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06/02/2023
Uniform Convergence of Deep Neural Networks with Lipschitz Continuous Activation Functions and Variable Widths
We consider deep neural networks with a Lipschitz continuous activation ...
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11/28/2022
Dual Information Enhanced Multi-view Attributed Graph Clustering
Multi-view attributed graph clustering is an important approach to parti...
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05/13/2022
Convergence Analysis of Deep Residual Networks
Various powerful deep neural network architectures have made great contr...
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05/13/2022
Convergence of Deep Neural Networks with General Activation Functions and Pooling
Deep neural networks, as a powerful system to represent high dimensional...
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09/28/2021
Convergence of Deep Convolutional Neural Networks
Convergence of deep neural networks as the depth of the networks tends t...
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07/27/2021
Convergence of Deep ReLU Networks
We explore convergence of deep neural networks with the popular ReLU act...
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06/16/2021
Exponential Approximation of Band-limited Signals from Nonuniform Sampling
Reconstructing a band-limited function from its finite sample data is a ...
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04/01/2021
Learning Rates for Multi-task Regularization Networks
Multi-task learning is an important trend of machine learning in facing ...
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01/04/2019
On Reproducing Kernel Banach Spaces: Generic Definitions and Unified Framework of Constructions
Recently, there has been emerging interest in constructing reproducing k...
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07/25/2012
Optimal Sampling Points in Reproducing Kernel Hilbert Spaces
The recent developments of basis pursuit and compressed sensing seek to ...
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11/04/2011
Vector-valued Reproducing Kernel Banach Spaces with Applications to Multi-task Learning
Motivated by multi-task machine learning with Banach spaces, we propose ...
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01/24/2011
Reproducing Kernel Banach Spaces with the l1 Norm II: Error Analysis for Regularized Least Square Regression
A typical approach in estimating the learning rate of a regularized lear...
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01/23/2011