BibTeX records: Hrushikesh N. Mhaskar

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@article{DBLP:journals/corr/abs-2402-04348,
  author       = {Michael McKenna and
                  Hrushikesh N. Mhaskar and
                  Richard G. Spencer},
  title        = {Inversion of the Laplace Transform of Point Masses},
  journal      = {CoRR},
  volume       = {abs/2402.04348},
  year         = {2024},
  url          = {https://doi.org/10.48550/arXiv.2402.04348},
  doi          = {10.48550/ARXIV.2402.04348},
  eprinttype    = {arXiv},
  eprint       = {2402.04348},
  timestamp    = {Thu, 14 Mar 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2402-04348.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2402-12687,
  author       = {Hrushikesh N. Mhaskar and
                  Ryan O'Dowd},
  title        = {Learning on manifolds without manifold learning},
  journal      = {CoRR},
  volume       = {abs/2402.12687},
  year         = {2024},
  url          = {https://doi.org/10.48550/arXiv.2402.12687},
  doi          = {10.48550/ARXIV.2402.12687},
  eprinttype    = {arXiv},
  eprint       = {2402.12687},
  timestamp    = {Thu, 21 Mar 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2402-12687.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2302-00160,
  author       = {Hrushikesh Narhar Mhaskar and
                  Ryan O'Dowd},
  title        = {Local transfer learning from one data space to another},
  journal      = {CoRR},
  volume       = {abs/2302.00160},
  year         = {2023},
  url          = {https://doi.org/10.48550/arXiv.2302.00160},
  doi          = {10.48550/ARXIV.2302.00160},
  eprinttype    = {arXiv},
  eprint       = {2302.00160},
  timestamp    = {Tue, 16 Jan 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2302-00160.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2302-01475,
  author       = {Quoc Thong Le Gia and
                  Hrushikesh N. Mhaskar},
  title        = {Numerical solutions to an inverse problem for a non-linear Helmholtz
                  equation},
  journal      = {CoRR},
  volume       = {abs/2302.01475},
  year         = {2023},
  url          = {https://doi.org/10.48550/arXiv.2302.01475},
  doi          = {10.48550/ARXIV.2302.01475},
  eprinttype    = {arXiv},
  eprint       = {2302.01475},
  timestamp    = {Thu, 09 Feb 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2302-01475.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2303-00984,
  author       = {Katarina Doctor and
                  Tong Mao and
                  Hrushikesh N. Mhaskar},
  title        = {Encoding of data sets and algorithms},
  journal      = {CoRR},
  volume       = {abs/2303.00984},
  year         = {2023},
  url          = {https://doi.org/10.48550/arXiv.2303.00984},
  doi          = {10.48550/ARXIV.2303.00984},
  eprinttype    = {arXiv},
  eprint       = {2303.00984},
  timestamp    = {Mon, 06 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2303-00984.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2305-03890,
  author       = {Hrushikesh N. Mhaskar},
  title        = {Approximation by non-symmetric networks for cross-domain learning},
  journal      = {CoRR},
  volume       = {abs/2305.03890},
  year         = {2023},
  url          = {https://doi.org/10.48550/arXiv.2305.03890},
  doi          = {10.48550/ARXIV.2305.03890},
  eprinttype    = {arXiv},
  eprint       = {2305.03890},
  timestamp    = {Thu, 11 May 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2305-03890.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2308-03230,
  author       = {Hrushikesh N. Mhaskar and
                  Tong Mao},
  title        = {Tractability of approximation by general shallow networks},
  journal      = {CoRR},
  volume       = {abs/2308.03230},
  year         = {2023},
  url          = {https://doi.org/10.48550/arXiv.2308.03230},
  doi          = {10.48550/ARXIV.2308.03230},
  eprinttype    = {arXiv},
  eprint       = {2308.03230},
  timestamp    = {Mon, 21 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2308-03230.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nn/MasonMG22,
  author       = {Eric Mason and
                  Hrushikesh N. Mhaskar and
                  Adam Guo},
  title        = {A manifold learning approach for gesture recognition from micro-Doppler
                  radar measurements},
  journal      = {Neural Networks},
  volume       = {152},
  pages        = {353--369},
  year         = {2022},
  url          = {https://doi.org/10.1016/j.neunet.2022.04.024},
  doi          = {10.1016/J.NEUNET.2022.04.024},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nn/MasonMG22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tnn/HanMC22,
  author       = {Ningning Han and
                  Hrushikesh N. Mhaskar and
                  Charles K. Chui},
  title        = {Theory-Inspired Deep Network for Instantaneous-Frequency Extraction
                  and Subsignals Recovery From Discrete Blind-Source Data},
  journal      = {{IEEE} Trans. Neural Networks Learn. Syst.},
  volume       = {33},
  number       = {8},
  pages        = {3437--3447},
  year         = {2022},
  url          = {https://doi.org/10.1109/TNNLS.2021.3052966},
  doi          = {10.1109/TNNLS.2021.3052966},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tnn/HanMC22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2202-06392,
  author       = {Hrushikesh N. Mhaskar},
  title        = {Local approximation of operators},
  journal      = {CoRR},
  volume       = {abs/2202.06392},
  year         = {2022},
  url          = {https://arxiv.org/abs/2202.06392},
  eprinttype    = {arXiv},
  eprint       = {2202.06392},
  timestamp    = {Fri, 18 Feb 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2202-06392.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fams/MhaskarPW21,
  author       = {Hrushikesh N. Mhaskar and
                  Sergei V. Pereverzyev and
                  Maria D. van der Walt},
  title        = {A Function Approximation Approach to the Prediction of Blood Glucose
                  Levels},
  journal      = {Frontiers Appl. Math. Stat.},
  volume       = {7},
  pages        = {707884},
  year         = {2021},
  url          = {https://doi.org/10.3389/fams.2021.707884},
  doi          = {10.3389/FAMS.2021.707884},
  timestamp    = {Sun, 02 Oct 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/fams/MhaskarPW21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fams/DasMC21,
  author       = {Srinjoy Das and
