Voigtlaender, Felix

1. Optimal approximation of piecewise smooth functions using deep ReLU neural networks
   2017/09/15 by Petersen, Philipp, Voigtlaender, Felix · 13 citations
   #41A10 #41A25 #41A46 #68T05 #82C32 #FOS: Computer and information sciences #FOS: Mathematics #Functional Analysis (math.FA) #Machine Learning (cs.LG) #Machine Learning (stat.ML)
2. Topological properties of the set of functions generated by neural\n networks of fixed size
   2018/06/21 by Philipp Petersen, Mones Raslan, Petersen, Philipp +3 · 5 citations
   Computer Science · #52A30 #54H99 #68T05 #FOS: Mathematics #Functional Analysis (math.FA) #General Topology (math.GN) #Machine Learning and ELM #Neural Networks and Applications #Topological and Geometric Data Analysis
3. Approximation spaces of deep neural networks
   2019/05/03 by Gribonval, Rémi, Kutyniok, Gitta, Nielsen, Morten +1 · 5 citations
   #FOS: Computer and information sciences #FOS: Mathematics #Functional Analysis (math.FA) #Machine Learning (stat.ML) #Neural and Evolutionary Computing (cs.NE)
4. L^p sampling numbers for the Fourier-analytic Barron space
   2022/08/16 by Felix Voigtlaender, Voigtlaender, Felix · 3 citations
   Medicine · Engineering · Earth and Planetary Sciences · #Medical Imaging Techniques and Applications #Sparse and Compressive Sensing Techniques #Seismic Imaging and Inversion Techniques
5. A general version of Price's theorem
   2017/10/10 by Voigtlaender, Felix · 2 citations
   #60G15 #62H20 #FOS: Mathematics #Probability (math.PR)
6. Neural network approximation and estimation of classifiers with classification boundary in a Barron class
   2020/11/18 by Caragea, Andrei, Petersen, Philipp, Voigtlaender, Felix · 2 citations
   #41A25 #41A46 #42B35 #46E15 #68T07 #FOS: Computer and information sciences #FOS: Mathematics #Functional Analysis (math.FA) #Machine Learning (stat.ML)
7. Proof of the Theory-to-Practice Gap in Deep Learning via Sampling Complexity bounds for Neural Network Approximation Spaces
   2021/04/06 by Grohs, Philipp, Voigtlaender, Felix · 2 citations
   #41A25 #41A46 #41A65 #65Y20 #68T05 #68T07 #FOS: Computer and information sciences #FOS: Mathematics #Functional Analysis (math.FA) #Machine Learning (cs.LG)
8. Wavelet Coorbit Spaces viewed as Decomposition Spaces
   2014/04/16 by Führ, Hartmut, Voigtlaender, Felix · 2 citations
   #42B35 #42C40 #46F05 #FOS: Mathematics #Functional Analysis (math.FA)
9. Sampling numbers of smoothness classes via ℓ¹-minimization
   2022/12/01 by Jahn, Thomas, Ullrich, Tino, Voigtlaender, Felix · 2 citations
   #FOS: Mathematics #Numerical Analysis (math.NA)
10. The universal approximation theorem for complex-valued neural networks
    2020/12/06 by Felix Voigtlaender, Voigtlaender, Felix · 1 citation
    Materials Science · Computer Science · #Machine Learning in Materials Science #Stochastic Gradient Optimization Techniques #Machine Learning and Algorithms
11. Coorbit spaces associated to quasi-Banach function spaces and their molecular decomposition
    2022/03/15 by Jordy Timo van Velthoven, van Velthoven, Jordy Timo, Felix Voigtlaender +1 · 1 citation
    Medicine · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Hidradenitis Suppurativa and Treatments #Neurosurgical Procedures and Complications
12. Optimal approximation using complex-valued neural networks
    2023/03/29 by Paul Geuchen, Geuchen, Paul, Felix Voigtlaender +1 · 1 citation
    Computer Science · Materials Science · #30E10 #31A30 #41A30 #41A63 #68T07 #FOS: Computer and information sciences #FOS: Mathematics #Functional Analysis (math.FA) #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning and Algorithms #Machine Learning in Materials Science #Neural Networks and Applications