{ "cells": [ { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Uncomment and run this cell if you're on Colab or Kaggle\n", "# !git clone https://github.com/nlp-with-transformers/notebooks.git\n", "# %cd notebooks\n", "# from install import *\n", "# install_requirements()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using transformers v4.11.3\n", "Using datasets v1.13.0\n", "Using accelerate v0.5.1\n" ] } ], "source": [ "#hide\n", "from utils import *\n", "setup_chapter()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Transformer Anatomy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Transformer Architecture" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Encoder" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Self-Attention" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Scaled dot-product attention" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#hide\n", "\n", "Copy and execute the following cell magic in a new cell to use `bertviz` in JupyterLab:\n", "\n", "```python\n", "%%javascript\n", "require.config({\n", " paths: {\n", " d3: '//cdnjs.cloudflare.com/ajax/libs/d3/3.4.8/d3.min',\n", " jquery: '//ajax.googleapis.com/ajax/libs/jquery/2.0.0/jquery.min',\n", " }\n", "});\n", "```" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 433/433 [00:00<00:00, 95270.09B/s]\n", "100%|██████████| 440473133/440473133 [01:00<00:00, 7224426.06B/s] \n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", "
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Changed orientation of attention matrices.\n * 12/22/18 Jesse Vig Display attention details: query/key vectors\n * 01/01/21 Jesse Vig Change to bertviz-specific naming conventions so as not to interfere with other html elements\n * 01/16/21 Jesse Vig Dark mode\n * 02/06/21 Jesse Vig Move require config from separate jupyter notebook step\n **/\n\nrequire.config({\n paths: {\n d3: '//cdnjs.cloudflare.com/ajax/libs/d3/5.7.0/d3.min',\n jquery: '//ajax.googleapis.com/ajax/libs/jquery/2.0.0/jquery.min',\n }\n});\n\nrequirejs(['jquery', 'd3'],\n function ($, d3) {\n\n const params = window.bertviz_params\n const config = {};\n initialize();\n\n const HEADING_TEXT_SIZE = 16;\n const HEADING_HEIGHT = 42;\n const TEXT_SIZE = 15;\n const MATRIX_WIDTH = 200;\n const BOXWIDTH = TEXT_SIZE * 8;\n const BOXHEIGHT = 26;\n const HEIGHT_PADDING = 100;\n const PADDING_WIDTH = 25;\n const DOT_WIDTH = 70;\n const SOFTMAX_WIDTH = 70;\n const ATTENTION_WIDTH = 150;\n const PALETTE = {\n 'dark': {\n 'attn': '#2994de',\n 'neg': '#ff6318',\n 'pos': '#2090dd',\n 'text': '#bbb',\n 'selected_text': 'white',\n 'heading_text': 'white',\n 'text_highlight_left': \"#1b86cd\",\n 'text_highlight_right': \"#1b86cd\",\n 'vector_border': \"#444\",\n 'connector': \"#8aa4d2\",\n 'background': 'black',\n 'dropdown': 'white',\n 'icon': 'white'\n },\n 'light': {\n 'attn': 'blue',\n 'neg': '#ff6318',\n 'pos': '#0c36d8',\n 'text': '#202020',\n 'selected_text': 'black',\n 'heading_text': 'black',\n 'text_highlight_left': \"#e5e5e5\",\n 'text_highlight_right': \"#478be8\",\n 'vector_border': \"#EEE\",\n 'connector': \"blue\",\n 'background': 'white',\n 'dropdown': 'black',\n 'icon': '#888'\n }\n }\n\n\n const MIN_CONNECTOR_OPACITY = 0\n\n function render() {\n\n var attnData = config.attention[config.filter];\n var leftText = attnData.left_text;\n var rightText = attnData.right_text;\n var queries = attnData.queries[config.layer][config.head];\n var keys = attnData.keys[config.layer][config.head];\n var att = attnData.attn[config.layer][config.head];\n\n $(\"#bertviz #vis\").empty();\n var height = config.initialTextLength * BOXHEIGHT + HEIGHT_PADDING;\n var svg = d3.select(\"#bertviz #vis\")\n .append('svg')\n .attr(\"width\", \"100%\")\n .attr(\"height\", height + \"px\");\n\n d3.select(\"#bertviz\")\n .style(\"background-color\", getColor('background'));\n