Follow
Paul Kainen
Paul Kainen
Adj Prof at Gtn Univ & Dir. of the Lab for Visual Math, Department of Mathematics and Statistics
Verified email at georgetown.edu - Homepage
Title
Cited by
Cited by
Year
The book thickness of a graph
F Bernhart, PC Kainen
Journal of Combinatorial Theory, Series B 27 (3), 320-331, 1979
5211979
The four-color problem: assaults and conquest
TL Saaty, PC Kainen
McGraw-Hill, 1977
3741977
Estimates of the number of hidden units and variation with respect to half-spaces
V Kůrková, PC Kainen, V Kreinovich
Neural Networks 10 (6), 1061-1068, 1997
1221997
Toroidal graphs with arbitrarily high crossing numbers
F Harary, PC Kainen, AJ Schwenk
Nanta Math 6 (1), 58-67, 1973
1171973
Functionally equivalent feedforward neural networks
V Kůrková, PC Kainen
Neural Computation 6 (3), 543-558, 1994
981994
Quasiorthogonal dimension of Euclidean spaces
PC Kainen, V Kůrková
Applied mathematics letters 6 (3), 7-10, 1993
661993
Approximation by neural networks is not continuous
PC Kainen, V Kůrková, A Vogt
Neurocomputing 29 (1-3), 47-56, 1999
651999
The book thickness of a graph II
PC Kainen
Congressus Numerantium 71, 121-132, 1990
621990
Thickness and coarseness of graphs
PC Kainen
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 39 (1 …, 1973
621973
Complexity of Gaussian-radial-basis networks approximating smooth functions
PC Kainen, V Kůrková, M Sanguineti
Journal of Complexity 25 (1), 63-74, 2009
592009
Dependence of computational models on input dimension: Tractability of approximation and optimization tasks
PC Kainen, V Kurkova, M Sanguineti
IEEE Transactions on Information Theory 58 (2), 1203-1214, 2012
562012
Some recent results in topological graph theory
PC Kainen
Graphs and Combinatorics: Proceedings of the Capital Conference on Graph …, 2006
562006
A lower bound for crossing numbers of graphs with applications to Kn, Kp, q, and Q (d)
PC Kainen
Journal of Combinatorial Theory, Series B 12 (3), 287-298, 1972
561972
Utilizing geometric anomalies of high dimension: When complexity makes computation easier
PC Kainen
Computer Intensive Methods in Control and Signal Processing: The Curse of …, 1997
551997
An integral upper bound for neural network approximation
PC Kainen, V Kůrková
Neural Computation 21 (10), 2970-2989, 2009
492009
Geometry and topology of continuous best and near best approximations
PC Kainen, V Kůrková, A Vogt
Journal of Approximation Theory 105 (2), 252-262, 2000
392000
Weak adjoint functors
PC Kainen
Mathematische Zeitschrift 122, 1-9, 1971
341971
A Sobolev-type upper bound for rates of approximation by linear combinations of Heaviside plane waves
PC Kainen, V Kůrková, A Vogt
Journal of Approximation Theory 147 (1), 1-10, 2007
332007
Minimization of error functionals over variable-basis functions
PC Kainen, V Kurková, M Sanguineti
SIAM Journal on Optimization 14 (3), 732-742, 2004
322004
Best approximation by Heaviside perceptron networks
P Kainen, V Kůrková, A Vogt
Neural Networks 13 (7), 695-697, 2000
312000
The system can't perform the operation now. Try again later.
Articles 1–20