Dahmen, Wolfgang; Wang, Min; Wang, Zhu Nonlinear reduced DNN models for state estimation. (English) Zbl 1492.65291 Commun. Comput. Phys. 32, No. 1, 1-40 (2022). MSC: 65N20 65N21 35J15 68T07 PDFBibTeX XMLCite \textit{W. Dahmen} et al., Commun. Comput. Phys. 32, No. 1, 1--40 (2022; Zbl 1492.65291) Full Text: DOI arXiv
Cohen, Albert; Dahmen, Wolfgang; Devore, Ronald; Nichols, James Reduced basis greedy selection using random training sets. (English) Zbl 1444.62113 ESAIM, Math. Model. Numer. Anal. 54, No. 5, 1509-1524 (2020). MSC: 62M45 65D05 65Y20 68Q32 68Q30 35B30 41A25 58D15 PDFBibTeX XMLCite \textit{A. Cohen} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 5, 1509--1524 (2020; Zbl 1444.62113) Full Text: DOI arXiv
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw Data assimilation in reduced modeling. (English) Zbl 06736493 SIAM/ASA J. Uncertain. Quantif. 5, 1-29 (2017). MSC: 62M45 65D05 68Q32 97N50 PDFBibTeX XMLCite \textit{P. Binev} et al., SIAM/ASA J. Uncertain. Quantif. 5, 1--29 (2017; Zbl 06736493) Full Text: DOI
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald Orthogonal matching pursuit under the restricted isometry property. (English) Zbl 1379.94014 Constr. Approx. 45, No. 1, 113-127 (2017). MSC: 94A12 94A15 68P30 41A46 15B52 PDFBibTeX XMLCite \textit{A. Cohen} et al., Constr. Approx. 45, No. 1, 113--127 (2017; Zbl 1379.94014) Full Text: DOI arXiv
Cohen, Albert (ed.); Dahmen, Wolfgang (ed.); Krick, Teresa (ed.) Preface. (English) Zbl 1354.00088 Found. Comput. Math. 16, No. 6, 1397-1399 (2016). MSC: 00B25 68-06 PDFBibTeX XMLCite \textit{A. Cohen} (ed.) et al., Found. Comput. Math. 16, No. 6, 1397--1399 (2016; Zbl 1354.00088) Full Text: DOI
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; Devore, Ronald Classification algorithms using adaptive partitioning. (English) Zbl 1310.62074 Ann. Stat. 42, No. 6, 2141-2163 (2014). MSC: 62H30 62M45 65D05 68Q32 PDFBibTeX XMLCite \textit{P. Binev} et al., Ann. Stat. 42, No. 6, 2141--2163 (2014; Zbl 1310.62074) Full Text: DOI arXiv Euclid
Dahmen, Wolfgang; Marquardt, Wolfgang Data compression, process optimization, aerodynamics: a tour through the scales. (English) Zbl 1202.00009 Grötschel, Martin (ed.) et al., Production factor mathematics. Berlin: Springer (ISBN 978-3-642-11247-8/pbk; 978-3-642-11248-5/ebook). 39-72 (2010). MSC: 00A09 93A30 93-01 68-01 76-01 94-01 PDFBibTeX XMLCite \textit{W. Dahmen} and \textit{W. Marquardt}, in: Production factor mathematics. Berlin: Springer. 39--72 (2010; Zbl 1202.00009) Full Text: DOI
Cohen, Albert; Dahmen, Wolfgang; De Vore, Ronald Instance optimal decoding by thresholding in compressed sensing. (English) Zbl 1202.94117 Cifuentes, Patricio (ed.) et al., Harmonic analysis and partial differential equations. 8th international conference, El Escorial, Madrid, Spain, June 16–20, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4770-1/pbk). Contemporary Mathematics 505, 1-28 (2010). Reviewer: Todor Todorov (Veliko Tarnovo) MSC: 94A12 65C99 68P30 41A25 PDFBibTeX XMLCite \textit{A. Cohen} et al., Contemp. Math. 505, 1--28 (2010; Zbl 1202.94117)
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald Compressed sensing and best \(k\)-term approximation. (English) Zbl 1206.94008 J. Am. Math. Soc. 22, No. 1, 211-231 (2009). MSC: 94A12 15B52 94A15 68P30 41A46 PDFBibTeX XMLCite \textit{A. Cohen} et al., J. Am. Math. Soc. 22, No. 1, 211--231 (2009; Zbl 1206.94008) Full Text: DOI
