Adcock, Ben; Dexter, Nick; Moraga, Sebastian Optimal approximation of infinite-dimensional holomorphic functions. (English) Zbl 07814906 Calcolo 61, No. 1, Paper No. 12, 45 p. (2024). MSC: 65D40 41A63 65Y20 PDFBibTeX XMLCite \textit{B. Adcock} et al., Calcolo 61, No. 1, Paper No. 12, 45 p. (2024; Zbl 07814906) Full Text: DOI arXiv
Chen, Shi; Ding, Zhiyan; Li, Qin; Wright, Stephen J. A reduced order Schwarz method for nonlinear multiscale elliptic equations based on two-layer neural networks. (English) Zbl 07806684 J. Comput. Math. 42, No. 2, 570-596 (2024). MSC: 65N55 35J66 41A46 68T07 PDFBibTeX XMLCite \textit{S. Chen} et al., J. Comput. Math. 42, No. 2, 570--596 (2024; Zbl 07806684) Full Text: DOI arXiv
Osipenko, K. Yu. Optimal recovery and generalized Carlson inequality for weights with symmetry properties. (English) Zbl 07805471 J. Complexity 81, Article ID 101807, 35 p. (2024). MSC: 41A65 41A46 49N30 PDFBibTeX XMLCite \textit{K. Yu. Osipenko}, J. Complexity 81, Article ID 101807, 35 p. (2024; Zbl 07805471) Full Text: DOI arXiv
Aizawa, Yuto; Kimura, Masato; Matsui, Kazunori Universal approximation properties for an ODENet and a ResNet: mathematical analysis and numerical experiments. (English) Zbl 07770115 Discrete Contin. Dyn. Syst., Ser. B 29, No. 1, 351-376 (2024). MSC: 68T07 37M15 41A46 41A63 65L12 65P99 PDFBibTeX XMLCite \textit{Y. Aizawa} et al., Discrete Contin. Dyn. Syst., Ser. B 29, No. 1, 351--376 (2024; Zbl 07770115) Full Text: DOI arXiv
Zuyev, Alexander; Feng, Lihong; Benner, Peter Estimates of the Kolmogorov n-width for nonlinear transformations with application to distributed-parameter control systems. arXiv:2403.06029 Preprint, arXiv:2403.06029 [math.OC] (2024). MSC: 93C20 93C25 41A25 41A46 81Q93 74K10 BibTeX Cite \textit{A. Zuyev} et al., ``Estimates of the Kolmogorov n-width for nonlinear transformations with application to distributed-parameter control systems'', Preprint, arXiv:2403.06029 [math.OC] (2024) Full Text: arXiv OA License
Yserentant, Harry An iterative method for the solution of Laplace-like equations in high and very high space dimensions. arXiv:2403.00682 Preprint, arXiv:2403.00682 [math.NA] (2024). MSC: 41A46 41A63 65D40 65N12 BibTeX Cite \textit{H. Yserentant}, ``An iterative method for the solution of Laplace-like equations in high and very high space dimensions'', Preprint, arXiv:2403.00682 [math.NA] (2024) Full Text: arXiv OA License
Fabiani, Gianluca Random Projection Neural Networks of Best Approximation: Convergence theory and practical applications. arXiv:2402.11397 Preprint, arXiv:2402.11397 [cs.LG] (2024). MSC: 41A25 41A30 41A46 41A50 41A52 65D15 65Y20 68W20 BibTeX Cite \textit{G. Fabiani}, ``Random Projection Neural Networks of Best Approximation: Convergence theory and practical applications'', Preprint, arXiv:2402.11397 [cs.LG] (2024) Full Text: arXiv OA License
Kushpel, Alexander Optimal linear approximation and isometric extensions. arXiv:2402.05475 Preprint, arXiv:2402.05475 [math.FA] (2024). MSC: 41A46 42A45 BibTeX Cite \textit{A. Kushpel}, ``Optimal linear approximation and isometric extensions'', Preprint, arXiv:2402.05475 [math.FA] (2024) Full Text: arXiv OA License
Siegel, Jonathan W. Sharp Lower Bounds on the Manifold Widths of Sobolev and Besov Spaces. arXiv:2402.04407 Preprint, arXiv:2402.04407 [math.NA] (2024). MSC: 41A46 41A25 BibTeX Cite \textit{J. W. Siegel}, ``Sharp Lower Bounds on the Manifold Widths of Sobolev and Besov Spaces'', Preprint, arXiv:2402.04407 [math.NA] (2024) Full Text: arXiv OA License
Li, Yuwen A new analysis of empirical interpolation methods and Chebyshev greedy algorithms. arXiv:2401.13985 Preprint, arXiv:2401.13985 [math.NA] (2024). MSC: 41A46 41A65 65J05 65M12 BibTeX Cite \textit{Y. Li}, ``A new analysis of empirical interpolation methods and Chebyshev greedy algorithms'', Preprint, arXiv:2401.13985 [math.NA] (2024) Full Text: arXiv OA License
Parolini, Nicola; Poiatti, Andrea; Vene’, Julian; Verani, Marco Structure-preserving neural networks in data-driven rheological models. arXiv:2401.07121 Preprint, arXiv:2401.07121 [math.NA] (2024). MSC: 76A05 76D03 76M10 41A46 BibTeX Cite \textit{N. Parolini} et al., ``Structure-preserving neural networks in data-driven rheological models'', Preprint, arXiv:2401.07121 [math.NA] (2024) Full Text: arXiv OA License
Temlyakov, V. N. On universal sampling recovery in the uniform norm. (English. Russian original) Zbl 07814418 Proc. Steklov Inst. Math. 323, No. 1, 206-216 (2023); translation from Tr. Mat. Inst. Steklova 323, 213-223 (2023). MSC: 94A20 41A30 41A46 41A55 PDFBibTeX XMLCite \textit{V. N. Temlyakov}, Proc. Steklov Inst. Math. 323, No. 1, 206--216 (2023; Zbl 07814418); translation from Tr. Mat. Inst. Steklova 323, 213--223 (2023) Full Text: DOI arXiv OA License