d3.selectAll(\"#bertviz .dropdown-label\")\n .style(\"color\", getColor('dropdown'))\n\n renderVisExpanded(svg, leftText, rightText, queries, keys);\n renderVisCollapsed(svg, leftText, rightText, att);\n if (config.expanded == true) {\n showExpanded();\n } else {\n showCollapsed();\n }\n }\n\n function renderVisCollapsed(svg, leftText, rightText) {\n\n var posLeftText = 0;\n var posAttention = posLeftText + BOXWIDTH;\n var posRightText = posAttention + ATTENTION_WIDTH + PADDING_WIDTH;\n\n svg = svg.append(\"g\")\n .attr(\"id\", \"collapsed\")\n .attr(\"visibility\", \"hidden\");\n\n renderText(svg, leftText, \"leftText\", posLeftText, false);\n renderAttn(svg, posAttention, posRightText, false);\n renderText(svg, rightText, \"rightText\", posRightText, false);\n }\n\n function renderVisExpanded(svg, leftText, rightText, queries, keys) {\n\n var posLeftText = 0;\n var posQueries = posLeftText + BOXWIDTH + PADDING_WIDTH;\n var posKeys = posQueries + MATRIX_WIDTH + PADDING_WIDTH * 1.5;\n var posProduct = posKeys + MATRIX_WIDTH + PADDING_WIDTH;\n var posDotProduct = posProduct + MATRIX_WIDTH + PADDING_WIDTH;\n var posRightText = posDotProduct + BOXHEIGHT + PADDING_WIDTH;\n\n svg = svg.append(\"g\")\n .attr(\"id\", \"expanded\")\n .attr(\"visibility\", \"hidden\");\n\n renderHeadingsExpanded(svg, posQueries, posKeys, posProduct, posDotProduct, posRightText);\n renderText(svg, leftText, \"leftText\", posLeftText, true);\n renderTextQueryLines(svg, posQueries - PADDING_WIDTH, posQueries - 2);\n renderVectors(svg, \"keys\", keys, posKeys);\n renderQueryKeyLines(svg, posQueries + MATRIX_WIDTH + 1, posKeys - 3);\n renderVectors(svg, \"queries\", queries, posQueries);\n renderHorizLines(svg, \"hlines1\", posProduct - PADDING_WIDTH + 1, posProduct - 1);\n renderVectors(svg, \"product\", keys, posProduct);\n renderHorizLines(svg, \"hlines2\", posDotProduct - PADDING_WIDTH + 2, posDotProduct);\n var dotProducts = new Array(rightText.length).fill(0);\n renderDotProducts(svg, dotProducts, posDotProduct);\n renderText(svg, rightText, \"rightText\", posRightText, true);\n renderHorizLines(svg, \"hlines3\", posRightText - PADDING_WIDTH - 2, posRightText);\n renderVectorHighlights(svg, \"key-vector-highlights\", posKeys);\n renderVectorHighlights(svg, \"product-vector-highlights\", posProduct)\n }\n\n function renderHeadingsExpanded(svg, posQueries, posKeys, posProduct, posDotProduct, posSoftmax) {\n var headingContainer = svg.append(\"svg:g\")\n .attr(\"id\", \"heading\")\n\n var queryHeadingContainer = headingContainer.append(\"text\")\n .attr(\"x\", posQueries + 68)\n .attr(\"y\", HEADING_HEIGHT - 12)\n .attr(\"height\", BOXHEIGHT)\n .attr(\"width\", MATRIX_WIDTH)\n .style('fill', getColor('heading_text'));\n\n queryHeadingContainer.append('tspan')\n .text('Query ')\n .attr(\"y\", HEADING_HEIGHT - 12)\n .attr(\"font-size\", HEADING_TEXT_SIZE + \"px\");\n\n queryHeadingContainer.append('tspan')\n .text('q')\n .attr(\"y\", HEADING_HEIGHT - 12)\n .attr(\"font-size\", HEADING_TEXT_SIZE + \"px\");\n\n var keyHeadingContainer = headingContainer.append(\"text\")\n .attr(\"x\", posKeys + 73)\n .attr(\"y\", HEADING_HEIGHT - 12)\n .attr(\"height\", BOXHEIGHT)\n .attr(\"width\", MATRIX_WIDTH)\n .attr(\"font-size\", HEADING_TEXT_SIZE + \"px\")\n .style('fill', getColor('heading_text'));\n\n keyHeadingContainer.append('tspan')\n .text('Key ')\n .style('font-size', HEADING_TEXT_SIZE + \"px\")\n .attr(\"y\", HEADING_HEIGHT - 12);\n\n keyHeadingContainer.append('tspan')\n .text('k ')\n .style('font-size', HEADING_TEXT_SIZE + \"px\")\n .attr(\"y\", HEADING_HEIGHT - 12);\n\n var productHeadingContainer = headingContainer.append(\"text\")\n .attr(\"x\", posProduct + 28)\n .attr(\"y\", HEADING_HEIGHT - 12)\n .attr(\"height\", BOXHEIGHT)\n .attr(\"width\", MATRIX_WIDTH)\n .attr(\"font-size\", HEADING_TEXT_SIZE + \"px\")\n .style('fill', getColor('heading_text'));\n\n productHeadingContainer.append('tspan')\n .text('q \\u00D7 k (elementwise)')\n .style('font-size', HEADING_TEXT_SIZE + \"px\")\n .attr(\"y\", HEADING_HEIGHT - 12);\n\n var dotProductHeadingContainer = headingContainer.append(\"text\")\n .attr(\"x\", posDotProduct - 6)\n .attr(\"y\", HEADING_HEIGHT - 12)\n .attr(\"height\", BOXHEIGHT)\n .attr(\"width\", MATRIX_WIDTH)\n .attr(\"font-size\", HEADING_TEXT_SIZE + \"px\")\n .style('fill', getColor('heading_text'));\n\n dotProductHeadingContainer.append('tspan')\n .text('q')\n .style('font-size', HEADING_TEXT_SIZE + \"px\")\n .attr(\"y\", HEADING_HEIGHT - 12);\n\n dotProductHeadingContainer.append('tspan')\n .text(' \\u2219 k')\n .style('font-size', HEADING_TEXT_SIZE + \"px\")\n .attr(\"y\", HEADING_HEIGHT - 12);\n\n headingContainer.append(\"text\")\n .attr(\"x\", posSoftmax + 9)\n .attr(\"y\", HEADING_HEIGHT - 12)\n .attr(\"height\", BOXHEIGHT)\n .attr(\"width\", SOFTMAX_WIDTH)\n .attr(\"font-size\", HEADING_TEXT_SIZE + \"px\")\n .style(\"text-anchor\", \"start\")\n .style('fill', getColor('heading_text'))\n .text(\"Softmax\");\n\n headingContainer.append(\"text\")\n .attr(\"id\", \"placeholder\")\n .attr(\"x\", posProduct + 55)\n .attr(\"y\", HEADING_HEIGHT + 55)\n .attr(\"height\", BOXHEIGHT)\n .attr(\"width\", SOFTMAX_WIDTH + MATRIX_WIDTH + DOT_WIDTH)\n .attr(\"font-size\", 20 + \"px\")\n .text(\"No token selected\")\n .attr(\"fill\", getColor('text_highlighted'));\n }\n\n function renderHorizLines(svg, id, start_pos, end_pos) {\n var attnMatrix = config.attention[config.filter].attn[config.layer][config.head];\n var linesContainer = svg.append(\"svg:g\")\n .attr(\"id\", id);\n linesContainer.selectAll(\"g\")\n .data(attnMatrix)\n .enter()\n .append(\"g\") // Add group for each source token\n .classed('horiz-line-group', true)\n .style(\"opacity\", 0)\n .attr(\"source-index\", function (d, i) { // Save index of source token\n return i;\n })\n .selectAll(\"line\")\n .data(function (d) { // Loop over all target tokens\n return d;\n })\n .enter() // When entering\n .append(\"line\")\n .attr(\"x1\", start_pos)\n .attr(\"y1\", function (d, targetIndex) {\n return targetIndex * BOXHEIGHT + HEADING_HEIGHT + BOXHEIGHT / 2;\n })\n .attr(\"x2\", end_pos)\n .attr(\"y2\", function (d, targetIndex) {\n return targetIndex * BOXHEIGHT + HEADING_HEIGHT + BOXHEIGHT / 2;\n })\n .attr(\"stroke-width\", 1.9)\n .attr(\"stroke\", getColor('connector'))\n .attr(\"stroke-opacity\", function (d) {\n if (d==0) {\n return 0;\n } else {\n return Math.max(MIN_CONNECTOR_OPACITY, Math.tanh(Math.abs(2 * d)));\n }\n });\n }\n\n function renderVectorHighlights(svg, id, start_pos) {\n var attnMatrix = config.attention[config.filter].attn[config.layer][config.head];\n var vectorHighlightsContainer = svg.append(\"svg:g\")\n .attr(\"id\", id);\n vectorHighlightsContainer.selectAll(\"g\")\n .data(attnMatrix)\n .enter()\n .append(\"g\") // Add group for each source token\n .classed('vector-highlight-group', true)\n .style(\"opacity\", 0)\n .attr(\"source-index\", function (d, i) { // Save index of source token\n return i;\n })\n .selectAll(\"rect\")\n .data(function (d) { // Loop over all target tokens\n return d;\n })\n .enter() // When entering\n .append(\"rect\")\n .attr(\"x\", start_pos - 1)\n .attr(\"y\", function (d, targetIndex) {\n return targetIndex * BOXHEIGHT + HEADING_HEIGHT;\n })\n .attr(\"height\", BOXHEIGHT - 5)\n .attr(\"width\", MATRIX_WIDTH + 3)\n .style(\"fill-opacity\", 0)\n .attr(\"stroke-width\", 1.9)\n .attr(\"stroke\", getColor('connector'))\n .attr(\"stroke-opacity\", function (d) {\n return Math.tanh(Math.abs(2*d) );\n });\n }\n\n function renderQueryKeyLines(svg, start_pos, end_pos) {\n var attnMatrix = config.attention[config.filter].attn[config.layer][config.head];\n