Transformers, Finally Explained

After spending months studying transformer architectures and building LLM applications, I realized something: most explanations are overwhelming or missing out some details. This article is my attempt to bridge that gap — explaining transformers the way I wish someone had explained them to me. For an intro into what Large language model (LLM) means, refer this article I published previously. article By the end of this lesson, you will be able to look at any LLM architecture diagram and understand what is happening. This is not just academic knowledge — understanding the Transformer architecture will help you make better decisions about model selection, optimize your prompts, and debug issues when your LLM applications behave unexpectedly. How to Read This Lesson: You don't need to absorb everything in one read. Skim first, revisit later—this lesson is designed to compound over time. The concepts build on each other, so come back as you need deeper understanding. How to Read This Lesson: You don't need to absorb everything in one read. Skim first, revisit later—this lesson is designed to compound over time. The concepts build on each other, so come back as you need deeper understanding. How to Read This Lesson: What You Will Learn The complete Transformer architecture from input to output How positional encodings let models understand word order The difference between encoder-only, decoder-only, and encoder-decoder models Why layer normalization and residual connections matter How to read and interpret architecture diagrams Practical implications for choosing the right model type The complete Transformer architecture from input to output How positional encodings let models understand word order The difference between encoder-only, decoder-only, and encoder-decoder models Why layer normalization and residual connections matter How to read and interpret architecture diagrams Practical implications for choosing the right model type Don't worry if some of these terms sound unfamiliar—we'll explain each concept step by step, starting with the basics. By the end of this lesson, these technical terms will make perfect sense, even if you're new to machine learning architecture. The Big Picture Let's start with a simple analogy. Imagine you're reading a book and trying to understand a sentence: "The animal didn't cross the street because it was too tired." "The animal didn't cross the street because it was too tired." To understand this, your brain does several things: Recognizes the words - You know what "animal", "street", and "tired" mean Understands word order - "The animal was tired" means something different from "Tired was the animal" Connects related words - You figure out that "it" refers to "animal", not "street" Grasps the overall meaning - The animal's tiredness caused it to not cross Recognizes the words - You know what "animal", "street", and "tired" mean Recognizes the words Understands word order - "The animal was tired" means something different from "Tired was the animal" Understands word order Connects related words - You figure out that "it" refers to "animal", not "street" Connects related words Grasps the overall meaning - The animal's tiredness caused it to not cross Grasps the overall meaning A Transformer does something remarkably similar, but using math. Let me give you a simple explanation of how it works: What goes in: Text broken into pieces (called tokens) What goes in: What's a token? Think of tokens as the basic building blocks that language models understand: What's a token? Think of tokens as the basic building blocks that language models understand: Sometimes a token is a full word (like "cat" or "the") Sometimes it's part of a word (like "under" and "stand" for "understand") Even punctuation marks and spaces can be their own tokens For example, "I love AI!" might be split into tokens: ["I", " love", " AI", "!"] Sometimes a token is a full word (like "cat" or "the") Sometimes it's part of a word (like "under" and "stand" for "understand") Even punctuation marks and spaces can be their own tokens For example, "I love AI!" might be split into tokens: ["I", " love", " AI", "!"] What happens inside: The model processes this text through several stages (we'll explore each in detail): What happens inside: Converts words to numbers (because computers only understand math) Adds information about word positions (1st word, 2nd word, etc.) Figures out which words are related to each other Builds deeper understanding by repeating this process many times Converts words to numbers (because computers only understand math) Adds information about word positions (1st word, 2nd word, etc.) Figures out which words are related to each other Builds deeper understanding by repeating this process many times What comes out: Depends on what you need: What comes out: Understanding text (aka: encoding): A mathematical representation that captures meaning (useful for: "Is this email spam?" or "Find similar articles") Generating text (aka: decoding): Prediction of what word should come next (useful for: ChatGPT, code completion, translation) Understanding text (aka: encoding): A mathematical representation that captures meaning (useful for: "Is this email spam?" or "Find similar articles") Understanding text (aka: encoding): Generating text (aka: decoding): Prediction of what word should come next (useful for: ChatGPT, code completion, translation) Generating text (aka: decoding): Think of a Transformer like an assembly line where each station refines the product. Raw materials (words) enter, each station adds something (position info, relationships, meaning), and the final product emerges more polished at each step. A Quick Visual Journey Here's how text flows through a Transformer: The diagram shows how a simple sentence like "The cat sat on the mat" gets processed through the transformer architecture - from tokenization to final output. The key steps include embedding the tokens into vectors, adding positional information, applying self-attention to understand relationships between words, and repeating the attention and processing steps multiple times to refine understanding. Modern LLMs repeat the attention and processing steps many times: Small models: 12 repetitions (like BERT) Large models: 120+ repetitions (like GPT-4) Each repetition = one "layer" that deepens understanding Small models: 12 repetitions (like BERT) Large models: 120+ repetitions (like GPT-4) Each repetition = one "layer" that deepens understanding Now let's walk through each step in detail, starting from the very beginning. Step 1: Tokenization and Embeddings Before the model can process text, it needs to solve two problems: breaking text into pieces (tokenization) and converting those pieces into numbers (embeddings). Part A: Tokenization - Breaking Text Into Pieces The Problem: How do you break text into manageable chunks? You might think "just split by spaces into words," but that's too simple. The Problem: Why not just use words? Why not just use words? Consider these challenges: "running" and "runs" are related, but treating them as completely separate words wastes the model's capacity New words like "ChatGPT" appear constantly - you can't have infinite vocabulary Different languages don't use spaces (Chinese, Japanese) "running" and "runs" are related, but treating them as completely separate words wastes the model's capacity New words like "ChatGPT" appear constantly - you can't have infinite vocabulary Different languages don't use spaces (Chinese, Japanese) The solution: Subword Tokenization The solution: Subword Tokenization Modern models break text into subwords - pieces smaller than words but larger than individual characters. Think of it like Lego blocks: instead of needing a unique piece for every possible structure, you reuse common blocks. Simple example: Simple example: Text: "I am playing happily" Split by spaces (naive approach): ["I", "am", "playing", "happily"] Problem: Need separate entries for "play", "playing", "played", "player", "plays"... Subword tokenization (smart approach): ["I", "am", "play", "##ing", "happy", "##ly"] Better: Reuse "play" and "##ing" for "playing", "running", "jumping" Reuse "happy" and "##ly" for "happily", "sadly", "quickly" Text: "I am playing happily" Split by spaces (naive approach): ["I", "am", "playing", "happily"] Problem: Need separate entries for "play", "playing", "played", "player", "plays"... Subword tokenization (smart approach): ["I", "am", "play", "##ing", "happy", "##ly"] Better: Reuse "play" and "##ing" for "playing", "running", "jumping" Reuse "happy" and "##ly" for "happily", "sadly", "quickly" Why this matters - concrete examples: Why this matters - concrete examples: Handling related words: "unhappiness" → ["un", "##happy", "##ness"] Now the model knows: "un" = negative, "happy" = emotion, "ness" = state When it sees "uncomfortable", it recognizes "un" means