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05/30/2023
Auto-tune: PAC-Bayes Optimization over Prior and Posterior for Neural Networks
It is widely recognized that the generalization ability of neural networ...
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02/02/2023
Implicit regularization in Heavy-ball momentum accelerated stochastic gradient descent
It is well known that the finite step-size (h) in Gradient Descent (GD) ...
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08/28/2022
Neural Network Approximation of Lipschitz Functions in High Dimensions with Applications to Inverse Problems
The remarkable successes of neural networks in a huge variety of inverse...
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06/13/2022
Superiority of GNN over NN in generalizing bandlimited functions
We constructively show, via rigorous mathematical arguments, that GNN ar...
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02/28/2022
Perturbation of invariant subspaces for ill-conditioned eigensystem
Given a diagonalizable matrix A, we study the stability of its invariant...
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10/21/2021
Deep Image Matting with Flexible Guidance Input
Image matting is an important computer vision problem. Many existing mat...
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06/13/2021
Low-memory stochastic backpropagation with multi-channel randomized trace estimation
Thanks to the combination of state-of-the-art accelerators and highly op...
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03/24/2021
On the ℓ^∞-norms of the Singular Vectors of Arbitrary Powers of a Difference Matrix with Applications to Sigma-Delta Quantization
Let A _max := max_i,j |A_i,j| denote the maximum magnitude of entries of...
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11/16/2020
An exact sinΘ formula for matrix perturbation analysis and its applications
Singular vector perturbation is an important topic in numerical analysis...
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08/18/2020
A Hierarchical User Intention-Habit Extract Network for Credit Loan Overdue Risk Detection
More personal consumer loan products are emerging in mobile banking APP....
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07/01/2020
Linear Convergent Decentralized Optimization with Compression
Communication compression has been extensively adopted to speed up large...
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05/18/2020
Sigma Delta quantization for images
In this paper, we propose the first adaptive quantization method for dir...
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11/10/2019
Manifold Denoising by Nonlinear Robust Principal Component Analysis
This paper extends robust principal component analysis (RPCA) to nonline...
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09/29/2019