Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

High-dimensional model representations generated from low order terms--lp-RS-HDMR.

Genyuan Li1, Maxim Artamonov, Herschel Rabitz

  • 1Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA.

Journal of Computational Chemistry
|March 13, 2003
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Combined effects of xylene and noise exposure at realistic low levels on hearing impairment: a cross-sectional study in China.

Preventive medicine reports·2026
Same author

<i>Adenia sajoreciae</i> (Passifloraceae), a new species from Kenya and its phylogenetic placement.

PhytoKeys·2026
Same author

Preparation, stability and in vitro digestion of β-carotene-loaded emulsions stabilized by succinylated rice glutelin.

Journal of the science of food and agriculture·2026
Same author

Plastid genomes and phylogenomic relationships in Cheilosoideae, a poorly known early-diverging subfamily of Euphorbiaceae.

BMC plant biology·2026
Same author

Impact of regulatory actions to establish maximum contaminant levels on per- and polyfluoroalkyl substances in New Jersey public water systems.

Environment international·2026
Same author

The association between parental mental health and screen time among U.S. children aged 6-17.

BMC psychology·2025
Same journal

How Do DICER1 Syndrome Mutations Disrupt Catalysis? Unveiling Dicer Metal Binding Architecture and Mechanism of Action Using MD Simulations and QM/MM Calculations.

Journal of computational chemistry·2026
Same journal

Quadruple Bonding of Alkaline Earth Atoms in AeCLi<sub>4</sub> (Ae = Be - Ba) Complexes.

Journal of computational chemistry·2026
Same journal

From SMILES Codes for Reactants and Products to Transition States With VeloxChem.

Journal of computational chemistry·2026
Same journal

Electric-Field Effects on Structure and Conductance in a Cytochrome b<sub>562</sub> Junction.

Journal of computational chemistry·2026
Same journal

Quantum Chemistry Study of Luminescence Quenching in the Eu<sup>3+</sup>@UiO-67 Sensor Induced by Ag<sup>+</sup> Ions.

Journal of computational chemistry·2026
Same journal

Projection-Modified Direct Inversion in the Iterative Subspace: A Memory-Efficient Convergence Method for the Extended Molecular Ornstein-Zernike Theory.

Journal of computational chemistry·2026
See all related articles

This study introduces a novel low-order term product (lp)-RS-HDMR method to efficiently approximate high-order terms in high-dimensional model representation. This technique enhances model analysis without direct computation of complex component functions.

Area of Science:

  • Computational Chemistry
  • Mathematical Modeling
  • Systems Analysis

Background:

  • High-dimensional model representation (HDMR) offers tools for analyzing complex input-output systems.
  • Random sampling HDMR (RS-HDMR) is a variant using random sampling for efficiency.
  • High-order terms in HDMR expansions are often negligible but can be crucial.

Purpose of the Study:

  • To introduce a modified low-order term product (lp)-RS-HDMR method.
  • To approximate high-order RS-HDMR component functions using products of low-order functions.
  • To enable construction of high-order truncated RS-HDMR expansions without direct computation.

Main Methods:

  • Development of the mathematical foundations for lp-RS-HDMR.
  • Application of the lp-RS-HDMR method to approximate high-order component functions.

Related Experiment Videos

  • Utilizing random sampling (RS) for efficient model representation.

    • Main Results:

    • The lp-RS-HDMR method provides an approximation for high-order RS-HDMR component functions.
    • High-order truncated RS-HDMR expansions can be constructed indirectly.
    • Demonstrated utility in an atmospheric chemical kinetics model.

    Conclusions:

    • The lp-RS-HDMR method offers a computationally efficient approach for high-dimensional model analysis.
    • This method simplifies the representation of complex systems by avoiding direct calculation of high-order terms.
    • The approach is validated through its application in atmospheric chemistry.