Georgetown Lab for Visual Math

Here is a list of recent publications.

Paul C. Kainen

On the Ehresmann Vanbremeersch Theory and Mathematical Biology Paul C. Kainen, Axiomathes (2012) 19(3):225-244.

Dependence of Computational Models on Input Dimension: Tractability of Approximation and Optimization Tasks PCK, Vera Kurkova, Marcello Sanguineti, IEEE Transactions on Information Theory. (2012) 58:1203-1214

Integral combinations of Heavisides, PCK, Vera Kurkova, Andrew Vogt, Mathematische Nachrichten 283.6 (2010), pp. 854-878,

An integral upper bound for neural network approximation PCK, Vera Kurkova, Neural Computation 08/2009; 21(10):2970-89.

Approximating Multivariable Functions by Feedforward Neural Nets PCK, Vera Kurkova, and Marcello Sanguineti, Chap. 5 in M. Bianchini et al. (Eds.): Handbook on Neural Information Processing, ISRl 49, pp. 143¨C181, Springer-Verlag, Berlin, 2013. DOI: 10.1007/978-3-642-36657-4_5

Bochner Integrals and Neural Networks PCK and Andrew Vogt, Chapter 6 in M. Bianchini et al. (Eds.): Handbook on Neural Information Processing, ISRl 49, pp. 183¨C214. Springer-Verlag, Berlin, 2013. DOI: 10.1007/978-3-642-36657-4_6

Complexity of products of even cycles PCK, Bull. Inst. Combin. Appl. 62 (2011), 95¨C102.

Outerplanar crossing numbers of planar graphs PCK Bull. Inst. Combin. Appl. 61 (2011), 69¨C76.

Graph cycles and diagram commutativity PCK, Diagrammes, Supplement aux vol 67--68, (2012), Liber Amicorum en l'honeur de Madame A. C. Ehresmann, pp. 177--237, Paris, Edite par L. Coppey, F. Foltz, R. Guitart, C. Henry, C. Lair.

Cycle construction and geodesic cycles with application to the hypercube PCK, In submitted for publication.