Shabozov, Mirgand Shabozovich; Yusupov, Gulzorkhon Amirshoevich On the best polynomial approximation of functions in the Hardy space \(H_{q,R}\), \((1\le q\le\infty, R\ge 1)\). (Russian. English summary) Zbl 07804922 Chebyshevskiĭ Sb. 24, No. 1(87), 182-193 (2023). Reviewer: Yuri A. Farkov (Moskva) MSC: 41A10 30E10 PDFBibTeX XMLCite \textit{M. S. Shabozov} and \textit{G. A. Yusupov}, Chebyshevskiĭ Sb. 24, No. 1(87), 182--193 (2023; Zbl 07804922) Full Text: DOI MNR
Hembars’ka, Svitlana B.; Romanyuk, Ihor A.; Fedunyk-Yaremchuk, Oksana V. Characteristics of the linear and nonlinear approximations of the Nikol’skii-Besov-type classes of periodic functions of several variables. (English. Ukrainian original) Zbl 07798133 J. Math. Sci., New York 274, No. 3, 307-326 (2023); translation from Ukr. Mat. Visn. 20, No. 2, 161-185 (2023). MSC: 41Axx 42Axx 42Bxx PDFBibTeX XMLCite \textit{S. B. Hembars'ka} et al., J. Math. Sci., New York 274, No. 3, 307--326 (2023; Zbl 07798133); translation from Ukr. Mat. Visn. 20, No. 2, 161--185 (2023) Full Text: DOI
Dai, F.; Temlyakov, V. Universal sampling discretization. (English) Zbl 07781586 Constr. Approx. 58, No. 3, 589-613 (2023). MSC: 65J05 41A46 41A63 42A05 65D30 PDFBibTeX XMLCite \textit{F. Dai} and \textit{V. Temlyakov}, Constr. Approx. 58, No. 3, 589--613 (2023; Zbl 07781586) Full Text: DOI arXiv
Haroske, D. D.; Leopold, H.-G.; Moura, S. D.; Skrzypczak, L. Nuclear and compact embeddings in function spaces of generalised smoothness. (English) Zbl 07773823 Anal. Math. 49, No. 4, 1007-1039 (2023). MSC: 46E35 41A46 47B10 PDFBibTeX XMLCite \textit{D. D. Haroske} et al., Anal. Math. 49, No. 4, 1007--1039 (2023; Zbl 07773823) Full Text: DOI arXiv
Gülfırat, Mustafa; Bayram, Nilay Şahin On uniform statistical convergence. (English) Zbl 07772824 Georgian Math. J. 30, No. 6, 873-882 (2023). Reviewer: Tuğba Yurdakadim (Bilecik) MSC: 40A35 40G15 41A46 PDFBibTeX XMLCite \textit{M. Gülfırat} and \textit{N. Ş. Bayram}, Georgian Math. J. 30, No. 6, 873--882 (2023; Zbl 07772824) Full Text: DOI
Jahn, Thomas; Ullrich, Tino; Voigtlaender, Felix Sampling numbers of smoothness classes via \(\ell^1\)-minimization. (English) Zbl 07772620 J. Complexity 79, Article ID 101786, 35 p. (2023). MSC: 94A20 41A46 46E15 42B35 41A25 65D15 41A63 PDFBibTeX XMLCite \textit{T. Jahn} et al., J. Complexity 79, Article ID 101786, 35 p. (2023; Zbl 07772620) Full Text: DOI arXiv
Kushpel, Alexander Optimal recovery and volume estimates. (English) Zbl 1527.41007 J. Complexity 79, Article ID 101780, 15 p. (2023). MSC: 41A46 42C10 PDFBibTeX XMLCite \textit{A. Kushpel}, J. Complexity 79, Article ID 101780, 15 p. (2023; Zbl 1527.41007) Full Text: DOI
Negulescu, C.; Maupoux, A.; Lehman, É. Modelling, simulation and mathematical analysis of drone swarms via entropy methods. (English) Zbl 1528.34002 Matematiche 78, No. 1, 23-95 (2023). MSC: 34-02 34C60 92D25 34D05 34D20 82C31 92D50 82C21 41A46 PDFBibTeX XMLCite \textit{C. Negulescu} et al., Matematiche 78, No. 1, 23--95 (2023; Zbl 1528.34002) Full Text: DOI
Xu, Yanyan; Chen, Guanggui; Lu, Wenjing Nonlinear approximation of functions by sets of finite pseudo-dimension in the probabilistic and average case settings. (English) Zbl 1527.41009 Anal. Appl., Singap. 21, No. 6, 1517-1532 (2023). Reviewer: Anjali (Delhi) MSC: 41A46 46A32 PDFBibTeX XMLCite \textit{Y. Xu} et al., Anal. Appl., Singap. 21, No. 6, 1517--1532 (2023; Zbl 1527.41009) Full Text: DOI
Albiac, Fernando; Ansorena, José L.; Berasategui, Miguel Sparse approximation using new greedy-like bases in superreflexive spaces. (English) Zbl 1528.41089 Stud. Math. 271, No. 3, 321-346 (2023). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A65 41A46 41A17 46B15 46B45 PDFBibTeX XMLCite \textit{F. Albiac} et al., Stud. Math. 271, No. 3, 321--346 (2023; Zbl 1528.41089) Full Text: DOI arXiv
Romanyuk, Anatolii S.; Yanchenko, Serhii Ya. Estimates for the entropy numbers of the Nikol’skii-Besov classes of functions with mixed smoothness in the space of quasi-continuous functions. (English) Zbl 07747127 Math. Nachr. 296, No. 6, 2575-2587 (2023). Reviewer: Kateryna Pozharska (Kyjiw) MSC: 41A46 42A10 42B10 PDFBibTeX XMLCite \textit{A. S. Romanyuk} and \textit{S. Ya. Yanchenko}, Math. Nachr. 296, No. 6, 2575--2587 (2023; Zbl 07747127) Full Text: DOI
Langarshoev, Mukhtor Ramazonovich The best approximation and the values of the widths of some classes of analytical functions in the weighted Bergman space \(\mathscr{B}_{2,\gamma} \). (Russian. English summary) Zbl 07746270 Vestn. Ross. Univ., Mat. 28, No. 142, 182-192 (2023). MSC: 30E05 30E10 42A10 PDFBibTeX XMLCite \textit{M. R. Langarshoev}, Vestn. Ross. Univ., Mat. 28, No. 142, 182--192 (2023; Zbl 07746270) Full Text: DOI MNR
Hashizume, Masato; Ioku, Norisuke \(W^{1,p}\) approximation of the Moser-Trudinger inequality. (English) Zbl 07741061 Proc. Am. Math. Soc. 151, No. 10, 4279-4289 (2023). MSC: 46E35 41A46 40A25 26D10 PDFBibTeX XMLCite \textit{M. Hashizume} and \textit{N. Ioku}, Proc. Am. Math. Soc. 151, No. 10, 4279--4289 (2023; Zbl 07741061) Full Text: DOI arXiv
