Generative Models

Models that generate samples from learned data distributions.


frontier tier

Generative Models addresses models that generate samples from learned data distributions. It sits within Machine Learning and inherits that area’s core questions about correctness, scale, and tractability. This page surveys the conceptual axes of the topic and points to the references that frame ongoing research and teaching. The intent is to be useful both as an entry point for newcomers and as an index for practitioners cross-checking their mental model against the field’s primary sources.

Work on generative models can be organised around a few interlocking concerns: the formal objects under study, the algorithms or systems that compute over them, the resource trade-offs (time, memory, communication, statistical efficiency), and the empirical or theoretical guarantees that practitioners rely on. The sources cited below approach the topic from a mix of these angles.

Foundational references

Goodfellow, Deep Learning (2016) is a standard reference for this material and is used both as a curriculum anchor and as a long-form survey of techniques.

Historical context

Generative Adversarial Nets (Goodfellow, 2014) situates the topic in its historical trajectory; revisiting it clarifies which ideas in current practice are recent and which trace back to the field’s founding texts. Auto-Encoding Variational Bayes (Kingma, 2014) situates the topic in its historical trajectory; revisiting it clarifies which ideas in current practice are recent and which trace back to the field’s founding texts.

Open methodological questions in generative models cluster around how to compose the techniques above under realistic constraints — scale, adversarial inputs, partial observability, and shifting workloads. The cited references give the precise statements, proofs, and empirical evaluations that this overview only sketches; downstream topic pages drill into specific subfields.

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  1. 01

    Diffusion Models

    Generative models that learn to reverse a gradual noising process — synthesizing data by iteratively denoising from Gaussian noise, with state-of-the-art quality across images, video, audio, and structured outputs.

  2. 02

    Variational Autoencoders

    VAEs and amortized variational inference.

  3. 03

    Generative Adversarial Networks

    GANs and adversarial training of generators.

  4. 04

    Normalizing Flows

    Invertible neural networks for exact-likelihood density estimation.

  5. 05

    Autoregressive Generative Models

    PixelRNN, WaveNet, and autoregressive density models.

  6. 06

    Score-Based Generative Models

    Score matching and stochastic differential equation samplers.

  7. 07

    Flow Matching

    Continuous normalizing flows trained via flow-matching objectives.

  8. 08

    Consistency Models

    Few-step generative models distilled from diffusion.

  9. 09

    Energy-Based Models

    Unnormalized density models and contrastive divergence.

  10. 10

    Text-to-Image Generation

    Conditional generation of images from text prompts.

  11. 11

    Video Generation

    Text-to-video and video diffusion models.

  12. 12

    Audio Generation

    Neural vocoders, music, and general audio synthesis.

  13. 13

    3D Generation

    Generating 3D shapes, scenes, and assets.

  14. 14

    Controllable Generation

    Classifier-free guidance, ControlNet, and steerable generation.

  15. 15

    Generative Model Evaluation

    FID, IS, CLIP-score and human evaluation of generative outputs.


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