                  Hrushikesh N. Mhaskar and
                  Alexander Cloninger},
  title        = {Kernel Distance Measures for Time Series, Random Fields and Other
                  Structured Data},
  journal      = {Frontiers Appl. Math. Stat.},
  volume       = {7},
  pages        = {787455},
  year         = {2021},
  url          = {https://doi.org/10.3389/fams.2021.787455},
  doi          = {10.3389/FAMS.2021.787455},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/fams/DasMC21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2105-05893,
  author       = {Hrushikesh N. Mhaskar and
                  Sergei V. Pereverzyev and
                  Maria D. van der Walt},
  title        = {A function approximation approach to the prediction of blood glucose
                  levels},
  journal      = {CoRR},
  volume       = {abs/2105.05893},
  year         = {2021},
  url          = {https://arxiv.org/abs/2105.05893},
  eprinttype    = {arXiv},
  eprint       = {2105.05893},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2105-05893.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2109-14752,
  author       = {Srinjoy Das and
                  Hrushikesh N. Mhaskar and
                  Alexander Cloninger},
  title        = {Kernel distance measures for time series, random fields and other
                  structured data},
  journal      = {CoRR},
  volume       = {abs/2109.14752},
  year         = {2021},
  url          = {https://arxiv.org/abs/2109.14752},
  eprinttype    = {arXiv},
  eprint       = {2109.14752},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2109-14752.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2110-01670,
  author       = {Eric Mason and
                  Hrushikesh N. Mhaskar and
                  Adam Guo},
  title        = {A manifold learning approach for gesture identification from micro-Doppler
                  radar measurements},
  journal      = {CoRR},
  volume       = {abs/2110.01670},
  year         = {2021},
  url          = {https://arxiv.org/abs/2110.01670},
  eprinttype    = {arXiv},
  eprint       = {2110.01670},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2110-01670.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fams/Mhaskar20,
  author       = {Hrushikesh N. Mhaskar},
  title        = {Kernel-Based Analysis of Massive Data},
  journal      = {Frontiers Appl. Math. Stat.},
  volume       = {6},
  pages        = {30},
  year         = {2020},
  url          = {https://doi.org/10.3389/fams.2020.00030},
  doi          = {10.3389/FAMS.2020.00030},
  timestamp    = {Mon, 06 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/fams/Mhaskar20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fams/MhaskarCC20,
  author       = {Hrushikesh N. Mhaskar and
                  Xiuyuan Cheng and
                  Alexander Cloninger},
  title        = {A Witness Function Based Construction of Discriminative Models Using
                  Hermite Polynomials},
  journal      = {Frontiers Appl. Math. Stat.},
  volume       = {6},
  pages        = {31},
  year         = {2020},
  url          = {https://doi.org/10.3389/fams.2020.00031},
  doi          = {10.3389/FAMS.2020.00031},
  timestamp    = {Mon, 06 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/fams/MhaskarCC20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nn/MhaskarP20,
  author       = {Hrushikesh N. Mhaskar and
                  Tomaso A. Poggio},
  title        = {An analysis of training and generalization errors in shallow and deep
                  networks},
  journal      = {Neural Networks},
  volume       = {121},
  pages        = {229--241},
  year         = {2020},
  url          = {https://doi.org/10.1016/j.neunet.2019.08.028},
  doi          = {10.1016/J.NEUNET.2019.08.028},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/nn/MhaskarP20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nn/Mhaskar20,
  author       = {Hrushikesh N. Mhaskar},
  title        = {Dimension independent bounds for general shallow networks},
  journal      = {Neural Networks},
  volume       = {123},
  pages        = {142--152},
  year         = {2020},
  url          = {https://doi.org/10.1016/j.neunet.2019.11.006},
  doi          = {10.1016/J.NEUNET.2019.11.006},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/nn/Mhaskar20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nn/Mhaskar20a,
  author       = {Hrushikesh N. Mhaskar},
  title        = {A direct approach for function approximation on data defined manifolds},
  journal      = {Neural Networks},
  volume       = {132},
  pages        = {253--268},
  year         = {2020},
  url          = {https://doi.org/10.1016/j.neunet.2020.08.018},
  doi          = {10.1016/J.NEUNET.2020.08.018},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/nn/Mhaskar20a.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2001-12006,
  author       = {Charles K. Chui and
                  Ningning Han and
                  Hrushikesh N. Mhaskar},
  title        = {Theory inspired deep network for instantaneous-frequency extraction
                  and signal components recovery from discrete blind-source data},
  journal      = {CoRR},
  volume       = {abs/2001.12006},
  year         = {2020},
  url          = {https://arxiv.org/abs/2001.12006},
  eprinttype    = {arXiv},
  eprint       = {2001.12006},
  timestamp    = {Mon, 03 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2001-12006.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2003-13226,
  author       = {Hrushikesh N. Mhaskar},
  title        = {Kernel based analysis of massive data},
  journal      = {CoRR},
  volume       = {abs/2003.13226},
  year         = {2020},
  url          = {https://arxiv.org/abs/2003.13226},
  eprinttype    = {arXiv},
  eprint       = {2003.13226},
  timestamp    = {Wed, 01 Apr 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2003-13226.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2008-01245,
  author       = {Alexander Cloninger and
                  Hrushikesh N. Mhaskar},
  title        = {Cautious Active Clustering},
  journal      = {CoRR},
  volume       = {abs/2008.01245},
  year         = {2020},
  url          = {https://arxiv.org/abs/2008.01245},
  eprinttype    = {arXiv},
  eprint       = {2008.01245},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2008-01245.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2010-04227,
  author       = {Alex Cloninger and
                  Hrushikesh N. Mhaskar},
