{"product_id":"diffusion-models-score-based-generative-yehuda-setnik-9798273709928","title":"Diffusion Models \u0026 Score-Based Generative Modeling: Theorems, Proofs, and Python Implementations","description":"\u003cp\u003eThe complete graduate-level reference for diffusion probabilistic modeling, score estimation, and reverse-time SDEs for generative AI.\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eMathematical foundations. From measure-theoretic probability and stochastic calculus to Fokker-Planck and Kolmogorov equations, martingales, Girsanov change of measure, and Doob transforms, with careful statements of existence, uniqueness, and regularity.\u003c\/li\u003e\n\u003cli\u003eUnifying the score perspective. Fisher divergence, de Bruijn identity, Stein operators, and Hyvarinen score matching, with denoising and noise-conditional formulations that bridge to practical training at multiple noise scales.\u003c\/li\u003e\n\u003cli\u003eDiffusion constructions. Forward SDE families (VE, VP, sub-VP), reverse-time SDEs, probability flow ODEs, and discrete-time DDPM with a principled ELBO, all derived end-to-end.\u003c\/li\u003e\n\u003cli\u003eLikelihoods and diagnostics. Instantaneous change-of-variables, Hutchinson trace estimation, path-space KL, and conditions for likelihood-consistent sampling and ODE debiasing.\u003c\/li\u003e\n\u003cli\u003eNumerical analysis for fast, stable samplers. Weak and strong error theory for Euler-Maruyama, Heun, and Milstein; stiffness and log-SNR schedules; high-order ODE methods and predictor-corrector strategies with rigorous error control.\u003c\/li\u003e\n\u003cli\u003eConditioning and inverse problems. Classifier and classifier-free guidance as controlled diffusions, linear inverse problems via diffusion posterior sampling, and measurement-consistent samplers grounded in Bayesian and control-theoretic principles.\u003c\/li\u003e\n\u003cli\u003eBeyond Euclidean spaces. Discrete-state jump processes, scores on manifolds and Lie groups, Schrödinger bridges and entropic optimal transport, KL control and HJB equations, latent diffusion, consistency models, and rectified flows, with proofs and practical algorithms.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Yehuda Setnik\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9798273709928\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Independently Published\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/09\/2025\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 358\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.83lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 11.00h x 8.50w x 0.74d","brand":"Yehuda Setnik","offers":[{"title":"Paperback","offer_id":48066747105535,"sku":"9798273709928","price":79.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_7302ad8d-b014-4a69-b35e-de01ab5149ad.jpg?v=1768680285","url":"https:\/\/www.whiterainbookhouse.com\/products\/diffusion-models-score-based-generative-yehuda-setnik-9798273709928","provider":"WR Book House","version":"1.0","type":"link"}