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10/21/2021
Finite Volume Least-Squares Neural Network (FV-LSNN) Method for Scalar Nonlinear Hyperbolic Conservation Laws
In [4], we introduced the least-squares ReLU neural network (LSNN) metho...
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09/07/2021
Self-adaptive deep neural network: Numerical approximation to functions and PDEs
Designing an optimal deep neural network for a given task is important a...
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07/19/2021
Adaptive Two-Layer ReLU Neural Network: I. Best Least-squares Approximation
In this paper, we introduce adaptive neuron enhancement (ANE) method for...
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05/25/2021
Least-Squares ReLU Neural Network (LSNN) Method For Linear Advection-Reaction Equation
This paper studies least-squares ReLU neural network method for solving ...
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05/25/2021
Least-Squares ReLU Neural Network (LSNN) Method For Scalar Nonlinear Hyperbolic Conservation Law
We introduced the least-squares ReLU neural network (LSNN) method for so...
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11/05/2019