Bachmayr, Markus Low-rank tensor methods for partial differential equations. (English) Zbl 07736652 Acta Numerica 32, 1-121 (2023). MSC: 65-XX 41A46 41A63 65D40 65F55 65J10 65M12 65N12 65N25 65Y20 PDFBibTeX XMLCite \textit{M. Bachmayr}, Acta Numerica 32, 1--121 (2023; Zbl 07736652) Full Text: DOI
Li, Yangyang Existence of infinitely many minimal hypersurfaces in higher-dimensional closed manifolds with generic metrics. (English) Zbl 1528.53010 J. Differ. Geom. 124, No. 2, 381-395 (2023). Reviewer: Rafael Lopez (Granada) MSC: 53A10 53C42 PDFBibTeX XMLCite \textit{Y. Li}, J. Differ. Geom. 124, No. 2, 381--395 (2023; Zbl 1528.53010) Full Text: DOI arXiv Link
Temlyakov, V. N. Sampling discretization error of integral norms for function classes with small smoothness. (English) Zbl 1528.41069 J. Approx. Theory 293, Article ID 105913, 15 p. (2023). MSC: 41A46 65D30 68T05 PDFBibTeX XMLCite \textit{V. N. Temlyakov}, J. Approx. Theory 293, Article ID 105913, 15 p. (2023; Zbl 1528.41069) Full Text: DOI
Caragea, Andrei; Petersen, Philipp; Voigtlaender, Felix Neural network approximation and estimation of classifiers with classification boundary in a Barron class. (English) Zbl 07720498 Ann. Appl. Probab. 33, No. 4, 3039-3079 (2023). MSC: 68T07 41A25 41A46 42B35 46E15 PDFBibTeX XMLCite \textit{A. Caragea} et al., Ann. Appl. Probab. 33, No. 4, 3039--3079 (2023; Zbl 07720498) Full Text: DOI arXiv Link
Petrova, Guergana; Wojtaszczyk, Przemyslaw On the entropy numbers and the Kolmogorov widths. (English) Zbl 1518.41013 Pure Appl. Funct. Anal. 8, No. 2, 583-602 (2023). MSC: 41A46 41A65 PDFBibTeX XMLCite \textit{G. Petrova} and \textit{P. Wojtaszczyk}, Pure Appl. Funct. Anal. 8, No. 2, 583--602 (2023; Zbl 1518.41013) Full Text: arXiv Link
Bachmayr, Markus; Nouy, Anthony; Schneider, Reinhold Approximation by tree tensor networks in high dimensions: Sobolev and compositional functions. (English) Zbl 1524.41083 Pure Appl. Funct. Anal. 8, No. 2, 405-428 (2023). MSC: 41A63 41A30 41A46 PDFBibTeX XMLCite \textit{M. Bachmayr} et al., Pure Appl. Funct. Anal. 8, No. 2, 405--428 (2023; Zbl 1524.41083) Full Text: arXiv Link
Schwab, Christoph; Zech, Jakob Deep learning in high dimension: neural network expression rates for analytic functions in \(L^2(\mathbb{R}^d,\gamma_d)\). (English) Zbl 1524.41084 SIAM/ASA J. Uncertain. Quantif. 11, 199-234 (2023). MSC: 41A63 33C45 41A46 68T07 PDFBibTeX XMLCite \textit{C. Schwab} and \textit{J. Zech}, SIAM/ASA J. Uncertain. Quantif. 11, 199--234 (2023; Zbl 1524.41084) Full Text: DOI arXiv
Albiac, Fernando; Ansorena, José L.; Berasategui, Miguel Elton’s near unconditionality of bases as a threshold-free form of greediness. (English) Zbl 1528.41088 J. Funct. Anal. 285, No. 7, Article ID 110060, 24 p. (2023). MSC: 41A65 41A46 41A17 46B15 46B45 PDFBibTeX XMLCite \textit{F. Albiac} et al., J. Funct. Anal. 285, No. 7, Article ID 110060, 24 p. (2023; Zbl 1528.41088) Full Text: DOI arXiv
Marcati, Carlo; Opschoor, Joost A. A.; Petersen, Philipp C.; Schwab, Christoph Exponential ReLU neural network approximation rates for point and edge singularities. (English) Zbl 1519.35253 Found. Comput. Math. 23, No. 3, 1043-1127 (2023). MSC: 35Q40 41A25 41A46 65N30 68T07 35B65 35P30 35J15 PDFBibTeX XMLCite \textit{C. Marcati} et al., Found. Comput. Math. 23, No. 3, 1043--1127 (2023; Zbl 1519.35253) Full Text: DOI arXiv
Chodosh, Otis; Mantoulidis, Christos The p-widths of a surface. (English) Zbl 07692200 Publ. Math., Inst. Hautes Étud. Sci. 137, 245-342 (2023). Reviewer: Costante Bellettini (London) MSC: 58J50 58C40 55M30 53C42 53C22 PDFBibTeX XMLCite \textit{O. Chodosh} and \textit{C. Mantoulidis}, Publ. Math., Inst. Hautes Étud. Sci. 137, 245--342 (2023; Zbl 07692200) Full Text: DOI arXiv
Byrenheid, Glenn; Hübner, Janina; Weimar, Markus Rate-optimal sparse approximation of compact break-of-scale embeddings. (English) Zbl 1514.35124 Appl. Comput. Harmon. Anal. 65, 40-66 (2023). MSC: 35J10 35Q40 41A25 41A45 41A46 PDFBibTeX XMLCite \textit{G. Byrenheid} et al., Appl. Comput. Harmon. Anal. 65, 40--66 (2023; Zbl 1514.35124) Full Text: DOI arXiv
Petrova, Guergana; Wojtaszczyk, Przemysław Lipschitz widths. (English) Zbl 1528.41068 Constr. Approx. 57, No. 2, 759-805 (2023). MSC: 41A46 41A65 82C32 PDFBibTeX XMLCite \textit{G. Petrova} and \textit{P. Wojtaszczyk}, Constr. Approx. 57, No. 2, 759--805 (2023; Zbl 1528.41068) Full Text: DOI arXiv
Kashin, B.; Konyagin, S.; Temlyakov, V. Sampling discretization of the uniform norm. (English) Zbl 1528.41067 Constr. Approx. 57, No. 2, 663-694 (2023). MSC: 41A46 42A10 PDFBibTeX XMLCite \textit{B. Kashin} et al., Constr. Approx. 57, No. 2, 663--694 (2023; Zbl 1528.41067) Full Text: DOI arXiv
Ivanov, Kamen G.; Petrushev, Pencho Nonlinear wavelet approximation in BMO. (English) Zbl 1528.42030 Constr. Approx. 57, No. 2, 631-661 (2023). MSC: 42B35 41A17 41A46 42C40 PDFBibTeX XMLCite \textit{K. G. Ivanov} and \textit{P. Petrushev}, Constr. Approx. 57, No. 2, 631--661 (2023; Zbl 1528.42030) Full Text: DOI
