Results 11 to 20 of about 2,924,633 (320)
Nonlinear approximation via compositions [PDF]
Neural Networks, 2019 Given a function dictionary $\cal D$ and an approximation budget $N\in\mathbb{N}^+$, nonlinear approximation seeks the linear combination of the best $N$ terms $\{T_n\}_{1\le n\le N}\subseteq{\cal D}$ to approximate a given function $f$ with the minimum approximation error\[\varepsilon_{L,f}:=\min_{\{g_n\}\subseteq{\mathbb{R}},\{T_n\}\subseteq{\cal D}}\
Zuowei Shen, Haizhao Yang, Shijun Zhang
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Optimal Stable Nonlinear Approximation [PDF]
Foundations of Computational Mathematics, 2021 While it is well known that nonlinear methods of approximation can often perform dramatically better than linear methods, there are still questions on how to measure the optimal performance possible for such methods. This paper studies nonlinear methods of approximation that are compatible with numerical implementation in that they are required to be ...
Cohen, Albert +3 more
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Nonlinear Approximations in Cryptanalysis Revisited
IACR Transactions on Symmetric Cryptology, 2018 This work studies deterministic and non-deterministic nonlinear approximations for cryptanalysis of block ciphers and cryptographic permutations and embeds it into the well-understood framework of linear cryptanalysis.
Christof Beierle +2 more
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Multidimensional Approximation of Nonlinear Dynamical Systems [PDF]
Journal of Computational and Nonlinear Dynamics, 2019 A key task in the field of modeling and analyzing nonlinear dynamical systems is the recovery of unknown governing equations from measurement data only. There is a wide range of application areas for this important instance of system identification, ranging from industrial engineering and acoustic signal processing to stock market models.
Jens Eisert +4 more
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Weighted Thresholding and Nonlinear Approximation
, 2017 22 pages, 3 ...
Ottosen, Emil Solsbæk, Nielsen, Morten
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Nonlinear approximation with nonstationary Gabor frames [PDF]
Advances in Computational Mathematics, 2017 We consider sparseness properties of adaptive time-frequency representations obtained using nonstationary Gabor frames (NSGFs). NSGFs generalize classical Gabor frames by allowing for adaptivity in either time or frequency. It is known that the concept of painless nonorthogonal expansions generalizes to the nonstationary case, providing perfect ...
Emil Solsbæk Ottosen, Morten Nielsen
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Journal of Mathematical Analysis and Applications, 1972 H. L. Loeb, R. B. Barrar
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On nonlinear uniform approximation
Journal of Approximation Theory, 1977 H.W McLaughlin, M.J Gillotte
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Nonlinear approximation spaces for inverse problems [PDF]
Analysis and Applications, 2022 This paper is concerned with the ubiquitous inverse problem of recovering an unknown function u from finitely many measurements possibly affected by noise. In recent years, inversion methods based on linear approximation spaces were introduced in [MPPY15,
A. Cohen +3 more
semanticscholar +1 more source
On the Approximation of Moments for Nonlinear Systems [PDF]
IEEE Transactions on Automatic Control, 2021 Model reduction by moment-matching relies upon the availability of the so-called moment . If the system is nonlinear, the computation of moments depends on an underlying specific invariance equation, which can be difficult or impossible to solve. This article presents four technical contributions related to the theory of moment matching: first, we ...
Nicolas Faedo +3 more
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