEo"
      },
      "outputs": [],
      "source": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "**Exercise 2**  Try the exercise again with a more physics-specific prompt. Report here the prompt and the output with the choice of parameters made.\n"
      ],
      "metadata": {
        "id": "dvOLaT-9vOes"
      }
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "YVP4Smnxq9Ql"
      },
      "source": [
        "### Analyze the probabilities for the next token.\n",
        "This allows us to 'look under the hood' and understand how the model assigns probabilities to different options. We can read the probabilities of the next word after the given prompt.\n",
        "\n",
        "prompt = \"\"The importance of communication in modern society\"\""
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "PxRZAu6HqvlA",
        "outputId": "2b26598d-1bf1-42e1-8842-db3dcf6fbcf0"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The top 30 most probable options for the next token are:\n",
            "\n",
            " is: 0.5016\n",
            " has: 0.1569\n",
            " cannot: 0.1046\n",
            " can: 0.0363\n",
            ",: 0.0346\n",
            " was: 0.0307\n",
            "\n",
            ": 0.0235\n",
            " and: 0.0219\n",
            ".: 0.0167\n",
            " should: 0.0064\n",
            " must: 0.0051\n",
            " goes: 0.0051\n",
            " lies: 0.0028\n",
            " may: 0.0024\n",
            " will: 0.0021\n",
            " requires: 0.0018\n",
            " does: 0.0018\n",
            " remains: 0.0016\n",
            " makes: 0.0014\n",
            " as: 0.0014\n",
            " means: 0.0014\n",
            " in: 0.0012\n",
            ":: 0.0012\n",
            " seems: 0.0011\n",
            " would: 0.0011\n",
            " (: 0.0010\n",
            " could: 0.0010\n",
            " continues: 0.0009\n",
            " became: 0.0009\n",
            " comes: 0.0009\n"
          ]
        }
      ],
      "source": [
        "import torch.nn.functional as F\n",
        "# Define a prompt\n",
        "prompt = \"The importance of communication in modern society\"\n",
        "#physics related prompt = \"The speed of light\"\n",
        "\n",
        "# Encode the prompt\n",
        "input_ids = tokenizer.encode(prompt, return_tensors='pt')\n",
        "\n",
        "# Forward pass through the model to get logits\n",
        "outputs = model(input_ids)\n",
        "logits = outputs.logits  # Shape: (batch_size, sequence_length, vocab_size)\n",
        "\n",
        "# Get the logits for the last token in the input\n",
        "last_token_logits = logits[0, -1, :]  # Shape: (vocab_size,)\n",
        "\n",
        "# Set the temperature\n",
        "temperature = 0.8 # Lower = less random, higher = more random/creative\n",
        "\n",
        "adjusted_logits = last_token_logits / temperature\n",
        "probs = F.softmax(adjusted_logits, dim=-1)\n",
        "\n",
        "# We set top_k=30 to show the 30 most probable options for the next token\n",
        "top_k = 30\n",
        "top_k_probs, top_k_indices = torch.topk(probs, top_k)\n",
        "\n",
        "print(\"The top {} most probable options for the next token are:\\n\".format(top_k))\n",
        "# Decode and print the top words with their probabilities\n",
        "for i in range(top_k):\n",
        "    word = tokenizer.decode(top_k_indices[i].item())\n",
        "    prob = top_k_probs[i].item()\n",
        "    print(f\"{word}: {prob:.4f}\")\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "\n",
        "\n",
        "# Decode the words and limit to top 10\n",
        "words = [tokenizer.decode(idx.item()) for idx in top_k_indices[:10]]\n",
        "probs = top_k_probs[:10].tolist()\n",
        "\n",
        "# Make punctuation more readable\n",
        "words = ['\"COMMA\"' if w == ',' else '\"PERIOD\"' if w == '.' else w for w in words]\n",
        "\n",
        "# Create the histogram\n",
        "plt.figure(figsize=(12, 8))  # Increased figure size\n",
        "plt.bar(range(len(words)), probs, align='center')\n",
        "plt.xticks(range(len(words)), words, rotation=45, ha='right', fontsize=16)  # Increased font size\n",
        "plt.xlabel('Words', fontsize=20)\n",
        "plt.ylabel('Probability', fontsize=20)\n",
        "plt.ylim(0.0, 0.9)\n",
        "#plt.title('Probabilities of the 10 Most Likely Next Words', fontsize=16)\n",
        "\n",
        "# Add values above each bar\n",
        "for i, v in enumerate(probs):\n",
        "    plt.text(i, v, f'{v:.4f}', ha='center', va='bottom', fontsize=15)\n",
        "\n",
        "plt.savefig('Hist_T0.8.png', dpi=400)\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 807
        },
        "id": "Gly-2QJ-4OcH",
        "outputId": "5459529f-13d6-4128-b05c-8065a0cf5ae6"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x800 with 1 Axes>"
            ],
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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "U_sHeihJra7g"
      },
      "source": [
        "**Exercise 2:** Try to change the \"temperature\" parameter and see if there are any differences\n",
        "\n",
        "**Exercise 3:** You can continue the construction of the sentence, word by word..."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "YnNUKfR5tR20"
      },
      "outputs": [],
      "source": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "j0bAcTSttT5M"
      },
      "source": [
        "### Iterating the process\n",
        "Iterate the process changing only the temperature, the max_words and top_k parameters."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "rY4Wb_ZKtSK5",
        "outputId": "bd03c7a4-f25e-4d0d-b2b6-e1c4cd36a972"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The importance of communication in modern society cannot\n",
            "The importance of communication in modern society cannot be\n",
            "The importance of communication in modern society cannot be over\n",
            "The importance of communication in modern society cannot be overstated\n",
            "The importance of communication in modern society cannot be overstated.\n",