Albiac, Fernando; Ansorena, José L.; Berasategui, Miguel; Berná, Pablo M.; Lassalle, Silvia Bidemocratic bases and their connections with other greedy-type bases. (English) Zbl 1528.41090 Constr. Approx. 57, No. 1, 125-160 (2023). MSC: 41A65 41A46 46B15 46B45 PDFBibTeX XMLCite \textit{F. Albiac} et al., Constr. Approx. 57, No. 1, 125--160 (2023; Zbl 1528.41090) Full Text: DOI arXiv
Nie, Weilin; Wang, Cheng Convergence analysis of online learning algorithm with two-stage step size. (English) Zbl 07677979 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 1, 201-211 (2023). MSC: 68T05 68Q32 62J02 41A46 PDFBibTeX XMLCite \textit{W. Nie} and \textit{C. Wang}, Int. J. Nonlinear Sci. Numer. Simul. 24, No. 1, 201--211 (2023; Zbl 07677979) Full Text: DOI
Vasil’eva, A. A. Kolmogorov widths of the intersection of two finite-dimensional balls in a mixed norm. (English. Russian original) Zbl 1528.41072 Math. Notes 113, No. 4, 584-586 (2023); translation from Mat. Zametki 113, No. 4, 604-606 (2023). MSC: 41A46 PDFBibTeX XMLCite \textit{A. A. Vasil'eva}, Math. Notes 113, No. 4, 584--586 (2023; Zbl 1528.41072); translation from Mat. Zametki 113, No. 4, 604--606 (2023) Full Text: DOI
Rim, Donsub; Peherstorfer, Benjamin; Mandli, Kyle T. Manifold approximations via transported subspaces: model reduction for transport-dominated problems. (English) Zbl 1514.78017 SIAM J. Sci. Comput. 45, No. 1, A170-A199 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 78M34 78M12 78M20 65M08 65M06 65N08 65D05 41A46 35F20 PDFBibTeX XMLCite \textit{D. Rim} et al., SIAM J. Sci. Comput. 45, No. 1, A170--A199 (2023; Zbl 1514.78017) Full Text: DOI arXiv
Song, Antoine Existence of infinitely many minimal hypersurfaces in closed manifolds. (English) Zbl 1526.53013 Ann. Math. (2) 197, No. 3, 859-895 (2023). Reviewer: Alexis Michelat (Lausanne) MSC: 53A10 53C42 PDFBibTeX XMLCite \textit{A. Song}, Ann. Math. (2) 197, No. 3, 859--895 (2023; Zbl 1526.53013) Full Text: DOI arXiv
Ulitskaya, A. Yu. Sharp estimates for the mean-square approximations of convolution classes by shift spaces on the axis. (English. Russian original) Zbl 1528.41070 Sib. Math. J. 64, No. 1, 157-173 (2023); translation from Sib. Mat. Zh. 64, No. 1, 184-203 (2023). MSC: 41A46 41A50 42A10 PDFBibTeX XMLCite \textit{A. Yu. Ulitskaya}, Sib. Math. J. 64, No. 1, 157--173 (2023; Zbl 1528.41070); translation from Sib. Mat. Zh. 64, No. 1, 184--203 (2023) Full Text: DOI
Grohs, Philipp; Klotz, Andreas; Voigtlaender, Felix Phase transitions in rate distortion theory and deep learning. (English) Zbl 1528.94024 Found. Comput. Math. 23, No. 1, 329-392 (2023). MSC: 94A34 28C20 41A46 68T07 PDFBibTeX XMLCite \textit{P. Grohs} et al., Found. Comput. Math. 23, No. 1, 329--392 (2023; Zbl 1528.94024) Full Text: DOI arXiv
Griebel, Michael; Harbrecht, Helmut Analysis of tensor approximation schemes for continuous functions. (English) Zbl 07654471 Found. Comput. Math. 23, No. 1, 219-240 (2023). Reviewer: Dmitrii Legatiuk (Erfurt) MSC: 41A46 41A63 46E35 PDFBibTeX XMLCite \textit{M. Griebel} and \textit{H. Harbrecht}, Found. Comput. Math. 23, No. 1, 219--240 (2023; Zbl 07654471) Full Text: DOI arXiv
Liu, Yuqi; Li, Huan; Li, Xuehua Gel’fand widths of Sobolev classes of functions in the average setting. (English) Zbl 1528.41085 Ann. Funct. Anal. 14, No. 2, Paper No. 31, 18 p. (2023). MSC: 41A63 41A46 42A61 PDFBibTeX XMLCite \textit{Y. Liu} et al., Ann. Funct. Anal. 14, No. 2, Paper No. 31, 18 p. (2023; Zbl 1528.41085) Full Text: DOI
Banjai, Lehel; Melenk, Jens M.; Schwab, Christoph Exponential convergence of hp FEM for spectral fractional diffusion in polygons. (English) Zbl 1511.65117 Numer. Math. 153, No. 1, 1-47 (2023). MSC: 65N30 65N50 65N12 65N15 35J86 35B35 26A33 35R11 PDFBibTeX XMLCite \textit{L. Banjai} et al., Numer. Math. 153, No. 1, 1--47 (2023; Zbl 1511.65117) Full Text: DOI arXiv
Duan, Liqin; Ye, Peixin; Li, Wan Complexity of Monte Carlo integration for Besov classes on the unit sphere. (English) Zbl 1512.65003 Ann. Funct. Anal. 14, No. 1, Paper No. 20, 18 p. (2023). MSC: 65C05 41A46 41A63 65D30 PDFBibTeX XMLCite \textit{L. Duan} et al., Ann. Funct. Anal. 14, No. 1, Paper No. 20, 18 p. (2023; Zbl 1512.65003) Full Text: DOI
Milaré, J.; Kushpel, A. K.; Tozoni, S. A. Estimates of entropy for multiplier operators of systems of orthonormal functions. (English) Zbl 1527.41008 J. Approx. Theory 285, Article ID 105837, 23 p. (2023). Reviewer: Yuri A. Farkov (Moskva) MSC: 41A46 42C10 94A17 PDFBibTeX XMLCite \textit{J. Milaré} et al., J. Approx. Theory 285, Article ID 105837, 23 p. (2023; Zbl 1527.41008) Full Text: DOI
