DOI: 10.1021/jp054148m. Random Sampling-High Dimensional Model Representation (RS-HDMR) and Orthogonality of Its Different Order Component Functions

Random Sampling-High Dimensional Model Representation (RS-HDMR) and Orthogonality of Its Different Order Component Functions

10.1021/jp054148m

Crossref journal-article

American Chemical Society (ACS)

The Journal of Physical Chemistry A (316)

Bibliography

Li, G., Hu, J., Wang, S.-W., Georgopoulos, P. G., Schoendorf, J., & Rabitz, H. (2006). Random Sampling-High Dimensional Model Representation (RS-HDMR) and Orthogonality of Its Different Order Component Functions. The Journal of Physical Chemistry A, 110(7), 2474â2485.

Authors 6

Genyuan Li (first)
Jishan Hu (additional)
Sheng-Wei Wang (additional)
Panos G. Georgopoulos (additional)
Jacqueline Schoendorf (additional)
Herschel Rabitz (additional)

References 24 Referenced 163

10.1016/S0010-4655(98)00152-0 / Comput. Phys. Commun. by Rabitz H. (1999)
10.1103/PhysRevB.58.1940 / Phys. Rev. B by Shim K. (1998)
{'key': 'jp054148mb00003/jp054148mb00003_1', 'first-page': '233', 'volume': '25', 'author': 'Alis O. F.', 'year': '1999', 'journal-title': 'J. Math. Chem.'} / J. Math. Chem. by Alis O. F. (1999)
10.1021/jp9843398 / J. Phys. Chem. A by Shorter J. (1999)
{'key': 'jp054148mb00005/jp054148mb00005_1', 'first-page': '142', 'volume': '29', 'author': 'Alis O. F.', 'year': '2001', 'journal-title': 'J. Math. Chem.'} / J. Math. Chem. by Alis O. F. (2001)
{'key': 'jp054148mb00006/jp054148mb00006_1', 'first-page': '7777', 'volume': '105', 'author': 'Li G.', 'year': '2001', 'journal-title': 'J. Phys. Chem. A'} / J. Phys. Chem. A by Li G. (2001)
{'key': 'jp054148mb00007/jp054148mb00007_1', 'first-page': '30426', 'volume': '104', 'author': 'Wang S. W.', 'year': '1999', 'journal-title': 'J. Geophys. Res.'} / J. Geophys. Res. by Wang S. W. (1999)
10.1029/1999GL011204 / Geophys. Res. Lett. by Shorter J. (2000)
{'key': 'jp054148mb00009/jp054148mb00009_1', 'first-page': '8733', 'volume': '106', 'author': 'Li G.', 'year': '2002', 'journal-title': 'J. Phys. Chem.'} / J. Phys. Chem. by Li G. (2002)
{'key': 'jp054148mb00010/jp054148mb00010_1', 'first-page': '4460', 'volume': '57', 'author': 'Li G.', 'year': '2002', 'journal-title': 'Chem. Eng. Sci.'} / Chem. Eng. Sci. by Li G. (2002)
10.1021/jp022119v / J. Phys. Chem. A by Wang S. W. (2003)
{'key': 'jp054148mb00012/jp054148mb00012_1', 'first-page': '30', 'volume': '30', 'author': 'Li G.', 'year': '2001', 'journal-title': 'J. Math. Chem.'} / J. Math. Chem. by Li G. (2001)
{'key': 'jp054148mb00013/jp054148mb00013_1', 'first-page': '656', 'volume': '24', 'author': 'Li G.', 'year': '2003', 'journal-title': 'J. Comput. Chem.'} / J. Comput. Chem. by Li G. (2003)
{'key': 'jp054148mb00014/jp054148mb00014_1', 'first-page': '283', 'volume': '24', 'author': 'Li G.', 'year': '2003', 'journal-title': 'J. Comput. Chem.'} / J. Comput. Chem. by Li G. (2003)
{'key': 'jp054148mb00015/jp054148mb00015_1', 'author': 'Li G.', 'journal-title': 'J. Comput. Chem., in press.'} / J. Comput. Chem., in press. by Li G.
10.1080/01621459.1983.10477037 / J. Am. Statist. Assoc. by Takemura A. (1983)
{'key': 'jp054148mb00017/jp054148mb00017_1', 'first-page': '414', 'volume': '1', 'author': 'Sobol I. M', 'year': '1993', 'journal-title': 'Mathematical Modeling and Computational Experiments'} / Mathematical Modeling and Computational Experiments by Sobol I. M (1993)
10.1063/1.1370947 / J. Chem. Phys. by Geremia J. M. (2001)
{'key': 'jp054148mb00019/jp054148mb00019_1', 'first-page': '406', 'volume': '5', 'author': 'Li G.', 'year': '2005', 'journal-title': 'IJRAM'} / IJRAM by Li G. (2005)
{'key': 'jp054148mb00020/jp054148mb00020_1', 'first-page': '2202', 'volume': '87', 'author': 'Feng X. J.', 'year': '2004', 'journal-title': 'Biophys. J.'} / Biophys. J. by Feng X. J. (2004)
{'key': 'jp054148mb00021/jp054148mb00021_1', 'volume-title': 'An Introduction to Probability and its Application', 'author': 'Larsen R. J.', 'year': '1985'} / An Introduction to Probability and its Application by Larsen R. J. (1985)
10.1093/oso/9780198502784.001.0001 / Approximating Integrals via Monte Carlo and Deterministic Methods by Evan M. (2000)
{'key': 'jp054148mb00023/jp054148mb00023_1', 'volume-title': 'TN', 'author': 'Risk', 'year': '2004'} / TN by Risk (2004)
10.1007/978-1-4684-9298-9 / Best Approximation in Inner Product Space by Deutsch F. (2001)

Dates

Type	When
Created	19 years, 6 months ago (Feb. 16, 2006, 12:47 a.m.)
Deposited	1 year, 7 months ago (Feb. 2, 2024, 6:53 p.m.)
Indexed	5 days, 17 hours ago (Aug. 31, 2025, 6:18 a.m.)
Issued	19 years, 7 months ago (Jan. 28, 2006)
Published	19 years, 7 months ago (Jan. 28, 2006)
Published Online	19 years, 7 months ago (Jan. 28, 2006)
Published Print	19 years, 7 months ago (Feb. 1, 2006)

Funders 0

None

BibTeX

@article{Li_2006, title={Random Sampling-High Dimensional Model Representation (RS-HDMR) and Orthogonality of Its Different Order Component Functions}, volume={110}, ISSN={1520-5215}, url={http://dx.doi.org/10.1021/jp054148m}, DOI={10.1021/jp054148m}, number={7}, journal={The Journal of Physical Chemistry A}, publisher={American Chemical Society (ACS)}, author={Li, Genyuan and Hu, Jishan and Wang, Sheng-Wei and Georgopoulos, Panos G. and Schoendorf, Jacqueline and Rabitz, Herschel}, year={2006}, month=jan, pages={2474–2485} }

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