The Core Concept
Generative AI learns the patterns and structure of training data, then uses that knowledge to create brand new content that follows those same patterns. Think of it as teaching an AI to understand "what makes a good story" or "what makes an image look realistic", then asking it to create its own.
🎯 The Goal
Learn the probability distribution P(X) of your data, so you can sample new, realistic data points from that distribution.
🧠 The Three-Step Process
Step 1: Training - Learning Patterns
The model analyzes millions or billions of examples to understand patterns, structures, and relationships in the data.
# Simplified concept
training_data = [
"The cat sat on the mat",
"The dog played in the park",
"The bird flew over the tree",
# ... millions more examples
]
# Model learns:
# - Grammar rules
# - Common word combinations
# - Sentence structures
# - Context and meaning
Step 2: Encoding - Compressing Knowledge
The model compresses all this knowledge into mathematical parameters (weights) in a neural network.
# Model architecture (simplified)
model = TransformerModel(
vocab_size=50000, # Words it knows
embed_dim=1536, # How it represents meaning
num_layers=48, # Depth of understanding
num_heads=24, # Attention mechanisms
parameters=175_000_000_000 # GPT-3 size
)
Step 3: Generation - Creating New Content
Given a prompt, the model uses its learned knowledge to generate new content that follows the patterns it learned.
# Generation process
prompt = "Once upon a time"
# Model predicts next word based on probability
# P(word | "Once upon a time")
next_word = model.predict_next(prompt) # "there"
# Continue generating word by word
# "Once upon a time there was a magical..."
🔢 The Mathematics (Simplified)
What the Model Learns
Goal: Learn P(X) - the probability distribution of the data
For Text: P(wordn | word1, word2, ..., wordn-1)
"What word comes next, given all previous words?"
For Images: P(pixeli | all other pixels)
"What should this pixel be, given surrounding pixels?"
# Text Generation Example
sentence = "The cat sat on the"
# Model computes probabilities for next word:
probabilities = {
"mat": 0.35,
"floor": 0.20,
"sofa": 0.15,
"chair": 0.12,
"table": 0.10,
# ... other words: 0.08
}
# Sample based on these probabilities
next_word = weighted_random_choice(probabilities)
# Result: "mat" (35% chance)
🏗️ Key Components
1️⃣ Neural Network Architecture
The structure that processes and transforms data
- Transformers: For text (GPT, BERT)
- CNNs: For images (GANs, StyleGAN)
- U-Nets: For diffusion models
2️⃣ Attention Mechanism
Helps model focus on relevant parts of input
- Weighs importance of different tokens
- Captures long-range dependencies
- Enables understanding context
3️⃣ Embeddings
Converts data into numerical vectors
- Words → dense vectors
- Captures semantic meaning
- Similar concepts near each other
4️⃣ Loss Function
Measures how wrong the model's predictions are
- Cross-entropy for text
- MSE for images
- Guides training process
5️⃣ Sampling Strategy
How to generate output from probabilities
- Greedy: Always pick highest probability
- Temperature: Control randomness
- Top-k/Top-p: Sample from best options
6️⃣ Training Loop
Iterative process of improving the model
- Forward pass (prediction)
- Calculate loss
- Backward pass (update weights)
🎨 Example: Text Generation Deep Dive
How ChatGPT Generates a Response
1. Tokenization
input = "Write a poem about AI"
tokens = tokenizer.encode(input)
# ["Write", "a", "poem", "about", "AI"]
# Convert to token IDs: [24139, 257, 21247, 546, 15955]
2. Embedding
# Each token becomes a vector
embeddings = model.embed(tokens)
# Shape: [5 tokens, 1536 dimensions]
# Example (simplified):
"Write" → [0.23, -0.45, 0.67, ... 1536 values]
"AI" → [0.12, 0.89, -0.34, ... 1536 values]
3. Transformer Processing
# Multi-head attention
for layer in transformer_layers:
# Self-attention: understand relationships
attention_output = layer.attention(embeddings)
# Feed-forward: transform representations
embeddings = layer.feed_forward(attention_output)
# Now embeddings understand context!
4. Next Token Prediction
# Predict probability for each word in vocabulary
logits = model.output_layer(embeddings[-1])
probabilities = softmax(logits)
# Top predictions:
{
"In": 0.15,
"Silicon": 0.12,
"Algorithms": 0.10,
"Data": 0.08,
# ... 50,000 other words
}
5. Sampling & Generation
# Apply temperature for creativity
temperature = 0.7
adjusted_probs = probabilities ** (1/temperature)
# Sample next token
next_token = sample(adjusted_probs) # "Silicon"
# Add to sequence and repeat
current_text = "Write a poem about AI Silicon"
