[HTML][HTML] Universality of deep convolutional neural networks

DX Zhou - Applied and computational harmonic analysis, 2020 - Elsevier
Deep learning has been widely applied and brought breakthroughs in speech recognition,
computer vision, and many other domains. Deep neural network architectures and …

Theory of deep convolutional neural networks: Downsampling

DX Zhou - Neural Networks, 2020 - Elsevier
Establishing a solid theoretical foundation for structured deep neural networks is greatly
desired due to the successful applications of deep learning in various practical domains …

Distributed learning with regularized least squares

SB Lin, X Guo, DX Zhou - Journal of Machine Learning Research, 2017 - jmlr.org
We study distributed learning with the least squares regularization scheme in a reproducing
kernel Hilbert space (RKHS). By a divide-and-conquer approach, the algorithm partitions a …

Deep distributed convolutional neural networks: Universality

DX Zhou - Analysis and applications, 2018 - World Scientific
Deep learning based on structured deep neural networks has provided powerful
applications in various fields. The structures imposed on the deep neural networks are …

Correntropy long short term memory soft sensor for quality prediction in industrial polyethylene process

Q Liu, M Jia, Z Gao, L Xu, Y Liu - Chemometrics and Intelligent Laboratory …, 2022 - Elsevier
A typical challenge for construction of accurate soft sensors in the process industries is that
industrial process data often contains various noise and outliers. Inspired by correntropy in …

Theory of deep convolutional neural networks II: Spherical analysis

Z Fang, H Feng, S Huang, DX Zhou - Neural Networks, 2020 - Elsevier
Deep learning based on deep neural networks of various structures and architectures has
been powerful in many practical applications, but it lacks enough theoretical verifications. In …

Generalization analysis of deep CNNs under maximum correntropy criterion

Y Zhang, Z Fang, J Fan - Neural Networks, 2024 - Elsevier
Convolutional neural networks (CNNs) have gained immense popularity in recent years,
finding their utility in diverse fields such as image recognition, natural language processing …

Generalization guarantee of SGD for pairwise learning

Y Lei, M Liu, Y Ying - Advances in neural information …, 2021 - proceedings.neurips.cc
Recently, there is a growing interest in studying pairwise learning since it includes many
important machine learning tasks as specific examples, eg, metric learning, AUC …

Theory of deep convolutional neural networks III: Approximating radial functions

T Mao, Z Shi, DX Zhou - Neural Networks, 2021 - Elsevier
We consider a family of deep neural networks consisting of two groups of convolutional
layers, a downsampling operator, and a fully connected layer. The network structure …

[PDF][PDF] Learning with the maximum correntropy criterion induced losses for regression.

Y Feng, X Huang, L Shi, Y Yang, JAK Suykens - J. Mach. Learn. Res., 2015 - jmlr.org
Within the statistical learning framework, this paper studies the regression model associated
with the correntropy induced losses. The correntropy, as a similarity measure, has been …