Xu, Guiqiao; Liu, Yongping; Guo, Dandan Optimal Birkhoff interpolation and Birkhoff numbers in some function spaces. (English) Zbl 1513.41001 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 1, 125-142 (2023). MSC: 41A05 41A25 41A46 PDFBibTeX XMLCite \textit{G. Xu} et al., Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 1, 125--142 (2023; Zbl 1513.41001) Full Text: DOI
Dota, Alicja; Skrzypczak, Leszek Embeddings of block-radial functions – approximation properties and nuclearity. arXiv:2312.09724 Preprint, arXiv:2312.09724 [math.FA] (2023). MSC: 41A46 46E35 47B10 BibTeX Cite \textit{A. Dota} and \textit{L. Skrzypczak}, ``Embeddings of block-radial functions -- approximation properties and nuclearity'', Preprint, arXiv:2312.09724 [math.FA] (2023) Full Text: arXiv OA License
Abdeljawad, Ahmed; Dittrich, Thomas Space-Time Approximation with Shallow Neural Networks in Fourier Lebesgue spaces. arXiv:2312.08461 Preprint, arXiv:2312.08461 [cs.LG] (2023). MSC: 41A25 41A46 41A30 46E35 62M45 68T05 BibTeX Cite \textit{A. Abdeljawad} and \textit{T. Dittrich}, ``Space-Time Approximation with Shallow Neural Networks in Fourier Lebesgue spaces'', Preprint, arXiv:2312.08461 [cs.LG] (2023) Full Text: arXiv OA License
Dang, Haoning; Wang, Fei Local Randomized Neural Networks with Hybridized Discontinuous Petrov-Galerkin Methods for Stokes-Darcy Flows. arXiv:2312.05920 Preprint, arXiv:2312.05920 [math.NA] (2023). MSC: 65N30 41A46 BibTeX Cite \textit{H. Dang} and \textit{F. Wang}, ``Local Randomized Neural Networks with Hybridized Discontinuous Petrov-Galerkin Methods for Stokes-Darcy Flows'', Preprint, arXiv:2312.05920 [math.NA] (2023) Full Text: arXiv OA License
Buchfink, Patrick; Glas, Silke; Haasdonk, Bernard Approximation Bounds for Model Reduction on Polynomially Mapped Manifolds. arXiv:2312.00724 Preprint, arXiv:2312.00724 [math.NA] (2023). MSC: 41A45 41A46 41A65 65L70 65M15 65N15 BibTeX Cite \textit{P. Buchfink} et al., ``Approximation Bounds for Model Reduction on Polynomially Mapped Manifolds'', Preprint, arXiv:2312.00724 [math.NA] (2023) Full Text: arXiv OA License
Yang, Yahong; Lu, Yulong Optimal Deep Neural Network Approximation for Korobov Functions with respect to Sobolev Norms. arXiv:2311.04779 Preprint, arXiv:2311.04779 [math.NA] (2023). MSC: 68Q25 41A25 41A46 65D07 BibTeX Cite \textit{Y. Yang} and \textit{Y. Lu}, ``Optimal Deep Neural Network Approximation for Korobov Functions with respect to Sobolev Norms'', Preprint, arXiv:2311.04779 [math.NA] (2023) Full Text: arXiv OA License
Gulgowski, Jacek; Kamont, Anna; Passenbrunner, Markus Properties of local orthonormal systems, Part III: Variation spaces. arXiv:2310.17309 Preprint, arXiv:2310.17309 [math.FA] (2023). MSC: 41A46 26A45 42C05 42C40 46E30 BibTeX Cite \textit{J. Gulgowski} et al., ``Properties of local orthonormal systems, Part III: Variation spaces'', Preprint, arXiv:2310.17309 [math.FA] (2023) Full Text: arXiv OA License
Rim, D.; Welper, G. Performance bounds for Reduced Order Models with Application to Parametric Transport. arXiv:2310.14391 Preprint, arXiv:2310.14391 [math.NA] (2023). MSC: 41A46 41A25 65N15 BibTeX Cite \textit{D. Rim} and \textit{G. Welper}, ``Performance bounds for Reduced Order Models with Application to Parametric Transport'', Preprint, arXiv:2310.14391 [math.NA] (2023) Full Text: arXiv OA License
Welper, G. Approximation Results for Gradient Descent trained Neural Networks. arXiv:2309.04860 Preprint, arXiv:2309.04860 [cs.LG] (2023). MSC: 41A46 65K10 68T07 BibTeX Cite \textit{G. Welper}, ``Approximation Results for Gradient Descent trained Neural Networks'', Preprint, arXiv:2309.04860 [cs.LG] (2023) Full Text: arXiv OA License
Liao, Yulei; Ming, Pingbing Spectral Barron space and deep neural network approximation. arXiv:2309.00788 Preprint, arXiv:2309.00788 [math.NA] (2023). MSC: 32C22 32K05 33C20 41A25 41A46 42A38 68T07 BibTeX Cite \textit{Y. Liao} and \textit{P. Ming}, ``Spectral Barron space and deep neural network approximation'', Preprint, arXiv:2309.00788 [math.NA] (2023) Full Text: arXiv OA License
Taddei, Tommaso Compositional maps for registration in complex geometries. arXiv:2308.15307 Preprint, arXiv:2308.15307 [math.NA] (2023). MSC: 41A46 65N30 90C26 35L02 BibTeX Cite \textit{T. Taddei}, ``Compositional maps for registration in complex geometries'', Preprint, arXiv:2308.15307 [math.NA] (2023) Full Text: arXiv OA License
Khamlich, Moaad; Pichi, Federico; Rozza, Gianluigi Optimal Transport-inspired Deep Learning Framework for Slow-Decaying Problems: Exploiting Sinkhorn Loss and Wasserstein Kernel. arXiv:2308.13840 Preprint, arXiv:2308.13840 [math.NA] (2023). MSC: 68T05 65D99 41A05 65N30 41A46 90C25 BibTeX Cite \textit{M. Khamlich} et al., ``Optimal Transport-inspired Deep Learning Framework for Slow-Decaying Problems: Exploiting Sinkhorn Loss and Wasserstein Kernel'', Preprint, arXiv:2308.13840 [math.NA] (2023) Full Text: arXiv OA License
