* 2. Include this script: * 3. Create charts with minimal configuration - colors are auto-applied! */ (function() { 'use strict'; // ========================================================================== // READ COLORS FROM CSS CUSTOM PROPERTIES // This ensures chart colors stay in sync with the theme // ========================================================================== /** * Get a CSS custom property value from :root */ function getCSSVar(name, fallback = '') { if (typeof getComputedStyle === 'undefined') return fallback; const value = getComputedStyle(document.documentElement).getPropertyValue(name).trim(); return value || fallback; } /** * Build palette from CSS custom properties (with fallbacks) */ function buildPaletteFromCSS() { return { // Primary brand colors dartmouthGreen: getCSSVar('--dartmouth-green', '#00693e'), textPrimary: getCSSVar('--text-primary', '#0a2518'), textSecondary: getCSSVar('--text-secondary', '#0a3d23'), // Chart colors (from CSS --chart-color-N variables) chartColors: [ getCSSVar('--chart-color-1', '#00693e'), getCSSVar('--chart-color-2', '#267aba'), getCSSVar('--chart-color-3', '#ffa00f'), getCSSVar('--chart-color-4', '#9d162e'), getCSSVar('--chart-color-5', '#8a6996'), getCSSVar('--chart-color-6', '#a5d75f'), getCSSVar('--chart-color-7', '#003c73'), getCSSVar('--chart-color-8', '#d94415'), getCSSVar('--chart-color-9', '#643c20'), getCSSVar('--chart-color-10', '#c4dd88'), getCSSVar('--chart-color-11', '#f5dc69'), getCSSVar('--chart-color-12', '#424141'), ], // Background colors (semi-transparent versions) chartBgColors: [ getCSSVar('--chart-bg-1', 'rgba(0, 105, 62, 0.5)'), getCSSVar('--chart-bg-2', 'rgba(38, 122, 186, 0.5)'), getCSSVar('--chart-bg-3', 'rgba(255, 160, 15, 0.5)'), getCSSVar('--chart-bg-4', 'rgba(157, 22, 46, 0.5)'), getCSSVar('--chart-bg-5', 'rgba(138, 105, 150, 0.5)'), getCSSVar('--chart-bg-6', 'rgba(165, 215, 95, 0.5)'), ], // Semantic colors positive: getCSSVar('--chart-positive', '#00693e'), negative: getCSSVar('--chart-negative', '#9d162e'), neutral: getCSSVar('--chart-neutral', '#424141'), highlight: getCSSVar('--chart-highlight', '#ffa00f'), // Grid and axis colors gridLight: getCSSVar('--chart-grid-light', 'rgba(0, 105, 62, 0.1)'), gridMedium: getCSSVar('--chart-grid-medium', 'rgba(0, 105, 62, 0.15)'), gridDark: getCSSVar('--chart-grid-dark', 'rgba(0, 105, 62, 0.2)'), axisColor: getCSSVar('--chart-axis-color', '#0a2518'), // Font fontFamily: getCSSVar('--chart-font-family', "'Avenir LT Std', 'Avenir', 'Avenir Next', -apple-system, BlinkMacSystemFont, sans-serif"), }; } // Initialize palette (will be populated when DOM is ready) let CDL_PALETTE = null; // For convenience, expose primary chart colors array let CHART_COLORS = null; // ========================================================================== // FONT CONFIGURATION // Responsive font sizes based on typical Marp slide dimensions (1280x720) // ========================================================================== const FONT_CONFIG = { sizes: { title: 22, // Chart title subtitle: 18, // Subtitle legend: 16, // Legend labels axisTitle: 18, // Axis titles axisTicks: 16, // Axis tick labels tooltip: 14, // Tooltip text dataLabels: 14, // Data labels on charts }, weight: { normal: 400, medium: 500, bold: 600, }, }; // ========================================================================== // HELPER FUNCTIONS // ========================================================================== /** * Ensure palette is initialized */ function ensurePalette() { if (!CDL_PALETTE) { CDL_PALETTE = buildPaletteFromCSS(); CHART_COLORS = CDL_PALETTE.chartColors; } return CDL_PALETTE; } /** * Get color for a dataset at given index * Cycles through palette if more datasets than colors */ function getColor(index) { ensurePalette(); return CHART_COLORS[index % CHART_COLORS.length]; } /** * Get color with alpha transparency */ function getColorWithAlpha(color, alpha) { // Handle hex colors if (color.startsWith('#')) { const r = parseInt(color.slice(1, 3), 16); const g = parseInt(color.slice(3, 5), 16); const b = parseInt(color.slice(5, 7), 16); return `rgba(${r}, ${g}, ${b}, ${alpha})`; } // Handle rgba colors if (color.startsWith('rgba')) { return color.replace(/[\d.]