negative! Handling rare/new words: Imagine the word "unsubscribe" wasn't in training Model breaks it down: ["un", "##subscribe"] It can guess meaning from pieces it knows: "un" (undo) + "subscribe" (join) Vocabulary efficiency: 50,000 tokens can represent millions of word combinations Like having 1,000 Lego pieces that make infinite structures Handling related words: "unhappiness" → ["un", "##happy", "##ness"] Now the model knows: "un" = negative, "happy" = emotion, "ness" = state When it sees "uncomfortable", it recognizes "un" means negative! Handling related words: "unhappiness" → ["un", "##happy", "##ness"] Now the model knows: "un" = negative, "happy" = emotion, "ness" = state When it sees "uncomfortable", it recognizes "un" means negative! "unhappiness" → ["un", "##happy", "##ness"] Now the model knows: "un" = negative, "happy" = emotion, "ness" = state When it sees "uncomfortable", it recognizes "un" means negative! Handling rare/new words: Imagine the word "unsubscribe" wasn't in training Model breaks it down: ["un", "##subscribe"] It can guess meaning from pieces it knows: "un" (undo) + "subscribe" (join) Handling rare/new words: Imagine the word "unsubscribe" wasn't in training Model breaks it down: ["un", "##subscribe"] It can guess meaning from pieces it knows: "un" (undo) + "subscribe" (join) Imagine the word "unsubscribe" wasn't in training Model breaks it down: ["un", "##subscribe"] It can guess meaning from pieces it knows: "un" (undo) + "subscribe" (join) Vocabulary efficiency: 50,000 tokens can represent millions of word combinations Like having 1,000 Lego pieces that make infinite structures Vocabulary efficiency: 50,000 tokens can represent millions of word combinations Like having 1,000 Lego pieces that make infinite structures 50,000 tokens can represent millions of word combinations Like having 1,000 Lego pieces that make infinite structures Real example of tokenization impact: Real example of tokenization impact: Input: "The animal didn't cross the street because it was tired" Tokens (what the model actually sees): ["The", "animal", "didn", "'", "t", "cross", "the", "street", "because", "it", "was", "tired"] Notice: - "didn't" → ["didn", "'", "t"] (split to handle contractions) - Each token gets converted to numbers (embeddings) next Input: "The animal didn't cross the street because it was tired" Tokens (what the model actually sees): ["The", "animal", "didn", "'", "t", "cross", "the", "street", "because", "it", "was", "tired"] Notice: - "didn't" → ["didn", "'", "t"] (split to handle contractions) - Each token gets converted to numbers (embeddings) next Part B: Embeddings - Converting Tokens to Numbers The Problem: Computers don't understand tokens. They only work with numbers. So how do we convert "cat" into something a computer can process? The Problem: Understanding Dimensions with a Simple Analogy Before we dive in, let's understand what "dimensions" mean with a familiar example: Describing a person in 3 dimensions: Describing a person in 3 dimensions: Height: 5.8 feet Weight: 150 lbs Age: 30 years Height: 5.8 feet Weight: 150 lbs Age: 30 years These 3 numbers (dimensions) give us a mathematical way to represent a person. Now, what if we want to represent a word mathematically? Describing a word needs way more dimensions: Describing a word needs way more dimensions: To capture everything about the word "cat", we need hundreds of numbers: Dimension 1: How "animal-like" is this word? (0.9 - very animal-like) Dimension 2: How "small" is this? (0.7 - fairly small) Dimension 3: How "domestic" is it? (0.8 - very domestic) Dimension 4: How "fluffy" is this? (0.6 - somewhat fluffy) ... (and hundreds more capturing different aspects) Dimension 1: How "animal-like" is this word? (0.9 - very animal-like) Dimension 2: How "small" is this? (0.7 - fairly small) Dimension 3: How "domestic" is it? (0.8 - very domestic) Dimension 4: How "fluffy" is this? (0.6 - somewhat fluffy) ... (and hundreds more capturing different aspects) Modern models use 768 to 4096 dimensions because words are complex! But here's the key: you don't need to understand what each dimension represents. The model figures this out during training. you don't need to understand what each dimension represents How Words Get Converted to Numbers Let's walk through a concrete example: # This is a simplified embedding table (real ones have thousands of words) # Each word maps to a list of numbers (a "vector") embedding_table = { "cat": [0.2, -0.5, 0.8, ..., 0.1], # 768 numbers total "dog": [0.3, -0.4, 0.7, ..., 0.2], # Notice: similar to "cat"! "bank": [0.9, 0.1, -0.3, ..., 0.5], # Very different from "cat" } # When we input a sentence: sentence = "The cat sat" # Step 1: Break into tokens tokens = ["The", "cat", "sat"] # Step 2: Look up each token's vector embedded = [ embedding_table["The"], # Gets: [0.1, 0.3, ..., 0.2] (768 numbers) embedding_table["cat"], # Gets: [0.2, -0.5, ..., 0.1] (768 numbers) embedding_table["sat"], # Gets: [0.4, 0.2, ..., 0.3] (768 numbers) ] # Result: We now have 3 vectors, each with 768 dimensions # The model can now do math with these! # This is a simplified embedding table (real ones have thousands of words) # Each word maps to a list of numbers (a "vector") embedding_table = { "cat": [0.2, -0.5, 0.8, ..., 0.1], # 768 numbers total "dog": [0.3, -0.4, 0.7, ..., 0.2], # Notice: similar to "cat"! "bank": [0.9, 0.1, -0.3, ..., 0.5], # Very different from "cat" } # When we input a sentence: sentence = "The cat sat" # Step 1: Break into tokens tokens = ["The", "cat", "sat"] # Step 2: Look up each token's vector embedded = [ embedding_table["The"], # Gets: [0.1, 0.3, ..., 0.2] (768 numbers) embedding_table["cat"], # Gets: [0.2, -0.5, ..., 0.1] (768 numbers) embedding_table["sat"], # Gets: [0.4, 0.2, ..., 0.3] (768 numbers) ] # Result: We now have 3 vectors, each with 768 dimensions # The model can now do math with these! Where Does This Table Come From? Great question! The embedding table isn't written by hand. Here's how it's created: Start with random numbers: Initially, every word gets random numbers "cat" → [0.43, 0.12, 0.88, ...] (random) "dog" → [0.71, 0.05, 0.33, ...] (random) Training adjusts these numbers: As the model trains on billions of text examples, it learns: "cat" and "dog" appear in similar contexts → Their numbers become similar "cat" and "bank" appear in different contexts → Their numbers stay different After training: Words with similar meanings have similar number patterns "cat" → [0.2, -0.5, 0.8, ...] "dog" → [0.3, -0.4, 0.7, ...] ← Very similar to "cat"! "happy" → [0.5, 0.8, 0.3, ...] "joyful" → [0.6, 0.7, 0.4, ...] ← Similar to "happy"! Start with random numbers: Initially, every word gets random numbers "cat" → [0.43, 0.12, 0.88, ...] (random) "dog" → [0.71, 0.05, 0.33, ...] (random) Start with random numbers "cat" → [0.43, 0.12, 0.88, ...] (random) "dog" → [0.71, 0.05, 0.33, ...] (random) "cat" → [0.43, 0.12, 0.88, ...] (random) "dog" → [0.71, 0.05, 0.33, ...] (random) Training adjusts these numbers: As the model trains on billions of text examples, it learns: "cat" and "dog" appear in similar contexts → Their numbers become similar "cat" and "bank" appear in different contexts → Their numbers stay different Training adjusts these numbers "cat" and "dog" appear in similar contexts → Their numbers become similar "cat" and "bank" appear in different contexts → Their numbers stay different "cat" and "dog" appear in similar contexts → Their numbers become similar "cat" and "bank" appear in different contexts → Their numbers stay different After training: Words with similar meanings have similar number patterns "cat" → [0.2, -0.5, 0.8, ...] "dog" → [0.3, -0.4, 0.7, ...] ← Very similar to "cat"! "happy" → [0.5, 0.8, 0.3, ...] "joyful" → [0.6, 0.7, 0.4, ...] ← Similar to "happy"! After training "cat" → [0.2, -0.5, 0.8, ...] "dog" → [0.3, -0.4, 0.7, ...] ← Very similar to "cat"! "happy" → [0.5, 0.8, 0.3, ...] "joyful" → [0.6, 0.7, 0.4, ...] ← Similar to "happy"! "cat" → [0.2, -0.5, 0.8, ...] "dog" → [0.3, -0.4, 0.7, ...] ← Very similar to "cat"! "happy" → [0.5, 0.8, 0.3, ...] "joyful" → [0.6, 0.7, 0.4, ...] ← Similar to "happy"! Why This Matters These embeddings capture word relationships mathematically: "king" - "man" + "woman" ≈ "queen" (this actually works with the vectors!) Similar words cluster together in this high-dimensional space The model can now reason about word meanings using math "king" - "man" + "woman" ≈ "queen" (this actually works with the vectors!) Similar words cluster together in this high-dimensional space The model can now reason about word meanings using math Key Insight: Embeddings as Parameters When we say GPT-3 has 175 billion parameters, where are they? A significant chunk lives in the embedding table. What happens in the embedding layer: What happens in the embedding layer: Each token in your vocabulary (like "cat" or "the") gets its own vector of numbers These numbers ARE the