Updated: April 4th, 2024 16:20

2023 journal article

Accelerating gradient descent and Adam via fractional gradients

*Neural Networks*, *161*, 185–201.

Source: ORCID

Added: January 24, 2024

2023 journal article

ERROR ESTIMATES OF RESIDUAL MINIMIZATION USING NEURAL NETWORKS FOR LINEAR PDES

*Journal of Machine Learning for Modeling and Computing*, *4*(4), 73–101.

Sources: Crossref, NC State University Libraries

Added: January 27, 2024

2022 journal article

Active Neuron Least Squares: A training method for multivariate rectified neural networks

*SIAM Journal on Scientific Computing*, *44*(4), A2253–A2275.

UN Sustainable Development Goal Categories

16. Peace, Justice and Strong Institutions
(OpenAlex)

Source: ORCID

Added: January 24, 2024

2022 journal article

Approximation rates of DeepONets for learning operators arising from advection–diffusion equations

*Neural Networks*, *153*, 411–426.

Source: ORCID

Added: January 24, 2024

2022 journal article

Deep Kronecker neural networks: A general framework for neural networks with adaptive activation functions

*Neurocomputing*, *468*, 165–180.

Source: ORCID

Added: January 24, 2024

2022 journal article

Effects of depth, width, and initialization: A convergence analysis of layer-wise training for deep linear neural networks

*Analysis and Applications*, *20*(01), 73–119.

Source: ORCID

Added: January 24, 2024

2022 journal article

GFINNs: GENERIC formalism informed neural networks for deterministic and stochastic dynamical systems

Sources: ORCID, Crossref, NC State University Libraries

Added: January 24, 2024

2021 journal article

Identification of Corrupted Data via $k$-Means Clustering for Function Approximation

*CSIAM Transactions on Applied Mathematics*, *2*(1), 81–107.

Contributors: J. Hou ^{*}, & D. Xiu

Sources: ORCID, Crossref, NC State University Libraries

Added: January 24, 2024

2021 journal article

Plateau Phenomenon in Gradient Descent Training of RELU Networks: Explanation, Quantification, and Avoidance

*SIAM Journal on Scientific Computing*, *43*(5), A3438–A3468.

Source: ORCID

Added: January 24, 2024

2020 journal article

Dying ReLU and Initialization: Theory and Numerical Examples

*Communications in Computational Physics*, *28*(5), 1671–1706.

Sources: ORCID, Crossref, NC State University Libraries

Added: January 24, 2024

2020 journal article

On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs

*Communications in Computational Physics*, *28*(5), 2042–2074.

Contributors: J. Darbon & G. Karniadakis

Sources: ORCID, Crossref, NC State University Libraries

Added: January 24, 2024

2020 journal article

TRAINABILITY OF ReLU NETWORKS AND DATA-DEPENDENT INITIALIZATION

*Journal of Machine Learning for Modeling and Computing*, *1*(1), 39–74.

Source: ORCID

Added: January 24, 2024

2018 journal article

Sequential function approximation with noisy data

*Journal of Computational Physics*, *371*, 363–381.

Source: ORCID

Added: January 24, 2024

2017 journal article

A Randomized Algorithm for Multivariate Function Approximation

*SIAM Journal on Scientific Computing*, *39*(3), A983–A1002.

Source: ORCID

Added: January 24, 2024

2017 journal article

A Randomized Tensor Quadrature Method for High Dimensional Polynomial Approximation

*SIAM Journal on Scientific Computing*, *39*(5), A1811–A1833.

Source: ORCID

Added: January 24, 2024

2017 journal article

Sparse Approximation using $\ell_1-\ell_2$ Minimization and Its Application to Stochastic Collocation

*SIAM Journal on Scientific Computing*, *39*(1), A229–A254.

Source: ORCID

Added: January 24, 2024

2016 journal article

Correcting Data Corruption Errors for Multivariate Function Approximation

*SIAM Journal on Scientific Computing*, *38*(4), A2492–A2511.

UN Sustainable Development Goal Categories

16. Peace, Justice and Strong Institutions
(OpenAlex)

Source: ORCID

Added: January 24, 2024

2016 journal article

Nonadaptive Quasi-Optimal Points Selection for Least Squares Linear Regression

*SIAM Journal on Scientific Computing*, *38*(1), A385–A411.

Source: ORCID

Added: January 24, 2024

2016 journal article

On a near optimal sampling strategy for least squares polynomial regression

*Journal of Computational Physics*, *326*, 931–946.

Source: ORCID

Added: January 24, 2024

Updated: October 5th, 2023 20:43

2023 - present

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