activity
20182023
most citedFrequency Principle: Fourier Analysis Sheds Light on Deep Neural Networks

540 citations · 908 across the 23 of their papers we have counts for

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Showing 2020Show all

5 papers · 1 filter

math.NA2020

Fourier-domain Variational Formulation and Its Well-posedness for Supervised Learning

Tao Luo, Zheng Ma, Zhiwei Wang +2

A supervised learning problem is to find a function in a hypothesis function space given values on isolated data points. Inspired by the frequency principle in neural networks, we…

cs.LG2020★ 1 cited

On the exact computation of linear frequency principle dynamics and its generalization

Tao Luo, Zheng Ma, Zhi-Qin John Xu +1

Recent works show an intriguing phenomenon of Frequency Principle (F-Principle) that deep neural networks (DNNs) fit the target function from low to high frequency during the train…

cs.LG2020★ 33 cited

Path Integral Based Convolution and Pooling for Graph Neural Networks

Zheng Ma, Junyu Xuan, Yu Guang Wang +2

Graph neural networks (GNNs) extends the functionality of traditional neural networks to graph-structured data. Similar to CNNs, an optimized design of graph convolution and poolin…

cs.LG2020★ 15 cited

Phase diagram for two-layer ReLU neural networks at infinite-width limit

Tao Luo, Zhi-Qin John Xu, Zheng Ma +1

How neural network behaves during the training over different choices of hyperparameters is an important question in the study of neural networks. In this work, inspired by the pha…

cs.CV2020★ 9 cited

Inter-Region Affinity Distillation for Road Marking Segmentation

Yuenan Hou, Zheng Ma, Chunxiao Liu +2

We study the problem of distilling knowledge from a large deep teacher network to a much smaller student network for the task of road marking segmentation. In this work, we explore…