parameters - they're what the model learns during training For a model with 50,000 tokens and 1,024 dimensions per token, that's 51.2 million parameters just for embeddings Each token in your vocabulary (like "cat" or "the") gets its own vector of numbers These numbers ARE the parameters - they're what the model learns during training For a model with 50,000 tokens and 1,024 dimensions per token, that's 51.2 million parameters just for embeddings Example: If "cat" = token #847, the model looks up row #847 in its embedding table and retrieves a vector like [0.2, -0.5, 0.7, ...] with hundreds or thousands of numbers. Each of these numbers is a parameter that was optimized during training. Example: This is why embeddings contain so much "knowledge" - they encode the meaning and relationships between words that the model learned from massive amounts of text. Step 2: Adding Position Information The Problem: After converting words to numbers, we have another issue. Look at these two sentences: The Problem: "The cat sat" "sat cat The" "The cat sat" "sat cat The" They have the same words, just in different order. But right now, the model sees them as identical because it just has three vectors with no order information! Real-world example: Real-world example: "The dog bit the man" vs "The man bit the dog" Same words, completely different meanings! "The dog bit the man" vs "The man bit the dog" Same words, completely different meanings! Transformers process all words at the same time (unlike reading left-to-right), so we need to explicitly tell the model: "This is word #1, this is word #2, this is word #3." How We Add Position Information Think of it like adding page numbers to a book. Each word gets a "position tag" added to its embedding. Simple Example: Simple Example: # We have our word embeddings from Step 1: word_embeddings = [ [0.1, 0.3, 0.2, ...], # "The" (768 numbers) [0.2, -0.5, 0.1, ...], # "cat" (768 numbers) [0.4, 0.2, 0.3, ...], # "sat" (768 numbers) ] # Now add position information: position_tags = [ [0.0, 0.5, 0.8, ...], # Position 1 tag (768 numbers) [0.2, 0.7, 0.4, ...], # Position 2 tag (768 numbers) [0.4, 0.9, 0.1, ...], # Position 3 tag (768 numbers) ] # Combine them (add the numbers together): final_embeddings = [ [0.1+0.0, 0.3+0.5, 0.2+0.8, ...], # "The" at position 1 [0.2+0.2, -0.5+0.7, 0.1+0.4, ...], # "cat" at position 2 [0.4+0.4, 0.2+0.9, 0.3+0.1, ...], # "sat" at position 3 ] # Now each word carries both: # - What the word means (from embeddings) # - Where the word is located (from position tags) # We have our word embeddings from Step 1: word_embeddings = [ [0.1, 0.3, 0.2, ...], # "The" (768 numbers) [0.2, -0.5, 0.1, ...], # "cat" (768 numbers) [0.4, 0.2, 0.3, ...], # "sat" (768 numbers) ] # Now add position information: position_tags = [ [0.0, 0.5, 0.8, ...], # Position 1 tag (768 numbers) [0.2, 0.7, 0.4, ...], # Position 2 tag (768 numbers) [0.4, 0.9, 0.1, ...], # Position 3 tag (768 numbers) ] # Combine them (add the numbers together): final_embeddings = [ [0.1+0.0, 0.3+0.5, 0.2+0.8, ...], # "The" at position 1 [0.2+0.2, -0.5+0.7, 0.1+0.4, ...], # "cat" at position 2 [0.4+0.4, 0.2+0.9, 0.3+0.1, ...], # "sat" at position 3 ] # Now each word carries both: # - What the word means (from embeddings) # - Where the word is located (from position tags) How Are Position Tags Created? The original Transformer paper used a mathematical pattern based on sine and cosine waves. You don't need to understand the math — just know that: Each position gets a unique pattern - Position 1 gets one pattern, position 2 gets another, etc. The pattern encodes relative distance - The model can figure out "word 5 is 2 steps after word 3" It works for any length - The mathematical pattern can extend beyond what the model saw during training, so a model trained on 100-word sentences can still understand the position of words in much longer documents like 1000-word documents Each position gets a unique pattern - Position 1 gets one pattern, position 2 gets another, etc. Each position gets a unique pattern The pattern encodes relative distance - The model can figure out "word 5 is 2 steps after word 3" The pattern encodes relative distance It works for any length - The mathematical pattern can extend beyond what the model saw during training, so a model trained on 100-word sentences can still understand the position of words in much longer documents like 1000-word documents It works for any length Modern Improvement: Rotary Position Embeddings (RoPE) Newer models like Llama and Mistral use an improved approach called RoPE (Rotary Position Embeddings). RoPE (Rotary Position Embeddings) Simple analogy: Think of a clock face with moving hands: Simple analogy: Word at position 1: Clock hand at 12 o'clock (0°) Word at position 2: Clock hand at 1 o'clock (30°) Word at position 3: Clock hand at 2 o'clock (60°) Word at position 4: Clock hand at 3 o'clock (90°) ... Word at position 1: Clock hand at 12 o'clock (0°) Word at position 2: Clock hand at 1 o'clock (30°) Word at position 3: Clock hand at 2 o'clock (60°) Word at position 4: Clock hand at 3 o'clock (90°) ... How this connects to RoPE: Just like the clock hands rotate to show different times, RoPE literally rotates each word's embedding vector based on its position. Word 1 gets rotated 0°, word 2 gets rotated 30°, word 3 gets rotated 60°, and so on. This rotation encodes position information directly into the word vectors themselves. How this connects to RoPE: rotates Why this works: Why this works: Words next to each other have clock hands that are close (12 o'clock vs 1 o'clock) Words far apart have very different clock positions (12 o'clock vs 6 o'clock) Just by looking at the clock hands, the model can tell: Where each word is: "This word is at the 5 o'clock position" How far apart words are: "These two words are 3 hours apart" Words next to each other have clock hands that are close (12 o'clock vs 1 o'clock) Words far apart have very different clock positions (12 o'clock vs 6 o'clock) Just by looking at the clock hands, the model can tell: Where each word is: "This word is at the 5 o'clock position" How far apart words are: "These two words are 3 hours apart" Where each word is: "This word is at the 5 o'clock position" How far apart words are: "These two words are 3 hours apart" Where each word is: "This word is at the 5 o'clock position" Where each word is How far apart words are: "These two words are 3 hours apart" How far apart words are Why this matters in practice: Why this matters in practice: Better performance on long documents Enables "context extension" tricks (train on 4K words, use with 32K words) More natural understanding of word distances Better performance on long documents Enables "context extension" tricks (train on 4K words, use with 32K words) More natural understanding of word distances Key takeaway: Position encoding ensures the model knows "The cat sat" is different from "sat cat The". Without this, word order would be lost! Key takeaway: Step 3: Understanding Which Words Are Related (Attention) This is the magic that makes Transformers work! Let's understand it with a story. The Dinner Party Analogy Imagine you're at a dinner party with 10 people. Someone mentions "Paris" and you want to understand what they mean: You scan the room (looking at all other conversations) You notice someone just said "France" and another said "Eiffel Tower" You connect the dots - "Ah! They're talking about Paris the city, not Paris Hilton" You gather information from those relevant conversations You scan the room (looking at all other conversations) You scan the room You notice someone just said "France" and another said "Eiffel Tower" You notice You connect the dots - "Ah! They're talking about Paris the city, not Paris Hilton" You connect the dots You gather information from those relevant conversations You gather information Attention does exactly this for words in a sentence! Example Let's process this sentence: "The animal didn't cross the street because it was too tired." "The animal didn't cross the street because it was too tired." it When the model processes the word "it", it needs to figure out: What does "it" refer to? Step 1: The word "it" asks questions Step 1: The word "it" asks questions "I'm a pronoun. Who do I refer to? I'm looking for nouns that came before me." "I'm a pronoun. Who do I refer to? I'm looking for nouns that came before me." Step 2: All other words offer information Step 2: All other words offer information "The" says: "I'm just an article, not important" "animal" says: "I'm a noun! I'm a subject! Pay attention to me!" "didn't" says: "I'm a verb helper, not what you're looking for" "street" says: "I'm a noun too, but I'm the location, not the subject" "tired" says: "I describe a state, might be relevant" "The" says: "I'm just an article, not important" "animal" says: "I'm a noun! I'm a subject! Pay attention to me!" "didn't" says: "I'm a verb helper, not