The Variational Inference Book
Master Generative AI with Derivations, Illustrations & Intuitive Explanations
About the Book
One Comprehensive Guide to Generative AI
Develop world-class foundational machine learning expertise through a unified probabilistic modeling framework. This book covers everything from fundamental concepts to cutting-edge techniques in generative AI.
Whether you're an undergraduate student, graduate researcher, ML scientist, or technology professional, this book provides rigorous mathematical derivations paired with intuitive explanations and visual illustrations to build deep understanding.
- Comprehensive coverage from basics to advanced topics
- Mathematical rigor with intuitive explanations
- Rich illustrations and visual aids
- Practical implementations and examples
- Perfect for students, researchers, and practitioners
Snapshot of Covered Topics
🔬 Foundations
- Quantifying Uncertainty
- Generative AI Introduction
- Parameter Estimation
- Exponential Families
- Divergence Metrics
- Latent Variable Models
- Model Selection
📊 Monte Carlo Methods
- Monte Carlo Approximation
- Likelihood-ratio estimator
- Reparameterization Trick
- Control Variates
- Black-box Variational Inference
📊 Surrogate Distributions
- Auxiliary Design
- Mixture of Gaussians
- Expectation Maximization
- Variational Mixture of Gaussians
📊 Variational Methods
- Variational Inference
- Mean-Field Approximations
- Stochastic Variational Inference
- Amortized Inference
- Vector-Quantized Inference
🌊 Flow-Based Models
- Normalizing Flows
- Invertible Architectures
- Continuous Normalizing Flows
- Flow Matching
- Rectifier Flows
âš¡ Energy-Based Models
- Implicit Distributions
- Generative Adversarial Networks (GANs)
- GANs Training and Limitations
- GANs Architecture
- Conditional GANs
- Wasserstein GANs
âš¡ Energy & Score-Based Models
- Score Matching
- Langevin Dynamics
- Sliced Score Matching
- Denoising Score Matching
- Stein Gradient
🎨 Diffusion Models
- DDPM & DDIM
- Denoising Diffusion Models
- Guided Diffusion
- Latent Diffusion
- Reverse Samplers in Diffusion
- Distillation Diffusion
- Discrete Diffusion
🎨 Transformers
- Fundamentals of Transformers
- Diffusion Transformers
- Vector Quantized GAN
- Visual Autoregressive Modeling
🧠Applications
- Data Modeling
- Image Synthesis
- Representation Learning
- Text-to-Image Generation
- Text-to-Video Generation
About the Author
Generative AI Showcase
Explore examples of cutting-edge generative AI in action - the same techniques covered in detail throughout the book.
Prompt: A cat with a red sombrero learning to surf and reading a generative AI book!
Prompt: A video of a cat learning generative AI!
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