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ORCIDRonald A. DeVore
Person information
- affiliation: University of South Carolina, Department of Mathematics, Columbia, SC, USA
- award: Humboldt Prize
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2020 – today
- 2024
[j38]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)- [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
- [j37]Ingrid Daubechies, Ronald A. DeVore, Nadav Dym, Shira Faigenbaum-Golovin, Shahar Z. Kovalsky, Kung-Ching Lin, Josiah Park, Guergana Petrova, Barak Sober:
Neural Network Approximation of Refinable Functions. IEEE Trans. Inf. Theory 69(1): 482-495 (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]Ronald A. DeVore, Robert D. Nowak, Rahul Parhi, Jonathan W. Siegel:
Weighted variation spaces and approximation by shallow ReLU networks. CoRR abs/2307.15772 (2023) - 2022
- [j36]Albert Cohen, Ronald A. DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk:
Optimal Stable Nonlinear Approximation. Found. Comput. Math. 22(3): 607-648 (2022) - [i9]Peter Binev, Andrea Bonito, Ronald A. DeVore, Guergana Petrova:
Optimal Learning. CoRR abs/2203.15994 (2022) - 2021
- [j35]Ronald A. DeVore, Boris Hanin, Guergana Petrova:
Neural network approximation. Acta Numer. 30: 327-444 (2021) - [i8]Ingrid Daubechies, Ronald A. DeVore, Nadav Dym, Shira Faigenbaum-Golovin, Shahar Z. Kovalsky, Kung-Ching Lin, Josiah Park, Guergana Petrova, Barak Sober:
Neural Network Approximation of Refinable Functions. CoRR abs/2107.13191 (2021) - 2020
- [j34]Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore, Jalal Fadili, Olga Mula, James A. Nichols:
Optimal Reduced Model Algorithms for Data-Based State Estimation. SIAM J. Numer. Anal. 58(6): 3355-3381 (2020) - [i7]Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore:
State Estimation - The Role of Reduced Models. CoRR abs/2002.00220 (2020) - [i6]Andrea Bonito, Albert Cohen, Ronald A. DeVore, Diane Guignard, Peter Jantsch, Guergana Petrova:
Nonlinear Methods for Model Reduction. CoRR abs/2005.02565 (2020) - [i5]Albert Cohen, Ronald A. DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk:
Optimal Stable Nonlinear Approximation. CoRR abs/2009.09907 (2020) - [i4]Ronald A. DeVore, Boris Hanin, Guergana Petrova:
Neural Network Approximation. CoRR abs/2012.14501 (2020)
2010 – 2019
- 2019
- [i3]Ingrid Daubechies, Ronald A. DeVore, Simon Foucart, Boris Hanin, Guergana Petrova:
Nonlinear Approximation and (Deep) ReLU Networks. CoRR abs/1905.02199 (2019) - 2017
- [j33]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) - [j32]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) - 2016
- [j31]Ronald A. DeVore, Vladimir N. Temlyakov:
Convex Optimization on Banach Spaces. Found. Comput. Math. 16(2): 369-394 (2016) - [j30]Wolfgang Dahmen, Ronald A. DeVore, Lars Grasedyck, Endre Süli:
Tensor-Sparsity of Solutions to High-Dimensional Elliptic Partial Differential Equations. Found. Comput. Math. 16(4): 813-874 (2016) - 2015
- [j29]Albert Cohen, Ronald A. DeVore:
Approximation of high-dimensional parametric PDEs. Acta Numer. 24: 1-159 (2015) - [i2]Albert Cohen, Ronald A. DeVore:
Kolmogorov widths under holomorphic mappings. CoRR abs/1502.06795 (2015) - [i1]Albert Cohen, Ronald A. DeVore:
Approximation of high-dimensional parametric PDEs. CoRR abs/1502.06797 (2015) - 2013
- [j28]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) - [j27]Andrea Bonito, Ronald A. DeVore, Ricardo H. Nochetto:
Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients. SIAM J. Numer. Anal. 51(6): 3106-3134 (2013) - 2012
- [j26]Albert Cohen, Ronald A. DeVore, Ricardo H. Nochetto:
Convergence Rates of AFEM with H -1 Data. Found. Comput. Math. 12(5): 671-718 (2012) - 2011
- [j25]Alexei A. Belochitski, Peter Binev, Ronald A. DeVore, Michael S. Fox-Rabinovitz, Vladimir M. Krasnopolsky, Philipp Lamby:
Tree approximation of the long wave radiation parameterization in the NCAR CAM global climate model. J. Comput. Appl. Math. 236(4): 447-460 (2011) - [j24]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
- [j23]Albert Cohen, Ronald A. DeVore, Christoph Schwab:
Convergence Rates of Best N-term Galerkin Approximations for a Class of Elliptic sPDEs. Found. Comput. Math. 10(6): 615-646 (2010)
2000 – 2009
- 2008
- [c5]Ingrid Daubechies, Ronald A. DeVore, Massimo Fornasier, C. Sinan Güntürk:
Iteratively Re-weighted Least Squares minimization: Proof of faster than linear rate for sparse recovery. CISS 2008: 26-29 - 2007
- [j22]Ronald A. DeVore:
