High dimensional model representations generated from low dimensional data samples. I: mp-cut-HDMR
From MaRDI portal
Publication:5950904
DOI10.1023/A:1013172329778zbMath1023.81521OpenAlexW191413195MaRDI QIDQ5950904
Shengwei Wang, Herschel Rabitz, Carey Rosenthal, Genyuan Li
Publication date: 18 December 2001
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1013172329778
Input-output approaches in control theory (93D25) Computational methods for problems pertaining to quantum theory (81-08) Molecular physics (81V55)
Related Items
Inverse analysis for rock mechanics based on a high dimensional model representation, Sensitivity analysis: a review of recent advances, An adaptive ANOVA-based PCKF for high-dimensional nonlinear inverse modeling, Survey of modeling and optimization strategies to solve high-dimensional design problems with computationally-expensive black-box functions, An adaptive dimension decomposition and reselection method for reliability analysis, A new Bayesian probabilistic integration framework for hybrid uncertainty propagation, Stochastic collocation approach with adaptive mesh refinement for parametric uncertainty analysis, General formulation of HDMR component functions with independent and correlated variables, Combined small scale high dimensional model representation, Is mortality or interest rate the most important risk in annuity models? A comparison of sensitivity analysis methods, Analytical HDMR formulas for functions expressed as quadratic polynomials with a multivariate normal distribution, Hybrid high dimensional model representation for reliability analysis, High dimensional model representation for piece‐wise continuous function approximation, Regularized random-sampling high dimensional model representation (RS-HDMR), Stochastic sensitivity analysis using preconditioning approach, A global tolerance approach to sensitivity analysis in linear programming, Reproducing kernel technique for high dimensional model representations (HDMR), Functional ANOVA, ultramodularity and monotonicity: applications in multiattribute utility theory, A high dimensional model representation based numerical method for solving ordinary differential equations, Stochastic sensitivity analysis using HDMR and score function, Adaptive reliability analysis for rare events evaluation with global imprecise line sampling, Gaussian processes with built-in dimensionality reduction: applications to high-dimensional uncertainty propagation, Probabilistic Analysis Using High Dimensional Model Representation and Fast Fourier Transform, Enhanced high-dimensional model representation for reliability analysis, High‐dimensional model representation for structural reliability analysis, Shapley effects for sensitivity analysis with dependent inputs: bootstrap and kriging-based algorithms, Bound analysis in univariately truncated generalized high dimensional model representation for random-data partitioning: Interval GHDMR, High-dimensional model representation for structural reliability analysis: Authors' reply to comments by S. Rahman and H. Xu, Sparse low rank approximation of potential energy surfaces with applications in estimation of anharmonic zero point energies and frequencies, Constancy maximization based weight optimization in high dimensional model representation, Screening: from tornado diagrams to effective dimensions, Importance measure analysis of design variables and uncertain parameters in multidisciplinary systems