what you're looking for" "street" says: "I'm a noun too, but I'm the location, not the subject" "tired" says: "I describe a state, might be relevant" Step 3: "it" calculates relevance scores Step 3: "it" calculates relevance scores "animal": 0.45 (45% relevant - very high!) "street": 0.08 (8% relevant - somewhat relevant) "tired": 0.15 (15% relevant - moderately relevant) All others: ~0.02 (2% each - barely relevant) "animal": 0.45 (45% relevant - very high!) "street": 0.08 (8% relevant - somewhat relevant) "tired": 0.15 (15% relevant - moderately relevant) All others: ~0.02 (2% each - barely relevant) Step 4: "it" gathers information The model now knows: "it" = mostly "animal" + a bit of "tired" + tiny bit of others Step 4: "it" gathers information How This Works Mathematically ? The model creates three versions of each word: Query (Q): "What am I looking for?" For "it": Looking for nouns, subjects, things that can be tired Key (K): "What do I contain?" For "animal": I'm a noun, I'm the subject, I can get tired For "street": I'm a noun, but I'm an object/location Value (V): "What information do I carry?" For "animal": Carries the actual meaning/features of "animal" Query (Q): "What am I looking for?" For "it": Looking for nouns, subjects, things that can be tired Query (Q) For "it": Looking for nouns, subjects, things that can be tired For "it": Looking for nouns, subjects, things that can be tired Key (K): "What do I contain?" For "animal": I'm a noun, I'm the subject, I can get tired For "street": I'm a noun, but I'm an object/location Key (K) For "animal": I'm a noun, I'm the subject, I can get tired For "street": I'm a noun, but I'm an object/location For "animal": I'm a noun, I'm the subject, I can get tired For "street": I'm a noun, but I'm an object/location Value (V): "What information do I carry?" For "animal": Carries the actual meaning/features of "animal" Value (V) For "animal": Carries the actual meaning/features of "animal" For "animal": Carries the actual meaning/features of "animal" The matching process: The matching process: # Simplified example (real numbers would be 768-dimensional) # Word "it" creates its Query: query_it = [0.8, 0.3, 0.9] # Looking for: subject, noun, living thing # Word "animal" has this Key: key_animal = [0.9, 0.4, 0.8] # Offers: subject, noun, living thing # How well do they match? Multiply and sum: relevance = (0.8×0.9) + (0.3×0.4) + (0.9×0.8) = 0.72 + 0.12 + 0.72 = 1.56 # High match! # Compare with "street": key_street = [0.1, 0.4, 0.2] # Offers: not-subject, noun, non-living thing relevance = (0.8×0.1) + (0.3×0.4) + (0.9×0.2) = 0.08 + 0.12 + 0.18 = 0.38 # Lower match # Convert to percentages (this is what "softmax" does): # "animal" gets 45%, "street" gets 8%, etc. # Simplified example (real numbers would be 768-dimensional) # Word "it" creates its Query: query_it = [0.8, 0.3, 0.9] # Looking for: subject, noun, living thing # Word "animal" has this Key: key_animal = [0.9, 0.4, 0.8] # Offers: subject, noun, living thing # How well do they match? Multiply and sum: relevance = (0.8×0.9) + (0.3×0.4) + (0.9×0.8) = 0.72 + 0.12 + 0.72 = 1.56 # High match! # Compare with "street": key_street = [0.1, 0.4, 0.2] # Offers: not-subject, noun, non-living thing relevance = (0.8×0.1) + (0.3×0.4) + (0.9×0.2) = 0.08 + 0.12 + 0.18 = 0.38 # Lower match # Convert to percentages (this is what "softmax" does): # "animal" gets 45%, "street" gets 8%, etc. Where Does The Formula Come From? You might see this formula in papers: Attention(Q, K, V) = softmax(Q × K^T / √d_k) × V Attention(Q, K, V) = softmax(Q × K^T / √d_k) × V What it means in plain English: What it means in plain English: Q × K^T: Match each word's Query against all other words' Keys (like our multiplication above) / √d_k: Scale down the numbers (prevents them from getting too big) softmax: Convert to percentages that add up to 100% × V: Gather information from relevant words based on those percentages Q × K^T: Match each word's Query against all other words' Keys (like our multiplication above) Q × K^T / √d_k: Scale down the numbers (prevents them from getting too big) / √d_k softmax: Convert to percentages that add up to 100% softmax × V: Gather information from relevant words based on those percentages × V Where it comes from: Researchers from Google Brain discovered in 2017 that this mathematical formula effectively models how words should pay attention to each other. It's inspired by information retrieval (like how search engines find relevant documents). Where it comes from You don't need to memorize this! Just remember: attention = figuring out which words are related and gathering information from them. You don't need to memorize this! Complete Example Walkthrough Let's see attention in action with actual numbers: Sentence: "The animal didn't cross the street because it was tired" Sentence: When processing "it", the attention mechanism calculates: When processing "it", the attention mechanism calculates: Word Relevance Score What This Means ───────────────────────────────────────────────────────── "The" → 2% Article, not important "animal" → 45% Main subject! Likely referent "didn't" → 3% Verb helper, not the focus "cross" → 5% Action, minor relevance "the" → 2% Article again "street" → 8% Object/location, somewhat relevant "because" → 2% Connector word "it" → 10% Self-reference (checking own meaning) "was" → 8% Linking verb, somewhat relevant "tired" → 15% State description, quite relevant ───── Total = 100% (Scores sum to 100%) Word Relevance Score What This Means ───────────────────────────────────────────────────────── "The" → 2% Article, not important "animal" → 45% Main subject! Likely referent "didn't" → 3% Verb helper, not the focus "cross" → 5% Action, minor relevance "the" → 2% Article again "street" → 8% Object/location, somewhat relevant "because" → 2% Connector word "it" → 10% Self-reference (checking own meaning) "was" → 8% Linking verb, somewhat relevant "tired" → 15% State description, quite relevant ───── Total = 100% (Scores sum to 100%) Result: The model now knows "it" primarily refers to "animal" (45%), with some connection to being "tired" (15%). This understanding gets encoded into the updated representation of "it". Result: How does this actually update "it"? The model takes a weighted average of all words' Value vectors using these percentages: How does this actually update "it"? # Each word has a Value vector (what information it contains) value_animal = [0.9, 0.2, 0.8] # Contains: mammal, four-legged, animate value_tired = [0.1, 0.3, 0.9] # Contains: state, adjective, fatigue value_street = [0.2, 0.8, 0.1] # Contains: place, concrete, inanimate # ... (other words) # Updated representation of "it" = weighted combination new_it = (45% × value_animal) + (15% × value_tired) + (8% × value_street) + ... = (0.45 × [0.9, 0.2, 0.8]) + (0.15 × [0.1, 0.3, 0.9]) + ... = [0.52, 0.19, 0.61] # Now "it" carries meaning from "animal" + "tired" # Each word has a Value vector (what information it contains) value_animal = [0.9, 0.2, 0.8] # Contains: mammal, four-legged, animate value_tired = [0.1, 0.3, 0.9] # Contains: state, adjective, fatigue value_street = [0.2, 0.8, 0.1] # Contains: place, concrete, inanimate # ... (other words) # Updated representation of "it" = weighted combination new_it = (45% × value_animal) + (15% × value_tired) + (8% × value_street) + ... = (0.45 × [0.9, 0.2, 0.8]) + (0.15 × [0.1, 0.3, 0.9]) + ... = [0.52, 0.19, 0.61] # Now "it" carries meaning from "animal" + "tired" The word "it" now has a richer representation that includes information from "animal" (heavily weighted) and "tired" (moderately weighted), helping the model understand the sentence better. Why "Multi-Head" Attention? Simple analogy: When you read a sentence, you notice multiple things simultaneously: Simple analogy: Grammar relationships (subject → verb) Meaning relationships (dog → animal) Reference relationships (it → what does "it" mean?) Position relationships (which words are nearby?) Grammar relationships (subject → verb) Meaning relationships (dog → animal) Reference relationships (it → what does "it" mean?) Position relationships (which words are nearby?) Multi-head attention lets the model do the same thing! Instead of one attention mechanism, models use 8 to 128 different attention "heads" running in parallel. Example with the sentence "The fluffy dog chased the cat": Example with the sentence "The fluffy dog chased the cat": Head 1 might focus on: "dog" ↔ "chased" (subject-verb) Head 2 might focus on: "fluffy" ↔ "dog" (adjective-noun) Head 3 might focus on: "chased" ↔ "cat" (verb-object) Head 4 might focus on: nearby words (local context) Head 5 might focus on: animate things (dog, cat) Head 1 might focus on: "dog" ↔ "chased" (subject-verb) Head 1 Head 2 might focus on: "fluffy" ↔ "dog" (adjective-noun) Head 2 Head 3 might focus on: "chased" ↔ "cat" (verb-object) Head 3 Head 4 might focus on: nearby words (local context) Head 