+\)$/, `${alpha})`); } return color; } /** * Generate colors for all datasets in chart data * Automatically assigns colors if not specified */ function autoAssignColors(data, chartType) { if (!data || !data.datasets) return data; data.datasets.forEach((dataset, index) => { const baseColor = getColor(index); // Only assign colors if not already specified switch (chartType) { case 'bar': case 'horizontalBar': if (!dataset.backgroundColor) { dataset.backgroundColor = baseColor; } if (!dataset.borderColor) { dataset.borderColor = baseColor; } if (dataset.borderWidth === undefined) { dataset.borderWidth = 2; } break; case 'line': if (!dataset.borderColor) { dataset.borderColor = baseColor; } if (!dataset.backgroundColor) { dataset.backgroundColor = getColorWithAlpha(baseColor, 0.1); } if (dataset.borderWidth === undefined) { dataset.borderWidth = 3; } if (dataset.pointRadius === undefined) { dataset.pointRadius = 6; } if (!dataset.pointBackgroundColor) { dataset.pointBackgroundColor = baseColor; } if (dataset.tension === undefined) { dataset.tension = 0.3; } break; case 'scatter': case 'bubble': if (!dataset.backgroundColor) { dataset.backgroundColor = baseColor; } if (!dataset.borderColor) { dataset.borderColor = baseColor; } if (dataset.pointRadius === undefined) { dataset.pointRadius = 15; } if (dataset.pointHoverRadius === undefined) { dataset.pointHoverRadius = 18; } break; case 'pie': case 'doughnut': case 'polarArea': // For pie charts, we need multiple colors for one dataset if (!dataset.backgroundColor) { const numItems = dataset.data ? dataset.data.length : 6; dataset.backgroundColor = []; for (let i = 0; i < numItems; i++) { dataset.backgroundColor.push(getColor(i)); } } if (!dataset.borderColor) { dataset.borderColor = '#d8d8d8'; // Slide background } if (dataset.borderWidth === undefined) { dataset.borderWidth = 2; } break; case 'radar': if (!dataset.borderColor) { dataset.borderColor = baseColor; } if (!dataset.backgroundColor) { dataset.backgroundColor = getColorWithAlpha(baseColor, 0.2); } if (dataset.borderWidth === undefined) { dataset.borderWidth = 2; } if (dataset.pointRadius === undefined) { dataset.pointRadius = 4; } if (!dataset.pointBackgroundColor) { dataset.pointBackgroundColor = baseColor; } break; default: // Generic color assignment if (!dataset.backgroundColor) { dataset.backgroundColor = baseColor; } if (!dataset.borderColor) { dataset.borderColor = baseColor; } } }); return data; } // ========================================================================== // CHART.JS GLOBAL DEFAULTS // ========================================================================== function applyGlobalDefaults() { if (typeof Chart === 'undefined') { console.warn('Chart.js not loaded. chart-defaults.js requires Chart.js to be loaded first.'); return false; } // Ensure palette is loaded from CSS const palette = ensurePalette(); // Font defaults Chart.defaults.font.family = palette.fontFamily; Chart.defaults.font.size = FONT_CONFIG.sizes.axisTicks; Chart.defaults.color = palette.textPrimary; // Responsive defaults Chart.defaults.responsive = true; Chart.defaults.maintainAspectRatio = false; // Animation (subtle) Chart.defaults.animation.duration = 400; // Plugin defaults // Legend Chart.defaults.plugins.legend.labels.font = { family: palette.fontFamily, size: FONT_CONFIG.sizes.legend, weight: FONT_CONFIG.weight.normal, }; Chart.defaults.plugins.legend.labels.color = palette.textPrimary; Chart.defaults.plugins.legend.labels.usePointStyle = true; Chart.defaults.plugins.legend.labels.padding = 20; // Title Chart.defaults.plugins.title.font = { family: palette.fontFamily, size: FONT_CONFIG.sizes.title, weight: FONT_CONFIG.weight.medium, }; Chart.defaults.plugins.title.color = palette.textPrimary; // Tooltip Chart.defaults.plugins.tooltip.backgroundColor = palette.textPrimary; Chart.defaults.plugins.tooltip.titleFont = { family: palette.fontFamily, size: FONT_CONFIG.sizes.tooltip, weight: FONT_CONFIG.weight.medium, }; Chart.defaults.plugins.tooltip.bodyFont = { family: palette.fontFamily, size: FONT_CONFIG.sizes.tooltip, }; Chart.defaults.plugins.tooltip.cornerRadius = 4; Chart.defaults.plugins.tooltip.padding = 10; // Scale defaults (for cartesian charts) // These need to be applied per-scale type const scaleDefaults = { grid: { color: palette.gridLight, lineWidth: 1, }, border: { color: palette.gridDark, width: 1, }, ticks: { font: { family: palette.fontFamily, size: FONT_CONFIG.sizes.axisTicks, }, color: palette.textPrimary, }, title: { font: { family: palette.fontFamily, size: FONT_CONFIG.sizes.axisTitle, weight: FONT_CONFIG.weight.normal, }, color: palette.textPrimary, }, }; // Apply scale defaults to linear scale if (Chart.defaults.scales && Chart.defaults.scales.linear) { if (Chart.defaults.scales.linear.grid) Object.assign(Chart.defaults.scales.linear.grid, scaleDefaults.grid); if (Chart.defaults.scales.linear.border) Object.assign(Chart.defaults.scales.linear.border, scaleDefaults.border); if (Chart.defaults.scales.linear.ticks) Object.assign(Chart.defaults.scales.linear.ticks, scaleDefaults.ticks); if (Chart.defaults.scales.linear.title) Object.assign(Chart.defaults.scales.linear.title, scaleDefaults.title); } // Apply scale defaults to category scale if (Chart.defaults.scales && Chart.defaults.scales.category) { if (Chart.defaults.scales.category.grid) Object.assign(Chart.defaults.scales.category.grid, scaleDefaults.grid); if (Chart.defaults.scales.category.border) Object.assign(Chart.defaults.scales.category.border, scaleDefaults.border); if (Chart.defaults.scales.category.ticks) Object.assign(Chart.defaults.scales.category.ticks, scaleDefaults.ticks); if (Chart.defaults.scales.category.title) Object.assign(Chart.defaults.scales.category.title, scaleDefaults.title); } // Apply scale defaults to logarithmic scale if (Chart.defaults.scales && Chart.defaults.scales.logarithmic) { if (Chart.defaults.scales.logarithmic.grid) Object.assign(Chart.defaults.scales.logarithmic.grid, scaleDefaults.grid); if (Chart.defaults.scales.logarithmic.border) Object.assign(Chart.defaults.scales.logarithmic.border, scaleDefaults.border); if (Chart.defaults.scales.logarithmic.ticks) Object.assign(Chart.defaults.scales.logarithmic.ticks, scaleDefaults.ticks); if (Chart.defaults.scales.logarithmic.title) Object.assign(Chart.defaults.scales.logarithmic.title, scaleDefaults.title); } // Apply scale defaults to radial scale (for radar charts) if (Chart.defaults.scales && Chart.defaults.scales.radialLinear) { if (Chart.defaults.scales.radialLinear.grid) Chart.defaults.scales.radialLinear.grid.color = palette.gridLight; if (Chart.defaults.scales.radialLinear.angleLines) Chart.defaults.scales.radialLinear.angleLines.color = palette.gridMedium; if (Chart.defaults.scales.radialLinear.pointLabels) { Chart.defaults.scales.radialLinear.pointLabels.font = { family: palette.fontFamily, size: FONT_CONFIG.sizes.axisTicks, }; Chart.defaults.scales.radialLinear.pointLabels.color = palette.textPrimary; } } return true; } // ========================================================================== // CHART WRAPPER FOR AUTO-STYLING // ========================================================================== /** * Wrap the Chart constructor to automatically apply CDL styling */ function wrapChartConstructor() { if (typeof Chart === 'undefined') return; const OriginalChart = Chart; // Create a wrapper that auto-applies colors window.Chart = function(ctx, config) { // Auto-assign colors if not specified if (config && config.data) { config.data = autoAssignColors(config.data, config.type); } // Merge default options for specific chart types if (config && config.options) { config.options = applyChartTypeDefaults(config.type, config.options); } // Call original constructor return new OriginalChart(ctx, config); }; // Copy static properties and methods Object.setPrototypeOf(window.Chart, OriginalChart); Object.assign(window.Chart, OriginalChart); // Preserve the prototype chain window.Chart.prototype = OriginalChart.prototype; } /** * Apply chart-type specific defaults */ function applyChartTypeDefaults(chartType, userOptions) { const options = { ...userOptions }; switch (chartType) { case 'bar': case 'horizontalBar': // Bar chart defaults if (!options.scales) options.scales = {}; if (!options.scales.x) options.scales.x = {}; if (!options.scales.y) options.scales.y = {}; // Hide x-axis grid for cleaner look if (options.scales.x.grid === undefined) { options.scales.x.grid = { display: false }; } break; case 'line': // Line chart defaults if (!options.interaction) { options.interaction = { intersect: false, mode: 'index' }; } break; case 'pie': case 'doughnut': // Pie/doughnut defaults if (!options.plugins) options.plugins = {}; if (options.plugins.legend === undefined) { const palette = ensurePalette(); options.plugins.legend = { position: 'right', labels: { font: { family: palette.fontFamily, size: FONT_CONFIG.sizes.legend, }, color: palette.textPrimary, padding: 15, }, }; } break; case 'radar': // Radar chart defaults - keep as-is, scale defaults applied globally break; case 'scatter': case 'bubble': // Scatter/bubble defaults if (!options.scales) options.scales = {}; if (!options.scales.x) options.scales.x = {}; if (!options.scales.y) options.scales.y = {}; break; } return options; } // ========================================================================== // CONVENIENCE FUNCTIONS FOR USERS // Exposed on window.CDLChart for easy access // ========================================================================== window.CDLChart = { // Color palette access (getters to ensure lazy initialization) get colors() { return ensurePalette().chartColors; }, get palette() { return