  title        = {A low discrepancy sequence on graphs},
  journal      = {CoRR},
  volume       = {abs/2010.04227},
  year         = {2020},
  url          = {https://arxiv.org/abs/2010.04227},
  eprinttype    = {arXiv},
  eprint       = {2010.04227},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2010-04227.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fams/MhaskarPSS19,
  author       = {Hrushikesh N. Mhaskar and
                  Sergei V. Pereverzyev and
                  Vasyl Yu. Semenov and
                  Evgeniya V. Semenova},
  title        = {Data Based Construction of Kernels for Semi-Supervised Learning With
                  Less Labels},
  journal      = {Frontiers Appl. Math. Stat.},
  volume       = {5},
  pages        = {21},
  year         = {2019},
  url          = {https://doi.org/10.3389/fams.2019.00021},
  doi          = {10.3389/FAMS.2019.00021},
  timestamp    = {Sun, 02 Oct 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/fams/MhaskarPSS19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jc/Mhaskar19,
  author       = {Hrushikesh N. Mhaskar},
  title        = {Function approximation with zonal function networks with activation
                  functions analogous to the rectified linear unit functions},
  journal      = {J. Complex.},
  volume       = {51},
  pages        = {1--19},
  year         = {2019},
  url          = {https://doi.org/10.1016/j.jco.2018.09.002},
  doi          = {10.1016/J.JCO.2018.09.002},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jc/Mhaskar19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1901-02975,
  author       = {Hrushikesh N. Mhaskar and
                  Alex Cloninger and
                  Xiuyuan Cheng},
  title        = {A witness function based construction of discriminative models using
                  Hermite polynomials},
  journal      = {CoRR},
  volume       = {abs/1901.02975},
  year         = {2019},
  url          = {http://arxiv.org/abs/1901.02975},
  eprinttype    = {arXiv},
  eprint       = {1901.02975},
  timestamp    = {Fri, 01 Feb 2019 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1901-02975.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1905-12882,
  author       = {Hrushikesh N. Mhaskar and
                  Tomaso A. Poggio},
  title        = {Function approximation by deep networks},
  journal      = {CoRR},
  volume       = {abs/1905.12882},
  year         = {2019},
  url          = {http://arxiv.org/abs/1905.12882},
  eprinttype    = {arXiv},
  eprint       = {1905.12882},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1905-12882.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1907-04895,
  author       = {Hrushikesh N. Mhaskar},
  title        = {Super-resolution meets machine learning: approximation of measures},
  journal      = {CoRR},
  volume       = {abs/1907.04895},
  year         = {2019},
  url          = {http://arxiv.org/abs/1907.04895},
  eprinttype    = {arXiv},
  eprint       = {1907.04895},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1907-04895.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1908-00156,
  author       = {Hrushikesh N. Mhaskar},
  title        = {Deep Gaussian networks for function approximation on data defined
                  manifolds},
  journal      = {CoRR},
  volume       = {abs/1908.00156},
  year         = {2019},
  url          = {http://arxiv.org/abs/1908.00156},
  eprinttype    = {arXiv},
  eprint       = {1908.00156},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1908-00156.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1908-09880,
  author       = {Hrushikesh N. Mhaskar},
  title        = {Dimension independent bounds for general shallow networks},
  journal      = {CoRR},
  volume       = {abs/1908.09880},
  year         = {2019},
  url          = {http://arxiv.org/abs/1908.09880},
  eprinttype    = {arXiv},
  eprint       = {1908.09880},
  timestamp    = {Thu, 29 Aug 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1908-09880.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fams/ChuiM18,
  author       = {Charles K. Chui and
                  Hrushikesh N. Mhaskar},
  title        = {Deep Nets for Local Manifold Learning},
  journal      = {Frontiers Appl. Math. Stat.},
  volume       = {4},
  pages        = {12},
  year         = {2018},
  url          = {https://doi.org/10.3389/fams.2018.00012},
  doi          = {10.3389/FAMS.2018.00012},
  timestamp    = {Tue, 07 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/fams/ChuiM18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ChandrasekaranG18,
  author       = {Shivkumar Chandrasekaran and
                  C. H. Gorman and
                  Hrushikesh Narhar Mhaskar},
  title        = {Minimum Sobolev norm interpolation of scattered derivative data},
  journal      = {J. Comput. Phys.},
  volume       = {365},
  pages        = {149--172},
  year         = {2018},
  url          = {https://doi.org/10.1016/j.jcp.2018.03.014},
  doi          = {10.1016/J.JCP.2018.03.014},
  timestamp    = {Wed, 19 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jcphy/ChandrasekaranG18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1801-00173,
  author       = {Tomaso A. Poggio and
                  Kenji Kawaguchi and
                  Qianli Liao and
                  Brando Miranda and
                  Lorenzo Rosasco and
                  Xavier Boix and
                  Jack Hidary and
                  Hrushikesh N. Mhaskar},
  title        = {Theory of Deep Learning {III:} explaining the non-overfitting puzzle},
  journal      = {CoRR},
  volume       = {abs/1801.00173},
  year         = {2018},
  url          = {http://arxiv.org/abs/1801.00173},
  eprinttype    = {arXiv},
  eprint       = {1801.00173},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1801-00173.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1802-06266,
  author       = {Hrushikesh N. Mhaskar and
                  Tomaso A. Poggio},
  title        = {An analysis of training and generalization errors in shallow and deep
                  networks},
  journal      = {CoRR},
  volume       = {abs/1802.06266},
  year         = {2018},
  url          = {http://arxiv.org/abs/1802.06266},
  eprinttype    = {arXiv},
  eprint       = {1802.06266},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1802-06266.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1806-02003,
  author       = {Abhejit Rajagopal and
                  Shivkumar Chandrasekaran and
