FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2969432895> ?p ?o ?g. }

• W2969432895 endingPage "106869" @default.
• W2969432895 startingPage "106869" @default.
• W2969432895 abstract "We propose a parallel version of the cross interpolation algorithm and apply it to calculate high-dimensional integrals motivated by Ising model in quantum physics. In contrast to mainstream approaches, such as Monte Carlo and quasi Monte Carlo, the samples calculated by our algorithm are neither random nor form a regular lattice. Instead we calculate the given function along individual dimensions (modes) and use these values to reconstruct its behaviour in the whole domain. The positions of the calculated univariate fibres are chosen adaptively for the given function. The required evaluations can be executed in parallel along each mode (variable) and over all modes. To demonstrate the efficiency of the proposed method, we apply it to compute high-dimensional Ising susceptibility integrals, arising from asymptotic expansions for the spontaneous magnetisation in two-dimensional Ising model of ferromagnetism. We observe strong superlinear convergence of the proposed method, while the MC and qMC algorithms converge sublinearly. Using multiple precision arithmetic, we also observe exponential convergence of the proposed algorithm. Combining high-order convergence, almost perfect scalability up to hundreds of processes, and the same flexibility as MC and qMC, the proposed algorithm can be a new method of choice for problems involving high-dimensional integration, e.g. in statistics, probability, and quantum physics." @default.
• W2969432895 created "2019-08-29" @default.
• W2969432895 creator A5018717402 @default.
• W2969432895 creator A5077672435 @default.
• W2969432895 date "2020-01-01" @default.
• W2969432895 modified "2023-09-26" @default.
• W2969432895 title "Parallel cross interpolation for high-precision calculation of high-dimensional integrals" @default.
• W2969432895 cites W1584707396 @default.
• W2969432895 cites W1690316246 @default.
• W2969432895 cites W1939142429 @default.
• W2969432895 cites W194074478 @default.
• W2969432895 cites W1954993463 @default.
• W2969432895 cites W1963973528 @default.
• W2969432895 cites W1967538125 @default.
• W2969432895 cites W1968119930 @default.
• W2969432895 cites W1968376936 @default.
• W2969432895 cites W1969552299 @default.
• W2969432895 cites W1969720662 @default.
• W2969432895 cites W1970627157 @default.
• W2969432895 cites W1975720704 @default.
• W2969432895 cites W1977406817 @default.
• W2969432895 cites W1978501336 @default.
• W2969432895 cites W1980906180 @default.
• W2969432895 cites W1988996307 @default.
• W2969432895 cites W1993482030 @default.
• W2969432895 cites W1993814196 @default.
• W2969432895 cites W2000071783 @default.
• W2969432895 cites W2001518794 @default.
• W2969432895 cites W2002630401 @default.
• W2969432895 cites W2003690406 @default.
• W2969432895 cites W2005904620 @default.
• W2969432895 cites W2006973305 @default.
• W2969432895 cites W2009253094 @default.
• W2969432895 cites W2013417994 @default.
• W2969432895 cites W2016527001 @default.
• W2969432895 cites W2019797126 @default.
• W2969432895 cites W2020084487 @default.
• W2969432895 cites W2021604182 @default.
• W2969432895 cites W2023689870 @default.
• W2969432895 cites W2024165284 @default.
• W2969432895 cites W2025485823 @default.
• W2969432895 cites W2036766781 @default.
• W2969432895 cites W2037768897 @default.
• W2969432895 cites W2038198231 @default.
• W2969432895 cites W2041364558 @default.
• W2969432895 cites W2051203581 @default.
• W2969432895 cites W2052271668 @default.
• W2969432895 cites W2059875127 @default.
• W2969432895 cites W2069044218 @default.
• W2969432895 cites W2070940454 @default.
• W2969432895 cites W2074256314 @default.
• W2969432895 cites W2074426935 @default.
• W2969432895 cites W2076065338 @default.
• W2969432895 cites W2076724857 @default.
• W2969432895 cites W2078095679 @default.
• W2969432895 cites W2078394884 @default.
• W2969432895 cites W2078465266 @default.
• W2969432895 cites W2079884250 @default.
• W2969432895 cites W2081023708 @default.
• W2969432895 cites W2088025933 @default.
• W2969432895 cites W2088758181 @default.
• W2969432895 cites W2091476331 @default.
• W2969432895 cites W2102696587 @default.
• W2969432895 cites W2109585078 @default.
• W2969432895 cites W2117730583 @default.
• W2969432895 cites W2119233169 @default.
• W2969432895 cites W2126980197 @default.
• W2969432895 cites W2133854101 @default.
• W2969432895 cites W2134793668 @default.
• W2969432895 cites W2139182243 @default.
• W2969432895 cites W2140262981 @default.
• W2969432895 cites W2140269643 @default.
• W2969432895 cites W2148243684 @default.
• W2969432895 cites W2149498546 @default.
• W2969432895 cites W2154588268 @default.
• W2969432895 cites W2159565862 @default.
• W2969432895 cites W2167014553 @default.
• W2969432895 cites W2171681164 @default.
• W2969432895 cites W2515665519 @default.
• W2969432895 cites W2567832902 @default.
• W2969432895 cites W2760223394 @default.
• W2969432895 cites W2945150561 @default.
• W2969432895 cites W2963450965 @default.
• W2969432895 cites W2964218952 @default.
• W2969432895 cites W2964311702 @default.
• W2969432895 cites W2982295692 @default.
• W2969432895 cites W3102723444 @default.
• W2969432895 cites W4232315234 @default.
• W2969432895 doi "https://doi.org/10.1016/j.cpc.2019.106869" @default.
• W2969432895 hasPublicationYear "2020" @default.
• W2969432895 type Work @default.
• W2969432895 sameAs 2969432895 @default.
• W2969432895 citedByCount "15" @default.
• W2969432895 countsByYear W29694328952020 @default.
• W2969432895 countsByYear W29694328952021 @default.
• W2969432895 countsByYear W29694328952022 @default.
• W2969432895 countsByYear W29694328952023 @default.
• W2969432895 crossrefType "journal-article" @default.

• next