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BEGIN:VEVENT
DTSTART;VALUE=DATE:20240919T111500
DTEND;VALUE=DATE:20240919T111500
UID:16249@agenda.unifr.ch
DESCRIPTION:Multivariate functions of continuous variables arise in countless \nbranches of science. Numerical computations with such functions \ntypically involve a compromise between two contrary desiderata: accurate \nresolution of the functional dependence, versus parsimonious memory \nusage. Recently, two promising strategies have emerged for satisfying \nboth requirements: (i) The quantics representation, which expresses \nfunctions as multi-index tensors, with each index representing one bit \nof a binary encoding of one of the variables; and (ii) tensor cross \ninterpolation (TCI), which, if applicable, yields parsimonious \ninterpolations for multi-index tensors. Here, we present a strategy, \nquantics TCI, which combines the advantages of both schemes. We \nillustrate its potential with an application from condensed matter \nphysics: the computation of Brillouin zone integrals.
SUMMARY:Quantics Tensor Cross Interpolation for High-Resolution Parsimonious Representations of Multivariate Functions
CATEGORIES:Séminaire
LOCATION:PER 08\, 0.51\, Chemin du Musée 3\, 1700 Fribourg
URL;VALUE=URI:https://agenda.unifr.ch/e/fr/16249
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