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09/12/2023
Interpolation, Approximation and Controllability of Deep Neural Networks
We investigate the expressive power of deep residual neural networks ide...
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05/10/2023
Computational Optics for Mobile Terminals in Mass Production
Correcting the optical aberrations and the manufacturing deviations of c...
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04/23/2023
Local Bounded Commuting Projection Operators for Discrete Gradgrad Complexes
This paper discusses the construction of local bounded commuting project...
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03/16/2023
Local Bounded Commuting Projection Operator for Discrete de Rham Complexes
The local bounded commuting projection operators of nonstandard finite e...
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02/07/2023
Finite element grad grad complexes and elasticity complexes on cuboid meshes
This paper constructs two conforming finite element grad grad and elasti...
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11/25/2022
On the Universal Approximation Property of Deep Fully Convolutional Neural Networks
We study the approximation of shift-invariant or equivariant functions b...
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08/18/2022
Deep Neural Network Approximation of Invariant Functions through Dynamical Systems
We study the approximation of functions which are invariant with respect...
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02/05/2022
Aspect-based Sentiment Analysis through EDU-level Attentions
A sentence may express sentiments on multiple aspects. When these aspect...
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11/22/2021
A Novel Randomized XR-Based Preconditioned CholeskyQR Algorithm
CholeskyQR is a simple and fast QR decomposition via Cholesky decomposit...
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03/27/2021
A Construction of C^r Conforming Finite Element Spaces in Any Dimension
This paper proposes a construction of local C^r interpolation spaces and...
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12/22/2019