Barron, Andrew R.; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald A. Approximation and learning by greedy algorithms. (English) Zbl 1138.62019 Ann. Stat. 36, No. 1, 64-94 (2008). MSC: 62G08 68T05 41A46 41A63 46N30 65C60 PDFBibTeX XMLCite \textit{A. R. Barron} et al., Ann. Stat. 36, No. 1, 64--94 (2008; Zbl 1138.62019) Full Text: DOI arXiv Euclid
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald Universal piecewise polynomial estimators for machine learning. (English) Zbl 1131.65006 Chenin, Patrick (ed.) et al., Curve and surface design. Avignon 2006. Proceedings 6th international conference on curves and surfaces, Avignon, France, June 29 – July 5, 2006. Brentwood: Nashboro Press (ISBN 978-0-9728482-7-5/hbk). Modern Methods in Mathematics, 48-77 (2007). MSC: 65C60 62J02 68T05 65T60 PDFBibTeX XMLCite \textit{P. Binev} et al., in: Curve and surface design. Avignon 2006. Proceedings 6th international conference on curves and surfaces, Avignon, France, June 29 -- July 5, 2006. Brentwood: Nashboro Press. 48--77 (2007; Zbl 1131.65006)
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald Universal algorithms for learning theory. II: Piecewise polynomial functions. (English) Zbl 1191.62067 Constr. Approx. 26, No. 2, 127-152 (2007). MSC: 62G08 62G20 68T05 PDFBibTeX XMLCite \textit{P. Binev} et al., Constr. Approx. 26, No. 2, 127--152 (2007; Zbl 1191.62067) Full Text: DOI
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald A.; Temlyakov, Vladimir N. Universal algorithms for learning theory. I: Piecewise constant functions. (English) Zbl 1191.62068 J. Mach. Learn. Res. 6, 1297-1321 (2005). MSC: 62G08 62G20 68T05 PDFBibTeX XMLCite \textit{P. Binev} et al., J. Mach. Learn. Res. 6, 1297--1321 (2005; Zbl 1191.62068) Full Text: Link
Dahmen, W.; Dikshit, H. P.; Ojha, A. On Wachspress quadrilateral patches. (English) Zbl 0951.68162 Comput. Aided Geom. Des. 17, No. 9, 879-890 (2000). MSC: 68U05 PDFBibTeX XMLCite \textit{W. Dahmen} et al., Comput. Aided Geom. Des. 17, No. 9, 879--890 (2000; Zbl 0951.68162) Full Text: DOI
Dahmen, Wolfgang; Schneider, Reinhold Composite wavelet bases for operator equations. (English) Zbl 0932.65148 Math. Comput. 68, No. 228, 1533-1567 (1999). Reviewer: G.Steidl (Mannheim) MSC: 65T60 68Q25 65Y20 65N38 65C40 PDFBibTeX XMLCite \textit{W. Dahmen} and \textit{R. Schneider}, Math. Comput. 68, No. 228, 1533--1567 (1999; Zbl 0932.65148) Full Text: DOI
Dahmen, Wolfgang; Kunoth, Angela; Schneider, Reinhold Operator equations, multiscale concepts and complexity. (English) Zbl 0856.65157 Renegar, James (ed.) et al., The mathematics of numerical analysis. 1995 AMS-SIAM summer seminar in applied mathematics, July 17–August 11, 1995, Park City, UT, USA. Providence, RI: American Mathematical Society. Lect. Appl. Math. 32, 225-261 (1996). MSC: 65Y20 68Q25 65F10 65F35 PDFBibTeX XMLCite \textit{W. Dahmen} et al., Lect. Appl. Math. 32, 225--261 (1996; Zbl 0856.65157)
Dahmen, W.; Micchelli, C. A.; Smith, P. W. Asymptotically optimal sampling schemes for periodic functions. (English) Zbl 0587.41014 Math. Proc. Camb. Philos. Soc. 99, 171-177 (1986). MSC: 41A25 41A60 42A99 68Q25 PDFBibTeX XMLCite \textit{W. Dahmen} et al., Math. Proc. Camb. Philos. Soc. 99, 171--177 (1986; Zbl 0587.41014) Full Text: DOI
Dahmen, Wolfgang; Dyn, Nira; Levin, David On the convergence rates of subdivision algorithms for box spline surfaces. (English) Zbl 0629.41008 Constructive Approximation 1, 305-322 (1985). Reviewer: J.Krč-Jediný MSC: 41A15 65D07 68U99 PDFBibTeX XMLCite \textit{W. Dahmen} et al., Constr. Approx. 1, 305--322 (1985; Zbl 0629.41008) Full Text: DOI