            "The importance of communication in modern society cannot be overstated. It\n",
            "The importance of communication in modern society cannot be overstated. It is\n",
            "The importance of communication in modern society cannot be overstated. It is the\n",
            "The importance of communication in modern society cannot be overstated. It is the most\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control.\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past,\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today.\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world.\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However,\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction of\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction of the\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction of the printing\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction of the printing press\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction of the printing press gave\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction of the printing press gave the\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction of the printing press gave the mass\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction of the printing press gave the mass medium\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction of the printing press gave the mass medium a\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction of the printing press gave the mass medium a tremendous\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction of the printing press gave the mass medium a tremendous opportunity\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction of the printing press gave the mass medium a tremendous opportunity.\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction of the printing press gave the mass medium a tremendous opportunity. As\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction of the printing press gave the mass medium a tremendous opportunity. As a\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction of the printing press gave the mass medium a tremendous opportunity. As a result\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction of the printing press gave the mass medium a tremendous opportunity. As a result,\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction of the printing press gave the mass medium a tremendous opportunity. As a result, the\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction of the printing press gave the mass medium a tremendous opportunity. As a result, the world\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction of the printing press gave the mass medium a tremendous opportunity. As a result, the world's\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction of the printing press gave the mass medium a tremendous opportunity. As a result, the world's population\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction of the printing press gave the mass medium a tremendous opportunity. As a result, the world's population grew\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction of the printing press gave the mass medium a tremendous opportunity. As a result, the world's population grew in\n",
            "\n",
            "Final Generated Paragraph:\n",
            "The importance of communication in modern society cannot be overstated. It is the most powerful force in our lives and it is also the most difficult to control. Yet communication can be at the expense of our health.\n",
            "\n",
            "The Future of Communication\n",
            "\n",
            "In the past, the use of communication was as widespread as it is today. It was often done through written records and was in use throughout the world. However, the introduction of the printing press gave the mass medium a tremendous opportunity. As a result, the world's population grew in\n"
          ]
        }
      ],
      "source": [
        "# @title Testo del titolo predefinito\n",
        "\n",
        "input_ids = tokenizer.encode(prompt, return_tensors='pt')\n",
        "\n",
        "# Set parameters\n",
        "max_words = 100  # Maximum number of words to generate\n",
        "temperature = 0.7\n",
        "top_k = 50\n",
        "\n",
        "# Generate word by word\n",
        "for _ in range(max_words):\n",
        "    # Forward pass to get logits\n",
        "    outputs = model(input_ids)\n",
        "    logits = outputs.logits  # Shape: (batch_size, sequence_length, vocab_size)\n",
        "\n",
        "    # Get the logits for the last token\n",
        "    last_token_logits = logits[0, -1, :]\n",
        "\n",
        "    # Apply temperature\n",
        "    adjusted_logits = last_token_logits / temperature\n",
        "\n",
        "    # Convert logits to probabilities\n",
        "    probs = F.softmax(adjusted_logits, dim=-1)\n",
        "\n",
        "    # Sample the next token\n",
        "    next_token_id = torch.multinomial(probs, num_samples=1)\n",
        "\n",
        "    # Append the token to the input_ids\n",
        "    input_ids = torch.cat([input_ids, next_token_id.unsqueeze(0)], dim=1)\n",
        "\n",
        "    # Decode the current output and print\n",
        "    generated_text = tokenizer.decode(input_ids[0])\n",
        "    print(generated_text)\n",
        "\n",
        "# Final generated paragraph\n",
        "print(\"\\nFinal Generated Paragraph:\")\n",
        "print(tokenizer.decode(input_ids[0]))\n"
      ]
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        "**Exercise: Try to improve the overall output with the following measures**\n",
        "\n",
        "\n",
        "\n",
        "1. Explore different prompts: You can test different prompts, specific to physics concepts, to observe how the behaviour of the model changes.\n",
        "2. You can generalize the code to consider the parameter no_repeat_ngram_size, top_p (see Annex). You can can observe how these parameters influence the diversity and coherence of the generated text."