                  Hrushikesh Narhar Mhaskar},
  title        = {Deep Algorithms: designs for networks},
  journal      = {CoRR},
  volume       = {abs/1806.02003},
  year         = {2018},
  url          = {http://arxiv.org/abs/1806.02003},
  eprinttype    = {arXiv},
  eprint       = {1806.02003},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1806-02003.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fams/MhaskarPW17,
  author       = {Hrushikesh N. Mhaskar and
                  Sergei V. Pereverzyev and
                  Maria D. van der Walt},
  title        = {A Deep Learning Approach to Diabetic Blood Glucose Prediction},
  journal      = {Frontiers Appl. Math. Stat.},
  volume       = {3},
  pages        = {14},
  year         = {2017},
  url          = {https://doi.org/10.3389/fams.2017.00014},
  doi          = {10.3389/FAMS.2017.00014},
  timestamp    = {Sun, 02 Oct 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/fams/MhaskarPW17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijautcomp/PoggioMRML17,
  author       = {Tomaso A. Poggio and
                  Hrushikesh N. Mhaskar and
                  Lorenzo Rosasco and
                  Brando Miranda and
                  Qianli Liao},
  title        = {Why and when can deep-but not shallow-networks avoid the curse of
                  dimensionality: {A} review},
  journal      = {Int. J. Autom. Comput.},
  volume       = {14},
  number       = {5},
  pages        = {503--519},
  year         = {2017},
  url          = {https://doi.org/10.1007/s11633-017-1054-2},
  doi          = {10.1007/S11633-017-1054-2},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/ijautcomp/PoggioMRML17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/aaai/MhaskarLP17,
  author       = {Hrushikesh N. Mhaskar and
                  Qianli Liao and
                  Tomaso A. Poggio},
  editor       = {Satinder Singh and
                  Shaul Markovitch},
  title        = {When and Why Are Deep Networks Better Than Shallow Ones?},
  booktitle    = {Proceedings of the Thirty-First {AAAI} Conference on Artificial Intelligence,
                  February 4-9, 2017, San Francisco, California, {USA}},
  pages        = {2343--2349},
  publisher    = {{AAAI} Press},
  year         = {2017},
  url          = {https://doi.org/10.1609/aaai.v31i1.10913},
  doi          = {10.1609/AAAI.V31I1.10913},
  timestamp    = {Mon, 04 Sep 2023 14:40:32 +0200},
  biburl       = {https://dblp.org/rec/conf/aaai/MhaskarLP17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/MhaskarPW17,
  author       = {Hrushikesh N. Mhaskar and
                  Sergei V. Pereverzyev and
                  Maria D. van der Walt},
  title        = {A deep learning approach to diabetic blood glucose prediction},
  journal      = {CoRR},
  volume       = {abs/1707.05828},
  year         = {2017},
  url          = {http://arxiv.org/abs/1707.05828},
  eprinttype    = {arXiv},
  eprint       = {1707.05828},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/MhaskarPW17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/ChuiM17,
  author       = {Charles K. Chui and
                  Hrushikesh Narhar Mhaskar},
  title        = {A Fourier-invariant method for locating point-masses and computing
                  their attributes},
  journal      = {CoRR},
  volume       = {abs/1707.09319},
  year         = {2017},
  url          = {http://arxiv.org/abs/1707.09319},
  eprinttype    = {arXiv},
  eprint       = {1707.09319},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/ChuiM17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/ChuiM17a,
  author       = {Charles K. Chui and
                  Hrushikesh Narhar Mhaskar},
  title        = {A unified method for super-resolution recovery and real exponential-sum
                  separation},
  journal      = {CoRR},
  volume       = {abs/1707.09428},
  year         = {2017},
  url          = {http://arxiv.org/abs/1707.09428},
  eprinttype    = {arXiv},
  eprint       = {1707.09428},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/ChuiM17a.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1709-08174,
  author       = {Hrushikesh N. Mhaskar},
  title        = {Function approximation with ReLU-like zonal function networks},
  journal      = {CoRR},
  volume       = {abs/1709.08174},
  year         = {2017},
  url          = {http://arxiv.org/abs/1709.08174},
  eprinttype    = {arXiv},
  eprint       = {1709.08174},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1709-08174.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/MhaskarLP16,
  author       = {Hrushikesh N. Mhaskar and
                  Qianli Liao and
                  Tomaso A. Poggio},
  title        = {Learning Real and Boolean Functions: When Is Deep Better Than Shallow},
  journal      = {CoRR},
  volume       = {abs/1603.00988},
  year         = {2016},
  url          = {http://arxiv.org/abs/1603.00988},
  eprinttype    = {arXiv},
  eprint       = {1603.00988},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/MhaskarLP16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/ChuiM16,
  author       = {Charles K. Chui and
                  Hrushikesh Narhar Mhaskar},
  title        = {Deep nets for local manifold learning},
  journal      = {CoRR},
  volume       = {abs/1607.07110},
  year         = {2016},
  url          = {http://arxiv.org/abs/1607.07110},
  eprinttype    = {arXiv},
  eprint       = {1607.07110},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/ChuiM16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/MhaskarP16,
  author       = {Hrushikesh N. Mhaskar and
                  Tomaso A. Poggio},
  title        = {Deep vs. shallow networks : An approximation theory perspective},
  journal      = {CoRR},
  volume       = {abs/1608.03287},
  year         = {2016},
  url          = {http://arxiv.org/abs/1608.03287},
  eprinttype    = {arXiv},
  eprint       = {1608.03287},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/MhaskarP16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/PoggioMRML16,
  author       = {Tomaso A. Poggio and
                  Hrushikesh N. Mhaskar and
                  Lorenzo Rosasco and
                  Brando Miranda and
                  Qianli Liao},
  title        = {Why and When Can Deep - but Not Shallow - Networks Avoid the Curse
                  of Dimensionality: a Review},
  journal      = {CoRR},
  volume       = {abs/1611.00740},
  year         = {2016},
  url          = {http://arxiv.org/abs/1611.00740},
