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Bayesian methods

Utofatishaji Tofauti wa Kiotomatiki (ADVI)

Utofatishaji Tofauti wa Kiotomatiki (ADVI) ni algoriti ya kisanduku cheusi kwa ajili ya makadirio ya hitimisho la nyuma la Bayesian, iliyoanzishwa na Kucukelbir, Tran, Ranganath, Gelman, na Blei (2017, JMLR). Kwa kuzingatia mfumo wowote wa uwezekano ambao msongamano wake wa log-joint unaweza kutofautishwa, ADVI hubadilisha kiotomatiki vigezo fiche vilivyozuiliwa kuwa nafasi halisi isiyo na vizuizi, hutoshea familia ya tofauti ya Gaussian kwa kuongeza kikomo cha chini cha ushahidi (ELBO) kwa kupanda kwa gradient ya stochastic, na kurejesha hitimisho la nyuma la kukadiria bila upunguzaji maalum wa mfumo. Ni injini chaguo-msingi ya utofatishaji tofauti katika Stan na inapatikana katika PyMC na NumPyro.

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Vyanzo

  1. Kucukelbir, A., Tran, D., Ranganath, R., Gelman, A. & Blei, D. M. (2017). Automatic differentiation variational inference. Journal of Machine Learning Research, 18(14), 1–45. link
  2. Kucukelbir, A., Tran, D., Ranganath, R., Gelman, A. & Blei, D. M. (2016). Automatic differentiation variational inference. arXiv:1603.00788. link
  3. Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955

Jinsi ya kunukuu ukurasa huu

ScholarGate. (2026, June 3). Automatic Differentiation Variational Inference (ADVI). ScholarGate. https://scholargate.app/sw/bayesian/automatic-differentiation-variational-inference

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ScholarGateAutomatic Differentiation Variational Inference (Automatic Differentiation Variational Inference (ADVI)). Imepatikana 2026-06-15 kutoka https://scholargate.app/sw/bayesian/automatic-differentiation-variational-inference · Seti ya data: https://doi.org/10.5281/zenodo.20539026