ensurePalette(); }, // Get specific color by index getColor: getColor, // Get color with transparency getColorWithAlpha: getColorWithAlpha, // Get array of colors for a specific count getColors: function(count) { ensurePalette(); const result = []; for (let i = 0; i < count; i++) { result.push(getColor(i)); } return result; }, // Font configuration fonts: FONT_CONFIG, // Quick chart creation helpers // These create minimal config that auto-applies all styling /** * Create a simple bar chart * @param {string} canvasId - Canvas element ID * @param {string[]} labels - X-axis labels * @param {number[]} data - Data values * @param {object} options - Optional overrides */ bar: function(canvasId, labels, data, options = {}) { return new Chart(document.getElementById(canvasId), { type: 'bar', data: { labels: labels, datasets: [{ data: data }], }, options: { plugins: { legend: { display: false } }, ...options, }, }); }, /** * Create a simple line chart * @param {string} canvasId - Canvas element ID * @param {string[]} labels - X-axis labels * @param {Array} datasets - Array of {label, data} objects * @param {object} options - Optional overrides */ line: function(canvasId, labels, datasets, options = {}) { return new Chart(document.getElementById(canvasId), { type: 'line', data: { labels: labels, datasets: datasets.map(ds => ({ label: ds.label, data: ds.data, fill: ds.fill !== undefined ? ds.fill : true, })), }, options: options, }); }, /** * Create a simple pie chart * @param {string} canvasId - Canvas element ID * @param {string[]} labels - Slice labels * @param {number[]} data - Data values * @param {object} options - Optional overrides */ pie: function(canvasId, labels, data, options = {}) { return new Chart(document.getElementById(canvasId), { type: 'pie', data: { labels: labels, datasets: [{ data: data }], }, options: options, }); }, /** * Create a simple scatter chart * @param {string} canvasId - Canvas element ID * @param {Array} datasets - Array of {label, data: [{x, y}]} objects * @param {object} options - Optional overrides */ scatter: function(canvasId, datasets, options = {}) { return new Chart(document.getElementById(canvasId), { type: 'scatter', data: { datasets: datasets.map(ds => ({ label: ds.label, data: ds.data, })), }, options: options, }); }, /** * Create a doughnut chart * @param {string} canvasId - Canvas element ID * @param {string[]} labels - Slice labels * @param {number[]} data - Data values * @param {object} options - Optional overrides */ doughnut: function(canvasId, labels, data, options = {}) { return new Chart(document.getElementById(canvasId), { type: 'doughnut', data: { labels: labels, datasets: [{ data: data }], }, options: options, }); }, /** * Create a radar chart * @param {string} canvasId - Canvas element ID * @param {string[]} labels - Axis labels * @param {Array} datasets - Array of {label, data} objects * @param {object} options - Optional overrides */ radar: function(canvasId, labels, datasets, options = {}) { return new Chart(document.getElementById(canvasId), { type: 'radar', data: { labels: labels, datasets: datasets.map(ds => ({ label: ds.label, data: ds.data, })), }, options: options, }); }, }; // ========================================================================== // INITIALIZATION // ========================================================================== function initialize() { // Wait for Chart.js to be available if (typeof Chart !== 'undefined') { applyGlobalDefaults(); wrapChartConstructor(); console.log('CDL Chart defaults applied successfully.'); return true; } else { // Chart.js not yet loaded - wait and retry let retries = 0; const maxRetries = 50; // 5 seconds max wait const checkInterval = setInterval(function() { retries++; if (typeof Chart !== 'undefined') { clearInterval(checkInterval); applyGlobalDefaults(); wrapChartConstructor(); console.log('CDL Chart defaults applied successfully (after waiting for Chart.js).'); } else if (retries >= maxRetries) { clearInterval(checkInterval); console.warn('Chart.js not found after waiting. CDL Chart defaults not applied.'); } }, 100); return false; } } // Initialize IMMEDIATELY - this must run BEFORE any chart creation scripts // Chart.js CDN should be loaded before this script initialize(); })();
In a conversation, future text from the user doesn't exist yet — the model must respond with only what it has seen so far. Decoders are built for exactly this: generate one token at a time, conditioning only on the past. Encoders like BERT need the entire input up front, which makes them great for understanding a complete document but unsuitable for open-ended generation.
