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Covering with rectangular pieces.

Iacob, Paul, Marinescu, Daniela, Luca, Cristina (2003)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

Croisements, ordres et ultramétriques

Edwin Diday (1983)

Mathématiques et Sciences Humaines

La représentation visuelle d'une hiérarchie induit un ordre sur les singletons. Si l'on désire représenter la même hiérarchie en tenant compte de contraintes extérieures (ordre des singletons induit par une autre hiérarchie, une partition, un indice de dissimilarité, par exemple) des croisements peuvent apparaître. Il y a un croisement dans la représentation visuelle d'une hiérarchie quand une branche horizontale (associée à un palier) est coupée par une branche verticale associée à un singleton....

Cross-task code reuse in genetic programming applied to visual learning

Wojciech Jaśkowski, Krzysztof Krawiec, Bartosz Wieloch (2014)

International Journal of Applied Mathematics and Computer Science

We propose a method that enables effective code reuse between evolutionary runs that solve a set of related visual learning tasks. We start with introducing a visual learning approach that uses genetic programming individuals to recognize objects. The process of recognition is generative, i.e., requires the learner to restore the shape of the processed object. This method is extended with a code reuse mechanism by introducing a crossbreeding operator that allows importing the genetic material from...

Cubical approximation and computation of homology

William Kalies, Konstantin Mischaikow, Greg Watson (1999)

Banach Center Publications

The purpose of this article is to introduce a method for computing the homology groups of cellular complexes composed of cubes. We will pay attention to issues of storage and efficiency in performing computations on large complexes which will be required in applications to the computation of the Conley index. The algorithm used in the homology computations is based on a local reduction procedure, and we give a subquadratic estimate of its computational complexity. This estimate is rigorous in two...

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