Mathematics
Dr. Jones
- Jones, L. (2000) On Local Greedy Approximation For Nonlinear Regression and Neural Network Training, Annals of Statistics Vol. 28, No. 5, pp. 1379–1389.
- 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.
- 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.
Dr. Rybnikov
- 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.
- 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.
- R.M. Erdahl,K. Rybnikov, Supertopes.pdf (2002)
- K. A. Rybnikov, T. Zaslavsky, (2002) Cycle and Circle Tests of Balance in Gain Graphs: Forbidden Minors and Their Groups:math.CO/0209316 on arXiv.org. Submitted to J. Comb. Theory B.
- 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.
- 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.
- 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.