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  1. Simultaneous approximation of a smooth function and its derivatives by deep neural networks with piecewise-polynomial activations
    2022/06/20 by Belomestny, Denis, Naumov, Alexey, Puchkin, Nikita +1 · 6 citations
    #41A15 #41A25 #41A28 #68T07 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (stat.ML) #Numerical Analysis (math.NA) #Statistics Theory (math.ST)
  2. Solving and Learning Nonlinear PDEs with Gaussian Processes
    2021/03/24 by Yifan Chen, Bamdad Hosseini, Chen, Yifan +5 · 18 citations
    Computer Science · Decision Sciences · Physics and Astronomy · #34B15 #35R30 #41A15 #47B34 #60G15 #65M75 #65N35 #65N75 #FOS: Computer and information sciences #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Machine Learning (stat.ML) #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design
  3. Approximation Theory of Tree Tensor Networks: Tensorized Multivariate Functions
    2021/01/28 by Ali, Mazen, Nouy, Anthony · 2 citations
    #41A10 (primary) #41A15 #41A65 #42C40 #65D99 (secondary) #68T05 #FOS: Computer and information sciences #FOS: Mathematics #Functional Analysis (math.FA) #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
  4. Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters
    2019/10/15 by Cools, Ronald, Kuo, Frances Y., Nuyens, Dirk +1 · 2 citations
    #41A10 #41A15 #65D30 #65D32 #65T40 #FOS: Mathematics #Numerical Analysis (math.NA)
  5. Native Banach spaces for splines and variational inverse problems
    2019/04/24 by Unser, Michael, Fageot, Julien · 5 citations
    #41A15 #46B10 #46B20 #49N45 #65D07 #FOS: Computer and information sciences #FOS: Mathematics #Functional Analysis (math.FA) #Machine Learning (stat.ML) #Optimization and Control (math.OC)
  6. Linear multiscale transforms based on even-reversible subdivision operators
    2017/10/30 by Nira Dyn, Dyn, Nira, Xiaosheng Zhuang +1 · 1 citation
    Engineering · #41A15 #42C40 #93C30 #93C55 #93C95 #94A12 #Advanced Numerical Analysis Techniques #Composite Material Mechanics #FOS: Mathematics #Numerical Analysis (math.NA)
  7. Approximation by Combinations of ReLU and Squared ReLU Ridge Functions\n with \ℓ1 and \ℓ0 Controls
    2016/07/26 by Jason M. Klusowski, Klusowski, Jason M., Andrew R. Barron +1 · 9 citations
    Computer Science · Decision Sciences · Engineering · #41A15 #62M45 #FOS: Computer and information sciences #FOS: Mathematics #Image and Signal Denoising Methods #Machine Learning (stat.ML) #Probabilistic and Robust Engineering Design #Sparse and Compressive Sensing Techniques #Statistics Theory (math.ST) #Stochastic Gradient Optimization Techniques
  8. A Short Note on the Comparison of Interpolation Widths, Entropy Numbers, and Kolmogorov Widths
    2016/06/17 by Steinwart, Ingo · 1 citation
    #41A15 #41A30 #41A45 #41A46 #46E35 #FOS: Mathematics #Functional Analysis (math.FA) #Numerical Analysis (math.NA)
  9. Bayesian Numerical Homogenization
    2014/06/25 by Owhadi, Houman · 5 citations
    #34E13 #41A15 #60H30 #62C10 #FOS: Mathematics #Numerical Analysis (math.NA) #Statistics Theory (math.ST)
  10. Exact asymptotics of the optimal Lp-error of asymmetric linear spline approximation
    2013/11/28 by Babenko, Vladyslav, Babenko, Yuliya, Parfinovych, Nataliya +1 · 1 citation
    #41A15 #FOS: Mathematics #Numerical Analysis (math.NA)
  11. Euler-Frobenius numbers and rounding
    2013/05/15 by Janson, Svante · 1 citation
    #05A15 #11B68 #41A15 #60C05 #60E05 #60F05 #Combinatorics (math.CO) #FOS: Mathematics #Probability (math.PR)
  12. Combinatorics and geometry of power ideals
    2008/09/12 by Ardila, Federico, Postnikov, Alexander · 1 citation
    #05A15 #05B35 #13P99 #41A15 #52C35 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
  13. Some recent trends from research mathematics and their connections to teaching: Case studies inspired by parallel developments in science and technology
    2006/09/07 by Jorgensen, Palle E. T. · 1 citation
    #41-01 #41A15 #42-01 #42A16 #42A65 #42C20 #43A65 #46-01 #46L55 #47-01 #47C15 #60-01 #60J15 #94-01 #94A11 #FOS: Mathematics #History and Overview (math.HO)
  14. The algebra of the box spline
    2006/02/01 by Corrado De Concini, Claudio Procesi, De Concini, C. +1 · 1 citation
    Computer Science · Engineering · Mathematics · #32S22 #41A15 #52B20 #52C35 #65-02 #Advanced Combinatorial Mathematics #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Numerical Analysis (math.NA) #Polynomial and algebraic computation