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Congratulations! You have completed the Jupyter Notebook."
      ],
      "metadata": {
        "id": "ji2H2jKvsGY8"
      }
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        "## Annex Parameters for text generation\n",
        "\n",
        "### **1. `no_repeat_ngram_size`**\n",
        "\n",
        "What is an n-gram?\n",
        "\n",
        "An n-gram is a sequence of n consecutive tokens (words or subwords) in text. For example:\n",
        "\n",
        "    1-gram (Unigram): [\"The\", \"cat\", \"is\", \"on\", \"the\", \"mat\"]\n",
        "    2-gram (Bigram): [\"The cat\", \"cat is\", \"is on\", \"on the\", \"the mat\"]\n",
        "    \n",
        "- **Definition**: Prevents the repetition of n-grams (sequences of `n` consecutive tokens) in the generated text.\n",
        "- **Purpose**: Ensures variety in the output by disallowing repetitive phrases.\n",
        "- **Example**:\n",
        "  - With `no_repeat_ngram_size=2`: The bigram \"the cat\" cannot appear more than once in the text.\n",
        "  - Without it: Text may loop or repeat, like \"The cat is on the mat. The cat is on the mat.\"\n",
        "\n",
        "\n",
        "\n",
        "### **2. `temperature`**\n",
        "- **Definition**: Controls the randomness of token selection during generation.\n",
        "- **Purpose**: Adjusts the \"creativity\" of the output.\n",
        "- **Behavior**:\n",
        "  - Lower values (e.g., `0.5`): Predictable and conservative text.\n",
        "  - Higher values (e.g., `1.5`): More creative but can lead to incoherence.\n",
        "\n",
        "\n",
        "\n",
        "### **3. `top_k`**\n",
        "- **Definition**: Limits sampling to the top-k most probable tokens.\n",
        "- **Purpose**: Ensures the model selects tokens from a fixed number of high-probability options.\n",
        "- **Behavior**:\n",
        "  - Lower values (e.g., `10`): More focused and deterministic text.\n",
        "  - Higher values (e.g., `50`): Allows greater diversity but risks introducing randomness.\n",
        "\n",
        "\n",
        "### **4. `top_p` (Nucleus Sampling)**\n",
        "- **Definition**: Chooses tokens whose cumulative probability is ≤ `top_p`.\n",
        "- **Purpose**: Dynamically adjusts the diversity of token selection.\n",
        "- **Behavior**:\n",
        "  - Lower values (e.g., `0.8`): Limits to the most likely tokens, producing focused text.\n",
        "  - Higher values (e.g., `0.95`): Includes more tokens, allowing for greater creativity.\n",
        "\n",
        "### **5. `max_length`**\n",
        "- **Definition**: Sets the maximum number of tokens in the generated sequence, including the input.\n",
        "- **Purpose**: Controls how long the generated text will be.\n",
        "- **Behavior**:\n",
        "  - Short sequences (e.g., `50`): Output is concise but might be incomplete.\n",
        "  - Long sequences (e.g., `200`): Risk of losing coherence or repeating patterns.\n",
        "\n",
        "\n",
        "### **6. `pad_token_id`**\n",
        "- **Definition**: Specifies the token used for padding sequences to a uniform length.\n",
        "- **Purpose**: Ensures the model handles sequences with padding properly during generation.\n",
        "- **Common Value**: Set to the End-of-Sequence (EOS) token in GPT-2 (`tokenizer.eos_token_id`).\n",
        "\n",
        "\n",
        "### **7. `attention_mask`**\n",
        "- **Definition**: A binary mask indicating which tokens in the input are valid (1) and which are padding (0).\n",
        "- **Purpose**: Ensures the model only attends to meaningful tokens during processing.\n",
        "- **Behavior**:\n",
        "  - Without it: The model may produce unreliable results, especially with padded sequences.\n"
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