In this paper, we make use of the topological invariants of 2D images for an accelerated training and an improved recognition ability of a deep learning neural network applied to digital image objects. For our test images, we generate the associated simplicial complexes and from them we compute the Betti numbers which for a 2D object are the number of connected components and the number of holes. These information are used for training the network according to the corresponding Betti number. Experiments on the MNIST databases are presented in support of the proposed method.
CITATION STYLE
Onchis, D. M., Istin, C., & Real, P. (2019). Refined Deep Learning for Digital Objects Recognition via Betti Invariants. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11678 LNCS, pp. 613–621). Springer Verlag. https://doi.org/10.1007/978-3-030-29888-3_50
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