{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Transformer Architecture:\n", "Encoders, Decoders, Encoder-Decoder " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Paper: Attention is All You Need, Vaswani" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The transformer architecture has two parts, the encoder and the decoder." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Encoder:\n", "The encoder accepts inputs that represent text. It converts these words and texts into numerical representations. \n", "These numerical representations can also be called Embeddings or Features.\n", "The Encoder uses the self-attention mechanism as it's main component. It is bi-directional.\n", "\n", "An example of the encoders only architecture is BERT which is the most popular model of it's kind.\n", "\n" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "![image.png](attachment:image.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The encoder takes input the three words and converts them into a numerical representation of each word.\n", "The encoder converts those three sequence of words into the shown sequence of numbers. \n", "The encoder outputs exactly one sequence of numbers per word.\n", "This numerical representation can also be called a feature vector or a feature tensor." ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "![image.png](attachment:image.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Decoder: \n", "The decoder is similar to the encoder. It can also accept text inputs. \n", "It uses a similar method as the encoder which is the masked self attention mechanism as well.\n", "It differs from the encoder in the sense that it is uni-directional and it is traditionally used in an auto regressive manner. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Encoder Decoder:\n", "Combining the two parts results in an encoder-decoder or a sequence to sequence transformer. \n", "The encoder accepts inputs and computes a high level representation of those inputs. These outputs are then passed to the decoder. \n", "The decoder uses the encoders outputs as inputs along side other inputs to generate a prediction. \n", "It then provides outputs which is reused in future iterations hence the term auto-regressive." ] }, { "cell_type": "markdown", "metadata": {}, "source": [] } ], "metadata": { "language_info": { "name": "python" } }, "nbformat": 4, "nbformat_minor": 2 }