  eprinttype    = {arXiv},
  eprint       = {1611.00740},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/PoggioMRML16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ChandrasekaranM15,
  author       = {Shivkumar Chandrasekaran and
                  Hrushikesh Narhar Mhaskar},
  title        = {A minimum Sobolev norm technique for the numerical discretization
                  of PDEs},
  journal      = {J. Comput. Phys.},
  volume       = {299},
  pages        = {649--666},
  year         = {2015},
  url          = {https://doi.org/10.1016/j.jcp.2015.07.025},
  doi          = {10.1016/J.JCP.2015.07.025},
  timestamp    = {Wed, 19 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jcphy/ChandrasekaranM15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/ChuiM14,
  author       = {Charles K. Chui and
                  Hrushikesh Narhar Mhaskar},
  title        = {Smooth function extension based on high dimensional unstructured data},
  journal      = {Math. Comput.},
  volume       = {83},
  number       = {290},
  pages        = {2865--2891},
  year         = {2014},
  url          = {https://doi.org/10.1090/S0025-5718-2014-02819-6},
  doi          = {10.1090/S0025-5718-2014-02819-6},
  timestamp    = {Wed, 17 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/moc/ChuiM14.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/MhaskarNP13,
  author       = {Hrushikesh Narhar Mhaskar and
                  Valeriya Naumova and
                  Sergei V. Pereverzyev},
  title        = {Filtered Legendre expansion method for numerical differentiation at
                  the boundary point with application to blood glucose predictions},
  journal      = {Appl. Math. Comput.},
  volume       = {224},
  pages        = {835--847},
  year         = {2013},
  url          = {https://doi.org/10.1016/j.amc.2013.09.015},
  doi          = {10.1016/J.AMC.2013.09.015},
  timestamp    = {Sun, 02 Oct 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/amc/MhaskarNP13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ChandrasekaranJM13,
  author       = {Shivkumar Chandrasekaran and
                  Karthik Jayaraman Jayaraman and
                  Hrushikesh Narhar Mhaskar},
  title        = {Minimum Sobolev norm interpolation with trigonometric polynomials
                  on the torus},
  journal      = {J. Comput. Phys.},
  volume       = {249},
  pages        = {96--112},
  year         = {2013},
  url          = {https://doi.org/10.1016/j.jcp.2013.03.041},
  doi          = {10.1016/J.JCP.2013.03.041},
  timestamp    = {Wed, 19 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jcphy/ChandrasekaranJM13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/RaghuramCMGM12,
  author       = {Karthik Jayaraman Raghuram and
                  Shivkumar Chandrasekaran and
                  Joseph Moffitt and
                  Ming Gu and
                  Hrushikesh Narhar Mhaskar},
  title        = {Higher order numerical discretizations for exterior and biharmonic
                  type PDEs},
  journal      = {J. Comput. Appl. Math.},
  volume       = {236},
  number       = {18},
  pages        = {4762--4774},
  year         = {2012},
  url          = {https://doi.org/10.1016/j.cam.2012.02.025},
  doi          = {10.1016/J.CAM.2012.02.025},
  timestamp    = {Tue, 16 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jcam/RaghuramCMGM12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcb/EhlerFM12,
  author       = {Martin Ehler and
                  Frank Filbir and
                  Hrushikesh Narhar Mhaskar},
  title        = {Locally Learning Biomedical Data Using Diffusion Frames},
  journal      = {J. Comput. Biol.},
  volume       = {19},
  number       = {11},
  pages        = {1251--1264},
  year         = {2012},
  url          = {https://doi.org/10.1089/cmb.2012.0187},
  doi          = {10.1089/CMB.2012.0187},
  timestamp    = {Thu, 12 Mar 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jcb/EhlerFM12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jc/FilbirM11,
  author       = {Frank Filbir and
                  Hrushikesh Narhar Mhaskar},
  title        = {Marcinkiewicz-Zygmund measures on manifolds},
  journal      = {J. Complex.},
  volume       = {27},
  number       = {6},
  pages        = {568--596},
  year         = {2011},
  url          = {https://doi.org/10.1016/j.jco.2011.03.002},
  doi          = {10.1016/J.JCO.2011.03.002},
  timestamp    = {Tue, 16 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jc/FilbirM11.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nn/Mhaskar11,
  author       = {Hrushikesh N. Mhaskar},
  title        = {A generalized diffusion frame for parsimonious representation of functions
                  on data defined manifolds},
  journal      = {Neural Networks},
  volume       = {24},
  number       = {4},
  pages        = {345--359},
  year         = {2011},
  url          = {https://doi.org/10.1016/j.neunet.2010.12.007},
  doi          = {10.1016/J.NEUNET.2010.12.007},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/nn/Mhaskar11.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:journals/procedia/ChandrasekaranJGMM11,
  author       = {Shiv Chandrasekaran and
                  K. R. Jayaraman and
                  Ming Gu and
                  Hrushikesh Narhar Mhaskar and
                  J. Mofftt},
  editor       = {Mitsuhisa Sato and
                  Satoshi Matsuoka and
                  Peter M. A. Sloot and
                  G. Dick van Albada and
                  Jack J. Dongarra},
  title        = {Higher Order Numerical Discretization Methods with Sobolev Norm Minimization},
  booktitle    = {Proceedings of the International Conference on Computational Science,
                  {ICCS} 2011, Nanyang Technological University, Singapore, 1-3 June,
                  2011},
  series       = {Procedia Computer Science},
  volume       = {4},
  pages        = {206--215},
  publisher    = {Elsevier},
  year         = {2011},
  url          = {https://doi.org/10.1016/j.procs.2011.04.022},
  doi          = {10.1016/J.PROCS.2011.04.022},
  timestamp    = {Thu, 08 Jul 2021 16:04:01 +0200},
  biburl       = {https://dblp.org/rec/journals/procedia/ChandrasekaranJGMM11.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/MhaskarNPW10,
  author       = {Hrushikesh Narhar Mhaskar and
                  Francis J. Narcowich and
                  J{\"{u}}rgen Prestin and
                  Joseph D. Ward},
