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We present a general-purpose algorithm to extrapolate a low rank function of two variables from a small domain to a larger one.
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O. Costin and G. V. Dunne, Resurgent extrapolation: rebuilding a function from asymptotic data. painlevé i, Journal of Physics A: Mathematical and Theoretical 52
2019
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K. V. Houcke, F. Werner, T. Ohgoe, N. V. Prokof’ev, and B. V. Svistunov, Diagrammatic monte carlo algorithm for the resonant fermi gas, Physical Review B 99
2019
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M. Maček, P. T. Dumitrescu, C. Bertrand, B. Triggs, O. Parcollet, and X. Waintal, Quantum quasi-monte carlo technique for many-body perturbative expansions, Physical Review Letters 125
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S. Dolgov and D. Savostyanov, Parallel cross interpolation for high-precision calculation of high-dimensional integrals, Computer Physics Communications 246
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2010
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J. Schneider, Error estimates for two-dimensional cross approximation, Journal of Approximation Theory 162
2010
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M. Bebendorf, Adaptive cross approximation of multivariate functions, Constructive Approximation 34
2011
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K. V. Houcke, F. Werner, E. Kozik, N. Prokof’ev, B. Svistunov, M. J. H. Ku, A. T. Sommer, L. W. Cheuk, A. Schirotzek, and M. W. Zwierlein, Feynman diagrams versus fermi-gas feynman emulator, Nature Physics 8
2012
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2014
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R. E. V. Profumo, C. Groth, L. Messio, O. Parcollet, and X. Waintal, Quantum monte carlo for correlated out-of-equilibrium nanoelectronic devices, Phys. Rev. B 91
2015
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R. Rossi, N. Prokof’ev, B. Svistunov, K. V. Houcke, and F. Werner, Polynomial complexity despite the fermionic sign, Europhysics Letters 118
2017
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N. K. Kumar and J. Schneider, Literature survey on low rank approximation of matrices, Linear and Multilinear Algebra 65
2017
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2020
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C. Bertrand, D. Bauernfeind, P. T. Dumitrescu, M. Macek, X. Waintal, and O. Parcollet, Quantum quasi monte carlo algorithm for out-of-equilibrium green functions at long times, Physical Review B 103
2021
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Y. Núñez Fernández, M. Jeannin, P. T. Dumitrescu, T. Kloss, J. Kaye, O. Parcollet, and X. Waintal, Learning feynman diagrams with tensor trains, Phys. Rev. X 12
2022
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2023
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2023
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2023
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2023
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2023
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2023
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