Neural operator: Learning maps between function spaces with applications to pdes

N Kovachki, Z Li, B Liu, K Azizzadenesheli… - Journal of Machine …, 2023 - jmlr.org
The classical development of neural networks has primarily focused on learning mappings
between finite dimensional Euclidean spaces or finite sets. We propose a generalization of …

Randomized approximate class-specific kernel spectral regression analysis for large-scale face verification

K Li, G Wu - Machine Learning, 2022 - Springer
Kernel methods are known to be effective to analyse complex objects by implicitly
embedding them into some feature space. The approximate class-specific kernel spectral …

[Retracted] Characteristics and Rehabilitation Training Effects of Shoulder Joint Dysfunction in Volleyball Players under the Background of Artificial Intelligence

Y Tang, Z Chen, X Lin - Computational intelligence and …, 2022 - Wiley Online Library
With the development of volleyball technology, the frequent competition, the fierce
competition, and the increase of sports load, the requirements for the athletes' own body …

Kernelized sparse Bayesian matrix factorization

C Li, HB Xie, X Fan, RY Da Xu… - IEEE transactions on …, 2020 - ieeexplore.ieee.org
Extracting low-rank and/or sparse structures using matrix factorization techniques has been
extensively studied in the machine learning community. Kernelized matrix factorization …

Using low-rank approximations to speed up kernel logistic regression algorithm

D Lei, J Tang, Z Li, Y Wu - IEEE Access, 2019 - ieeexplore.ieee.org
Logistic regression as a classic classification algorithm has limitations that can only be
applied to linearly separable data. For linearly indivisible data, we use a kernel trick to map it …

Robust kernelized Bayesian matrix factorization for video background/foreground separation

HB Xie, C Li, RYD Xu, K Mengersen - International Conference on …, 2019 - Springer
Abstract Development of effective and efficient techniques for video analysis is an important
research area in machine learning and computer vision. Matrix factorization (MF) is a …

Randomization or Condensation? Linear-Cost Matrix Sketching Via Cascaded Compression Sampling

K Zhang, C Liu, J Zhang, H Xiong, E Xing… - Proceedings of the 23rd …, 2017 - dl.acm.org
Matrix sketching is aimed at finding compact representations of a matrix while
simultaneously preserving most of its properties, which is a fundamental building block in …

基于循环矩阵投影的Nyström 扩展

刘静姝, 王莉, 刘惊雷 - 《 山东大学学报(理学版)》, 2020 - lxbwk.njournal.sdu.edu.cn
不同于采样矩阵近似方法, 设计了一种基于随机循环矩阵投影来实现矩阵的近似. 首先,
利用随机采样得到一个初始矩阵的近似轮廓, 然后构造循环嵌入矩阵, 将该循环矩阵作为投影 …

Learning With Multiple Kernels

MA Almahdawi, ODLC Cabrera - IEEE Access, 2024 - ieeexplore.ieee.org
Over the last decades, learning methods using kernels have become very popular. The main
reason is that real data analysis often requires nonlinear methods to detect the …

Nonparametric Bayesian Models for Signal Processing

C Li - 2019 - opus.lib.uts.edu.au
An essential component in signal processing is to remove various kinds of noise from the
signal. It is possible to introduce noise during the process of signal storage, transmission …