High dimensional model representation for piece‐wise continuous function approximation

By Rajib Chowdhury, B. Rao, A. Prasad. 2007

53 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Control and Systems Engineering, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/810db997b0a60b0e2d06c0b2227eedb1e3b0e0f0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Aerospace Engineering

1. B. Rao
2. B. A. Le
3. Qi-Chang He
4. Julien Yvonnet
5. Rajib Chowdhury

In Control and Systems Engineering

1. B. Rao
2. B. A. Le
3. Qi-Chang He
4. Julien Yvonnet
5. Rajib Chowdhury

In Statistics and Probability

1. B. Rao
2. B. A. Le
3. Qi-Chang He
4. Julien Yvonnet
5. Rajib Chowdhury
6. Sharif Rahman
7. Marc Duflot

Citations in the corpus

• Computational homogenization of nonlinear elastic materials using neural networks (2015, methodology): “Among them, we can cite the high-dimensional model representation (HDMR) [20], the weighted trigonometric approximation [21], radial basis functions [22], moving least squares [23], or methods of separated variables representations [24–27].”
• Probabilistic Analysis Using High Dimensional Model Representation and Fast Fourier Transform (2008, background): “Recently, authors adopted High Dimensional Model Representation (HDMR) concepts to find an equivalent continuous function to replace a univariate or multivariate piece-wise continuous function, rather than seeking an exact continuous function [ 16 ] and extended HDMR concepts in reliability analysis”