Shang, Yong; Wang, Fei Randomized Neural Networks with Petrov-Galerkin Methods for Solving Linear Elasticity Problems. arXiv:2308.03088 Preprint, arXiv:2308.03088 [math.NA] (2023). MSC: 65N30 41A46 BibTeX Cite \textit{Y. Shang} and \textit{F. Wang}, ``Randomized Neural Networks with Petrov-Galerkin Methods for Solving Linear Elasticity Problems'', Preprint, arXiv:2308.03088 [math.NA] (2023) Full Text: arXiv OA License
Li, Yunlong; Wang, Fei Local Randomized Neural Networks Methods for Interface Problems. arXiv:2308.03087 Preprint, arXiv:2308.03087 [math.NA] (2023). MSC: 65M06 68T07 41A46 BibTeX Cite \textit{Y. Li} and \textit{F. Wang}, ``Local Randomized Neural Networks Methods for Interface Problems'', Preprint, arXiv:2308.03087 [math.NA] (2023) Full Text: arXiv OA License
Siegel, Jonathan W. Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks. arXiv:2307.15285 Preprint, arXiv:2307.15285 [stat.ML] (2023). MSC: 41A25 41A46 52A21 68T07 BibTeX Cite \textit{J. W. Siegel}, ``Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks'', Preprint, arXiv:2307.15285 [stat.ML] (2023) Full Text: arXiv OA License
Albiac, Fernando; Ansorena, Jose L.; Berasategui, Miguel Linear versus nonlinear forms of partial unconditionality of bases. arXiv:2305.12253 Preprint, arXiv:2305.12253 [math.FA] (2023). MSC: 41A65 41A46 41A17 46B15 46B45 BibTeX Cite \textit{F. Albiac} et al., ``Linear versus nonlinear forms of partial unconditionality of bases'', Preprint, arXiv:2305.12253 [math.FA] (2023) Full Text: arXiv OA License
Li, Yuwen; Siegel, Jonathan Entropy-based convergence rates of greedy algorithms. arXiv:2304.13332 Preprint, arXiv:2304.13332 [math.NA] (2023). MSC: 41A25 41A46 41A65 65M12 65N15 BibTeX Cite \textit{Y. Li} and \textit{J. Siegel}, ``Entropy-based convergence rates of greedy algorithms'', Preprint, arXiv:2304.13332 [math.NA] (2023) Full Text: DOI arXiv OA License
Gulgowski, Jacek; Kamont, Anna; Passenbrunner, Markus Properties of local orthonormal systems, Part II: Geometric characterization of Bernstein inequalities. arXiv:2304.05647 Preprint, arXiv:2304.05647 [math.FA] (2023). MSC: 41A17 41A46 42C05 42C40 46E30 BibTeX Cite \textit{J. Gulgowski} et al., ``Properties of local orthonormal systems, Part II: Geometric characterization of Bernstein inequalities'', Preprint, arXiv:2304.05647 [math.FA] (2023) Full Text: arXiv OA License
Triebel, Hans Mapping properties of pseudodifferential and Fourier operators. (English) Zbl 1520.47089 Z. Anal. Anwend. 41, No. 3-4, 371-389 (2022). Reviewer: Luigi Rodino (Torino) MSC: 47G30 46E35 35P15 41A46 42B10 PDFBibTeX XMLCite \textit{H. Triebel}, Z. Anal. Anwend. 41, No. 3--4, 371--389 (2022; Zbl 1520.47089) Full Text: DOI arXiv
Malykhin, Yu. V. A complete description of the relative widths of Sobolev classes in the uniform metric. (English. Russian original) Zbl 1519.46024 Proc. Steklov Inst. Math. 319, Suppl. 1, S188-S192 (2022); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 28, No. 4, 137-142 (2022). MSC: 46E35 41A46 PDFBibTeX XMLCite \textit{Yu. V. Malykhin}, Proc. Steklov Inst. Math. 319, S188--S192 (2022; Zbl 1519.46024); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 28, No. 4, 137--142 (2022) Full Text: DOI
Berasategui, Miguel; Berná, Pablo M. Extensions of democracy-like properties for sequences with gaps. (English) Zbl 1512.41024 Math. Inequal. Appl. 25, No. 4, 1155-1189 (2022). Reviewer: D. K. Ugulava (Tbilisi) MSC: 41A65 41A46 46B15 46B45 PDFBibTeX XMLCite \textit{M. Berasategui} and \textit{P. M. Berná}, Math. Inequal. Appl. 25, No. 4, 1155--1189 (2022; Zbl 1512.41024) Full Text: DOI arXiv
Meng, Yan; Ming, Pingbing A new function space from Barron class and application to neural network approximation. (English) Zbl 1505.65294 Commun. Comput. Phys. 32, No. 5, 1361-1400 (2022). MSC: 65N30 65M12 35J25 41A46 68T07 PDFBibTeX XMLCite \textit{Y. Meng} and \textit{P. Ming}, Commun. Comput. Phys. 32, No. 5, 1361--1400 (2022; Zbl 1505.65294) Full Text: DOI
Ford, K.; Kutzarova, D.; Shakan, G. Explicit RIP matrices: an update. (English) Zbl 1524.11018 Acta Math. Hung. 168, No. 2, 509-515 (2022). Reviewer: Takao Komatsu (Hangzhou) MSC: 11B13 11B30 11T23 41A46 94A12 PDFBibTeX XMLCite \textit{K. Ford} et al., Acta Math. Hung. 168, No. 2, 509--515 (2022; Zbl 1524.11018) Full Text: DOI arXiv
Sheng, Wancheng; Zhang, Qinglong The Riemann problem for a traffic flow model on a road with variable widths. (English) Zbl 1505.90037 IMA J. Appl. Math. 87, No. 5, 757-785 (2022). MSC: 90B20 PDFBibTeX XMLCite \textit{W. Sheng} and \textit{Q. Zhang}, IMA J. Appl. Math. 87, No. 5, 757--785 (2022; Zbl 1505.90037) Full Text: DOI arXiv
Vasil’eva, Anastasia Andreevna Kolmogorov widths of the intersection of a finite family of Sobolev classes. (English) Zbl 1513.41040 Eurasian Math. J. 13, No. 4, 88-93 (2022). MSC: 41A46 46E35 PDFBibTeX XMLCite \textit{A. A. Vasil'eva}, Eurasian Math. J. 13, No. 4, 88--93 (2022; Zbl 1513.41040) Full Text: MNR
