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Guergana Petrova
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Journal Articles
- 2024
- [j20]Peter Binev, Andrea Bonito, Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore, Guergana Petrova
:
Solving PDEs with Incomplete Information. SIAM J. Numer. Anal. 62(3): 1278-1312 (2024) - 2023
- [j19]Guergana Petrova, Przemyslaw Wojtaszczyk:
Limitations on approximation by deep and shallow neural networks. J. Mach. Learn. Res. 24: 353:1-353:38 (2023) - [j18]Ingrid Daubechies, Ronald A. DeVore, Nadav Dym, Shira Faigenbaum-Golovin, Shahar Z. Kovalsky, Kung-Ching Lin, Josiah Park
Neural Network Approximation of Refinable Functions. IEEE Trans. Inf. Theory 69(1): 482-495 (2023) - 2022
- [j17]Albert Cohen, Ronald A. DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk:
Optimal Stable Nonlinear Approximation. Found. Comput. Math. 22(3): 607-648 (2022) - 2021
- [j16]Ronald A. DeVore, Boris Hanin, Guergana Petrova:
Neural network approximation. Acta Numer. 30: 327-444 (2021) - 2017
- [j15]Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk:
Data Assimilation in Reduced Modeling. SIAM/ASA J. Uncertain. Quantification 5(1): 1-29 (2017) - [j14]Andrea Bonito, Albert Cohen, Ronald A. DeVore, Guergana Petrova, Gerrit Welper:
Diffusion Coefficients Estimation for Elliptic Partial Differential Equations. SIAM J. Math. Anal. 49(2): 1570-1592 (2017) - 2015
- [j13]Hao Nguyen, Guergana Petrova:
Extended Gaussian type cubatures for the ball. J. Comput. Appl. Math. 290: 209-223 (2015) - 2013
- [j12]Ronald A. DeVore, Guergana Petrova, Matthew Hielsberg, Luke Owens, Billy Clack, Alok Sood:
Processing Terrain Point Cloud Data. SIAM J. Imaging Sci. 6(1): 1-31 (2013) - 2011
- [j11]Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk:
Convergence Rates for Greedy Algorithms in Reduced Basis Methods. SIAM J. Math. Anal. 43(3): 1457-1472 (2011) - 2010
- [j10]Borislav Bojanov, Guergana Petrova:
Quadrature formula for computed tomography. J. Approx. Theory 162(10): 1788-1792 (2010) - 2009
- [j9]Borislav Bojanov, Guergana Petrova:
Quadrature formulas for Fourier coefficients. J. Comput. Appl. Math. 231(1): 378-391 (2009) - [j8]Alexander Kurganov
Central-Upwind Schemes for Two-Layer Shallow Water Equations. SIAM J. Sci. Comput. 31(3): 1742-1773 (2009) - 2007
- [j7]Alexander Kurganov
Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws. SIAM J. Sci. Comput. 29(6): 2381-2401 (2007) - 2006
- [j6]Alina Chertock
Finite-Volume-Particle Methods for Models of Transport of Pollutant in Shallow Water. J. Sci. Comput. 27(1-3): 189-199 (2006) - [j5]Alexander Kurganov
Adaptive Central-Upwind Schemes for Hamilton-Jacobi Equations with Nonconvex Hamiltonians. J. Sci. Comput. 27(1-3): 323-333 (2006) - 2003
- [j4]Ronald A. DeVore, Guergana Petrova, Vladimir N. Temlyakov:
Best Basis Selection for Approximation in Lp. Found. Comput. Math. 3(2): 161-185 (2003) - 2001
- [j3]Alexander Kurganov
A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems. Numerische Mathematik 88(4): 683-729 (2001) - [j2]Alexander Kurganov
Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton-Jacobi Equations. SIAM J. Sci. Comput. 23(3): 707-740 (2001) - 1998
- [j1]Borislav Bojanov, Guergana Petrova:
Numerical integration over a disc. A new Gaussian quadrature formula. Numerische Mathematik 80(1): 39-59 (1998)
Informal and Other Publications
- 2024
- [i13]Andrea Bonito, Ronald A. DeVore, Guergana Petrova, Jonathan W. Siegel:
Convergence and error control of consistent PINNs for elliptic PDEs. CoRR abs/2406.09217 (2024) - [i12]Ronald A. DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk:
A note on best n-term approximation for generalized Wiener classes. CoRR abs/2406.10761 (2024) - 2023
- [i11]Peter Binev, Andrea Bonito, Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore, Guergana Petrova:
Solving PDEs with Incomplete Information. CoRR abs/2301.05540 (2023) - [i10]Guergana Petrova, Przemyslaw Wojtaszczyk:
Neural networks: deep, shallow, or in between? CoRR abs/2310.07190 (2023) - 2022
- [i9]Guergana Petrova, Przemyslaw Wojtaszczyk:
On the entropy numbers and the Kolmogorov widths. CoRR abs/2203.00605 (2022) - [i8]Peter Binev, Andrea Bonito, Ronald A. DeVore, Guergana Petrova:
Optimal Learning. CoRR abs/2203.15994 (2022) - [i7]Guergana Petrova, Przemyslaw Wojtaszczyk:
Limitations on approximation by deep and shallow neural networks. CoRR abs/2212.02223 (2022) - 2021
- [i6]Ingrid Daubechies, Ronald A. DeVore, Nadav Dym, Shira Faigenbaum-Golovin, Shahar Z. Kovalsky
Neural Network Approximation of Refinable Functions. CoRR abs/2107.13191 (2021) - [i5]Guergana Petrova, Przemyslaw Wojtaszczyk:
Lipschitz widths. CoRR abs/2111.01341 (2021) - 2020
- [i4]Andrea Bonito, Albert Cohen, Ronald A. DeVore, Diane Guignard, Peter Jantsch, Guergana Petrova:
Nonlinear Methods for Model Reduction. CoRR abs/2005.02565 (2020) - [i3]Albert Cohen, Ronald A. DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk:
Optimal Stable Nonlinear Approximation. CoRR abs/2009.09907 (2020) - [i2]Ronald A. DeVore, Boris Hanin, Guergana Petrova:
Neural Network Approximation. CoRR abs/2012.14501 (2020) - 2019
- [i1]Ingrid Daubechies, Ronald A. DeVore, Simon Foucart, Boris Hanin, Guergana Petrova:
Nonlinear Approximation and (Deep) ReLU Networks. CoRR abs/1905.02199 (2019)
Coauthor Index
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