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Sample Publications - Mathematics
1. Jones, L. (2000) On Local Greedy Approximation For Nonlinear Regression and Neural Network Training, Annals of Statistics Vol. 28, No. 5, pp. 1379 – 1389.
2. Jones, L., P.J. O’Neil. (2002) Markov Chain Monte Carlo Algorithms for Computing Conditional Expectations Based on Sufficient Statistics, Journal of Computational and Graphical Statistics.
3. Jones, L. (2002) On Optimal Local Finite Sample Function Estimation for Neural Networks and Machine Learning: Some Attempts at Beating the Curse of Dimensionality, U Mass Lowell copyright 2002, also submitted to Annals of Statistics.
1. R. Connelly, K. Rybnikov, S. Volkov (2001). Percolation of the Loss of Tension in an In_nite Triangular Lattice, Journal of Statistical Physics, 105, No. 1/2, 145-173.
2. R. M. Erdahl, K. A. Rybnikov, and S. S. Ryshkov. (2001) On traces of d-stresses in the skeletons of lower dimensions of homology d-manifolds, Europ. J. Combin. 22, No. 6, 801-820.
3. R.M.Erdahl,K. Rybnikov, Supertopes.pdf, (2002) at http://www.math.cornell.edu/~rybnikov or http://faculty.uml.edu/krybnikov/Supertopes.pdf
4. K. A. Rybnikov, T. Zaslavsky, (2002) Cycle and Circle Tests of Balance in Gain Graphs: Forbidden Minors and Their Groups: http://www.math.binghamton.edu/zaslav/Tpapers; math.CO/0209316 on arXiv.org. Submitted to J. Comb. Theory B.
5. R. M. Erdahl, K. Rybnikov, Voronoi's Hypothesis on Perfect Forms and L-types. math.NT/011209; short version to appear in the Peter Gruber Festshrift.
6. R. M. Erdahl, K. Rybnikov, (2002). New In_nite Series of Perfect Quadratic Forms and Big Delaunay Simplexes in Zn. math.MG/0112098; Proc. of Steklov Inst. of Math. 239.
7. M. Menshikov, K. Rybnikov, S. Volkov. (2002) Loss of Tension in an In_nite Membrane with Holes Distributed by Poisson Law. Advances in Applied Probability, 34, No. 2, 292-312.
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