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On the approximation error in high dimensional model representation

https://doi.org/10.1109/wsc.2008.4736100
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1016/s0010-4655(98)00152-0openalex-snapshot
Efficient input—output model representations
inferredcites →https://doi.org/10.1016/s0885-064x(03)00003-7openalex-snapshot
The effective dimension and quasi-Monte Carlo integration
inferredcites →https://doi.org/10.1287/opre.1060.0334openalex-snapshot
On the Effects of Dimension Reduction Techniques on Some High-Dimensional Problems in Finance
inferredcites →https://doi.org/10.21314/jcf.1997.005openalex-snapshot
Valuation of mortgage-backed securities using Brownian bridges to reduce effective dimension

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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High-Dimensional Dynamic Stochastic Model Representation
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Sensitivity analysis using anchored ANOVA expansion and high‐order moments computation
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Dimension-wise Decompositions
inferred← citeshttps://doi.org/10.1007/978-3-642-16004-2_7openalex-snapshot
Summary and Conclusions
inferred← citeshttps://doi.org/10.1007/s10915-023-02417-wopenalex-snapshot
An Adaptive ANOVA Stochastic Galerkin Method for Partial Differential Equations with High-dimensional Random Inputs
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Experiments with an adaptive multicut-HDMR map generation for slowly varying continuous multivariate functions
inferred← citeshttps://doi.org/10.1016/j.cma.2014.02.023openalex-snapshot
Anchored ANOVA Petrov–Galerkin projection schemes for parabolic stochastic partial differential equations
inferred← citeshttps://doi.org/10.1016/j.ijthermalsci.2017.04.004openalex-snapshot
Thermochemical ablation modeling forward uncertainty analysis—Part I: Numerical methods and effect of model parameters
inferred← citeshttps://doi.org/10.1016/j.jco.2010.06.001openalex-snapshot
Dimension-wise integration of high-dimensional functions with applications to finance
inferred← citeshttps://doi.org/10.1016/j.jcp.2010.01.033openalex-snapshot
An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations
inferred← citeshttps://doi.org/10.1016/j.jcp.2016.03.026openalex-snapshot
Adaptive surrogate modeling by ANOVA and sparse polynomial dimensional decomposition for global sensitivity analysis in fluid simulation
inferred← citeshttps://doi.org/10.1016/j.jcp.2020.109519openalex-snapshot
ANOVA Gaussian process modeling for high-dimensional stochastic computational models
inferred← citeshttps://doi.org/10.1016/j.probengmech.2010.09.005openalex-snapshot
Decomposition methods for structural reliability analysis revisited
inferred← citeshttps://doi.org/10.1051/m2an/2017003openalex-snapshot
Error analysis of truncated expansion solutions to high-dimensional parabolic PDEs
inferred← citeshttps://doi.org/10.1090/s0025-5718-2014-02883-4openalex-snapshot
Approximation errors in truncated dimensional decompositions
inferred← citeshttps://doi.org/10.1137/21m1392231openalex-snapshot
High-Dimensional Dynamic Stochastic Model Representation
inferred← citeshttps://doi.org/10.1145/3093172.3093234openalex-snapshot
Parallelized Dimensional Decomposition for Large-Scale Dynamic Stochastic Economic Models
inferred← citeshttps://doi.org/10.1615/int.j.uncertaintyquantification.2024054685openalex-snapshot
CLUSTERING BASED MULTIPLE ANCHORS HIGH-DIMENSIONAL MODEL REPRESENTATION
inferred← citeshttps://doi.org/10.17077/etd.lcsndtzhopenalex-snapshot
Novel computational methods for stochastic design optimization of high-dimensional complex systems
inferred← citeshttps://doi.org/10.2514/6.2012-5436openalex-snapshot
Approximation Errors in Truncated Dimensional Decompositions for Uncertainty Quantification
inferred← citeshttps://doi.org/10.2514/6.2019-0723openalex-snapshot
Sequential Reliability-Based Design Optimization via Anchored Decomposition
inferred← citeshttps://doi.org/10.4467/2353737xct.14.318.3406openalex-snapshot
Multivariate function approximation using sparse grids and High Dimensional Model Representation – a comparison
inferred← citeshttps://doi.org/10.48550/arxiv.1310.6769openalex-snapshot
Approximation Errors in Truncated Dimensional Decompositions
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