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Showing results 1 to 15 of 15

1
A RANDOMIZED ALGORITHM FOR MULTIVARIATE FUNCTION APPROXIMATION

Shin, Yeonjong; Xiu, Dongbin, SIAM JOURNAL ON SCIENTIFIC COMPUTING, v.39, no.3, pp.A983 - A1002, 2017

2
A RANDOMIZED TENSOR QUADRATURE METHOD FOR HIGH DIMENSIONAL POLYNOMIAL APPROXIMATION

Wu, Kailiang; Shin, Yeonjong; Xiu, Dongbin, SIAM JOURNAL ON SCIENTIFIC COMPUTING, v.39, no.5, pp.A1811 - A1833, 2017

3
Accelerating gradient descent and Adam via fractional gradients

Shin, Yeonjong; Darbon, Jerome; Karniadakis, George Em, NEURAL NETWORKS, v.161, pp.185 - 201, 2023-04

4
CORRECTING DATA CORRUPTION ERRORS FOR MULTIVARIATE FUNCTION APPROXIMATION

Shin, Yeonjong; Xiu, Dongbin, SIAM JOURNAL ON SCIENTIFIC COMPUTING, v.38, no.4, pp.A2492 - A2511, 2016

5
Dying ReLU and Initialization: Theory and Numerical Examples

Lu, Lu; Shin, Yeonjong; Su, Yanhui; Karniadakis, George Em, COMMUNICATIONS IN COMPUTATIONAL PHYSICS, v.28, no.5, pp.1671 - 1706, 2020-11

6
Effects of depth, width, and initialization: A convergence analysis of layer-wise training for deep linear neural networks

Shin, Yeonjong, ANALYSIS AND APPLICATIONS, v.20, no.01, pp.73 - 119, 2022-01

7
GFINNs: GENERIC formalism informed neural networks for deterministic and stochastic dynamical systems

Zhang, Zhen; Shin, Yeonjong; Karniadakis, George Em, PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, v.380, no.2229, 2022-08

8
Identification of Corrupted Data via k-Means Clustering for Function Approximation

Hou, Jun; Shin, Yeonjong; Xiu, Dongbin, CSIAM TRANSACTIONS ON APPLIED MATHEMATICS, v.2, no.1, pp.81 - 107, 2021-03

9
NONADAPTIVE QUASI-OPTIMAL POINTS SELECTION FOR LEAST SQUARES LINEAR REGRESSION

Shin, Yeonjong; Xiu, Dongbin, SIAM JOURNAL ON SCIENTIFIC COMPUTING, v.38, no.1, pp.A385 - A411, 2016

10
On a near optimal sampling strategy for least squares polynomial regression

Shin, Yeonjong; Xiu, Dongbin, JOURNAL OF COMPUTATIONAL PHYSICS, v.326, pp.931 - 946, 2016-12

11
On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs

Shin, Yeonjong; Darbon, Jerome; Karniadakis, George Em, COMMUNICATIONS IN COMPUTATIONAL PHYSICS, v.28, no.5, pp.2042 - 2074, 2020-11

12
PLATEAU PHENOMENON IN GRADIENT DESCENT TRAINING OF RELU NETWORKS: EXPLANATION, QUANTIFICATION, AND AVOIDANCE

Ainsworth, Mark; Shin, Yeonjong, SIAM JOURNAL ON SCIENTIFIC COMPUTING, v.43, no.5, pp.A3438 - A3468, 2021

13
Sequential function approximation with noisy data

Shin, Yeonjong; Wu, Kailiang; Xiu, Dongbin, JOURNAL OF COMPUTATIONAL PHYSICS, v.371, pp.363 - 381, 2018-10

14
SPARSE APPROXIMATION USING l(1)-l(2) MINIMIZATION AND ITS APPLICATION TO STOCHASTIC COLLOCATION

Yan, Liang; Shin, Yeonjong; Xiu, Dongbin, SIAM JOURNAL ON SCIENTIFIC COMPUTING, v.39, no.1, pp.A229 - A254, 2017

15
TRAINABILITY OF ReLU NETWORKS AND DATA-DEPENDENT INITIALIZATION

Shin, Yeonjong; Karniadakis, George Em, Journal of Machine Learning for Modeling and Computing, v.1, no.1, pp.39 - 74, 2020

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