{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Building a Llama 2 chatbot with Retrieval Augmented Generation (RAG)\n", "\n", "This notebook shows a complete example of how to build a Llama 2 chatbot hosted on your browser that can answer questions based on your own data. We'll cover:\n", "* The deployment process of Llama 2 7B with the [Text-generation-inference](https://github.com/huggingface/text-generation-inference) framework as an API server\n", "* A chatbot example built with [Gradio](https://github.com/gradio-app/gradio) and wired to the server\n", "* Adding RAG capability with Llama 2 specific knowledge based on our Getting Started [guide](https://ai.meta.com/llama/get-started/)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## RAG Architecture\n", "\n", "LLMs have unprecedented capabilities in NLU (Natural Language Understanding) & NLG (Natural Language Generation), but they have a knowledge cutoff date, and are only trained on publicly available data before that date.\n", "\n", "RAG, invented by [Meta](https://ai.meta.com/blog/retrieval-augmented-generation-streamlining-the-creation-of-intelligent-natural-language-processing-models/) in 2020, is one of the most popular methods to augment LLMs. RAG allows enterprises to keep sensitive data on-prem and get more relevant answers from generic models without fine-tuning models for specific roles.\n", "\n", "RAG is a method that:\n", "* Retrieves data from outside a foundation model\n", "* Augments your questions or prompts to LLMs by adding the retrieved relevant data as context\n", "* Allows LLMs to answer questions about your own data, or data not publicly available when LLMs were trained\n", "* Greatly reduces the hallucination in model's response generation\n", "\n", "The following diagram shows the general RAG components and process:" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "![image.png](attachment:image.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## How to Develop a RAG Powered Llama 2 Chatbot\n", "\n", "The easiest way to develop RAG-powered Llama 2 chatbots is to use frameworks such as [**LangChain**](https://www.langchain.com/) and [**LlamaIndex**](https://www.llamaindex.ai/), two leading open-source frameworks for building LLM apps. Both offer convenient APIs for implementing RAG with Llama 2 including:\n", "\n", "* Load and split documents\n", "* Embed and store document splits\n", "* Retrieve the relevant context based on the user query\n", "* Call Llama 2 with query and context to generate the answer\n", "\n", "LangChain is a more general purpose and flexible framework for developing LLM apps with RAG capabilities, while LlamaIndex as a data framework focuses on connecting custom data sources to LLMs. The integration of the two may provide the best performant and effective solution to building real world RAG apps. \n", "In our example, for simplicifty, we will use LangChain alone with locally stored PDF data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Install Dependencies\n", "\n", "For this demo, we will be using the Gradio for chatbot UI, Text-generation-inference framework for model serving. \n", "For vector storage and similarity search, we will be using [FAISS](https://github.com/facebookresearch/faiss). \n", "In this example, we will be running everything in a AWS EC2 instance (i.e. [g5.2xlarge]( https://aws.amazon.com/ec2/instance-types/g5/)). g5.2xlarge features one A10G GPU. We recommend running this notebook with at least one GPU equivalent to A10G with at least 16GB video memory. \n", "There are certain techniques to downsize the Llama 2 7B model, so it can fit into smaller GPUs. But it is out of scope here.\n", "\n", "First, let's install all dependencies with PIP. We also recommend you start a dedicated Conda environment for better package management" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "!pip install -r requirements.txt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Data Processing\n", "\n", "First run all the imports and define the path of the data and vector storage after processing. \n", "For the data, we will be using a raw pdf crawled from Llama 2 Getting Started guide on [Meta AI website](https://ai.meta.com/llama/)." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from langchain.embeddings import HuggingFaceEmbeddings\n", "from langchain.vectorstores import FAISS\n", "from langchain.document_loaders import PyPDFDirectoryLoader\n", "from langchain.text_splitter import RecursiveCharacterTextSplitter \n", "\n", "DATA_PATH = 'data' #Your root data folder path\n", "DB_FAISS_PATH = 'vectorstore/db_faiss'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we use the `PyPDFDirectoryLoader` to load the entire directory. You can also use `PyPDFLoader` for loading one single file." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "loader = PyPDFDirectoryLoader(DATA_PATH)\n", "documents = loader.load()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check the length and content of the doc to ensure we have loaded the right document with number of pages as 37." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "print(len(documents), documents[0].page_content[0:100])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Split the loaded documents into smaller chunks. \n", "[`RecursiveCharacterTextSplitter`](https://api.python.langchain.com/en/latest/text_splitter/langchain.text_splitter.RecursiveCharacterTextSplitter.html) is one common splitter that splits long pieces of text into smaller, semantically meaningful chunks. \n", "Other splitters include:\n", "* SpacyTextSplitter\n", "* NLTKTextSplitter\n", "* SentenceTransformersTokenTextSplitter\n", "* CharacterTextSplitter\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "text_splitter = RecursiveCharacterTextSplitter(chunk_size=500, chunk_overlap=10)\n", "splits = text_splitter.split_documents(documents)\n", "print(len(splits), splits[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that we have set `chunk_size` to 500 and `chunk_overlap` to 10. In the spliting, these two parameters can directly affects the quality of the LLM's answers. \n", "Here is a good [guide](https://dev.to/peterabel/what-chunk-size-and-chunk-overlap-should-you-use-4338) on how you should carefully set these two parameters." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we will need to choose an embedding model for our splited documents. \n", "**Embeddings are numerial representations of text**. The default embedding model in HuggingFace Embeddings is `sentence-transformers/all-mpnet-base-v2` with 768 dimension. Below we use a smaller model `all-MiniLM-L6-v2` with dimension 384 so indexing runs faster." ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "embeddings = HuggingFaceEmbeddings(model_name='sentence-transformers/all-MiniLM-L6-v2',\n", " model_kwargs={'device': 'cpu'})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lastly, with splits and choice of the embedding model ready, we want to index them and store all the split chunks as embeddings into the vector storage. \n", "\n", "Vector stores are databases storing embeddings. There're at least 60 [vector stores](https://python.langchain.com/docs/integrations/vectorstores) supported by LangChain, and two of the most popular open source ones are:\n", "* [Chroma](https://www.trychroma.com/): a light-weight and in memory so it's easy to get started with and use for **local development**.\n", "* [FAISS](https://python.langchain.com/docs/integrations/vectorstores/faiss) (Facebook AI Similarity Search): a vector store that supports search in vectors that may not fit in RAM and is appropriate for **production use**. \n", "\n", "Since we are running on a EC2 instance with abundant CPU resources and RAM, we will use FAISS in this example. Note that FAISS can also run on GPUs, where some of the most useful algorithms are implemented there. In that case, install `faiss-gpu` package with PIP instead." ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [], "source": [ "db = FAISS.from_documents(splits, embeddings)\n", "db.save_local(DB_FAISS_PATH)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once you saved database into local path. You can find them as `index.faiss` and `index.pkl`. In the chatbot example, you can then load this database from local and plug it into our retrival process." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model Serving\n", "\n", "In this example, we will be deploying a Llama 2 7B chat HuggingFace model with the Text-generation-inference framework on-permises. \n", "This would allow us to directly wire the API server with our chatbot. \n", "There are alternative solutions to deploy Llama 2 models on-permises as your local API server. \n", "You can find our complete guide [here](https://github.com/meta-llama/llama-recipes/blob/main/recipes/inference/model_servers/llama-on-prem.md)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In a **separate terminal**, run commands below to launch an API server with TGI. This will download model artifacts and store them locally, while launching at the desire port on your localhost. In our case, this is port 8080" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "vscode": { "languageId": "plaintext" } }, "outputs": [], "source": [ "model = meta-llama/Llama-2-7b-chat-hf\n", "volume = $PWD/data\n", "token = #Your own HF tokens\n", "docker run --gpus all --shm-size 1g -e HUGGING_FACE_HUB_TOKEN=$token -p 8080:80 -v $volume:/data ghcr.io/huggingface/text-generation-inference:1.1.0 --model-id $model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once we have the API server up and running, we can run a simple `curl` command to validate our model is working as expected." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "!curl localhost:8080/generate -X POST -H 'Content-Type: application/json' -d '{\"inputs\": \"What is good about Beijing?