var linesContainer = svg.append(\"svg:g\");\n var lineFunction = d3.line()\n .x(function (d) {\n return d.x;\n })\n .y(function (d) {\n return d.y;\n });\n\n linesContainer.selectAll(\"g\")\n .data(attnMatrix)\n .enter()\n .append(\"g\") // Add group for each source token\n .classed('qk-line-group', true)\n .style(\"opacity\", 0)\n .attr(\"source-index\", function (d, i) { // Save index of source token\n return i;\n })\n .selectAll(\"path\")\n .data(function (d) { // Loop over all target tokens\n return d;\n })\n .enter() // When entering\n .append(\"path\")\n .attr(\"d\", function (d, targetIndex) {\n var sourceIndex = +this.parentNode.getAttribute(\"source-index\");\n var y1 = sourceIndex * BOXHEIGHT + HEADING_HEIGHT + BOXHEIGHT / 2;\n var y2 = targetIndex * BOXHEIGHT + HEADING_HEIGHT + BOXHEIGHT / 2;\n var x1 = start_pos;\n var x2 = (start_pos + end_pos) / 2 + 1;\n var x3 = end_pos;\n\n return lineFunction([\n {'x': x1, 'y': y1},\n {'x': x2, 'y': y1},\n {'x': x2, 'y': y2},\n {'x': x3, 'y': y2},\n\n ])\n })\n .attr(\"fill\", \"none\")\n .attr(\"stroke-width\", 1.9)\n .attr(\"stroke\", getColor('connector'))\n .attr(\"stroke-opacity\", function (d) {\n if (d==0) {\n return 0;\n } else {\n return Math.max(MIN_CONNECTOR_OPACITY, Math.tanh(Math.abs(2 * d)));\n }\n });\n }\n\n function renderTextQueryLines(svg, start_pos, end_pos) {\n var attnData = config.attention[config.filter];\n var leftText = attnData.left_text; // Use for shape not values\n var linesContainer = svg.append(\"svg:g\");\n linesContainer.selectAll(\"line\")\n .data(leftText)\n .enter()\n .append(\"line\") // Add line\n .classed('text-query-line', true)\n .style(\"opacity\", 0)\n .attr(\"x1\", start_pos)\n .attr(\"y1\", function (d, i) {\n return i * BOXHEIGHT + HEADING_HEIGHT + BOXHEIGHT / 2;\n })\n .attr(\"x2\", end_pos)\n .attr(\"y2\", function (d, i) {\n return i * BOXHEIGHT + HEADING_HEIGHT + BOXHEIGHT / 2;\n })\n .attr(\"stroke-width\", 1.9)\n .attr(\"stroke\", getColor('connector'))\n }\n\n function renderAttn(svg, start_pos, end_pos, expanded) {\n var attnMatrix = config.attention[config.filter].attn[config.layer][config.head];\n var attnContainer = svg.append(\"svg:g\");\n attnContainer.selectAll(\"g\")\n .data(attnMatrix)\n .enter()\n .append(\"g\") // Add group for each source token\n .classed('attn-line-group', true)\n .attr(\"source-index\", function (d, i) { // Save index of source token\n return i;\n })\n .selectAll(\"line\")\n .data(function (d) { // Loop over all target tokens\n return d;\n })\n .enter() // When entering\n .append(\"line\")\n .attr(\"x1\", start_pos)\n .attr(\"y1\", function (d) {\n var sourceIndex = +this.parentNode.getAttribute(\"source-index\");\n return sourceIndex * BOXHEIGHT + HEADING_HEIGHT + BOXHEIGHT / 2;\n })\n .attr(\"x2\", end_pos)\n .attr(\"y2\", function (d, targetIndex) {\n return targetIndex * BOXHEIGHT + HEADING_HEIGHT + BOXHEIGHT / 2;\n })\n .attr(\"stroke-width\", 3)\n .attr(\"stroke\", getColor('attn'))\n .attr(\"stroke-opacity\", function (d) {\n return d;\n });\n }\n\n function renderVectors(svg, id, vectors, leftPos) {\n var vectorContainer = svg.append(\"svg:g\")\n .attr(\"id\", id);\n\n if (id == \"product\") {\n vectorContainer.style(\"opacity\", 0);\n }\n\n var vector = vectorContainer.append(\"g\") //.classed(\"attention_boxes\", true) // Add outer group\n .selectAll(\"g\")\n .data(vectors) // Loop over query/key vectors, one for each token\n .enter()\n .append(\"g\") // Add (sub) group for each token\n .classed('vector', true)\n .attr(\"data-index\", function (d, i) {\n return i;\n }) // make parent index available from DOM\n\n if (id == \"queries\") {\n vector.append(\"rect\")\n .classed(\"vectorborder\", true)\n .attr(\"x\", leftPos - 1)\n .attr(\"y\", function (d, i) {\n return i * BOXHEIGHT + HEADING_HEIGHT;\n })\n .attr(\"width\", MATRIX_WIDTH + 2)\n .attr(\"height\", BOXHEIGHT - 5)\n .style(\"fill-opacity\", 0)\n .style(\"stroke-width\", 1)\n .style(\"stroke\", getColor('vector_border'))\n .attr(\"rx\", 1)\n .attr(\"ry\", 1)\n .style(\"stroke-opacity\", 1)\n } else if (id == \"keys\") {\n vector.append(\"rect\")\n .classed(\"vectorborder\", true)\n .attr(\"x\", leftPos - 1)\n .attr(\"y\", function (d, i) {\n return i * BOXHEIGHT + HEADING_HEIGHT;\n })\n .attr(\"width\", MATRIX_WIDTH + 2)\n .attr(\"height\", BOXHEIGHT - 6)\n .style(\"fill-opacity\", 0)\n .style(\"stroke-width\", 1)\n .style(\"stroke\", getColor('vector_border'))\n .attr(\"rx\", 1)\n .attr(\"ry\", 1)\n .style(\"stroke-opacity\", 1)\n } else {\n vector.append(\"rect\")\n .classed(\"vectorborder\", true)\n .attr(\"x\", leftPos - 1)\n .attr(\"y\", function (d, i) {\n return i * BOXHEIGHT + HEADING_HEIGHT;\n })\n .attr(\"width\", MATRIX_WIDTH + 2)\n .attr(\"height\", BOXHEIGHT - 6)\n .style(\"fill-opacity\", 0)\n .style(\"stroke-width\", 1)\n .style(\"stroke\", getColor('vector_border'))\n .attr(\"rx\", 1)\n .attr(\"ry\", 1)\n .style(\"stroke-opacity\", 1)\n }\n\n vector.selectAll(\".element\")\n .data(function (d) {\n return d;\n }) // loop over elements within each query vector\n .enter() // When entering\n .append(\"rect\") // Add rect element for each token index (j), vector index (i)\n .classed('element', true)\n .attr(\"x\", function (d, i) { // i is vector index, j is index of token\n return leftPos + i * MATRIX_WIDTH / config.vectorSize;\n })\n .attr(\"y\", function (d, i) {\n var j = +this.parentNode.getAttribute(\"data-index\");\n return j * BOXHEIGHT + HEADING_HEIGHT;\n })\n .attr(\"width\", MATRIX_WIDTH / config.vectorSize)\n .attr(\"height\", BOXHEIGHT - 6)\n .attr(\"rx\", .7)\n .attr(\"ry\", .7)\n .attr(\"data-value\", function (d) {\n return d\n })\n .style(\"fill\", function (d) {\n if (d >= 0) {\n return getColor('pos');\n } else {\n return getColor('neg')\n }\n })\n .style(\"opacity\", function (d) {\n return Math.tanh(Math.abs(d) / 4);\n })\n }\n\n function renderText(svg, text, id, leftPos, expanded) {\n\n var tokenContainer = svg.append(\"svg:g\")\n .attr(\"id\", id)\n .selectAll(\"g\")\n .data(text)\n .enter()\n .append(\"g\");\n if (id == \"leftText\" || id == \"rightText\") {\n var fillColor;\n if (id == \"rightText\") {\n fillColor = getColor('text_highlight_right');\n }\n if (id == \"leftText\") {\n fillColor = getColor('text_highlight_left');\n }\n\n tokenContainer.append(\"rect\")\n .classed(\"highlight\", true)\n .attr(\"fill\", fillColor)\n .style(\"opacity\", 0.0)\n .attr(\"height\", BOXHEIGHT)\n .attr(\"width\", BOXWIDTH)\n .attr(\"x\", leftPos)\n .attr(\"y\", function (d, i) {\n return i * BOXHEIGHT + HEADING_HEIGHT - 1;\n });\n }\n\n var offset;\n if (id == \"leftText\") {\n offset = -8;\n } else {\n offset = 8;\n }\n\n var textContainer = tokenContainer.append(\"text\")\n .classed(\"token\", true)\n .text(function (d) {\n return d;\n })\n .attr(\"font-size\", TEXT_SIZE + \"px\")\n .style(\"fill\", getColor('text'))\n .style(\"cursor\", \"default\")\n .style(\"-webkit-user-select\", \"none\")\n .attr(\"x\", leftPos + offset)\n .attr(\"y\", function (d, i) {\n return i * BOXHEIGHT + HEADING_HEIGHT;\n })\n .attr(\"height\", BOXHEIGHT)\n .attr(\"width\", BOXWIDTH)\n .attr(\"dy\", TEXT_SIZE);\n\n if (id == \"leftText\") {\n textContainer.style(\"text-anchor\", \"end\")\n .attr(\"dx\", BOXWIDTH - 2);\n tokenContainer.on(\"mouseover\", function (d, index) {\n config.index = index;\n highlightSelection(svg, index);\n showComputation(svg, index);\n });\n tokenContainer.on(\"mouseleave\", function () {\n config.index = null;\n unhighlightSelection(svg);\n hideComputation(svg)\n });\n\n if (expanded) {\n tokenContainer.append('path')\n .attr(\"d\", \"M256 8C119 8 8 119 8 256s111 248 248 248 248-111 248-248S393 