Showing results 1 to 15 of 15
A RANDOMIZED ALGORITHM FOR MULTIVARIATE FUNCTION APPROXIMATION Shin, Yeonjong; Xiu, Dongbin, SIAM JOURNAL ON SCIENTIFIC COMPUTING, v.39, no.3, pp.A983 - A1002, 2017 |
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 |
Accelerating gradient descent and Adam via fractional gradients Shin, Yeonjong; Darbon, Jerome; Karniadakis, George Em, NEURAL NETWORKS, v.161, pp.185 - 201, 2023-04 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
Sequential function approximation with noisy data Shin, Yeonjong; Wu, Kailiang; Xiu, Dongbin, JOURNAL OF COMPUTATIONAL PHYSICS, v.371, pp.363 - 381, 2018-10 |
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 |
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 |
Discover