Selected Online Publications
Monograph: Probability
Distributions in Quantum Statistical Mechanics (PDF)
Papers: (Available in .PDF format unless otherwise specified)
Integrating genomic data to predict transcription factor binding (with C. Delisi and D. Holloway), to appear, Bioinformatics and Systems Biology
Average complexity of approximation by neural networks (with L. Plaskota) to appear, J. Complexity
Extending Girosi's approximation estimates for functions in Sobolev spaces via statistical learning theory (with L. Raphael and D. Williams), J. Analysis and Applications 3 No. 2 (2005), 67-90.
Statistical likelihood representations of prior knowledge in machine learning (with L, Plaskota and A. Przybyszewski), to appear, Artificial Intelligence and Applications
Machine learning and statistical MAP methods (with L. Plaskota and A. Przybyszewski), to appear, Intelligent Information Systems
On some integrated approaches to inference (with L. Plaskota), preprint, 2004
Complexity of predictive neural networks (with
L. Plaskota) Proceedings of International
Conference on Complexity (2003)
Sup-norm convergence rates of wavelet expansions in
Besov Spaces (with L. Raphael), in Applicable Mathematics (2002),
193-203.
Pointwise wavelet convergence in Besov and Uniformly Local Sobolev Spaces (with L. Raphael), Journal of Contemporary Mathematical Analysis 36 (2002), 51-68.
Complexity of neural network approximation with
limited information: a worst-case
approach (with L. Plaskota), J.
Complexity 17 (2001), 345-365.
Convergence rates of multiscale and wavelet
expansions (with L. Raphael), in Wavelet Transforms and Time-Frequency
Signal Analysis, American Mathematical Society CBMS Volume, L. Debnath, Ed.
(2001), 37-65.
A characterization of wavelet convergence in Sobolev
spaces (with L. Raphael), Applicable Analysis 78 (2001),
271-324.
Complexity of regularization RBF networks (with
L. Plaskota), in Proceedings of
International Joint Congress on Neural Networks, INNS,
Review of Complexity and Information, (by J.F. Traub and A.G. Werschulz), Bull. Amer. Math Soc. 37 (2000), 199-204.
Information complexity of neural networks (with L.
Plaskota), Neural Networks 13 (2000), 365-376.
Oscillation criteria for delay equations (with Y.
Sficas and I. P. Stavroulakis), Proc. Am. Math. Soc. 128 (2000), 2989-2997.
Neural networks, radial basis functions, and
complexity (with L. Plaskota), Proceedings of Bialowieza Conference on
Statistical Physics, 1997, 122-145.
Exact smoothing properties of Schrodinger semigroups (with A. Gulisashvili),
American J. Math. 118 (1996), 1215-1248
Pointwise convergence of wavelet expansions (with S. Kelly and L. Raphael), Bull.
Amer. Math. Soc. 30 (1994), 87-94
Local convergence of wavelet expansions (with S. Kelly and L. Raphael), J.
Functional Anal. 126 (1994), 102-138
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