Edit Profile (opens in new tab) Volkmer, Toni Co-Author Distance Author ID: volkmer.toni Published as: Volkmer, Toni Documents Indexed: 14 Publications since 2014, including 1 Additional arXiv Preprint Co-Authors: 13 Co-Authors with 14 Joint Publications 260 Co-Co-Authors all top 5 Co-Authors 0 single-authored 10 Kämmerer, Lutz 6 Potts, Daniel 3 Iwen, Mark A. 2 Gross, Craig 2 Stoll, Martin 2 Ullrich, Tino 1 Alfke, Dominik 1 Bergermann, Kai 1 Byrenheid, Glenn 1 Choi, Bosu 1 Krahmer, Felix 1 Kunis, Stefan 1 Melzer, Ines all top 5 Serials 2 Numerische Mathematik 2 Journal of Complexity 2 Applied and Computational Harmonic Analysis 1 Journal of Approximation Theory 1 Constructive Approximation 1 Numerical Algorithms 1 Advances in Computational Mathematics 1 SIAM Journal on Mathematics of Data Science 1 Sampling Theory, Signal Processing, and Data Analysis all top 5 Fields 14 Numerical analysis (65-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 6 Computer science (68-XX) 3 Statistics (62-XX) 2 Combinatorics (05-XX) 2 Information and communication theory, circuits (94-XX) 1 Approximations and expansions (41-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 12 Publications have been cited 132 times in 66 Documents Cited by ▼ Year ▼ Approximation of multivariate periodic functions by trigonometric polynomials based on rank-1 lattice sampling. Zbl 1320.65204 Kämmerer, Lutz; Potts, Daniel; Volkmer, Toni 32 2015 Tight error bounds for rank-1 lattice sampling in spaces of hybrid mixed smoothness. Zbl 1422.65467 Byrenheid, Glenn; Kämmerer, Lutz; Ullrich, Tino; Volkmer, Toni 22 2017 Worst-case recovery guarantees for least squares approximation using random samples. Zbl 1484.41004 Kämmerer, Lutz; Ullrich, Tino; Volkmer, Toni 20 2021 Sparse high-dimensional FFT based on rank-1 lattice sampling. Zbl 1388.94029 Potts, Daniel; Volkmer, Toni 19 2016 High-dimensional sparse FFT based on sampling along multiple rank-1 lattices. Zbl 1467.65120 Kämmerer, Lutz; Potts, Daniel; Volkmer, Toni 13 2021 Approximation of multivariate periodic functions by trigonometric polynomials based on sampling along rank-1 lattice with generating vector of Korobov form. Zbl 1318.42006 Kämmerer, Lutz; Potts, Daniel; Volkmer, Toni 8 2015 Approximation of multivariate periodic functions based on sampling along multiple rank-1 lattices. Zbl 1455.65240 Kämmerer, Lutz; Volkmer, Toni 8 2019 Sparse harmonic transforms. II: Best \(s\)-term approximation guarantees for bounded orthonormal product bases in sublinear-time. Zbl 1483.65030 Choi, Bosu; Iwen, Mark; Volkmer, Toni 4 2021 A sample efficient sparse FFT for arbitrary frequency candidate sets in high dimensions. Zbl 1491.65177 Kämmerer, Lutz; Krahmer, Felix; Volkmer, Toni 2 2022 Computational methods for the Fourier analysis of sparse high-dimensional functions. Zbl 1319.65130 Kämmerer, Lutz; Kunis, Stefan; Melzer, Ines; Potts, Daniel; Volkmer, Toni 2 2014 Sparse Fourier transforms on rank-1 lattices for the rapid and low-memory approximation of functions of many variables. Zbl 1478.65143 Gross, Craig; Iwen, Mark; Kämmerer, Lutz; Volkmer, Toni 1 2022 Semi-supervised learning for aggregated multilayer graphs using diffuse interface methods and fast matrix-vector products. Zbl 07394790 Bergermann, Kai; Stoll, Martin; Volkmer, Toni 1 2021 A sample efficient sparse FFT for arbitrary frequency candidate sets in high dimensions. Zbl 1491.65177 Kämmerer, Lutz; Krahmer, Felix; Volkmer, Toni 2 2022 Sparse Fourier transforms on rank-1 lattices for the rapid and low-memory approximation of functions of many variables. Zbl 1478.65143 Gross, Craig; Iwen, Mark; Kämmerer, Lutz; Volkmer, Toni 1 2022 Worst-case recovery guarantees for least squares approximation using random samples. Zbl 1484.41004 Kämmerer, Lutz; Ullrich, Tino; Volkmer, Toni 20 2021 High-dimensional sparse FFT based on sampling along multiple rank-1 lattices. Zbl 1467.65120 Kämmerer, Lutz; Potts, Daniel; Volkmer, Toni 13 2021 Sparse harmonic transforms. II: Best \(s\)-term approximation guarantees for bounded orthonormal product bases in sublinear-time. Zbl 1483.65030 Choi, Bosu; Iwen, Mark; Volkmer, Toni 4 2021 Semi-supervised learning for aggregated multilayer graphs using diffuse interface methods and fast