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06/07/2023
Permutation Equivariant Graph Framelets for Heterophilous Semi-supervised Learning
The nature of heterophilous graphs is significantly different with that ...
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05/31/2023
Optimal Estimates for Pairwise Learning with Deep ReLU Networks
Pairwise learning refers to learning tasks where a loss takes a pair of ...
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10/19/2022
A new activation for neural networks and its approximation
Deep learning with deep neural networks (DNNs) has attracted tremendous ...
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10/14/2022
Approximation analysis of CNNs from feature extraction view
Deep learning based on deep neural networks has been very successful in ...
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10/04/2022
Learning of Dynamical Systems under Adversarial Attacks – Null Space Property Perspective
We study the identification of a linear time-invariant dynamical system ...
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09/29/2022
Spherical Image Inpainting with Frame Transformation and Data-driven Prior Deep Networks
Spherical image processing has been widely applied in many important fie...
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01/17/2022
Convolutional Neural Networks for Spherical Signal Processing via Spherical Haar Tight Framelets
In this paper, we develop a general theoretical framework for constructi...
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12/05/2021
Radial Basis Function Approximation with Distributively Stored Data on Spheres
This paper proposes a distributed weighted regularized least squares alg...
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11/08/2021
Identifying Best Fair Intervention
We study the problem of best arm identification with a fairness constrai...
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06/26/2021
Hypothesis Testing for Two Sample Comparison of Network Data
Network data is a major object data type that has been widely collected ...
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07/28/2020
Theory of Deep Convolutional Neural Networks II: Spherical Analysis
Deep learning based on deep neural networks of various structures and ar...
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05/23/2020
Mathematical Modeling of Business Reopening when Facing SARS-CoV-2 Pandemic: Protection, Cost and Risk
The sudden onset of the coronavirus (SARS-CoV-2) pandemic has resulted i...
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05/23/2020