4 Head 5 might focus on: animate things (dog, cat) Head 5 Important: These specializations aren't programmed! During training, different heads naturally learn to focus on different relationships. Researchers discovered this by analyzing trained models—it emerges automatically. Important: How they combine: How they combine: # Each head produces its own understanding: head_1_output = attention_head_1(text) # Finds subject-verb head_2_output = attention_head_2(text) # Finds adjective-noun head_8_output = attention_head_8(text) # Finds other patterns # Combine all heads into a rich understanding: final_output = combine([head_1_output, head_2_output, ..., head_8_output]) # Now each word has information from all types of relationships! # Each head produces its own understanding: head_1_output = attention_head_1(text) # Finds subject-verb head_2_output = attention_head_2(text) # Finds adjective-noun head_8_output = attention_head_8(text) # Finds other patterns # Combine all heads into a rich understanding: final_output = combine([head_1_output, head_2_output, ..., head_8_output]) # Now each word has information from all types of relationships! Why this matters: Having multiple attention heads is like having multiple experts analyze the same text from different angles. The final result is much richer than any single perspective. Why this matters: Step 4: Processing the Information (Feed-Forward Network) After attention gathers information, each word needs to process what it learned. This is where the Feed-Forward Network (FFN) comes in. Feed-Forward Network (FFN) Simple analogy: Simple analogy: Attention = Gathering ingredients from your kitchen FFN = Actually cooking with those ingredients Attention = Gathering ingredients from your kitchen Attention FFN = Actually cooking with those ingredients FFN What happens: What happens: After "it" gathered information that it refers to "animal" and relates to "tired", the FFN processes this: # Simplified version def process_word(word_vector): # Step 1: Expand to more dimensions (gives more room to think) bigger = expand(word_vector) # 768 numbers → 3072 numbers # Step 2: Apply complex transformations (the "thinking") processed = activate(bigger) # Non-linear processing # Step 3: Compress back to original size result = compress(processed) # 3072 numbers → 768 numbers return result # Simplified version def process_word(word_vector): # Step 1: Expand to more dimensions (gives more room to think) bigger = expand(word_vector) # 768 numbers → 3072 numbers # Step 2: Apply complex transformations (the "thinking") processed = activate(bigger) # Non-linear processing # Step 3: Compress back to original size result = compress(processed) # 3072 numbers → 768 numbers return result What's it doing? Let's trace through a concrete example using our sentence: What's it doing? Example: Processing "it" in "The animal didn't cross the street because it was tired" Example: Processing "it" in "The animal didn't cross the street because it was tired" After attention, "it" has gathered information showing it refers to "animal" (45%) and relates to "tired" (15%). Now the FFN enriches this understanding: Step 1 - What comes in: Step 1 - What comes in: Vector for "it" after attention: [0.52, 0.19, 0.61, ...] This already knows: "it" refers to "animal" and connects to "tired" Vector for "it" after attention: [0.52, 0.19, 0.61, ...] This already knows: "it" refers to "animal" and connects to "tired" Step 2 - FFN adds learned knowledge: Step 2 - FFN adds learned knowledge: Think of the FFN as having millions of pattern detectors (neurons) that learned from billions of text examples. When "it" enters with its current meaning, specific patterns activate: Input pattern: word "it" + animal reference + tired state FFN recognizes patterns: - Pattern A activates: "Pronoun referring to living creature" → Strengthens living thing understanding - Pattern B activates: "Subject experiencing fatigue" → Adds physical/emotional state concept - Pattern C activates: "Reason for inaction" → Links tiredness to not crossing - Pattern D stays quiet: "Object being acted upon" → Not relevant here Input pattern: word "it" + animal reference + tired state FFN recognizes patterns: - Pattern A activates: "Pronoun referring to living creature" → Strengthens living thing understanding - Pattern B activates: "Subject experiencing fatigue" → Adds physical/emotional state concept - Pattern C activates: "Reason for inaction" → Links tiredness to not crossing - Pattern D stays quiet: "Object being acted upon" → Not relevant here What the FFN is really doing: It's checking "it" against thousands of patterns it learned during training, like: "When a pronoun refers to an animal + there's a state like 'tired', the pronoun is the one experiencing that state" "Tiredness causes inaction" (learned from millions of examples) "Animals get tired, streets don't" (learned semantic knowledge) "When a pronoun refers to an animal + there's a state like 'tired', the pronoun is the one experiencing that state" "Tiredness causes inaction" (learned from millions of examples) "Animals get tired, streets don't" (learned semantic knowledge) Step 3 - What comes out: Step 3 - What comes out: Enriched vector: [0.61, 0.23, 0.71, ...] Now contains: pronoun role + animal reference + tired state + causal link (tired → didn't cross) Enriched vector: [0.61, 0.23, 0.71, ...] Now contains: pronoun role + animal reference + tired state + causal link (tired → didn't cross) The result: The model now has a richer understanding: "it" isn't just referring to "animal"—it understands the animal is tired, and this tiredness is causally linked to why it didn't cross the street. The result: Here's another example showing how FFN removes uncertainty of word meanings: Example - "bank": Example - "bank": Input sentence: "I sat on the river bank" After attention: "bank" knows it's near "river" and "sat" FFN adds: bank → shoreline → natural feature → place to sit Output: Model understands it's a river bank (not a financial institution!) Input sentence: "I sat on the river bank" After attention: "bank" knows it's near "river" and "sat" FFN adds: bank → shoreline → natural feature → place to sit Output: Model understands it's a river bank (not a financial institution!) Think of FFN as the model's "knowledge base" where millions of facts and patterns are stored in billions of network weights (the connections between neurons). Unlike attention (which gathers context from other words), FFN applies learned knowledge to that context. Think of FFN as the model's "knowledge base" It's the difference between: Attention: "What words are nearby?" → Finds "river" and "sat" FFN: "What does 'bank' mean here?" → Applies knowledge: must be shoreline, not finance Attention: "What words are nearby?" → Finds "river" and "sat" FFN: "What does 'bank' mean here?" → Applies knowledge: must be shoreline, not finance Key insight: Key insight: Attention = figures out which words are related FFN = applies knowledge and reasoning to those relationships Attention = figures out which words are related FFN = applies knowledge and reasoning to those relationships Modern improvement: Newer models use something called "SwiGLU" instead of older activation functions. It provides better performance, but the core idea remains: process the gathered information to extract deeper meaning. Modern improvement: Step 5: Two Important Tricks (Residual Connections & Normalization) These might sound technical, but they solve simple problems. Let me explain with everyday analogies. Residual Connections: The "Don't Forget Where You Started" Trick The Problem: Imagine you're editing a document. You make 96 rounds of edits. By round 96, you've completely forgotten what the original said! Sometimes the original information was important. The Problem: The Solution: Keep a copy of the original and mix it back in after each edit. The Solution: In the Transformer: In the Transformer: # Start with a word's representation original = [0.2, 0.5, 0.8, ...] # "cat" representation # After attention + processing, we get changes changes = [0.1, -0.2, 0.3, ...] # What we learned # Residual connection: Keep the original + add changes final = original + changes = [0.2+0.1, 0.5-0.2, 0.8+0.3, ...] = [0.3, 0.3, 1.1, ...] # Original info preserved! # Start with a word's representation original = [0.2, 0.5, 0.8, ...] # "cat" representation # After attention + processing, we get changes changes = [0.1, -0.2, 0.3, ...] # What we learned # Residual connection: Keep the original + add changes final = original + changes = [0.2+0.1, 0.5-0.2, 0.8+0.3, ...] = [0.3, 0.3, 1.1, ...] # Original info preserved! Better analogy: Think of editing a photo: Better analogy: Without residual: Each filter completely replaces the image (after 50 filters, original is lost) With residual: Each filter adds to the image (original always visible + 50 layers of enhancements) Without residual: Each filter