Advanced Stochastic Approaches for Multidimensional Integrals in Neural Networks View Full Text


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Chapter Info

DATE

2021-12-15

AUTHORS

Venelin Todorov , Stefka Fidanova , Ivan Dimov , Stoyan Poryazov , Stoyan Apostolov , Daniel Todorov

ABSTRACT

Todorov, VenelinFidanova, StefkaDimov, IvanPoryazov, StoyanApostolov, StoyanTodorov, DanielA very important problem in the area of neural networks and machine learning is the accurate evaluation of multidimensional integrals. An introduction to the theory of the stochastic approaches with a special choice of optimal generating vectors has been given. A new optimized lattice sequence with a special choice of the optimal generating vector have been applied to compute multidimensional integrals up to 100-dimensions. It is shown that the progress in the area of machine learning is strictly related to the progress in reliable algorithms for multidimensional integration. More... »

PAGES

425-438

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-030-82397-9_22

DOI

http://dx.doi.org/10.1007/978-3-030-82397-9_22

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1143873274


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