  title        = {L\({}^{\mbox{p}}\) Bernstein estimates and approximation by spherical
                  basis functions},
  journal      = {Math. Comput.},
  volume       = {79},
  number       = {271},
  pages        = {1647--1679},
  year         = {2010},
  url          = {https://doi.org/10.1090/S0025-5718-09-02322-9},
  doi          = {10.1090/S0025-5718-09-02322-9},
  timestamp    = {Wed, 17 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/moc/MhaskarNPW10.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/ChuiM09,
  author       = {Charles K. Chui and
                  Hrushikesh Narhar Mhaskar},
  title        = {Preface part 1},
  journal      = {J. Approx. Theory},
  volume       = {158},
  number       = {1},
  pages        = {1--2},
  year         = {2009},
  url          = {https://doi.org/10.1016/j.jat.2009.02.009},
  doi          = {10.1016/J.JAT.2009.02.009},
  timestamp    = {Tue, 16 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jat/ChuiM09.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/ChuiM09a,
  author       = {Charles K. Chui and
                  Hrushikesh Narhar Mhaskar},
  title        = {Preface part 2},
  journal      = {J. Approx. Theory},
  volume       = {158},
  number       = {2},
  pages        = {143--144},
  year         = {2009},
  url          = {https://doi.org/10.1016/j.jat.2009.02.010},
  doi          = {10.1016/J.JAT.2009.02.010},
  timestamp    = {Tue, 16 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jat/ChuiM09a.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/ChuiM09b,
  author       = {Charles K. Chui and
                  Hrushikesh Narhar Mhaskar},
  title        = {Preface part 3},
  journal      = {J. Approx. Theory},
  volume       = {159},
  number       = {1},
  pages        = {1--2},
  year         = {2009},
  url          = {https://doi.org/10.1016/j.jat.2009.02.012},
  doi          = {10.1016/J.JAT.2009.02.012},
  timestamp    = {Tue, 16 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jat/ChuiM09b.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/ChuiM09c,
  author       = {Charles K. Chui and
                  Hrushikesh Narhar Mhaskar},
  title        = {Preface part 4},
  journal      = {J. Approx. Theory},
  volume       = {159},
  number       = {2},
  pages        = {165--166},
  year         = {2009},
  url          = {https://doi.org/10.1016/j.jat.2009.07.001},
  doi          = {10.1016/J.JAT.2009.07.001},
  timestamp    = {Tue, 16 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jat/ChuiM09c.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/FilbirMP09,
  author       = {Frank Filbir and
                  Hrushikesh Narhar Mhaskar and
                  J{\"{u}}rgen Prestin},
  title        = {On a filter for exponentially localized kernels based on Jacobi polynomials},
  journal      = {J. Approx. Theory},
  volume       = {160},
  number       = {1-2},
  pages        = {256--280},
  year         = {2009},
  url          = {https://doi.org/10.1016/j.jat.2009.01.004},
  doi          = {10.1016/J.JAT.2009.01.004},
  timestamp    = {Tue, 16 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jat/FilbirMP09.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-0909-5000,
  author       = {Hrushikesh N. Mhaskar},
  title        = {Eignets for function approximation on manifolds},
  journal      = {CoRR},
  volume       = {abs/0909.5000},
  year         = {2009},
  url          = {http://arxiv.org/abs/0909.5000},
  eprinttype    = {arXiv},
  eprint       = {0909.5000},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-0909-5000.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/GiaM08,
  author       = {Quoc Thong Le Gia and
                  Hrushikesh N. Mhaskar},
  title        = {Localized Linear Polynomial Operators and Quadrature Formulas on the
                  Sphere},
  journal      = {{SIAM} J. Numer. Anal.},
  volume       = {47},
  number       = {1},
  pages        = {440--466},
  year         = {2008},
  url          = {https://doi.org/10.1137/060678555},
  doi          = {10.1137/060678555},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/siamnum/GiaM08.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@book{DBLP:books/daglib/0022971,
  author       = {Narendra Kumar Govil and
                  Hrushikesh Narhar Mhaskar and
                  Ram N. Mohapatra and
                  Zuhair Nashed and
                  J{\'{o}}zsef Szabados},
  title        = {Frontiers in Interpolation and Approximation},
  series       = {Pure and applied mathematics},
  volume       = {282},
  publisher    = {Chapman {\&} Hall},
  year         = {2007},
  url          = {http://www.crcpress.com/product/isbn/9781584886365},
  isbn         = {978-1-58488-636-5},
  timestamp    = {Thu, 11 Jul 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/books/daglib/0022971.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jc/HesseMS07,
  author       = {Kerstin Hesse and
                  Hrushikesh N. Mhaskar and
                  Ian H. Sloan},
  title        = {Quadrature in Besov spaces on the Euclidean sphere},
  journal      = {J. Complex.},
  volume       = {23},
  number       = {4-6},
  pages        = {528--552},
  year         = {2007},
  url          = {https://doi.org/10.1016/j.jco.2006.10.004},
  doi          = {10.1016/J.JCO.2006.10.004},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jc/HesseMS07.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jc/Mhaskar06,
  author       = {Hrushikesh Narhar Mhaskar},
  title        = {Weighted quadrature formulas and approximation by zonal function networks
                  on the sphere},
  journal      = {J. Complex.},
  volume       = {22},
  number       = {3},
  pages        = {348--370},
  year         = {2006},
  url          = {https://doi.org/10.1016/j.jco.2005.10.003},
  doi          = {10.1016/J.JCO.2005.10.003},
  timestamp    = {Tue, 16 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jc/Mhaskar06.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/GiaM06,
  author       = {Quoc Thong Le Gia and
                  Hrushikesh N. Mhaskar},
  title        = {Polynomial operators and local approximation of solutions of pseudo-differential
                  equations on the sphere},
  journal      = {Numerische Mathematik},
  volume       = {103},
  number       = {2},
  pages        = {299--322},
  year         = {2006},
  url          = {https://doi.org/10.1007/s00211-006-0676-z},
