基于这样一种思路,这篇文章我们从深度学习中一种广泛存在现象——频率原则(Frequency Principle 或 F-Principle)即 DNN 倾向于按从低频到高频的顺序来拟合训练数据出发,将给出一种能够在一定情况下定量预测神经网络学习结果的有效模型。 论文链接:PaperWeekly 我们先用一个简单的例子来理解 F-Principle。用一个 DNN...
时间 t 趋于无穷时,该模型的显式解可以写出来。 记为Linear F-Principle(LFP)模型。模型右端系数项随频率ξ增加而衰减,显式地表明低频优先即 F-Principle。整个动力学只依赖于参数的统计性质,如参数的方差,参数整体合成的网络输出等,可以很好地类比于热力学系统中密度、温度、体积、压强等统计量。 下文中,我们首...
Deep Frequency Principle Towards Understanding Why Deeper Learning is Faster 滋滋乱崩 闪击与噬咬,胜利不是来自一击穿心,而是千刀万剐 创作声明: 内容包含剧透 总结一下个人认为本文研究主题很好,分析工具也很棒,但结论有点单薄,应该向神经网络鲁棒性分析、纹理-形状倾向、自然图像的频率解释等方向延伸一下编辑...
Deep Frequency Principle Towards Understanding Why Deeper Learning Is FasterZhiqin John XuHanxu ZhouNational Conference on Artificial Intelligence
We study the training process of Deep Neural Networks (DNNs) from the Fourier analysis perspective. We demonstrate a very universal Frequency Principle (F-Principle) --- DNNs often fit target functions from low to high frequencies --- on high-dimensional benchmark datasets such as MNIST/CIFAR10...
Deep convolutional neural networks (CNNs) have demonstrated tremendous success in image super-resolution (SR). According to the frequency principle, the va... Z Wu,W Liu,XD Huang - 《IEEE Transactions on Circuits & Systems for Video Technology》 被引量: 0发表: 2023年 加载更多研究...
Xu Z-QJ, Zhang Y, Luo T, Xiao Y, Ma Z (2019) Frequency principle: Fourier analysis sheds light on deep neural networks. arXiv preprint arXiv:1901.06523 Cai W, Li X, Liu L (2019) Phasednn-a parallel phase shift deep neural network for adaptive wideband learning. arXiv preprint arXiv...
9 RegisterLog in Sign up with one click: Facebook Twitter Google Share on Facebook Thesaurus Medical Financial Acronyms Encyclopedia Wikipedia Related to fundamental frequency:harmonics ThesaurusAntonymsRelated WordsSynonymsLegend: Switch tonew thesaurus ...
F-principle/Spectral bias 神经网络训练中有个现象,就是网络倾向于先学习低频成分,再学习高频成分,这被称作F-Principle或者是Spectral Bias。下面是一个例子: 用一个全连接DNN去拟合camera man 关于这个现象,上交的@许志钦老师有很多的研究,如果想了解更多可以参考,比如这篇overview:2201.07395 Optimization in Frequency...
We will first review the theoretical basis and principle for each category, then summarize commonly used strategies and application possibilities for CHP and PtH systems, as shown in Table 2. Sign in to download hi-res image Fig. 2. Comparison of main frequency control strategy categories: (a)...