Alrashed, Reyouf; Djob, Roger Bertin; Alshaery, A. A.; Alkhateeb, Sadah A.; Nuruddeen, R. I. Collective variables approach to the vector-coupled system of Chen-Lee-Liu equation. (English) Zbl 1504.65167 Chaos Solitons Fractals 161, Article ID 112315, 12 p. (2022). MSC: 65M06 65M50 PDFBibTeX XMLCite \textit{R. Alrashed} et al., Chaos Solitons Fractals 161, Article ID 112315, 12 p. (2022; Zbl 1504.65167) Full Text: DOI
Khuromonov, Kh. M. Exact inequalities between the best polynomial approximations and averaged norms of finite differences in the \(B_2\) space and widths of some classes of functions. (English. Russian original) Zbl 1528.30008 Russ. Math. 66, No. 3, 50-58 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 3, 61-70 (2022). MSC: 30E10 41A17 41A46 PDFBibTeX XMLCite \textit{Kh. M. Khuromonov}, Russ. Math. 66, No. 3, 50--58 (2022; Zbl 1528.30008); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 3, 61--70 (2022) Full Text: DOI
Vakarchuk, S. B.; Vakarchuk, M. B. \(K\)-functionals and extreme problems of the approximation theory for classes of analytic functions in a circle. II. (English. Ukrainian original) Zbl 1528.41071 Ukr. Math. J. 74, No. 7, 1053-1062 (2022); translation from Ukr. Mat. Zh. 74, No. 7, 921-929 (2022). MSC: 41A46 30E10 PDFBibTeX XMLCite \textit{S. B. Vakarchuk} and \textit{M. B. Vakarchuk}, Ukr. Math. J. 74, No. 7, 1053--1062 (2022; Zbl 1528.41071); translation from Ukr. Mat. Zh. 74, No. 7, 921--929 (2022) Full Text: DOI
Albiac, Fernando; Ansorena, José L.; Berná, Pablo M. New parameters and Lebesgue-type estimates in greedy approximation. (English) Zbl 1528.41091 Forum Math. Sigma 10, Paper No. e113, 39 p. (2022). MSC: 41A65 41A25 41A46 41A17 46B15 PDFBibTeX XMLCite \textit{F. Albiac} et al., Forum Math. Sigma 10, Paper No. e113, 39 p. (2022; Zbl 1528.41091) Full Text: DOI arXiv
Bódis, Attila; Csirik, János The variable-width strip packing problem. (English) Zbl 07630656 CEJOR, Cent. Eur. J. Oper. Res. 30, No. 4, 1337-1351 (2022). MSC: 90Bxx 68Q25 68W25 68W40 PDFBibTeX XMLCite \textit{A. Bódis} and \textit{J. Csirik}, CEJOR, Cent. Eur. J. Oper. Res. 30, No. 4, 1337--1351 (2022; Zbl 07630656) Full Text: DOI
Fedunyk-Yaremchuk, O. V.; Hembars’ka, S. B. Best orthogonal trigonometric approximations of the Nikol’skii-Besov-type classes of periodic functions of one and several variables. (English) Zbl 1524.41076 Carpathian Math. Publ. 14, No. 1, 171-184 (2022). MSC: 41A46 41A50 42A10 PDFBibTeX XMLCite \textit{O. V. Fedunyk-Yaremchuk} and \textit{S. B. Hembars'ka}, Carpathian Math. Publ. 14, No. 1, 171--184 (2022; Zbl 1524.41076) Full Text: DOI
Vakarchuk, S. B. Widths of the classes of functions in the weight space \(L_{2 , \gamma } (\mathbb{R})\), \(\gamma = \mathrm{exp} ( - X^2)\). (English. Ukrainian original) Zbl 1525.41012 Ukr. Math. J. 74, No. 5, 698-708 (2022); translation from Ukr. Mat. Zh. 74, No. 5, 610-619 (2022). MSC: 41A46 46E30 PDFBibTeX XMLCite \textit{S. B. Vakarchuk}, Ukr. Math. J. 74, No. 5, 698--708 (2022; Zbl 1525.41012); translation from Ukr. Mat. Zh. 74, No. 5, 610--619 (2022) Full Text: DOI
Triebel, Hans Mapping properties of Fourier transforms. (English) Zbl 1511.46025 Z. Anal. Anwend. 41, No. 1-2, 133-152 (2022). Reviewer: Winfried Sickel (Jena) MSC: 46E35 41A46 47B06 PDFBibTeX XMLCite \textit{H. Triebel}, Z. Anal. Anwend. 41, No. 1--2, 133--152 (2022; Zbl 1511.46025) Full Text: DOI arXiv
Yang, Hyoseon; Yoon, Jungho Construction of nonlinear approximation schemes for piecewise smooth data. (English) Zbl 1502.65091 Constr. Approx. 56, No. 2, 445-477 (2022). MSC: 65M12 65M15 65D07 65D05 41A15 41A25 41A46 PDFBibTeX XMLCite \textit{H. Yang} and \textit{J. Yoon}, Constr. Approx. 56, No. 2, 445--477 (2022; Zbl 1502.65091) Full Text: DOI
Adcock, Ben; Cardenas, Juan M.; Dexter, Nick CAS4DL: Christoffel adaptive sampling for function approximation via deep learning. (English) Zbl 1524.41009 Sampl. Theory Signal Process. Data Anal. 20, No. 2, Paper No. 21, 29 p. (2022). MSC: 41A10 41A17 41A46 41A63 65C05 65D15 65Y20 94A20 PDFBibTeX XMLCite \textit{B. Adcock} et al., Sampl. Theory Signal Process. Data Anal. 20, No. 2, Paper No. 21, 29 p. (2022; Zbl 1524.41009) Full Text: DOI arXiv
Dey, Akashdeep A comparison of the Almgren-Pitts and the Allen-Cahn min-max theory. (English) Zbl 1515.53009 Geom. Funct. Anal. 32, No. 5, 980-1040 (2022). Reviewer: Alexis Michelat (Lausanne) MSC: 53A10 53C42 58E12 57R70 58K05 PDFBibTeX XMLCite \textit{A. Dey}, Geom. Funct. Anal. 32, No. 5, 980--1040 (2022; Zbl 1515.53009) Full Text: DOI arXiv
Romanyuk, A. S.; Yanchenko, S. Ya. Kolmogorov widths of the Nikol’skii-Besov classes of periodic functions of many variables in the space of quasicontinuous functions. (English. Ukrainian original) Zbl 1522.46030 Ukr. Math. J. 74, No. 2, 251-265 (2022); translation from Ukr. Mat. Zh. 74, No. 2, 220-232 (2022). MSC: 46E35 41A46 PDFBibTeX XMLCite \textit{A. S. Romanyuk} and \textit{S. Ya. Yanchenko}, Ukr. Math. J. 74, No. 2, 251--265 (2022; Zbl 1522.46030); translation from Ukr. Mat. Zh. 74, No. 2, 220--232 (2022) Full Text: DOI