Deterministic constructions of compressed sensing matrices. J. Complex. 23(4-6): 918-925 (2007) - 2006
- [j21]Ronald A. DeVore, Gerard Kerkyacharian, Dominique Picard, Vladimir N. Temlyakov:
Approximation Methods for Supervised Learning. Found. Comput. Math. 6(1): 3-58 (2006) - [j20]Ingrid Daubechies, Ronald A. DeVore, C. Sinan Güntürk, Vinay A. Vaishampayan:
A/D conversion with imperfect quantizers. IEEE Trans. Inf. Theory 52(3): 874-885 (2006) - 2005
- [j19]Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore, Vladimir N. Temlyakov:
Universal Algorithms for Learning Theory Part I : Piecewise Constant Functions. J. Mach. Learn. Res. 6: 1297-1321 (2005) - 2004
- [j18]Peter Binev, Ronald A. DeVore:
Fast computation in adaptive tree approximation. Numerische Mathematik 97(2): 193-217 (2004) - [j17]Peter Binev, Wolfgang Dahmen, Ronald A. DeVore:
Adaptive Finite Element Methods with convergence rates. Numerische Mathematik 97(2): 219-268 (2004) - [c4]Andrew Kurdila, M. Nechyba, Richard Prazenica, Wolfgang Dahmen, Peter Binev, Ronald A. DeVore, Robert C. Sharpley:
Vision-based control of micro-air-vehicles: progress and problems in estimation. CDC 2004: 1635-1642 - 2003
- [j16]Ronald A. DeVore, Arieh Iserles, Michael J. Todd:
Editorial. Found. Comput. Math. 3(2): 111 (2003) - [j15]Ronald A. DeVore, Guergana Petrova, Vladimir N. Temlyakov:
Best Basis Selection for Approximation in Lp. Found. Comput. Math. 3(2): 161-185 (2003) - [j14]Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore:
Sparse Evaluation of Compositions of Functions Using Multiscale Expansions. SIAM J. Math. Anal. 35(2): 279-303 (2003) - [j13]Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore:
Adaptive Wavelet Schemes for Nonlinear Variational Problems. SIAM J. Numer. Anal. 41(5): 1785-1823 (2003) - 2002
- [j12]Richard G. Baraniuk, Ronald A. DeVore, George Kyriazis, X. M. Yu:
Near Best Tree Approximation. Adv. Comput. Math. 16(4): 357-373 (2002) - [j11]Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore:
Adaptive Wavelet Methods II - Beyond the Elliptic Case. Found. Comput. Math. 2(3): 203-245 (2002) - [c3]Ronald A. DeVore, Alexander Petukhov, Robert C. Sharpley:
Motion estimation with the redundant wavelet transform. DCV 2002: 53-59 - 2001
- [j10]Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore:
Adaptive wavelet methods for elliptic operator equations: Convergence rates. Math. Comput. 70(233): 27-75 (2001)
1990 – 1999
- 1998
- [j9]Antonin Chambolle, Ronald A. DeVore, Nam-Yong Lee, Bradley J. Lucier:
Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage. IEEE Trans. Image Process. 7(3): 319-335 (1998) - [j8]David L. Donoho, Martin Vetterli, Ronald A. DeVore, Ingrid Daubechies:
Data Compression and Harmonic Analysis. IEEE Trans. Inf. Theory 44(6): 2435-2476 (1998) - 1997
- [j7]Ronald A. DeVore, Vladimir N. Temlyakov:
Nonlinear Approximation in Finite-Dimensional Spaces. J. Complex. 13(4): 489-508 (1997) - 1996
- [j6]Ronald A. DeVore, Vladimir N. Temlyakov:
Some remarks on greedy algorithms. Adv. Comput. Math. 5(1): 173-187 (1996) - 1994
- [j5]Bradley J. Lucier, Maria Kallergi, Wei Qian, Ronald A. DeVore, Robert A. Clark, Edward B. Saff, Laurence P. Clarke:
Wavelet compression and segmentation of digital mammograms. J. Digit. Imaging 7(1): 27-38 (1994) - [c2]Ronald A. DeVore, Bradley J. Lucier:
Classifying the Smoothness of Images: Theory and Applications to Wavelet Image Processing. ICIP (2) 1994: 6-10 - 1993
- [b1]Ronald A. DeVore, George G. Lorentz:
Constructive Approximation. Grundlehren der mathematischen Wissenschaften 303, Springer 1993, ISBN 978-3-540-50627-0, pp. I-X, 1-449 - [j4]Ronald A. DeVore, George Kyriazis, Dany Leviatan, Vladimir M. Tikhomirov:
Wavelet compression and nonlinear n-widths. Adv. Comput. Math. 1(2): 197-214 (1993) - 1992
- [j3]Ronald A. DeVore, Björn D. Jawerth, Bradley J. Lucier:
Surface compression. Comput. Aided Geom. Des. 9(3): 219-239 (1992) - [j2]Ronald A. DeVore, Björn D. Jawerth, Bradley J. Lucier:
Image compression through wavelet transform coding. IEEE Trans. Inf. Theory 38(2): 719-746 (1992) - 1991
- [c1]Ronald A. DeVore, Björn D. Jawerth, Bradley J. Lucier:
Data Compression Using Wavelets: Errors, Smoothness, and Quantization. Data Compression Conference 1991: 186-195
1980 – 1989
- 1986
- [j1]Ronald A. DeVore, Zheng Yan:
Error analysis for piecewise quadratic curve fitting algorithms. Comput. Aided Geom. Des. 3(3): 205-215 (1986)
Coauthor Index
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