completely replaces the image (after 50 filters, original is lost) Without residual With residual: Each filter adds to the image (original always visible + 50 layers of enhancements) With residual Why this matters: Deep networks (96-120 layers) need this. Otherwise, information from early layers disappears by the time you reach the end. Why this matters: Layer Normalization: The "Keep Numbers Reasonable" Trick The Problem: Imagine you're calculating daily expenses: The Problem: Day 1: ₹500 Day 2: ₹450 Day 3: ₹520 Then suddenly Day 4: ₹50,00,00,000 (a bug in your calculator!) Day 1: ₹500 Day 2: ₹450 Day 3: ₹520 Then suddenly Day 4: ₹50,00,00,000 (a bug in your calculator!) The huge number breaks everything. The Solution: After each step, check if numbers are getting too big or too small, and adjust them to a reasonable range. The Solution: What normalization does: What normalization does: Before normalization: Before normalization: Word vectors might be: "the": [0.1, 0.2, 0.3, ...] "cat": [5.2, 8.9, 12.3, ...] ← Too big! "sat": [0.001, 0.002, 0.001, ...] ← Too small! Word vectors might be: "the": [0.1, 0.2, 0.3, ...] "cat": [5.2, 8.9, 12.3, ...] ← Too big! "sat": [0.001, 0.002, 0.001, ...] ← Too small! After normalization: After normalization: "the": [0.1, 0.2, 0.3, ...] "cat": [0.4, 0.6, 0.8, ...] ← Scaled down to reasonable range "sat": [0.2, 0.4, 0.1, ...] ← Scaled up to reasonable range "the": [0.1, 0.2, 0.3, ...] "cat": [0.4, 0.6, 0.8, ...] ← Scaled down to reasonable range "sat": [0.2, 0.4, 0.1, ...] ← Scaled up to reasonable range How it works (simplified): How it works (simplified): # For each word's vector: # 1. Calculate average and spread of numbers average = 5.0 spread = 3.0 # 2. Adjust so average=0, spread=1 normalized = (original - average) / spread # Now all numbers are in a similar range! # For each word's vector: # 1. Calculate average and spread of numbers average = 5.0 spread = 3.0 # 2. Adjust so average=0, spread=1 normalized = (original - average) / spread # Now all numbers are in a similar range! Why this matters: Why this matters: Prevents numbers from exploding or vanishing Makes training faster and more stable Like cruise control for your model's internal numbers Prevents numbers from exploding or vanishing Makes training faster and more stable Like cruise control for your model's internal numbers Key takeaway: These two tricks (residual connections + normalization) are like safety features in a car—they keep everything running smoothly even when the model gets very deep (many layers). Key takeaway: Three Types of Transformer Models Transformers come in three varieties, like three different tools in a toolbox. Each is designed for specific jobs. Type 1: Encoder-Only (BERT-style) - The "Understanding" Expert Think of it like: A reading comprehension expert who thoroughly understands text but can't write new text. Think of it like: How it works: Sees the entire text at once, looks at relationships in all directions (words can look both forward and backward). How it works: Training example: Training example: Show it: "The [MASK] sat on the mat" It learns: "The cat sat on the mat" By filling in blanks, it learns deep understanding! Show it: "The [MASK] sat on the mat" It learns: "The cat sat on the mat" By filling in blanks, it learns deep understanding! Real-world uses: Real-world uses: Email spam detection: "Is this email spam or legitimate?" Needs: Deep understanding of the entire email Example: Gmail's spam filter Search engines: "Find documents similar to this query" Needs: Understanding what documents mean Example: Google Search understanding your query Sentiment analysis: "Is this review positive or negative?" Needs: Understanding the overall tone Example: Analyzing customer feedback Email spam detection: "Is this email spam or legitimate?" Needs: Deep understanding of the entire email Example: Gmail's spam filter Email spam detection Needs: Deep understanding of the entire email Example: Gmail's spam filter Needs: Deep understanding of the entire email Example: Gmail's spam filter Search engines: "Find documents similar to this query" Needs: Understanding what documents mean Example: Google Search understanding your query Search engines Needs: Understanding what documents mean Example: Google Search understanding your query Needs: Understanding what documents mean Example: Google Search understanding your query Sentiment analysis: "Is this review positive or negative?" Needs: Understanding the overall tone Example: Analyzing customer feedback Sentiment analysis Needs: Understanding the overall tone Example: Analyzing customer feedback Needs: Understanding the overall tone Example: Analyzing customer feedback Popular models: BERT, RoBERTa (used by many search engines) Popular models: Key limitation: Can understand and classify text, but cannot generate new text. It's like a reading expert who can't write. Key limitation: cannot generate Type 2: Decoder-Only (GPT-style) - The "Writing" Expert Think of it like: A creative writer who generates text one word at a time, always building on what came before. Think of it like: How it works: Processes text from left to right. Each word can only "see" previous words, not future ones (because future words don't exist yet during generation!). How it works: Training example: Training example: Show it: "The cat sat on the" It learns: Next word should be "mat" (or "floor", "chair", etc.) By predicting next words billions of times, it learns to write! Show it: "The cat sat on the" It learns: Next word should be "mat" (or "floor", "chair", etc.) By predicting next words billions of times, it learns to write! Why only look backward? Because when generating text, future words don't exist yet—you can only use what you've written so far. It's like writing a story one word at a time: after "The cat sat on the", you can only look back at those 5 words to decide what comes next. Why only look backward? When predicting "sat": Can see: "The", "cat" ← Use these to predict Cannot see: "on", "the", "mat" ← Don't exist yet during generation When predicting "sat": Can see: "The", "cat" ← Use these to predict Cannot see: "on", "the", "mat" ← Don't exist yet during generation Real-world uses: Real-world uses: ChatGPT / Claude: Conversational AI assistants Task: Generate helpful responses to questions Example: "Explain quantum physics simply" → generates explanation Code completion: GitHub Copilot Task: Complete your code as you type Example: You type def calculate_ → it suggests the rest Content creation: Blog posts, emails, stories Task: Generate coherent, creative text Example: "Write a product description for..." → generates description ChatGPT / Claude: Conversational AI assistants Task: Generate helpful responses to questions Example: "Explain quantum physics simply" → generates explanation ChatGPT / Claude Task: Generate helpful responses to questions Example: "Explain quantum physics simply" → generates explanation Task: Generate helpful responses to questions Example: "Explain quantum physics simply" → generates explanation Code completion: GitHub Copilot Task: Complete your code as you type Example: You type def calculate_ → it suggests the rest Code completion Task: Complete your code as you type Example: You type def calculate_ → it suggests the rest Task: Complete your code as you type Example: You type def calculate_ → it suggests the rest def calculate_ Content creation: Blog posts, emails, stories Task: Generate coherent, creative text Example: "Write a product description for..." → generates description Content creation Task: Generate coherent, creative text Example: "Write a product description for..." → generates description Task: Generate coherent, creative text Example: "Write a product description for..." → generates description Popular models: GPT-4, Claude, Llama, Mistral (basically all modern chatbots) Popular models: Why this is dominant: These models can both understand AND generate, making them incredibly versatile. This is what you use when you chat with AI. Why this is dominant: Type 3: Encoder-Decoder (T5-style) - The "Translator" Expert Think of it like: A two-person team: one person reads and understands (encoder), another person writes the output (decoder). Think of it like: How it works: How it works: Encoder (the reader): Thoroughly understands the input, looking in all directions Decoder (the writer): Generates output one word at a time, consulting the encoder's understanding Encoder (the reader): Thoroughly understands the input, looking in all directions Encoder Decoder (the writer): Generates output one word at a time, consulting the encoder's understanding Decoder Training example: Training example: Input (to encoder): "translate English to French: Hello world" Output (from decoder): "Bonjour le monde" Encoder understands English, Decoder writes French! Input (to encoder): "translate English to French: Hello world" Output (from decoder): "Bonjour