\", \"parameters\": { \"max_new_tokens\":64}}' #Replace the locahost with the IP visible to the machine running the notebook " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Building the Chatbot UI\n", "\n", "Now we are ready to build the chatbot UI to wire up RAG data and API server. In our example we will be using Gradio to build the Chatbot UI. \n", "Gradio is an open-source Python library that is used to build machine learning and data science demos and web applications. It had been widely used by the community and HuggingFace also used Gradio to build their Chatbots. Other alternatives are: \n", "* [Streamlit](https://streamlit.io/)\n", "* [Dash](https://plotly.com/dash/)\n", "* [Flask](https://flask.palletsprojects.com/en/3.0.x/)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, we start by adding all the imports, paths, constants and set LangChain in debug mode, so it shows clear actions within the chain process." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "import langchain\n", "from queue import Queue\n", "from typing import Any\n", "from langchain.llms.huggingface_text_gen_inference import HuggingFaceTextGenInference\n", "from langchain.callbacks.streaming_stdout import StreamingStdOutCallbackHandler\n", "from langchain.schema import LLMResult\n", "from langchain.embeddings import HuggingFaceEmbeddings\n", "from langchain.vectorstores import FAISS\n", "from langchain.chains import RetrievalQA\n", "from langchain.prompts.prompt import PromptTemplate\n", "from anyio.from_thread import start_blocking_portal #For model callback streaming\n", "\n", "langchain.debug=True \n", "\n", "#vector db path\n", "DB_FAISS_PATH = 'vectorstore/db_faiss'\n", "\n", "#Llama2 TGI models host port\n", "LLAMA2_7B_HOSTPORT = \"http://localhost:8080/\" #Replace the locahost with the IP visible to the machine running the notebook\n", "LLAMA2_13B_HOSTPORT = \"http://localhost:8080/\" #Add your own host ports for model switching. You can host another TGI model on same instance on a different port.\n", "\n", "\n", "model_dict = {\n", " \"7b-chat\" : LLAMA2_7B_HOSTPORT,\n", " \"13b-chat\" : LLAMA2_13B_HOSTPORT,\n", "}\n", "\n", "system_message = {\"role\": \"system\", \"content\": \"You are a helpful assistant.\"}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we load the FAISS vector store" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "embeddings = HuggingFaceEmbeddings(model_name=\"sentence-transformers/all-MiniLM-L6-v2\",\n", " model_kwargs={'device': 'cpu'})\n", "db = FAISS.load_local(DB_FAISS_PATH, embeddings)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we create a TGI llm instance and wire to the API serving port on localhost" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "llm = HuggingFaceTextGenInference(\n", " inference_server_url=LLAMA2_7B_HOSTPORT,\n", " max_new_tokens=512,\n", " top_k=10,\n", " top_p=0.9,\n", " typical_p=0.95,\n", " temperature=0.6,\n", " repetition_penalty=1,\n", " do_sample=True,\n", " streaming=True\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we define the retriever and template for our RetrivalQA chain. For each call of the RetrievalQA, LangChain performs a semantic similarity search of the query in the vector database, then passes the search results as the context to Llama to answer the query about the data stored in the verctor database. \n", "Whereas for the template, this defines the format of the question along with context that we will be sent into Llama for generation. In general, Llama 2 has special prompt format to handle special tokens. In some cases, the serving framework might already have taken care of it. Otherwise, you will need to write customized template to properly handle that.\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "template = \"\"\"\n", "[INST]Use the following pieces of context to answer the question. If no context provided, answer like a AI assistant.\n", "{context}\n", "Question: {question} [/INST]\n", "\"\"\"\n", "\n", "retriever = db.as_retriever(\n", " search_kwargs={\"k\": 6}\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lastly, we can define the retrieval chain for QA" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "qa_chain = RetrievalQA.from_chain_type(\n", " llm=llm, \n", " retriever=retriever, \n", " chain_type_kwargs={\n", " \"prompt\": PromptTemplate(\n", " template=template,\n", " input_variables=[\"context\", \"question\"],\n", " ),\n", " }\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we should have a working chain for QA. Let's test it out before wire it up with UI blocks." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "result = qa_chain({\"query\": \"Why choose Llama?\"})\n", "print(result)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After confirming the validity, we can start building the UI. Before we define the gradio [blocks](https://www.gradio.app/docs/blocks), let's first define the callback streams that we will use later for the streaming feature. \n", "This callback handler will put streaming LLM responses to a queue for gradio UI to render on the fly. " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "job_done = object()\n", "\n", "class MyStream(StreamingStdOutCallbackHandler):\n", " def __init__(self, q) -> None:\n", " self.q = q\n", "\n", " def on_llm_new_token(self, token: str, **kwargs: Any) -> None:\n", " self.q.put(token)\n", "\n", " def on_llm_end(self, response: LLMResult, **kwargs: Any) -> None:\n", " self.q.put(job_done)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can define the gradio UI blocks. \n", "Since we will need to define the UI and handlers in the same place, this will be a large chunk of code. We will add comments in the code for explanation." