Rongrong Wang | DeepAI

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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...

0 Xitong Zhang, et al. ∙

∙ 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) ...

0 Avrajit Ghosh, et al. ∙

∙ 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...

0 Santhosh Karnik, et al. ∙

∙ 06/13/2022

Superiority of GNN over NN in generalizing bandlimited functions

We constructively show, via rigorous mathematical arguments, that GNN ar...

0 A. Martina Neuman, et al. ∙

∙ 02/28/2022

Perturbation of invariant subspaces for ill-conditioned eigensystem

Given a diagonalizable matrix A, we study the stability of its invariant...

0 He Lyu, et al. ∙

∙ 10/21/2021

Deep Image Matting with Flexible Guidance Input

Image matting is an important computer vision problem. Many existing mat...

0 Hang Cheng, et al. ∙

∙ 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...

0 Mathias Louboutin, et al. ∙

∙ 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...

0 Theodore Faust, et al. ∙

∙ 11/16/2020

An exact sinΘ formula for matrix perturbation analysis and its applications

Singular vector perturbation is an important topic in numerical analysis...

0 He Lyu, et al. ∙

∙ 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....

0 Hao Guo, et al. ∙

∙ 07/01/2020

Linear Convergent Decentralized Optimization with Compression

Communication compression has been extensively adopted to speed up large...

0 Xiaorui Liu, et al. ∙

∙ 05/18/2020

Sigma Delta quantization for images

In this paper, we propose the first adaptive quantization method for dir...

0 He Lyu, et al. ∙

∙ 11/10/2019

Manifold Denoising by Nonlinear Robust Principal Component Analysis

This paper extends robust principal component analysis (RPCA) to nonline...

0 He Lyu, et al. ∙

∙ 09/29/2019

Capacity Preserving Mapping for High-dimensional Data Visualization

We provide a rigorous mathematical treatment to the crowding issue in da...

0 Rongrong Wang, et al. ∙

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