matrix-vector products. Zbl 07394790 Bergermann, Kai; Stoll, Martin; Volkmer, Toni 1 2021 Approximation of multivariate periodic functions based on sampling along multiple rank-1 lattices. Zbl 1455.65240 Kämmerer, Lutz; Volkmer, Toni 8 2019 Tight error bounds for rank-1 lattice sampling in spaces of hybrid mixed smoothness. Zbl 1422.65467 Byrenheid, Glenn; Kämmerer, Lutz; Ullrich, Tino; Volkmer, Toni 22 2017 Sparse high-dimensional FFT based on rank-1 lattice sampling. Zbl 1388.94029 Potts, Daniel; Volkmer, Toni 19 2016 Approximation of multivariate periodic functions by trigonometric polynomials based on rank-1 lattice sampling. Zbl 1320.65204 Kämmerer, Lutz; Potts, Daniel; Volkmer, Toni 32 2015 Approximation of multivariate periodic functions by trigonometric polynomials based on sampling along rank-1 lattice with generating vector of Korobov form. Zbl 1318.42006 Kämmerer, Lutz; Potts, Daniel; Volkmer, Toni 8 2015 Computational methods for the Fourier analysis of sparse high-dimensional functions. Zbl 1319.65130 Kämmerer, Lutz; Kunis, Stefan; Melzer, Ines; Potts, Daniel; Volkmer, Toni 2 2014 all cited Publications top 5 cited Publications all top 5 Cited by 87 Authors 14 Kämmerer, Lutz 14 Potts, Daniel 10 Volkmer, Toni 9 Ullrich, Tino 6 Nuyens, Dirk 5 Bartel, Felix 5 Kuo, Frances Y. 4 Iwen, Mark A. 3 Choi, Bosu 3 Cools, Ronald 3 Krahmer, Felix 3 Sloan, Ian Hugh 3 Wang, Heping 2 Bergmann, Ronny 2 Byrenheid, Glenn 2 Gross, Craig 2 Kashin, Boris Sergeevich 2 Krieg, David 2 Merkert, Dennis 2 Nasdala, Robert 2 Nobile, Fabio 2 Patel, Dhiraj 2 Schmischke, Michael 2 Sivananthan, Sivalingam 2 Suryanarayana, Gowri 2 Suzuki, Yuya 2 Taubert, Fabian 2 Temlyakov, Vladimir Nikolaevich 2 Weimar, Markus 2 Xu, Guiqiao 1 Bochmann, Maximilian 1 Chen, Liang 1 Chimmalgi, Shrinivas 1 Christlieb, Andrew J. 1 Dolbeault, Matthieu 1 Du, Wei-Shih 1 Erb, Wolfgang 1 Frederick, Christina 1 Fuchs, Tim 1 Geng, Jiaxin 1 Griebel, Michael 1 Gross, David Jonathan 1 Hamaekers, Jan 1 Hielscher, Ralf 1 Hinrichs, Aicke 1 Hübner, Janina 1 Jahn, Thomas 1 Jiang, Ying 1 Kaarnioja, Vesa 1 Kazashi, Yoshihito 1 Konyagin, Sergeĭ Vladimirovich 1 Kosov, Egor D. 1 Kostić, Marko 1 Kueng, Richard 1 Limonova, Irina V. 1 Lippert, Laura 1 Liu, Zehong 1 Lu, Wanting 1 Migliorati, Giovanni 1 Mixon, Dustin G. 1 Moeller, Moritz 1 Nagel, Nicolas 1 Nasdala, Roberts 1 Nguyen, Van-Dung 1 Nguyen, Van Kien 1 Nome, Morten A. 1 Novak, Erich 1 Okoudjou, Kasso A. 1 Pinto, Manuel 1 Pozharska, Kateryna Vitaliivna 1 Shen, Xinhua 1 Sickel, Winfried 1 Siedlecki, Paweł 1 Sørevik, Tor 1 Stoll, Martin 1 Sun, Hongpeng 1 Tai, Xuecheng 1 Townsend, Alex 1 Ullrich, Mario 1 Voigtlaender, Felix 1 Vybíral, Jan 1 Wahls, Sander 1 Wang, Bo 1 Wang, Hui 1 Wang, Yang 1 Xu, Yuesheng 1 Yu, Annan all top 5 Cited in 28 Serials 9 Applied and Computational Harmonic Analysis 7 Journal of Complexity 5 Numerische Mathematik 4 Sampling Theory, Signal Processing, and Data Analysis 3 Mathematics of Computation 3 Journal of Approximation Theory 3 Constructive Approximation 3 Advances in Computational Mathematics 2 BIT 2 SIAM Journal on Numerical Analysis 2 Numerical Algorithms 2 SIAM Journal on Scientific Computing 2 Foundations of Computational Mathematics 1 Analysis Mathematica 1 Computers & Mathematics with Applications 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Proceedings of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Scientific Computing 1 ETNA. Electronic Transactions on Numerical Analysis 1 The Journal of Fourier Analysis and Applications 1 Communications in Nonlinear Science and Numerical Simulation 1 Multiscale Modeling & Simulation 1 GAMM-Mitteilungen 1 Journal of Mathematics 1 SMAI Journal of Computational Mathematics all top 5 Cited in 18 Fields 50 Numerical analysis (65-XX) 33 Approximations and expansions (41-XX) 33 Harmonic analysis on Euclidean spaces (42-XX) 14 Information and communication theory, circuits (94-XX) 13 Computer science (68-XX) 6 Probability theory and stochastic processes (60-XX) 4 Functional analysis (46-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Partial differential equations (35-XX) 3 Statistics (62-XX) 2 Operator theory (47-XX) 2 Mechanics of deformable solids (74-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year