8 256 8zM124 296c-6.6 0-12-5.4-12-12v-56c0-6.6 5.4-12 12-12h264c6.6 0 12 5.4 12 12v56c0 6.6-5.4 12-12 12H124z\")\n .classed(\"minus-sign\", true)\n .attr(\"fill\", getColor('icon'))\n .style('font-size', \"17px\")\n .style('font-weight', 900)\n .style('opacity', 0)\n .attr(\"dy\", 17)\n .attr(\"transform\", function (d, i) {\n var x = leftPos + 5;\n var y = i * BOXHEIGHT + HEADING_HEIGHT + 4;\n return \"translate(\" + x + \" \" + y + \")\" +\n \"scale(0.03 0.03) \"\n });\n tokenContainer.append('rect')\n .attr(\"x\", leftPos + 5)\n .attr(\"y\", function (d, i) {\n return i * BOXHEIGHT + HEADING_HEIGHT + 4;\n })\n .style('opacity', 0)\n .attr(\"dy\", 17)\n .attr(\"height\", 16)\n .attr(\"width\", 16)\n .on(\"click\", function (d, i) {\n config.expanded = false;\n showCollapsed();\n })\n .on(\"mouseover\", function (d, i) {\n d3.select(this).style(\"cursor\", \"pointer\");\n })\n .on(\"mouseout\", function (d, i) {\n d3.select(this).style(\"cursor\", \"default\");\n })\n\n } else {\n tokenContainer.append('path')\n .attr(\"d\", \"M256 8C119 8 8 119 8 256s111 248 248 248 248-111 248-248S393 8 256 8zm144 276c0 6.6-5.4 12-12 12h-92v92c0 6.6-5.4 12-12 12h-56c-6.6 0-12-5.4-12-12v-92h-92c-6.6 0-12-5.4-12-12v-56c0-6.6 5.4-12 12-12h92v-92c0-6.6 5.4-12 12-12h56c6.6 0 12 5.4 12 12v92h92c6.6 0 12 5.4 12 12v56z\")\n .classed(\"plus-sign\", true)\n .attr(\"fill\", getColor('icon'))\n .style('font-size', \"17px\")\n .style('font-weight', 900)\n .style('opacity', 0)\n .attr(\"dy\", 17)\n .attr(\"transform\", function (d, i) {\n var x = leftPos + 5;\n var y = i * BOXHEIGHT + HEADING_HEIGHT + 4;\n return \"translate(\" + x + \" \" + y + \")\" +\n \"scale(0.03 0.03) \"\n });\n tokenContainer.append('rect')\n .attr(\"x\", leftPos + 5)\n .attr(\"y\", function (d, i) {\n return i * BOXHEIGHT + HEADING_HEIGHT + 4;\n })\n .style('opacity', 0)\n .attr(\"dy\", 17)\n .attr(\"height\", 16)\n .attr(\"width\", 16)\n .on(\"click\", function (d, i) {\n config.expanded = true;\n showExpanded();\n })\n .on(\"mouseover\", function (d, i) {\n d3.select(this).style(\"cursor\", \"pointer\");\n })\n .on(\"mouseout\", function (d, i) {\n d3.select(this).style(\"cursor\", \"default\");\n })\n }\n }\n }\n\n function updateTextAttention(svg, attn) {\n var container = svg.select('#rightText');\n container.selectAll(\".highlight\")\n .data(attn)\n .style(\"opacity\", function (d) {\n return d;\n })\n }\n\n function renderDotProducts(svg, dotProducts, leftPos) {\n svg.append(\"svg:g\")\n .attr(\"id\", \"dotproducts\")\n .style(\"opacity\", 0)\n .selectAll(\"rect\")\n .data(dotProducts)\n .enter()\n .append(\"rect\")\n .classed('dotproduct', true)\n .attr(\"x\", leftPos + 1)\n .attr(\"y\", function (d, i) {\n return i * BOXHEIGHT + HEADING_HEIGHT;\n })\n .attr(\"height\", BOXHEIGHT - 4)\n .attr(\"width\", BOXHEIGHT - 4)\n .style(\"stroke-width\", 1.2)\n .style(\"stroke\", getColor('vector_border'))\n .style(\"stroke-opacity\", 1)\n .style(\"fill-opacity\", 0)\n .attr(\"rx\", 2)\n .attr(\"ry\", 2)\n }\n\n function updateDotProducts(svg, dotProducts) {\n var vectorContainer = svg.select('#dotproducts').style(\"opacity\", 1);\n vectorContainer.selectAll(\".dotproduct\")\n .data(dotProducts)\n .style(\"fill\", function (d) {\n if (d >= 0) {\n return getColor('pos');\n } else {\n return getColor('neg');\n }\n })\n .style(\"fill-opacity\", function (d) {\n return Math.tanh(Math.abs(d) / 4);\n })\n .style(\"stroke\", function (d) {\n if (d >= 0) {\n return getColor('pos');\n } else {\n return getColor('neg');\n }\n })\n .style(\"stroke-opacity\", function (d) {\n // Set border to slightly higher opacity\n return Math.max(Math.tanh(Math.abs(d) / 2), .35);\n })\n .attr(\"data-value\", function (d) {\n return d\n })\n }\n\n function updateSoftmax(svg, softmax) {\n var vectorContainer = svg.select('#softmaxes').style(\"opacity\", 1);\n vectorContainer.selectAll(\".softmax\")\n .data(softmax)\n .attr(\"width\", function (d) {\n return Math.max(d * SOFTMAX_WIDTH, 1);\n })\n .attr(\"data-value\", function (d) {\n return d\n })\n\n }\n\n function highlightSelection(svg, index) {\n svg.select(\"#queries\")\n .selectAll(\".vector\")\n .style(\"opacity\", 1);\n svg.select(\"#queries\")\n .selectAll(\".vectorborder\")\n .style(\"stroke\", function (d, i) {\n return i == index ? getColor('connector') : getColor('vector_border');\n })\n .style(\"stroke-width\", function (d, i) {\n return i == index ? 