Search Results for author: Zhiying Fang

Found 4 papers, 0 papers with code

Optimal Convergence Rates of Deep Convolutional Neural Networks: Additive Ridge Functions

no code implementations24 Feb 2022 Zhiying Fang, Guang Cheng

Convolutional neural networks have shown impressive abilities in many applications, especially those related to the classification tasks.

regression

Attention Enables Zero Approximation Error

no code implementations24 Feb 2022 Zhiying Fang, Yidong Ouyang, Ding-Xuan Zhou, Guang Cheng

In this work, we show that with suitable adaptations, the single-head self-attention transformer with a fixed number of transformer encoder blocks and free parameters is able to generate any desired polynomial of the input with no error.

Image Classification

Theory of Deep Convolutional Neural Networks II: Spherical Analysis

no code implementations28 Jul 2020 Zhiying Fang, Han Feng, Shuo Huang, Ding-Xuan Zhou

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.

Towards Understanding the Spectral Bias of Deep Learning

no code implementations3 Dec 2019 Yuan Cao, Zhiying Fang, Yue Wu, Ding-Xuan Zhou, Quanquan Gu

An intriguing phenomenon observed during training neural networks is the spectral bias, which states that neural networks are biased towards learning less complex functions.

Cannot find the paper you are looking for? You can Submit a new open access paper.