le monde" Encoder understands English, Decoder writes French! Real-world uses: Real-world uses: Translation: Google Translate Task: Convert text from one language to another Example: English → Spanish, preserving meaning Summarization: News article summaries Task: Read long document (encoder), write short summary (decoder) Example: 10-page report → 3-sentence summary Question answering: Task: Read document (encoder), generate answer (decoder) Example: "Based on this article, what caused...?" → generates answer Translation: Google Translate Task: Convert text from one language to another Example: English → Spanish, preserving meaning Translation Task: Convert text from one language to another Example: English → Spanish, preserving meaning Task: Convert text from one language to another Example: English → Spanish, preserving meaning Summarization: News article summaries Task: Read long document (encoder), write short summary (decoder) Example: 10-page report → 3-sentence summary Summarization Task: Read long document (encoder), write short summary (decoder) Example: 10-page report → 3-sentence summary Task: Read long document (encoder), write short summary (decoder) Example: 10-page report → 3-sentence summary Question answering: Task: Read document (encoder), generate answer (decoder) Example: "Based on this article, what caused...?" → generates answer Question answering Task: Read document (encoder), generate answer (decoder) Example: "Based on this article, what caused...?" → generates answer Task: Read document (encoder), generate answer (decoder) Example: "Based on this article, what caused...?" → generates answer Popular models: T5, BART (less common nowadays) Popular models: Why less popular now: Decoder-only models (like GPT) turned out to be more versatile—they can do translation AND chatting AND coding, all in one architecture. Encoder-decoder models are more specialized. Why less popular now: Quick Decision Guide: Which Type Should You Use? Need to understand/classify text? → Encoder (BERT) Need to understand/classify text? Spam detection Sentiment analysis Search/similarity Document classification Spam detection Sentiment analysis Search/similarity Document classification Need to generate text? → Decoder (GPT) Need to generate text? Chatbots (ChatGPT, Claude) Code completion Creative writing Question answering Content generation Chatbots (ChatGPT, Claude) Code completion Creative writing Question answering Content generation Need translation/summarization only? → Encoder-Decoder (T5) Need translation/summarization only? Language translation Document summarization Specific input→output transformations Language translation Document summarization Specific input→output transformations Not sure? → Use Decoder-only (GPT-style) Not sure? Most versatile Can handle both understanding and generation This is what most modern AI tools use Most versatile Can handle both understanding and generation This is what most modern AI tools use Bottom line: If you're building something today, you'll most likely use a decoder-only model (like GPT, Claude, Llama) because they're the most flexible and powerful. Bottom line: Scaling the Architecture Now that you understand the components, let us see how they scale: What Gets Bigger? As models grow from small to large, here's what changes: Component Small (125M params) Medium (7B params) Large (70B params) Layers (depth) 12 32 80 Hidden size (vector width) 768 4,096 8,192 Attention heads 12 32 64 Component Small (125M params) Medium (7B params) Large (70B params) Layers (depth) 12 32 80 Hidden size (vector width) 768 4,096 8,192 Attention heads 12 32 64 Component Small (125M params) Medium (7B params) Large (70B params) Component Component Small (125M params) Small (125M params) Medium (7B params) Medium (7B params) Large (70B params) Large (70B params) Layers (depth) 12 32 80 Layers (depth) Layers (depth) Layers 12 12 32 32 80 80 Hidden size (vector width) 768 4,096 8,192 Hidden size (vector width) Hidden size (vector width) Hidden size 768 768 4,096 4,096 8,192 8,192 Attention heads 12 32 64 Attention heads Attention heads Attention heads 12 12 32 32 64 64 Key insights: Key insights: 1. Layers (depth) - This is how many times you repeat Steps 3 & 4 1. Layers (depth) Each layer = one pass of Attention (Step 3) + FFN (Step 4) Small model with 12 layers = processes the sentence 12 times Large model with 80 layers = processes the sentence 80 times Think of it like editing a document: more passes = more refinement and deeper understanding Each layer = one pass of Attention (Step 3) + FFN (Step 4) Small model with 12 layers = processes the sentence 12 times Large model with 80 layers = processes the sentence 80 times Think of it like editing a document: more passes = more refinement and deeper understanding Example: Processing "it" in our sentence: Layer 1: Figures out "it" refers to "animal" Layer 5: Understands the tiredness connection Layer 15: Grasps the causal relationship (tired → didn't cross) Layer 30: Picks up subtle implications (the animal wanted to cross but couldn't) Layer 1: Figures out "it" refers to "animal" Layer 5: Understands the tiredness connection Layer 15: Grasps the causal relationship (tired → didn't cross) Layer 30: Picks up subtle implications (the animal wanted to cross but couldn't) 2. Hidden size (vector width) - How many numbers represent each word 2. Hidden size (vector width) Bigger vectors = more "memory slots" to store information 768 dimensions vs 8,192 dimensions = like having 768 notes vs 8,192 notes about each word Larger hidden size lets the model capture more nuanced meanings and relationships Bigger vectors = more "memory slots" to store information 768 dimensions vs 8,192 dimensions = like having 768 notes vs 8,192 notes about each word Larger hidden size lets the model capture more nuanced meanings and relationships 3. Attention heads - How many different perspectives each layer examines 3. Attention heads 12 heads = looking at the sentence in 12 different ways simultaneously 64 heads = 64 different ways (grammar, meaning, references, dependencies, etc.) More heads = catching more types of word relationships in parallel 12 heads = looking at the sentence in 12 different ways simultaneously 64 heads = 64 different ways (grammar, meaning, references, dependencies, etc.) More heads = catching more types of word relationships in parallel Where do the parameters live? Where do the parameters live? Surprising fact: The Feed-Forward Network (FFN) actually takes up most of the model's parameters, not the attention mechanism! Why? In each layer: Why? Attention parameters: relatively small (mostly for Q, K, V transformations) FFN parameters: huge (expands 4,096 dimensions to 16,384 then back, with millions of learned patterns) Attention parameters: relatively small (mostly for Q, K, V transformations) FFN parameters: huge (expands 4,096 dimensions to 16,384 then back, with millions of learned patterns) In large models, FFN parameters outnumber attention parameters by 3-4x. That's where the "knowledge" is stored! Why Self-Attention is Expensive: The O(N²) Problem Simple explanation: Every word needs to look at every other word. If you have N words, that's N × N comparisons. Simple explanation: Concrete example: Concrete example: 3 words: "The cat sat" - "The" looks at: The, cat, sat (3 comparisons) - "cat" looks at: The, cat, sat (3 comparisons) - "sat" looks at: The, cat, sat (3 comparisons) Total: 3 × 3 = 9 comparisons 6 words: "The cat sat on the mat" - Each of 6 words looks at all 6 words Total: 6 × 6 = 36 comparisons (4x more for 2x words!) 12 words: Total: 12 × 12 = 144 comparisons (16x more for 4x words!) 3 words: "The cat sat" - "The" looks at: The, cat, sat (3 comparisons) - "cat" looks at: The, cat, sat (3 comparisons) - "sat" looks at: The, cat, sat (3 comparisons) Total: 3 × 3 = 9 comparisons 6 words: "The cat sat on the mat" - Each of 6 words looks at all 6 words Total: 6 × 6 = 36 comparisons (4x more for 2x words!) 