Paul C. Kainen

Publication Activity (10 Years)

Years Active: 1978-2023
Publications (10 Years): 11

Top Topics

Linear Combination

Mathematical Problem Solving

Basis Functions

Correlation Function

Top Venues

Art Discret. Appl. Math.

J. Approx. Theory

Publications

Paul C. Kainen
Construction numbers: How to build a graph? CoRR (2023)
Paul C. Kainen, Andrew Vogt
Bochner integrals and neural networks. CoRR (2023)
Paul C. Kainen
Canonical Sphere Bases for Simplicial and Cubical Complexes. CoRR (2023)
Paul C. Kainen
Lunaport: Math, Mechanics & Transport. CoRR (2021)
Richard H. Hammack, Paul C. Kainen
A New View of Hypercube Genus. Am. Math. Mon. 128 (4) (2021)
Paul C. Kainen, Vera Kurková, Andrew Vogt
Approximative compactness of linear combinations of characteristic functions. J. Approx. Theory 257 (2020)
Paul C. Kainen
On 2-skeleta of hypercubes. Art Discret. Appl. Math. 3 (2) (2020)
Richard H. Hammack, Paul C. Kainen
Sphere decompositions of hypercubes. Art Discret. Appl. Math. 3 (2) (2020)
Richard H. Hammack, Paul C. Kainen
Robust cycle bases do not exist for if. Discret. Appl. Math. 235 (2018)
Richard H. Hammack, Paul C. Kainen
Graph Bases and Diagram Commutativity. Graphs Comb. 34 (4) (2018)
Paul C. Kainen
Cycle construction and geodesic cycles with application to the hypercube. Ars Math. Contemp. 9 (1) (2015)
Vera Kurková, Paul C. Kainen
Comparing fixed and variable-width Gaussian networks. Neural Networks 57 (2014)
Paul C. Kainen, Vera Kurková, Marcello Sanguineti
Dependence of Computational Models on Input Dimension: Tractability of Approximation and Optimization Tasks. IEEE Trans. Inf. Theory 58 (2) (2012)
Vera Kurková, Paul C. Kainen
Kernel Networks with Fixed and Variable Widths. ICANNGA (1) (2011)
Paul C. Kainen, Vera Kurková
An Integral Upper Bound for Neural Network Approximation. Neural Comput. 21 (10) (2009)
Paul C. Kainen, Vera Kurková, Marcello Sanguineti
Complexity of Gaussian-radial-basis networks approximating smooth functions. J. Complex. 25 (1) (2009)
Paul C. Kainen, Vera Kurková, Marcello Sanguineti
On Tractability of Neural-Network Approximation. ICANNGA (2009)
Paul C. Kainen, Vera Kurková
Estimates of Network Complexity and Integral Representations. ICANN (1) (2008)
Paul C. Kainen, Vera Kurková, Marcello Sanguineti
Estimates of Approximation Rates by Gaussian Radial-Basis Functions. ICANNGA (2) (2007)
Paul C. Kainen, Shannon Overbay
Extension of a theorem of Whitney. Appl. Math. Lett. 20 (7) (2007)
Paul C. Kainen, Vera Kurková, Andrew Vogt
A Sobolev-type upper bound for rates of approximation by linear combinations of Heaviside plane waves. J. Approx. Theory 147 (1) (2007)
Paul C. Kainen, Vera Kurková, Marcello Sanguineti
Rates of Minimization of Error Functionals over Boolean Variable-Basis Functions. J. Math. Model. Algorithms 4 (4) (2005)
Paul C. Kainen
Replacing points by compacta in neural network approximation. J. Frankl. Inst. 341 (4) (2004)
Paul C. Kainen, Vera Kurková, Marcello Sanguineti
Minimization of Error Functionals over Variable-Basis Functions. SIAM J. Optim. 14 (3) (2004)
Paul C. Kainen, Vera Kurková, Andrew Vogt
Best approximation by linear combinations of characteristic functions of half-spaces. J. Approx. Theory 122 (2) (2003)
Paul C. Kainen
On robust cycle bases. Electron. Notes Discret. Math. 11 (2002)
Paul C. Kainen, Vera Kurková, Andrew Vogt
Continuity of Approximation by Neural Networks in Lp Spaces. Ann. Oper. Res. 101 (1-4) (2001)
Paul C. Kainen, Vera Kurková, Andrew Vogt
Best approximation by Heaviside perceptron networks. Neural Networks 13 (7) (2000)
Paul C. Kainen
Convex Geometry and Nonlinear Approximation. IJCNN (1) (2000)
Paul C. Kainen, Vera Kurková, Andrew Vogt
Approximation by neural networks is not continuous. Neurocomputing 29 (1-3) (1999)
Vera Kurková, Paul C. Kainen, Vladik Kreinovich
Estimates of the Number of Hidden Units and Variation with Respect to Half-Spaces. Neural Networks 10 (6) (1997)
Vera Kurková, Paul C. Kainen
A geometric method to obtain error-correcting classification by neural networks with fewer hidden units. ICNN (1996)
Vera Kurková, Paul C. Kainen
Functionally Equivalent Feedforward Neural Networks. Neural Comput. 6 (3) (1994)
Paul C. Kainen, Vera Kurková, Vladik Kreinovich, Ongard Sirisaengtaksin
Uniqueness of network parametrization and faster learning. Neural Parallel Sci. Comput. 2 (4) (1994)
Frank Bernhart, Paul C. Kainen
The book thickness of a graph. J. Comb. Theory, Ser. B 27 (3) (1979)
Paul C. Kainen, Arthur T. White
On stable crossing numbers. J. Graph Theory 2 (3) (1978)
Paul Erdös, Stephen H. Hechler, Paul C. Kainen
On finite superuniversal graphs. Discret. Math. 24 (3) (1978)