# Continue until stopping criteria...
Complete Generation Loop
def generate_text(prompt, max_length=100):
tokens = tokenize(prompt)
for _ in range(max_length):
# Get embeddings
embeddings = embed(tokens)
# Process through transformer
hidden_states = transformer(embeddings)
# Predict next token probabilities
logits = output_layer(hidden_states[-1])
probs = softmax(logits / temperature)
# Sample next token
next_token = sample(probs)
# Stop if end-of-sequence token
if next_token == EOS_TOKEN:
break
# Add to sequence
tokens.append(next_token)
return decode(tokens)
# Usage
poem = generate_text("Write a poem about AI")
print(poem)
🖼️ Example: Image Generation
How Stable Diffusion Creates Images
Step 1: Start with Random Noise
Begin with pure random pixels
import torch
# Random noise image (512x512)
noise = torch.randn(1, 4, 64, 64) # Latent space
# Looks like TV static
Step 2: Encode Text Prompt
prompt = "A cat astronaut in space, digital art"
# CLIP text encoder converts prompt to embedding
text_embedding = clip_text_encoder(prompt)
# Shape: [1, 77, 768]
Step 3: Iterative Denoising
# 50 denoising steps
for t in range(50, 0, -1):
# U-Net predicts noise to remove
predicted_noise = unet(
latent=noise,
timestep=t,
text_embedding=text_embedding
)
# Remove predicted noise
noise = noise - (predicted_noise * step_size)
# Gradually reveals image
# After 50 steps: clear image emerges!
Step 4: Decode to Pixels
# VAE decoder converts latent to image
final_image = vae_decoder(noise)
# Shape: [1, 3, 512, 512] RGB image
save_image(final_image, "cat_astronaut.png")
🎛️ Control Parameters
Temperature
Controls randomness/creativity
- Low (0.1-0.5): Conservative, repetitive
- Medium (0.7-0.9): Balanced
- High (1.0-2.0): Creative, chaotic
temp = 0.2 # Boring but accurate
temp = 0.8 # Sweet spot
temp = 1.5 # Wild and creative
Top-k / Top-p
Limits vocabulary during sampling
- Top-k: Consider only k most likely words
- Top-p: Sample from smallest set covering p% probability
top_k = 50 # Choose from top 50 words
top_p = 0.9 # Top 90% probability mass
Max Length
Maximum tokens to generate
- Short: 50-100 tokens
- Medium: 500-1000 tokens
- Long: 2000+ tokens
max_tokens = 500 # ~375 words
Guidance Scale (Images)
How closely to follow prompt
- Low (5-7): Creative interpretation
- Medium (7-10): Balanced
- High (10-20): Literal adherence
guidance_scale = 7.5 # Default
⚡ Training Process
What Happens During Training?
- Data Collection: Gather billions of text/image examples from internet
- Preprocessing: Clean, tokenize, and format data
- Forward Pass: Model predicts next token/pixel
- Loss Calculation: Compare prediction to actual data
- Backpropagation: Calculate gradients
- Weight Update: Adjust model parameters to reduce loss
- Repeat: Do this trillions of times!
# Simplified training loop
for epoch in range(num_epochs):
for batch in training_data:
# Get input and target
input_tokens = batch[:-1] # "The cat sat"
target_tokens = batch[1:] # "cat sat on"
# Forward pass
predictions = model(input_tokens)
# Calculate loss (how wrong are we?)
loss = cross_entropy(predictions, target_tokens)
# Backward pass
loss.backward()
# Update weights
optimizer.step()
# Clear gradients
optimizer.zero_grad()
# After training: model can generate new text!
📊 Training Stats (GPT-3)
- Training Data: 45 TB of text (499 billion tokens)
- Training Time: ~34 days on 10,000 GPUs
- Training Cost: ~$4.6 million
- Parameters: 175 billion
- Training Iterations: ~300 billion
🔍 Why Does It Work?
Scale
More data + bigger models = emergent capabilities
- Learns complex patterns
- Better generalization
- Surprising abilities appear
Self-Supervision
No manual labeling needed
- Learns from raw data
- Creates own training signal
- Scalable to internet-size data
Transformer Architecture
Captures long-range dependencies
- Attention mechanism
- Parallel processing
- Efficient training
Transfer Learning
Pre-training → Fine-tuning
- General knowledge first
- Task-specific adaptation
- Efficient specialization
🎯 Key Takeaways
- Generative AI learns patterns in data, not rules
- Uses probability distributions to generate new content
- Requires massive scale (data + compute + parameters)
- Generation is iterative - one token/pixel at a time
- Transformers for text, Diffusion for images are current state-of-the-art
- Control parameters let you tune creativity vs accuracy