12 words: Total: 12 × 12 = 144 comparisons (16x more for 4x words!) The scaling problem: The scaling problem: Sentence Length Attention Calculations Growth Factor 512 tokens 262,144 1x 2,048 tokens 4,194,304 16x more 8,192 tokens 67,108,864 256x more Sentence Length Attention Calculations Growth Factor 512 tokens 262,144 1x 2,048 tokens 4,194,304 16x more 8,192 tokens 67,108,864 256x more Sentence Length Attention Calculations Growth Factor Sentence Length Sentence Length Attention Calculations Attention Calculations Growth Factor Growth Factor 512 tokens 262,144 1x 512 tokens 512 tokens 262,144 262,144 1x 1x 2,048 tokens 4,194,304 16x more 2,048 tokens 2,048 tokens 4,194,304 4,194,304 16x more 16x more 16x 8,192 tokens 67,108,864 256x more 8,192 tokens 8,192 tokens 67,108,864 67,108,864 256x more 256x more 256x Why this matters: Doubling the length doesn't double the work—it quadruples it! This is why: Why this matters: quadruples Long documents are expensive to process Context windows have hard limits (memory/compute) New techniques are needed for longer contexts Long documents are expensive to process Context windows have hard limits (memory/compute) New techniques are needed for longer contexts Solutions being developed: Solutions being developed: Flash Attention: Clever memory tricks to compute attention faster Sliding window attention: Each word only looks at nearby words (not all words) Sparse attention: Skip some comparisons that matter less Flash Attention: Clever memory tricks to compute attention faster Flash Attention Sliding window attention: Each word only looks at nearby words (not all words) Sliding window attention Sparse attention: Skip some comparisons that matter less Sparse attention These tricks help models handle longer texts without the exponential cost! Understanding the Complete Architecture Diagram Important: This diagram represents the universal Transformer architecture. All Transformer models (BERT, GPT, T5) follow this basic structure, with variations in how they use certain components. Important: Let's walk through the complete flow step by step: Detailed Walkthrough with Example Let's trace "The cat sat" through this architecture: Step 1: Input Tokens Step 1: Input Tokens Your text: "The cat sat" Tokens: ["The", "cat", "sat"] Your text: "The cat sat" Tokens: ["The", "cat", "sat"] Step 2: Embeddings + Position Step 2: Embeddings + Position "The" → [0.1, 0.3, ...] + position_1_tag → [0.1, 0.8, ...] "cat" → [0.2, -0.5, ...] + position_2_tag → [0.4, -0.2, ...] "sat" → [0.4, 0.2, ...] + position_3_tag → [0.8, 0.5, ...] Now each word is a 768-number vector with position info! "The" → [0.1, 0.3, ...] + position_1_tag → [0.1, 0.8, ...] "cat" → [0.2, -0.5, ...] + position_2_tag → [0.4, -0.2, ...] "sat" → [0.4, 0.2, ...] + position_3_tag → [0.8, 0.5, ...] Now each word is a 768-number vector with position info! Step 3: Through N Transformer Layers (repeated 12-120 times) Step 3: Through N Transformer Layers Each layer does this: Step 4a: Multi-Head Attention Step 4a: Multi-Head Attention - Each word looks at all other words - "cat" realizes it's the subject - "sat" realizes it's the action "cat" does - Words gather information from related words - Each word looks at all other words - "cat" realizes it's the subject - "sat" realizes it's the action "cat" does - Words gather information from related words Step 4b: Add & Normalize Step 4b: Add & Normalize - Add original vector back (residual connection) - Normalize numbers to reasonable range - Keeps information stable - Add original vector back (residual connection) - Normalize numbers to reasonable range - Keeps information stable Step 4c: Feed-Forward Network Step 4c: Feed-Forward Network - Process the gathered information - Apply learned knowledge - Each word's vector gets richer - Process the gathered information - Apply learned knowledge - Each word's vector gets richer Step 4d: Add & Normalize (again) Step 4d: Add & Normalize (again) - Add vector from before FFN (another residual) - Normalize again - Ready for next layer! - Add vector from before FFN (another residual) - Normalize again - Ready for next layer! After going through all N layers, each word's representation is incredibly rich with understanding. Step 5: Linear + Softmax Step 5: Linear + Softmax Take the final word's vector: [0.8, 0.3, 0.9, ...] Convert to predictions for EVERY word in vocabulary (50,000 words): "the" → 5% "a" → 3% "on" → 15% ← High probability! "mat" → 12% "floor" → 8% ... (All probabilities sum to 100%) Take the final word's vector: [0.8, 0.3, 0.9, ...] Convert to predictions for EVERY word in vocabulary (50,000 words): "the" → 5% "a" → 3% "on" → 15% ← High probability! "mat" → 12% "floor" → 8% ... (All probabilities sum to 100%) Step 6: Output Step 6: Output Pick the most likely word: "on" Complete sentence so far: "The cat sat on" Then repeat the whole process to predict the next word! Pick the most likely word: "on" Complete sentence so far: "The cat sat on" Then repeat the whole process to predict the next word! How the Three Model Types Use This Architecture Now that you've seen the complete flow, here's how each model type uses it differently: 1. Encoder-Only (BERT): 1. Encoder-Only (BERT): Uses: Steps 1-4 (everything except the final output prediction) Attention: Bidirectional - each word sees ALL other words (past AND future) Training: Fill-in-the-blank ("The [MASK] sat" → predict "cat") Purpose: Rich understanding for classification, search, sentiment analysis Uses: Steps 1-4 (everything except the final output prediction) Attention: Bidirectional - each word sees ALL other words (past AND future) Bidirectional Training: Fill-in-the-blank ("The [MASK] sat" → predict "cat") Purpose: Rich understanding for classification, search, sentiment analysis 2. Decoder-Only (GPT, Claude, Llama): 2. Decoder-Only (GPT, Claude, Llama): Uses: All steps 1-6 (the complete flow we just walked through) Attention: Causal/Unidirectional - each word only sees PAST words Training: Next-word prediction ("The cat sat" → predict "on") Purpose: Text generation, chatbots, code completion Uses: All steps 1-6 (the complete flow we just walked through) Attention: Causal/Unidirectional - each word only sees PAST words Causal/Unidirectional Training: Next-word prediction ("The cat sat" → predict "on") Purpose: Text generation, chatbots, code completion 3. Encoder-Decoder (T5): 3. Encoder-Decoder (T5): Uses: TWO stacks - one encoder (steps 1-4), one decoder (full steps 1-6) Encoder: Bidirectional attention to understand input Decoder: Causal attention to generate output, also attends to encoder Training: Input→output mapping ("translate: Hello" → "Bonjour") Purpose: Translation, summarization, transformation tasks Uses: TWO stacks - one encoder (steps 1-4), one decoder (full steps 1-6) Encoder: Bidirectional attention to understand input Decoder: Causal attention to generate output, also attends to encoder Training: Input→output mapping ("translate: Hello" → "Bonjour") Purpose: Translation, summarization, transformation tasks The key difference: Same architecture blocks, different attention patterns and how they're connected! The key difference: Additional Key Insights It's a loop: For generation, this process repeats. After predicting "on", the model adds it to the input and predicts again. It's a loop The "N" matters: The "N" matters Small models: N = 12 layers GPT-3: N = 96 layers GPT-4: N = 120+ layers More layers = deeper understanding but slower/more expensive Small models: N = 12 layers GPT-3: N = 96 layers GPT-4: N = 120+ layers More layers = deeper understanding but slower/more expensive This is universal: Whether you're reading a research paper about a new model or trying to understand GPT-4, this diagram applies. The core architecture is the same! This is universal Practical Implications Understanding the architecture helps you make better decisions: 1. Context Window Limitations The context window is not just a number—it is a hard architectural limit. A model trained on 4K context cannot magically understand 100K tokens without modifications (RoPE interpolation, fine-tuning, etc.). 2. Why Position Matters Tokens at the beginning and end of context often get more attention (primacy and recency effects). If you have critical information, consider its placement in your prompt. 3. Layer-wise Understanding Early layers capture syntax and basic patterns. Later layers capture semantics and complex reasoning. This is why techniques like layer freezing during fine-tuning work—early layers transfer well across tasks. 4. Attention is Expensive Every extra token in your prompt increases compute quadratically. Be concise when you can. Key Takeaways Transformers process all tokens in parallel, using positional encoding to preserve order Self-attention lets each token gather information from all other tokens Multi-head attention captures different types of relationships simultaneously Residual connections and layer normalization enable training very deep networks Encoder-only models (BERT) excel at understanding; decoder-only (GPT) at generation Modern LLMs are decoder-only with causal masking Context window limitations come from O(n²) attention complexity Understanding architecture helps you write better prompts and choose appropriate models Transformers process all tokens in parallel, using positional encoding to preserve order Self-attention lets each token gather information from all other tokens Multi-head attention captures different types of relationships simultaneously Residual connections and layer normalization enable training very deep networks Encoder-only models (BERT) excel at understanding; decoder-only (GPT) at generation Modern LLMs are decoder-only with causal masking Context window limitations come from O(n²) attention complexity Understanding architecture helps you write better prompts and choose appropriate models