1.9 : 1;\n })\n ;\n svg.select(\"#queries\")\n .select(\".matrixborder\")\n .style(\"stroke-opacity\", 0);\n svg.select(\"#leftText\")\n .selectAll(\".highlight\")\n .style(\"opacity\", function (d, i) {\n return i == index ? 1.0 : 0.0;\n });\n svg.select(\"#leftText\")\n .selectAll(\".token\")\n .style(\"fill\", function (d, i) {\n return i == index ? getColor('selected_text') : getColor('text');\n });\n if (config.expanded) {\n svg.select(\"#leftText\")\n .selectAll(\".minus-sign\")\n .style(\"opacity\", function (d, i) {\n return i == index ? 1.0 : 0.0;\n })\n } else {\n svg.select(\"#leftText\")\n .selectAll(\".plus-sign\")\n .style(\"opacity\", function (d, i) {\n return i == index ? 1.0 : 0.0;\n })\n }\n svg.selectAll(\".i-index\")\n .text(index);\n svg.selectAll(\".attn-line-group\")\n .style(\"opacity\", function (d, i) {\n return i == index ? 1.0 : 0.0;\n });\n svg.selectAll(\".qk-line-group\")\n .style(\"opacity\", function (d, i) {\n return i == index ? 1.0 : 0.0;\n });\n if (config.bidirectional) {\n svg.select(\"#keys\")\n .selectAll(\".vectorborder\")\n .style(\"stroke-opacity\", 1);\n } else {\n svg.select(\"#product\")\n .selectAll(\".vector\")\n .style(\"opacity\", function (d, i) {\n return i <= index ? 1.0 : 0.0;\n });\n svg.select(\"#dotproducts\")\n .selectAll(\"rect\")\n .style(\"opacity\", function (d, i) {\n return i <= index ? 1.0 : 0.0;\n });\n }\n svg.select('#hlines1')\n .selectAll(\".horiz-line-group\")\n .style(\"opacity\", function (d, i) {\n return i == index ? 1.0 : 0.0;\n });\n svg.select('#hlines2')\n .selectAll(\".horiz-line-group\")\n .style(\"opacity\", function (d, i) {\n return i == index ? 1.0 : 0.0;\n });\n svg.select('#hlines3')\n .selectAll(\".horiz-line-group\")\n .style(\"opacity\", function (d, i) {\n return i == index ? 1.0 : 0.0;\n });\n svg.select('#key-vector-highlights')\n .selectAll(\".vector-highlight-group\")\n .style(\"opacity\", function (d, i) {\n return i == index ? 1.0 : 0.0;\n });\n svg.select('#product-vector-highlights')\n .selectAll(\".vector-highlight-group\")\n .style(\"opacity\", function (d, i) {\n return i == index ? 1.0 : 0.0;\n });\n svg.selectAll(\".text-query-line\")\n .style(\"opacity\", function (d, i) {\n return i == index ? 1.0 : 0.0;\n })\n }\n\n function unhighlightSelection(svg) {\n svg.select(\"#queries\")\n .selectAll(\".vector\")\n .style(\"opacity\", 1.0);\n svg.select(\"#queries\")\n .selectAll(\".vectorborder\")\n .style(\"stroke\", getColor('vector_border'))\n .style(\"stroke-width\", 1);\n svg.select(\"#queries\")\n .select(\".matrixborder\")\n .style(\"stroke-opacity\", 1);\n svg.select(\"#leftText\")\n .selectAll(\".highlight\")\n .style(\"opacity\", 0.0);\n svg.select(\"#leftText\")\n .selectAll(\".token\")\n .style(\"fill\", getColor('text'));\n svg.select(\"#leftText\")\n .selectAll(\".minus-sign\")\n .style(\"opacity\", 0);\n svg.select(\"#leftText\")\n .selectAll(\".plus-sign\")\n .style(\"opacity\", 0);\n svg.selectAll(\".i-index\")\n .text(\"i\");\n if (!config.expanded) {\n svg.selectAll(\".attn-line-group\")\n .style(\"opacity\", 1)\n }\n svg.selectAll(\".qk-line-group\")\n .style(\"opacity\", 0);\n svg.selectAll(\".horiz-line-group\")\n .style(\"opacity\", 0);\n svg.selectAll(\".vector-highlight-group\")\n .style(\"opacity\", 0);\n svg.selectAll(\".text-query-line\")\n .style(\"opacity\", 0);\n\n if (!config.bidirectional) {\n svg.select(\"#keys\")\n .selectAll(\".vector\")\n .style(\"opacity\", 1);\n svg.select(\"#right_text\")\n .selectAll(\"text\")\n .style(\"opacity\", 1);\n }\n }\n\n function showComputation(svg, query_index) {\n var attnData = config.attention[config.filter];\n var query_vector = attnData.queries[config.layer][config.head][query_index];\n var keys = attnData.keys[config.layer][config.head];\n var att = attnData.attn[config.layer][config.head][query_index];\n\n var seq_len = keys.length;\n var productVectors = [];\n var dotProducts = [];\n for (var i = 0; i < seq_len; i++) {\n var key_vector = keys[i];\n var productVector = [];\n var dotProduct = 0;\n for (var j = 0; j < config.vectorSize; j++) {\n var product = query_vector[j] * key_vector[j];\n productVector.push(product); // Normalize to be on similar scale as query/key\n dotProduct += product;\n }\n productVectors.push(productVector);\n var scaledDotProduct = dotProduct / Math.sqrt(config.vectorSize)\n dotProducts.push(scaledDotProduct);\n }\n updateVectors(svg, 'product', productVectors);\n updateDotProducts(svg, dotProducts);\n updateSoftmax(svg, att);\n updateTextAttention(svg, att);\n svg.select(\"#placeholder\").style(\"opacity\", 0);\n\n }\n\n function hideComputation(svg) {\n svg.select(\"#product\").style(\"opacity\", 0);\n svg.select(\"#dotproducts\").style(\"opacity\", 0);\n svg.select(\"#softmaxes\").style(\"opacity\", 0);\n svg.select('#rightText').selectAll(\"rect\").style(\"opacity\", 0);\n svg.select(\"#placeholder\").style(\"opacity\", 1);\n }\n\n function updateVectors(svg, id, data) {\n var vectorContainer = svg.select('#' + id).style(\"opacity\", 1);\n var vectors = vectorContainer.selectAll(\".vector\");\n vectors\n .data(data)\n .selectAll(\".element\") // loop over elements rects within each vector\n .data(function (d) {\n return d;\n }) // Bind them to array of elements from parent array\n .style(\"fill\", function (d) {\n\n if (d >= 0) {\n return getColor('pos');\n } else {\n return getColor('neg');\n }\n })\n .attr(\"data-value\", function (d) {\n return d\n })\n .style(\"opacity\", function (d) {\n return Math.tanh(Math.abs(d) / 4);\n });\n }\n\n function showCollapsed() {\n if (config.index != null) {\n var svg = d3.select(\"#bertviz #vis\");\n highlightSelection(svg, config.index);\n }\n d3.select(\"#bertviz #expanded\").attr(\"visibility\", \"hidden\");\n d3.select(\"#bertviz #collapsed\").attr(\"visibility\", \"visible\");\n }\n\n function showExpanded() {\n if (config.index != null) {\n var svg = d3.select(\"#vis\");\n highlightSelection(svg, config.index);\n showComputation(svg, config.index);\n }\n d3.select(\"#bertviz #expanded\").attr(\"visibility\", \"visible\");\n d3.select(\"#bertviz #collapsed\").attr(\"visibility\", \"hidden\")\n }\n\n function getColor(name) {\n return PALETTE[config.mode][name]\n }\n\n function initialize() {\n config.attention = params['attention'];\n config.filter = params['default_filter'];\n var attentionFilter = config.attention[config.filter];\n config.nLayers = attentionFilter['attn'].length;\n config.nHeads = attentionFilter['attn'][0].length;\n config.vectorSize = attentionFilter['queries'][0][0][0].length; // Layer 0, head 0, position 0 length\n config.headVis = new Array(config.nHeads).fill(true);\n config.initialTextLength = attentionFilter.right_text.length;\n config.expanded = false;\n config.bidirectional = params['bidirectional'];\n config.mode = params['display_mode'];\n config.layer = (params['layer'] == null ? 0 : params['layer'])\n config.head = (params['head'] == null ? 0 : params['head'])\n\n\n const layerSelect = $(\"#bertviz #layer\");\n layerSelect.empty();\n for (var i = 0; i < config.nLayers; i++) {\n layerSelect.append($(\"