  doi          = {10.1007/S00211-006-0676-Z},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/nm/GiaM06.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/GaneshM06,
  author       = {Mahadevan Ganesh and
                  Hrushikesh N. Mhaskar},
  title        = {Matrix-free Interpolation on the Sphere},
  journal      = {{SIAM} J. Numer. Anal.},
  volume       = {44},
  number       = {3},
  pages        = {1314--1331},
  year         = {2006},
  url          = {https://doi.org/10.1137/050624005},
  doi          = {10.1137/050624005},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/siamnum/GaneshM06.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/adcm/MhaskarNW04,
  author       = {Hrushikesh Narhar Mhaskar and
                  Francis J. Narcowich and
                  Joseph D. Ward},
  title        = {On the Representation of Band-Dominant Functions on the Sphere Using
                  Finitely Many Bits},
  journal      = {Adv. Comput. Math.},
  volume       = {21},
  number       = {1-2},
  pages        = {127--146},
  year         = {2004},
  url          = {https://doi.org/10.1023/B:ACOM.0000016434.97920.1f},
  doi          = {10.1023/B:ACOM.0000016434.97920.1F},
  timestamp    = {Sun, 28 May 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/adcm/MhaskarNW04.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/Mhaskar04,
  author       = {Hrushikesh Narhar Mhaskar},
  title        = {A tribute to G{\'{e}}za Freud},
  journal      = {J. Approx. Theory},
  volume       = {126},
  number       = {1},
  pages        = {1--15},
  year         = {2004},
  url          = {https://doi.org/10.1016/S0021-9045(03)00088-1},
  doi          = {10.1016/S0021-9045(03)00088-1},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jat/Mhaskar04.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jat/Mhaskar04a,
  author       = {Hrushikesh Narhar Mhaskar},
  title        = {Polynomial operators and local smoothness classes on the unit interval},
  journal      = {J. Approx. Theory},
  volume       = {131},
  number       = {2},
  pages        = {243--267},
  year         = {2004},
  url          = {https://doi.org/10.1016/j.jat.2004.10.002},
  doi          = {10.1016/J.JAT.2004.10.002},
  timestamp    = {Tue, 16 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jat/Mhaskar04a.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jc/Mhaskar04,
  author       = {Hrushikesh Narhar Mhaskar},
  title        = {On the tractability of multivariate integration and approximation
                  by neural networks},
  journal      = {J. Complex.},
  volume       = {20},
  number       = {4},
  pages        = {561--590},
  year         = {2004},
  url          = {https://doi.org/10.1016/j.jco.2003.11.004},
  doi          = {10.1016/J.JCO.2003.11.004},
  timestamp    = {Tue, 16 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jc/Mhaskar04.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jc/Mhaskar04a,
  author       = {Hrushikesh Narhar Mhaskar},
  title        = {Local quadrature formulas on the sphere},
  journal      = {J. Complex.},
  volume       = {20},
  number       = {5},
  pages        = {753--772},
  year         = {2004},
  url          = {https://doi.org/10.1016/j.jco.2003.06.005},
  doi          = {10.1016/J.JCO.2003.06.005},
  timestamp    = {Tue, 16 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jc/Mhaskar04a.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nn/Mhaskar04,
  author       = {Hrushikesh Narhar Mhaskar},
  title        = {When is approximation by Gaussian networks necessarily a linear process?},
  journal      = {Neural Networks},
  volume       = {17},
  number       = {7},
  pages        = {989--1001},
  year         = {2004},
  url          = {https://doi.org/10.1016/j.neunet.2004.04.001},
  doi          = {10.1016/J.NEUNET.2004.04.001},
  timestamp    = {Wed, 14 Nov 2018 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/nn/Mhaskar04.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nn/MhaskarNW03,
  author       = {Hrushikesh Narhar Mhaskar and
                  Francis J. Narcowich and
                  Joseph D. Ward},
  title        = {Zonal function network frames on the sphere},
  journal      = {Neural Networks},
  volume       = {16},
  number       = {2},
  pages        = {183--203},
  year         = {2003},
  url          = {https://doi.org/10.1016/S0893-6080(02)00216-2},
  doi          = {10.1016/S0893-6080(02)00216-2},
  timestamp    = {Wed, 14 Nov 2018 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/nn/MhaskarNW03.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jc/Mhaskar02,
  author       = {Hrushikesh Narhar Mhaskar},
  title        = {On the Representation of Band Limited Functions Using Finitely Many
                  Bits},
  journal      = {J. Complex.},
  volume       = {18},
  number       = {2},
  pages        = {449--478},
  year         = {2002},
  url          = {https://doi.org/10.1006/jcom.2001.0637},
  doi          = {10.1006/JCOM.2001.0637},
  timestamp    = {Tue, 16 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jc/Mhaskar02.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/MhaskarNW02,
  author       = {Hrushikesh Narhar Mhaskar and
                  Francis J. Narcowich and
                  Joseph D. Ward},
  title        = {Corrigendum to "Spherical Marcinkiewicz-Zygmund inequalities
                  and positive quadrature''},
  journal      = {Math. Comput.},
  volume       = {71},
  number       = {237},
  pages        = {453--454},
  year         = {2002},
  url          = {https://doi.org/10.1090/S0025-5718-01-01437-5},
  doi          = {10.1090/S0025-5718-01-01437-5},
  timestamp    = {Wed, 17 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/moc/MhaskarNW02.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/MhaskarNW01,
  author       = {Hrushikesh Narhar Mhaskar and
                  Francis J. Narcowich and
                  Joseph D. Ward},
  title        = {Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature},
  journal      = {Math. Comput.},
  volume       = {70},
  number       = {235},
  pages        = {1113--1130},
  year         = {2001},
  url          = {https://doi.org/10.1090/S0025-5718-00-01240-0},
  doi          = {10.1090/S0025-5718-00-01240-0},
  timestamp    = {Wed, 17 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/moc/MhaskarNW01.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/adcm/MhaskarP00,
  author       = {Hrushikesh Narhar Mhaskar and
                  J{\"{u}}rgen Prestin},
