Paul C. Kainen
According to our database^{1},
Paul C. Kainen
authored at least 30 papers
between 1978 and 2018.
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Bibliography
2018
Graph Bases and Diagram Commutativity.
Graphs and Combinatorics, 2018
Robust cycle bases do not exist for if.
Discrete Applied Mathematics, 2018
2015
Cycle construction and geodesic cycles with application to the hypercube.
Ars Math. Contemp., 2015
2014
Comparing fixed and variablewidth Gaussian networks.
Neural Networks, 2014
2013
Bochner Integrals and Neural Networks.
Proceedings of the Handbook on Neural Information Processing, 2013
Approximating Multivariable Functions by Feedforward Neural Nets.
Proceedings of the Handbook on Neural Information Processing, 2013
2012
Dependence of Computational Models on Input Dimension: Tractability of Approximation and Optimization Tasks.
IEEE Trans. Information Theory, 2012
2011
Kernel Networks with Fixed and Variable Widths.
Proceedings of the Adaptive and Natural Computing Algorithms, 2011
2009
An Integral Upper Bound for Neural Network Approximation.
Neural Computation, 2009
Complexity of Gaussianradialbasis networks approximating smooth functions.
J. Complexity, 2009
On Tractability of NeuralNetwork Approximation.
Proceedings of the Adaptive and Natural Computing Algorithms, 9th International Conference, 2009
2008
Estimates of Network Complexity and Integral Representations.
Proceedings of the Artificial Neural Networks, 2008
2007
A Sobolevtype upper bound for rates of approximation by linear combinations of Heaviside plane waves.
Journal of Approximation Theory, 2007
Extension of a theorem of Whitney.
Appl. Math. Lett., 2007
Estimates of Approximation Rates by Gaussian RadialBasis Functions.
Proceedings of the Adaptive and Natural Computing Algorithms, 8th International Conference, 2007
2005
Rates of Minimization of Error Functionals over Boolean VariableBasis Functions.
J. Math. Model. Algorithms, 2005
2004
Minimization of Error Functionals over VariableBasis Functions.
SIAM Journal on Optimization, 2004
Replacing points by compacta in neural network approximation.
J. Franklin Institute, 2004
2003
Best approximation by linear combinations of characteristic functions of halfspaces.
Journal of Approximation Theory, 2003
2002
On robust cycle bases.
Electronic Notes in Discrete Mathematics, 2002
2001
Continuity of Approximation by Neural Networks in Lp Spaces.
Annals OR, 2001
2000
Best approximation by Heaviside perceptron networks.
Neural Networks, 2000
Convex Geometry and Nonlinear Approximation.
IJCNN (1), 2000
1999
Approximation by neural networks is not continuous.
Neurocomputing, 1999
1997
Estimates of the Number of Hidden Units and Variation with Respect to HalfSpaces.
Neural Networks, 1997
1994
Uniqueness of network parametrization and faster learning.
Neural Parallel & Scientific Comp., 1994
Functionally Equivalent Feedforward Neural Networks.
Neural Computation, 1994
1979
The book thickness of a graph.
J. Comb. Theory, Ser. B, 1979
1978
On stable crossing numbers.
Journal of Graph Theory, 1978
On finite superuniversal graphs.
Discrete Mathematics, 1978