JOURNAL ARTICLE published 1999 in Journal of Mathematical Chemistry

Authors: Herschel Rabitz | Ömer F. Aliş

High Dimensional Model Representations

JOURNAL ARTICLE published 1 August 2001 in The Journal of Physical Chemistry A

Authors: Genyuan Li | Carey Rosenthal | Herschel Rabitz

Ratio control variate method for efficiently determining high‐dimensional model representations

JOURNAL ARTICLE published 30 July 2006 in Journal of Computational Chemistry

Authors: Genyuan Li | Herschel Rabitz

Regularized random-sampling high dimensional model representation (RS-HDMR)

JOURNAL ARTICLE published March 2008 in Journal of Mathematical Chemistry

Authors: Genyuan Li | Herschel Rabitz | Jishan Hu | Zheng Chen | Yiguang Ju

An Efficient Chemical Kinetics Solver Using High Dimensional Model Representation

JOURNAL ARTICLE published 1 September 1999 in The Journal of Physical Chemistry A

Authors: Jeffrey A. Shorter | Precila C. Ip | Herschel A. Rabitz

High‐dimensional model representations generated from low order terms—lp‐RS‐HDMR

JOURNAL ARTICLE published 15 April 2003 in Journal of Computational Chemistry

Authors: Genyuan Li | Maxim Artamonov | Herschel Rabitz | Sheng‐wei Wang | Panos G. Georgopoulos | Metin Demiralp

Global uncertainty assessments by high dimensional model representations (HDMR)

JOURNAL ARTICLE published November 2002 in Chemical Engineering Science

Authors: Genyuan Li | Sheng-Wei Wang | Herschel Rabitz | Sookyun Wang | Peter Jaffé

High-Dimensional Model Representation of Cyclic Voltammograms

JOURNAL ARTICLE published 1 March 2006 in Analytical Chemistry

Authors: Lesław K. Bieniasz | Herschel Rabitz

High dimensional model representation constructed by support vector regression. I. Independent variables with known probability distributions

JOURNAL ARTICLE published January 2017 in Journal of Mathematical Chemistry

Research funded by National Science Foundation (CHE-1464569) | John Templeton Foundation (52265)

Authors: Genyuan Li | Xi Xing | William Welsh | Herschel Rabitz

Efficient input—output model representations

JOURNAL ARTICLE published March 1999 in Computer Physics Communications

Authors: Herschel Rabitz | Ömer F. Aliş | Jeffrey Shorter | Kyurhee Shim

Reproducing kernel Hilbert space interpolation methods as a paradigm of high dimensional model representations: Application to multidimensional potential energy surface construction

JOURNAL ARTICLE published 1 October 2003 in The Journal of Chemical Physics

Authors: Tak-San Ho | Herschel Rabitz

Meshless Hermite-HDMR finite difference method for high-dimensional Dirichlet problems

JOURNAL ARTICLE published June 2019 in Journal of Mathematical Chemistry

Research funded by National Science Foundation (CHE-1763198) | Templeton Foundation (52265)

Authors: Xiaopeng Luo | Xin Xu | Herschel Rabitz

Numerical meshless solution of high-dimensional sine-Gordon equations via Fourier HDMR-HC approximation

JOURNAL ARTICLE published August 2019 in Journal of Mathematical Chemistry

Research funded by National Science Foundation (CHE-1763198) | Templeton Foundation (52265)

Authors: Xin Xu | Xiaopeng Luo | Herschel Rabitz

Boson representations of one-dimensional scattering

JOURNAL ARTICLE published 14 January 2000 in Journal of Physics A: Mathematical and General

Authors: Toru Miyazawa

A scalable algorithm for molecular property estimation in high dimensional scaffold-based libraries

JOURNAL ARTICLE published August 2012 in Journal of Mathematical Chemistry

Authors: Sofia Izmailov | XiaoJiang Feng | Genyuan Li | Herschel Rabitz

Estimation of Molecular Properties by High-Dimensional Model Representation

JOURNAL ARTICLE published 1 January 2006 in The Journal of Physical Chemistry A

Authors: Michael Y. Hayes | Baiqing Li | Herschel Rabitz

Wavefunction controllability for finite-dimensional bilinear quantum systems

JOURNAL ARTICLE published 14 March 2003 in Journal of Physics A: Mathematical and General

Authors: Gabriel Turinici | Herschel Rabitz

Experimental Design of Formulations Utilizing High Dimensional Model Representation

JOURNAL ARTICLE published 23 July 2015 in The Journal of Physical Chemistry A

Research funded by Office of Naval Research (N00014-11-1-0716)

Authors: Genyuan Li | Caleb Bastian | William Welsh | Herschel Rabitz

Viewing finite dimensional representations through infinite dimensional ones

JOURNAL ARTICLE published 1 January 1999 in Pacific Journal of Mathematics

Authors: Dieter Happel | Birge Huisgen-Zimmermann

Discrete representations of the n-dimensional wave equation

JOURNAL ARTICLE published 7 March 1992 in Journal of Physics A: Mathematical and General

Authors: H J Hrgovcic