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Generative Models: Principles, Architectures, and Applications

arXiv 2608.08101 ↗First posted 8 Aug 2026cs.AIcited by 0

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Abstract (arXiv)

Generative AI has emerged as one of the most transformative forces in modern artificial intelligence, reshaping how we create, imagine, and interact with digital content. From photorealistic images to coherent text, from immersive videos to novel molecular structures, generative models now power applications that were once confined to science fiction. This book is designed to guide readers through the foundational principles, mathematical underpinnings, and practical architectures that underpin this revolution.

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 34 of its 144 references that are in the map. First posted on arXiv 8 Aug 2026.

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34 of 144 references.

References · 34

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  3. 2020Denoising Diffusion Implicit Modelscited by 9,781
  4. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 9,122
  5. 2022Hierarchical Text-Conditional Image Generation with CLIP Latentscited by 6,585
  6. 2022Classifier-Free Diffusion Guidancecited by 5,847
  7. 2022Flow Matching for Generative Modelingcited by 5,702
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22 more
  1. 2014NICE: Non-linear Independent Components Estimationcited by 1,058
  2. 2025FLUX.1 Kontext: Flow Matching for In-Context Image Generation and Editing in Latent Spacecited by 1,006
  3. 2022eDiff-I: Text-to-Image Diffusion Models with an Ensemble of Expert Denoiserscited by 931
  4. 2024Movie Gen: A Cast of Media Foundation Modelscited by 644
  5. 2020WaveGrad: Estimating Gradients for Waveform Generationcited by 622
  6. 2018FFJORD: Free-form Continuous Dynamics for Scalable Reversible Generative Modelscited by 594
  7. 2022Fast Sampling of Diffusion Models with Exponential Integratorcited by 532
  8. 2022Understanding Diffusion Models: A Unified Perspectivecited by 340
  9. 2024SANA: Efficient High-Resolution Image Synthesis with Linear Diffusion Transformerscited by 340
  10. 2024Flow Matching Guide and Codecited by 301
  11. 2021Score-Based Generative Modeling with Critically-Damped Langevin Diffusioncited by 233
  12. 2025NextStep-1: Toward Autoregressive Image Generation with Continuous Tokens at Scalecited by 57
  13. 2025An Introduction to Flow Matching and Diffusion Modelscited by 35
  14. 2013Automated Variational Inference in Probabilistic Programmingcited by 34
  15. 2022Matrix Decomposition and Applicationscited by 14
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  20. 2023Bayesian Matrix Decomposition and Applicationscited by 1
  21. 2025Practical Topics in Optimizationcited by 1
  22. 2026A First Course in Sparse Optimizationcited by 1

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