High dimensional model representations generated from low dimensional data samples. I. mp-Cut-HDMR

Journal of Mathematical Chemistry

Volumn 30, Issue 1, 2001, Pages 1-30

  Li, Genyuan ^a   Wang, Sheng Wei ^b   Rosenthal, Carey ^c   Rabitz, Herschel ^a  

^a PRINCETON UNIVERSITY   (United States)

^b RUTGERS UNIVERSITY   (United States)

^c DREXEL UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035568525     PISSN: 02599791     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1013172329778     Document Type: Article

References (9)

1. H. Rabitz, O.F. Alis, J. Shorter and K. Shim, Efficient input-output model representations, Comput. Phys. Commun. 115(1998) 1-10.
2. O.F. Alis and H. Rabitz, General foundations of high dimensional model representations, J. Math. Chem. 25 (1999) 197-233.
3. γ alloys, Phys. Rev. B 58 (1998) 1940-1946.
4. J. Shorter and H. Rabitz, An efficient chemical kinetics solver using high dimensional model representations, J. Phys. Chem. A 103(36) (1999) 7192-7198.
5. R.G. Ghanem and P.D. Spanos, Stochastic Finite Elements: A Spectral Approach (Springer-Verlag, New York, 1991).
6. O.F. Alis and H. Rabitz, Efficient implementation of high dimensional model representations, in: Mathematical and Statistical Methods for Sensitivity Analysis, ed. A. Saltelli (Wiley, 2000).
7. S.W. Wang, H. Levy II, G. Li and H. Rabitz, Fully equivalent operational models for atmospheric chemical kinetics within global chemistry-transport models, J. Geophys. Res. 104(D23) (1999) 30,417-30,426.
8. A. Faliks, R.A. Yetter, C.A. Floudas, S.L. Bernasek, M. Fransson and H. Rabitz, Optimal control of catalytic methanol conversion to formaldehyde, J. Catal. (in press).
9. W.J. Gordon, Distributive lattices and the approximation of multivariate functions, in: Proc. Symp. Approximation with Special Emphasis on Spline Functions, ed. I.J. Schoenberg (Academic Press, New York, 1969) pp. 223-277.