Hadrien Montanelli

New Error Bounds for Deep ReLU Networks Using Sparse Grids

Hadrien Montanelli, Qiang Du · SIAM Journal on Mathematics of Data Science · 2019 · 109 citations · Full text

Convolutional Neural Network, Engineering, Machine Learning +19

Error bounds for deep ReLU networks using the Kolmogorov–Arnold superposition theorem

Hadrien Montanelli, Haizhao Yang · Neural Networks · 2020 · 93 citations

Convolutional Neural Network, Deep Relu Networks, Engineering +5

Spherical Caps in Cell Polarization

Rocky Diegmiller, Hadrien Montanelli, Cyrill B. Muratov et al. · Biophysical Journal · 2018 · 35 citations · Full text

Polarization Imaging, Medicine, Cell Polarization +7

Deep ReLU networks overcome the curse of dimensionality for bandlimited functions

Hadrien Montanelli, Haizhao Yang, Qiang Du · arXiv (Cornell University) · 2019 · 35 citations · Full text

Chebyshev Polynomials, Convolutional Neural Network, Engineering +21

Deep ReLU Networks Overcome the Curse of Dimensionality for Generalized Bandlimited Functions

Hadrien Montanelli, Haizhao Yang, Qiang Du · Journal of Computational Mathematics · 2021 · 27 citations