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "import gradio as gr\n", "\n", "with gr.Blocks() as demo:\n", " #Configure UI layout\n", " chatbot = gr.Chatbot(height = 600)\n", " with gr.Row():\n", " with gr.Column(scale=1):\n", " with gr.Row():\n", " #model selection\n", " model_selector = gr.Dropdown(\n", " list(model_dict.keys()), \n", " value=\"7b-chat\", \n", " label=\"Model\", \n", " info=\"Select the model\", \n", " interactive = True, \n", " scale=1\n", " )\n", " max_new_tokens_selector = gr.Number(\n", " value=512, \n", " precision=0, \n", " label=\"Max new tokens\", \n", " info=\"Adjust max_new_tokens\",\n", " interactive = True, \n", " minimum=1, \n", " maximum=1024, \n", " scale=1\n", " )\n", " with gr.Row():\n", " #hyperparameter selection\n", " temperature_selector = gr.Slider(\n", " value=0.6, \n", " label=\"Temperature\", \n", " info=\"Range 0-2. Controls the creativity of the generated text.\",\n", " interactive = True, \n", " minimum=0.01, \n", " maximum=2, \n", " step=0.01, \n", " scale=1\n", " )\n", " top_p_selector = gr.Slider(\n", " value=0.9, \n", " label=\"Top_p\", \n", " info=\"Range 0-1. Nucleus sampling.\",\n", " interactive = True, \n", " minimum=0.01, \n", " maximum=0.99, \n", " step=0.01, \n", " scale=1\n", " )\n", " with gr.Column(scale=2):\n", " #user input prompt text field\n", " user_prompt_message = gr.Textbox(placeholder=\"Please add user prompt here\", label=\"User prompt\")\n", " with gr.Row():\n", " clear = gr.Button(\"Clear Conversation\", scale=2)\n", " submitBtn = gr.Button(\"Submit\", scale=8)\n", "\n", "\n", " state = gr.State([])\n", "\n", " #handle user message\n", " def user(user_prompt_message, history):\n", " if user_prompt_message != \"\":\n", " return history + [[user_prompt_message, None]]\n", " else:\n", " return history + [[\"Invalid prompts - user prompt cannot be empty\", None]]\n", "\n", " #chatbot logic for configuration, sending the prompts, rendering the streamed back genereations etc\n", " def bot(model_selector, temperature_selector, top_p_selector, max_new_tokens_selector, user_prompt_message, history, messages_history):\n", " dialog = []\n", " bot_message = \"\"\n", " history[-1][1] = \"\"\n", " \n", " dialog = [\n", " {\"role\": \"user\", \"content\": user_prompt_message},\n", " ]\n", " messages_history += dialog\n", " \n", " #Queue for streamed character rendering\n", " q = Queue()\n", "\n", " #Update new llama hyperparameters\n", " llm.inference_server_url = model_selector\n", " llm.temperature = temperature_selector\n", " llm.top_p = top_p_selector\n", " llm.max_new_tokens = max_new_tokens_selector\n", "\n", " #Async task for streamed chain results wired to callbacks we previously defined, so we don't block the UI\n", " async def task(prompt):\n", " ret = await qa_chain.run(prompt, callbacks=[MyStream(q)])\n", " return ret\n", "\n", " with start_blocking_portal() as portal:\n", " portal.start_task_soon(task, user_prompt_message)\n", " while True:\n", " next_token = q.get(True)\n", " if next_token is job_done:\n", " messages_history += [{\"role\": \"assistant\", \"content\": bot_message}]\n", " return history, messages_history\n", " bot_message += next_token\n", " history[-1][1] += next_token\n", " yield history, messages_history\n", "\n", " #init the chat history with default system message \n", " def init_history(messages_history):\n", " messages_history = []\n", " messages_history += [system_message]\n", " return messages_history\n", "\n", " #clean up the user input text field\n", " def input_cleanup():\n", " return \"\"\n", "\n", " #when the user clicks Enter and the user message is submitted\n", " user_prompt_message.submit(\n", " user, \n", " [user_prompt_message, chatbot], \n", " [chatbot], \n", " queue=False\n", " ).then(\n", " bot, \n", " [model_selector, temperature_selector, top_p_selector, max_new_tokens_selector, user_prompt_message, chatbot, state], \n", " [chatbot, state]\n", " ).then(input_cleanup, \n", " [], \n", " [user_prompt_message], \n", " queue=False\n", " )\n", "\n", " #when the user clicks the submit button\n", " submitBtn.click(\n", " user, \n", " [user_prompt_message, chatbot], \n", " [chatbot], \n", " queue=False\n", " ).then(\n", " bot, \n", " [model_selector, temperature_selector, top_p_selector, max_new_tokens_selector, user_prompt_message, chatbot, state], \n", " [chatbot, state]\n", " ).then(\n", " input_cleanup, \n", " [], \n", " [user_prompt_message], \n", " queue=False\n", " )\n", " \n", " #when the user clicks the clear button\n", " clear.click(lambda: None, None, chatbot, queue=False).success(init_history, [state], [state])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lastly, we can launch this demo on our localhost with the command below. " ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running on local URL: http://0.0.0.0:7860\n", "\n", "To create a public link, set `share=True` in `launch()`.\n" ] }, { "data": { "text/html": [ "
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