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Tensor network based integration methods

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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2024, Tutors: Stefano Carignano, Joan Soto Riera

# metadata.dc.description.abstract[].value
In this work we overview the Tensor Train Cross decomposition of large tensors and its applicability to high-dimensional integration. Furthermore, two different algorithms for building this decomposition are showcased and compared against a Monte Carlo method, both outperforming it in terms of resource efficiency. A python package is also presented, containing these two algorithms along other tools to leverage the power of the framework in a comprehensive and easy to use manner

# metadata.dc.title[].value
Tensor network based integration methods