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Hồi quy Logistic×Định lượng Bất định×
Lĩnh vựcThống kê nghiên cứuMô phỏng
HọProcess / pipelineProcess / pipeline
Năm ra đời1958Seminal modern form: 2002
Người khởi xướngDavid Roxbee CoxNorbert Wiener (polynomial chaos, 1938); extended to Wiener–Askey scheme by Xiu & Karniadakis (2002)
LoạiMethodComputational uncertainty analysis framework
Công trình gốcCox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗Xiu, D. & Karniadakis, G.E. (2002). The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations. SIAM Journal on Scientific Computing, 24(2), 619–644. DOI ↗
Tên gọi kháclogit model, binomial logistic regression, LRUQ, polynomial chaos expansion, PCE, Kriging surrogate
Liên quan39
Tóm tắtLogistic regression is a statistical method for modeling the probability of a binary outcome (disease present/absent, success/failure) as a function of continuous and categorical predictors. Developed by David Roxbee Cox (1958), it solves the problem of predicting categorical outcomes by applying a logistic transformation to constrain predictions to the [0,1] probability interval, enabling accurate risk stratification, diagnostic prediction, and causal inference in epidemiology, medicine, and social science.Uncertainty Quantification (UQ) is a computational framework for systematically measuring how uncertainty in the inputs of a model propagates into uncertainty in its outputs. Building on Wiener's polynomial chaos theory (1938) and formalised for general stochastic problems by Xiu and Karniadakis (2002), UQ uses two primary strategies: Polynomial Chaos Expansion (PCE), which represents the model output as a series of orthogonal polynomials matched to the input distributions, and Kriging (Gaussian process) surrogates, which replace an expensive simulation with a fast statistical approximation fitted to a small set of carefully chosen runs.
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ScholarGateSo sánh phương pháp: Logistic Regression · Uncertainty Quantification. Truy cập ngày 2026-06-19 từ https://scholargate.app/vi/compare