BERT simply removes the causal mask — all positions attend to all positions:
That's it. Every token sees the full sentence, left and right, at every layer.
Removing the mask means BERT cannot generate text autoregressively — it sees the future! But it excels at understanding tasks where the full input is available.
Consider these Winograd-style examples where left-context alone is insufficient:
A left-to-right model processes "it" before seeing "big" vs "small" — it must guess. BERT reads both directions and never has to guess.
Pronoun resolution challenges that test real-world understanding. Originally proposed by Winograd (1972), formalized as a benchmark by Levesque et al. (2012).
Ambiguous pronouns:
BERT-large was among the first models to approach human performance on Winograd schemas.
Filling in blanks forces BERT to learn grammar ("The [MASK] barked" → dog), semantics ("She [MASK] the exam" → passed/failed), and world knowledge ("The capital of France is [MASK]" → Paris).
Think of MLM as a self-supervised curriculum: every masked position is a test question, and the surrounding text is the study material.
1from transformers import pipeline
2fill_mask = pipeline("fill-mask", model="bert-base-uncased")
3fill_mask("The [MASK] barked at the mailman.")
4
5fill_mask("The capital of Japan is [MASK].")
1fill_mask("The nurse said [MASK] would be right back.")
2# highest probability word: "she"
3
4fill_mask("The doctor said [MASK] would be right back.")
5# highest probability word: "he"
BERT learned gender stereotypes from its training data. This is useful for studying bias, but dangerous if deployed uncritically.
On one hand, biases can perpetuate harmful stereotypes. On the other hand, ignoring real-world distributions can lead to absurd outputs. How should we handle this trade-off?
Clark et al. (2019) discovered that specific BERT attention heads specialize in linguistic relations:
No one programmed these specializations — they emerged from masked language modeling alone!
Tenney et al. (2019) showed BERT's layers form a processing pipeline:
This mirrors the classical NLP pipeline that used to require separate hand-crafted systems for each level. BERT learns it all in one model, end-to-end!
Consider the word "cells" in: "The cells in the prison..." vs "The cells in the body..."
Ethayarajh (2019, EMNLP) "How Contextual are Contextualized Word Representations?" — Shows that self-similarity drops from ~0.95 (layer 1) to ~0.45 (layer 12) on average across all words; polysemous words like "cells" diverge even faster.
BERT was trained on 3.3B words of BooksCorpus + Wikipedia:
BERT "knows" what its training data contained. Its biases, gaps, and capabilities all trace back to these 3.3 billion words.
BERT established the "pre-train then fine-tune" paradigm that now dominates NLP. Even ChatGPT and Claude use this approach — they just use different architectures and much more data.
Neuroscience studies have found striking parallels between BERT's internal representations and human brain activity during language processing.
Cognitive insights:
Does BERT "understand" language like we do? Probably not — but it may have discovered similar computational solutions to the same problem.
Schrimpf et al. (2021, PNAS) "The neural architecture of language" — Middle transformer layers best predict fMRI activity in language regions.
Goldstein et al. (2022, Nature Neuroscience) "Shared computational principles for language processing in humans and deep language models" — Layer hierarchy of language models maps onto the temporal hierarchy of brain responses.
Michaelov et al. (2023, IEEE TCDS) "So Cloze yet so Far" — N400 amplitude is better predicted by language model surprisal than by human cloze probabilities. (N400: a negative brain-voltage deflection ~400 ms after an unexpected word; cloze probability: the proportion of people who fill in a given word when shown a sentence with a blank.)
Check out this lecture's companion notebook:
BERT variants: how RoBERTa, ALBERT, DistilBERT, and ELECTRA improved on the original.