Utesov, A. B.; Bazarkhanova, A. A. Optimal computing units in the problem of discretizing solutions of the Klein-Gordon equation and their limit errors. (English. Russian original) Zbl 1496.65194 Differ. Equ. 58, No. 5, 698-711 (2022); translation from Differ. Uravn. 58, No. 5, 703-716 (2022). MSC: 65M99 41A46 41A63 35Q53 PDFBibTeX XMLCite \textit{A. B. Utesov} and \textit{A. A. Bazarkhanova}, Differ. Equ. 58, No. 5, 698--711 (2022; Zbl 1496.65194); translation from Differ. Uravn. 58, No. 5, 703--716 (2022) Full Text: DOI
Jiang, Bing; Ye, Peixin; Zhang, Wenhui Unified error estimate for weak biorthogonal greedy algorithms. (English) Zbl 1517.41014 Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 5, Article ID 2250010, 15 p. (2022). MSC: 41A65 41A46 41A50 46B15 46B20 PDFBibTeX XMLCite \textit{B. Jiang} et al., Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 5, Article ID 2250010, 15 p. (2022; Zbl 1517.41014) Full Text: DOI
Nikolski, Nikolai; Volberg, Alexander Sign intermixing for Riesz bases and frames measured in the Kantorovich-Rubinstein norm. (English) Zbl 1518.46005 J. Approx. Theory 281-282, Article ID 105798, 19 p. (2022). MSC: 46B15 42C05 42C15 47B06 PDFBibTeX XMLCite \textit{N. Nikolski} and \textit{A. Volberg}, J. Approx. Theory 281--282, Article ID 105798, 19 p. (2022; Zbl 1518.46005) Full Text: DOI arXiv
Banerjee, Avah An adjacency labeling scheme based on a decomposition of trees into caterpillars. (English) Zbl 07577694 Bazgan, Cristina (ed.) et al., Combinatorial algorithms. 33rd international workshop, IWOCA 2022, Trier, Germany, June 7–9, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13270, 114-127 (2022). MSC: 68Rxx 68Wxx PDFBibTeX XMLCite \textit{A. Banerjee}, Lect. Notes Comput. Sci. 13270, 114--127 (2022; Zbl 07577694) Full Text: DOI arXiv
Albiac, Fernando; Ansorena, José L.; Berasategui, Miguel; Berná, Pablo M.; Lassalle, Silvia Weak forms of unconditionality of bases in greedy approximation. (English) Zbl 1516.41017 Stud. Math. 267, No. 1, 1-17 (2022). MSC: 41A65 41A17 41A46 46B15 46B45 PDFBibTeX XMLCite \textit{F. Albiac} et al., Stud. Math. 267, No. 1, 1--17 (2022; Zbl 1516.41017) Full Text: DOI arXiv
Bekmaganbetov, K. A.; Kervenev, K. E.; Toleugazy, Y. Estimate for the order of orthoprojection width of the Nikol’skii-Besov class in the metric of anisotropic Lorentz spaces. (English. Russian original) Zbl 1514.41021 J. Math. Sci., New York 264, No. 5, 552-561 (2022); translation from Probl. Mat. Anal. 116, 59-67 (2022). MSC: 41A46 42B35 PDFBibTeX XMLCite \textit{K. A. Bekmaganbetov} et al., J. Math. Sci., New York 264, No. 5, 552--561 (2022; Zbl 1514.41021); translation from Probl. Mat. Anal. 116, 59--67 (2022) Full Text: DOI
Depersin, Jules; Lecué, Guillaume Optimal robust mean and location estimation via convex programs with respect to any pseudo-norms. (English) Zbl 07565235 Probab. Theory Relat. Fields 183, No. 3-4, 997-1025 (2022). MSC: 62F35 PDFBibTeX XMLCite \textit{J. Depersin} and \textit{G. Lecué}, Probab. Theory Relat. Fields 183, No. 3--4, 997--1025 (2022; Zbl 07565235) Full Text: DOI arXiv
Kesseböhmer, Marc; Niemann, Aljoscha Approximation order of Kolmogorov diameters via \(L^q\)-spectra and applications to polyharmonic operators. (English) Zbl 1512.46024 J. Funct. Anal. 283, No. 7, Article ID 109598, 22 p. (2022). MSC: 46E35 41A46 35P20 42B35 31B30 28A80 PDFBibTeX XMLCite \textit{M. Kesseböhmer} and \textit{A. Niemann}, J. Funct. Anal. 283, No. 7, Article ID 109598, 22 p. (2022; Zbl 1512.46024) Full Text: DOI arXiv
Li, Yuqing; Luo, Tao; Ma, Chao Nonlinear weighted directed acyclic graph and a priori estimates for neural networks. (English) Zbl 1491.68184 SIAM J. Math. Data Sci. 4, No. 2, 694-720 (2022). MSC: 68T07 05C82 41A46 PDFBibTeX XMLCite \textit{Y. Li} et al., SIAM J. Math. Data Sci. 4, No. 2, 694--720 (2022; Zbl 1491.68184) Full Text: DOI arXiv
Malykhin, Yuri Matrix and tensor rigidity and \(L_p\)-approximation. (English) Zbl 07543655 J. Complexity 72, Article ID 101651, 13 p. (2022). MSC: 65-XX 41Axx 68Qxx 41-XX PDFBibTeX XMLCite \textit{Y. Malykhin}, J. Complexity 72, Article ID 101651, 13 p. (2022; Zbl 07543655) Full Text: DOI arXiv
Vasil’eva, A. A. Kolmogorov widths of intersections of finite-dimensional balls. (English) Zbl 1507.41011 J. Complexity 72, Article ID 101649, 15 p. (2022). MSC: 41A46 46B20 PDFBibTeX XMLCite \textit{A. A. Vasil'eva}, J. Complexity 72, Article ID 101649, 15 p. (2022; Zbl 1507.41011) Full Text: DOI
Vasil’eva, A. A. Bounds for the Kolmogorov widths of the Sobolev weighted classes with conditions on the zero and highest derivatives. (English) Zbl 1500.46029 Russ. J. Math. Phys. 29, No. 2, 249-279 (2022). MSC: 46E35 41A46 47B06 PDFBibTeX XMLCite \textit{A. A. Vasil'eva}, Russ. J. Math. Phys. 29, No. 2, 249--279 (2022; Zbl 1500.46029) Full Text: DOI