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相关论文: Towards Understanding Normalization in Neural ODEs

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Deep neural networks (DNNs) have achieved remarkable success across diverse domains, but their performance can be severely degraded by noisy or corrupted training data. Conventional noise mitigation methods often rely on explicit…

机器学习 · 计算机科学 2025-06-16 Deliang Jin , Gang Chen , Shuo Feng , Yufeng Ling , Haoran Zhu

We introduce a new technique for gradient normalization during neural network training. The gradients are rescaled during the backward pass using normalization layers introduced at certain points within the network architecture. These…

机器学习 · 计算机科学 2021-06-18 Alejandro Cabana , Luis F. Lago-Fernández

One obstacle that so far prevents the introduction of machine learning models primarily in critical areas is the lack of explainability. In this work, a practicable approach of gaining explainability of deep artificial neural networks (NN)…

机器学习 · 计算机科学 2019-10-07 Nina Schaaf , Marco F. Huber , Johannes Maucher

Neural ordinary differential equations (ODEs) have attracted much attention as continuous-time counterparts of deep residual neural networks (NNs), and numerous extensions for recurrent NNs have been proposed. Since the 1980s, ODEs have…

机器学习 · 计算机科学 2022-10-17 Kazuki Irie , Francesco Faccio , Jürgen Schmidhuber

Despite their massive size, successful deep artificial neural networks can exhibit a remarkably small difference between training and test performance. Conventional wisdom attributes small generalization error either to properties of the…

机器学习 · 计算机科学 2017-02-28 Chiyuan Zhang , Samy Bengio , Moritz Hardt , Benjamin Recht , Oriol Vinyals

Layer normalization (LN) is a ubiquitous technique in deep learning but our theoretical understanding to it remains elusive. This paper investigates a new theoretical direction for LN, regarding to its nonlinearity and representation…

机器学习 · 计算机科学 2024-06-04 Yunhao Ni , Yuxin Guo , Junlong Jia , Lei Huang

Deep neural networks learn increasingly complex functions over the course of training. Here, we show both empirically and theoretically that learning of the target function is preceded by an early phase in which networks learn the optimal…

机器学习 · 计算机科学 2024-06-26 Jirko Rubruck , Jan P. Bauer , Andrew Saxe , Christopher Summerfield

We consider applications of neural networks in nonlinear system identification and formulate a hypothesis that adjusting general network structure by incorporating frequency information or other known orthogonal transform, should result in…

机器学习 · 计算机科学 2025-01-24 Krzysztof Zając , Wojciech Sopot , Paweł Wachel

Advances in differentiable numerical integrators have enabled the use of gradient descent techniques to learn ordinary differential equations (ODEs). In the context of machine learning, differentiable solvers are central for Neural ODEs…

机器学习 · 计算机科学 2021-07-06 Weiming Zhi , Tin Lai , Lionel Ott , Edwin V. Bonilla , Fabio Ramos

By redefining the conventional notions of layers, we present an alternative view on finitely wide, fully trainable deep neural networks as stacked linear models in feature spaces, leading to a kernel machine interpretation. Based on this…

机器学习 · 统计学 2020-12-02 Shiyu Duan , Shujian Yu , Jose Principe

The combination of ordinary differential equations and neural networks, i.e., neural ordinary differential equations (Neural ODE), has been widely studied from various angles. However, deciphering the numerical integration in Neural ODE is…

机器学习 · 计算机科学 2022-06-16 Aiqing Zhu , Pengzhan Jin , Beibei Zhu , Yifa Tang

The ability to generalize to unseen domains is crucial for machine learning systems deployed in the real world, especially when we only have data from limited training domains. In this paper, we propose a simple and effective regularization…

机器学习 · 计算机科学 2023-12-06 Zhenmei Shi , Yifei Ming , Ying Fan , Frederic Sala , Yingyu Liang

Deep learning models fail on cross-domain challenges if the model is oversensitive to domain-specific attributes, e.g., lightning, background, camera angle, etc. To alleviate this problem, data augmentation coupled with consistency…

计算机视觉与模式识别 · 计算机科学 2023-09-26 Mengmeng Jing , Xiantong Zhen , Jingjing Li , Cees Snoek

Neural ordinary differential equations (neural ODEs) can effectively learn dynamical systems from time series data, but their behavior on graph-structured data remains poorly understood, especially when applied to graphs with different size…

物理与社会 · 物理学 2026-02-10 Moritz Laber , Tina Eliassi-Rad , Brennan Klein

Neural Ordinary Differential Equations (ODEs) have been successful in various applications due to their continuous nature and parameter-sharing efficiency. However, these unique characteristics also introduce challenges in training,…

机器学习 · 计算机科学 2025-09-29 Tianxiang Gao , Siyuan Sun , Hailiang Liu , Hongyang Gao

In recent years, we have witnessed the rise of deep learning. Deep neural networks have proved their success in many areas. However, the optimization of these networks has become more difficult as neural networks going deeper and datasets…

机器学习 · 计算机科学 2020-08-05 Derya Soydaner

We propose a novel framework to perform classification via deep learning in the presence of noisy annotations. When trained on noisy labels, deep neural networks have been observed to first fit the training data with clean labels during an…

机器学习 · 计算机科学 2020-10-26 Sheng Liu , Jonathan Niles-Weed , Narges Razavian , Carlos Fernandez-Granda

We introduce a novel end-to-end approach for learning to cluster in the absence of labeled examples. Our clustering objective is based on optimizing normalized cuts, a criterion which measures both intra-cluster similarity as well as…

机器学习 · 计算机科学 2019-10-18 Azade Nazi , Will Hang , Anna Goldie , Sujith Ravi , Azalia Mirhoseini

Quantification, i.e., the task of training predictors of the class prevalence values in sets of unlabeled data items, has received increased attention in recent years. However, most quantification research has concentrated on developing…

机器学习 · 计算机科学 2023-10-16 Mirko Bunse , Alejandro Moreo , Fabrizio Sebastiani , Martin Senz

Deep learning has achieved tremendous success with independent and identically distributed (i.i.d.) data. However, the performance of neural networks often degenerates drastically when encountering out-of-distribution (OoD) data, i.e., when…

机器学习 · 计算机科学 2022-04-01 Nanyang Ye , Kaican Li , Haoyue Bai , Runpeng Yu , Lanqing Hong , Fengwei Zhou , Zhenguo Li , Jun Zhu