A Computationally Efficient Multivariate Maximum-Entropy Density Estimation (MEDE) Technique

IEEE Transactions on Geoscience and Remote Sensing

Volumn 42, Issue 2, 2004, Pages 457-468

  Kouskoulas, Yanni ^a   Pierce, Leland E ^a   Ulaby, Fawwaz T ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Adaptive estiamtion; Image classification; Maximum entropy methods; Probability

Indexed keywords

CONSTRAINT THEORY; DATA REDUCTION; ENTROPY; IMAGE ANALYSIS; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION; PROBLEM SOLVING;

ADAPTIVE ESTIMATION; IMAGE CLASSIFICATION; MAXIMUM-ENTROPY METHODS;

REMOTE SENSING;

EID: 1442287505     PISSN: 01962892     EISSN: None     Source Type: Journal    
DOI: 10.1109/TGRS.2003.821068     Document Type: Article

References (16)

1. J. M. Borwein and W. Huang, "A fast heuristic method for polynomial moment problems with Boltzmann-Shannon entropy," SIAM J. Optim., vol. 5, no. 1, pp. 68-99, 1995.
2. J. M. Borwein, A. Lewis, and D. Noll, "Maximum entropy reconstruction using derivative information, part 1: Fisher information and convex duality," Math. Oper. Res., vol. 21, no. 2, 1996.
3. L. Chao, "Multidimensional nonstationary maximum entropy spectral analysis by using neural net," Math. Geol., vol. 31, no. 6, 1999.
4. T. M. Cover and J. A. Thomas, Elements of Information Theory. New York: Wiley, 1991.
5. R. de Bruin, D. Salomé, and W. Schaafsma, "A semi-Bayesian method for nonparametric density estimation," Comput. Statist. Data Anal., vol. 30, pp. 19-30, 1999.
6. L. Devroye, A Course in Density Estimation. Cambridge, MA: Birkhäuser, 1987.
7. S. F. Gull, "Some misconceptions about entropy," in Maximum Entropy in Action. Oxford, U.K.: Clarendon, 1991.
8. P. Hall and B. Presnell, "Density estimation under constraints," Amer. Statist. Assoc., vol. 8, no. 2, pp. 259-277, 1999.
9. E. T. Jaynes, "Information theory and statistical mechanics," Phys. Rev., vol. 106, pp. 620-630, 1957.
10. _, "On the rationale of maximum-entropy methods," Proc. IEEE, vol. 70, pp. 939-952, 1982.
11. D. Ormoneit and H. White, "An efficient algorithm to compute maximum entropy densities," Econ. Rev., vol. 18, pp. 127-140, 1999.
12. H. K. Ryu, "Maximum entropy estimation of density and regression functions," J. Econ., vol. 56, pp. 397-440, 1993.
13. D. W. Scott, Multivariate Density Estimation. New York: Wiley, 1992.
14. B. Silverman, Density Estimation for Statistics and Data Analysis. New York: Chapman & Hall, 1986.
15. J. R. Thompson and R. A. Tapia, Nonparametric Function Estimation, Modeling, and Simulation. Philadelphia, PA: SIAM, 1990.
16. M. Tribus, "Thirty years of information theory," in The Maximum Entropy Formalism. Cambridge, MA: MIT Press, 1979.