  title        = {On the detection of singularities of a periodic function},
  journal      = {Adv. Comput. Math.},
  volume       = {12},
  number       = {2-3},
  pages        = {95--131},
  year         = {2000},
  url          = {https://doi.org/10.1023/A:1018921319865},
  doi          = {10.1023/A:1018921319865},
  timestamp    = {Sun, 28 May 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/adcm/MhaskarP00.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/adcm/MhaskarNPW00,
  author       = {Hrushikesh Narhar Mhaskar and
                  Francis J. Narcowich and
                  J{\"{u}}rgen Prestin and
                  Joseph D. Ward},
  title        = {Polynomial frames on the sphere},
  journal      = {Adv. Comput. Math.},
  volume       = {13},
  number       = {4},
  pages        = {387--403},
  year         = {2000},
  url          = {https://doi.org/10.1023/A:1016639802349},
  doi          = {10.1023/A:1016639802349},
  timestamp    = {Sun, 28 May 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/adcm/MhaskarNPW00.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/adcm/MhaskarNW99,
  author       = {Hrushikesh Narhar Mhaskar and
                  Francis J. Narcowich and
                  Joseph D. Ward},
  title        = {Approximation properties of zonal function networks using scattered
                  data on the sphere},
  journal      = {Adv. Comput. Math.},
  volume       = {11},
  number       = {2-3},
  pages        = {121--137},
  year         = {1999},
  url          = {https://doi.org/10.1023/A:1018967708053},
  doi          = {10.1023/A:1018967708053},
  timestamp    = {Sun, 28 May 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/adcm/MhaskarNW99.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/neco/MhaskarH97,
  author       = {Hrushikesh Narhar Mhaskar and
                  Nahmwoo Hahm},
  title        = {Neural Networks for Functional Approximation and System Identification},
  journal      = {Neural Comput.},
  volume       = {9},
  number       = {1},
  pages        = {143--159},
  year         = {1997},
  url          = {https://doi.org/10.1162/neco.1997.9.1.143},
  doi          = {10.1162/NECO.1997.9.1.143},
  timestamp    = {Tue, 01 Sep 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/neco/MhaskarH97.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@book{DBLP:books/daglib/0022972,
  author       = {Hrushikesh Narhar Mhaskar},
  title        = {Introduction to the theory of weighted polynomial approximation},
  series       = {Series in approximations and decompositions},
  volume       = {7},
  publisher    = {World Scientific},
  year         = {1996},
  isbn         = {978-981-02-1312-1},
  timestamp    = {Fri, 19 Jul 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/books/daglib/0022972.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/adcm/ChuiLM96,
  author       = {Charles K. Chui and
                  Xin Li and
                  Hrushikesh Narhar Mhaskar},
  title        = {Limitations of the approximation capabilities of neural networks with
                  one hidden layer},
  journal      = {Adv. Comput. Math.},
  volume       = {5},
  number       = {1},
  pages        = {233--243},
  year         = {1996},
  url          = {https://doi.org/10.1007/BF02124745},
  doi          = {10.1007/BF02124745},
  timestamp    = {Sun, 28 May 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/adcm/ChuiLM96.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/neco/Mhaskar96,
  author       = {Hrushikesh N. Mhaskar},
  title        = {Neural Networks for Optimal Approximation of Smooth and Analytic Functions},
  journal      = {Neural Comput.},
  volume       = {8},
  number       = {1},
  pages        = {164--177},
  year         = {1996},
  url          = {https://doi.org/10.1162/neco.1996.8.1.164},
  doi          = {10.1162/NECO.1996.8.1.164},
  timestamp    = {Fri, 03 Dec 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/neco/Mhaskar96.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nn/Mhaskar96,
  author       = {Hrushikesh Narhar Mhaskar},
  title        = {Neural networks and approximation theory},
  journal      = {Neural Networks},
  volume       = {9},
  number       = {4},
  pages        = {721--722},
  year         = {1996},
  url          = {https://doi.org/10.1016/0893-6080(95)00125-5},
  doi          = {10.1016/0893-6080(95)00125-5},
  timestamp    = {Sun, 28 May 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/nn/Mhaskar96.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ibmrd/MhaskarM94,
  author       = {Hrushikesh Narhar Mhaskar and
                  Charles A. Micchelli},
  title        = {Dimension-independent bounds on the degree of approximation by neural
                  networks},
  journal      = {{IBM} J. Res. Dev.},
  volume       = {38},
  number       = {3},
  pages        = {277--284},
  year         = {1994},
  url          = {https://doi.org/10.1147/rd.383.0277},
  doi          = {10.1147/RD.383.0277},
  timestamp    = {Fri, 13 Mar 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/ibmrd/MhaskarM94.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/adcm/Mhaskar93,
  author       = {Hrushikesh Narhar Mhaskar},
  title        = {Approximation properties of a multilayered feedforward artificial
                  neural network},
  journal      = {Adv. Comput. Math.},
  volume       = {1},
  number       = {1},
  pages        = {61--80},
  year         = {1993},
  url          = {https://doi.org/10.1007/BF02070821},
  doi          = {10.1007/BF02070821},
  timestamp    = {Sun, 28 May 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/adcm/Mhaskar93.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nips/MhaskarM93,
  author       = {Hrushikesh Narhar Mhaskar and
                  Charles A. Micchelli},
  editor       = {Jack D. Cowan and
                  Gerald Tesauro and
                  Joshua Alspector},
  title        = {How to Choose an Activation Function},
  booktitle    = {Advances in Neural Information Processing Systems 6, [7th {NIPS} Conference,
                  Denver, Colorado, USA, 1993]},
  pages        = {319--326},
  publisher    = {Morgan Kaufmann},
  year         = {1993},
  url          = {http://papers.nips.cc/paper/874-how-to-choose-an-activation-function},
  timestamp    = {Mon, 16 May 2022 15:41:51 +0200},
  biburl       = {https://dblp.org/rec/conf/nips/MhaskarM93.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
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