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We use standard deep neural networks to classify univariate time series generated by discrete and continuous dynamical systems based on their chaotic or non-chaotic behaviour. Our approach to circumvent the lack of precise models for some…

Signal Processing · Electrical Eng. & Systems 2020-02-26 Nicolas Boullé , Vassilios Dallas , Yuji Nakatsukasa , D. Samaddar

A recent line of work has established intriguing connections between the generalization/compression properties of a deep neural network (DNN) model and the so-called layer weights' stable ranks. Intuitively, the latter are indicators of the…

Machine Learning · Computer Science 2021-10-07 Bogdan Georgiev , Lukas Franken , Mayukh Mukherjee , Georgios Arvanitidis

Deep neural networks are susceptible to label noise. Existing methods to improve robustness, such as meta-learning and regularization, usually require significant change to the network architecture or careful tuning of the optimization…

Machine Learning · Computer Science 2022-05-31 Li Chen , Ningyuan Huang , Cong Mu , Hayden S. Helm , Kate Lytvynets , Weiwei Yang , Carey E. Priebe

Noisy labels are inevitable in large real-world datasets. In this work, we explore an area understudied by previous works -- how the network's architecture impacts its robustness to noisy labels. We provide a formal framework connecting the…

Machine Learning · Computer Science 2021-11-30 Jingling Li , Mozhi Zhang , Keyulu Xu , John P. Dickerson , Jimmy Ba

Deep learning has arguably achieved tremendous success in recent years. In simple words, deep learning uses the composition of many nonlinear functions to model the complex dependency between input features and labels. While neural networks…

Machine Learning · Statistics 2019-04-16 Jianqing Fan , Cong Ma , Yiqiao Zhong

Deep learning has achieved remarkable success in numerous domains with help from large amounts of big data. However, the quality of data labels is a concern because of the lack of high-quality labels in many real-world scenarios. As noisy…

Machine Learning · Computer Science 2022-03-11 Hwanjun Song , Minseok Kim , Dongmin Park , Yooju Shin , Jae-Gil Lee

Labelling of data for supervised learning can be costly and time-consuming and the risk of incorporating label noise in large data sets is imminent. When training a flexible discriminative model using a strictly proper loss, such noise will…

Machine Learning · Statistics 2022-05-13 Amanda Olmin , Fredrik Lindsten

Because deep learning is vulnerable to noisy labels, sample selection techniques, which train networks with only clean labeled data, have attracted a great attention. However, if the labels are dominantly corrupted by few classes, these…

Machine Learning · Computer Science 2021-07-16 Kyeongbo Kong , Junggi Lee , Youngchul Kwak , Young-Rae Cho , Seong-Eun Kim , Woo-Jin Song

Generalization of deep neural networks remains one of the main open problems in machine learning. Previous theoretical works focused on deriving tight bounds of model complexity, while empirical works revealed that neural networks exhibit…

Machine Learning · Computer Science 2022-01-31 James Wang , Cheng-Lin Yang

We study the effect of width on the dynamics of feature-learning neural networks across a variety of architectures and datasets. Early in training, wide neural networks trained on online data have not only identical loss curves but also…

Machine Learning · Computer Science 2023-12-07 Nikhil Vyas , Alexander Atanasov , Blake Bordelon , Depen Morwani , Sabarish Sainathan , Cengiz Pehlevan

Linear networks provide valuable insights into the workings of neural networks in general. This paper identifies conditions under which the gradient flow provably trains a linear network, in spite of the non-strict saddle points present in…

Optimization and Control · Mathematics 2020-06-30 Armin Eftekhari

Datasets with significant proportions of noisy (incorrect) class labels present challenges for training accurate Deep Neural Networks (DNNs). We propose a new perspective for understanding DNN generalization for such datasets, by…

Computer Vision and Pattern Recognition · Computer Science 2018-08-01 Xingjun Ma , Yisen Wang , Michael E. Houle , Shuo Zhou , Sarah M. Erfani , Shu-Tao Xia , Sudanthi Wijewickrema , James Bailey

In these six lectures, we examine what can be learnt about the behavior of multi-layer neural networks from the analysis of linear models. We first recall the correspondence between neural networks and linear models via the so-called lazy…

Machine Learning · Statistics 2023-08-28 Theodor Misiakiewicz , Andrea Montanari

Deep learning with noisy labels is practically challenging, as the capacity of deep models is so high that they can totally memorize these noisy labels sooner or later during training. Nonetheless, recent studies on the memorization effects…

Machine Learning · Computer Science 2018-10-31 Bo Han , Quanming Yao , Xingrui Yu , Gang Niu , Miao Xu , Weihua Hu , Ivor Tsang , Masashi Sugiyama

In recent years, research on learning with noisy labels has focused on devising novel algorithms that can achieve robustness to noisy training labels while generalizing to clean data. These algorithms often incorporate sophisticated…

Machine Learning · Computer Science 2023-07-12 Hui Kang , Sheng Liu , Huaxi Huang , Jun Yu , Bo Han , Dadong Wang , Tongliang Liu

We study the supervised learning problem under either of the following two models: (1) Feature vectors ${\boldsymbol x}_i$ are $d$-dimensional Gaussians and responses are $y_i = f_*({\boldsymbol x}_i)$ for $f_*$ an unknown quadratic…

Machine Learning · Statistics 2019-06-24 Behrooz Ghorbani , Song Mei , Theodor Misiakiewicz , Andrea Montanari

Recently deep neural networks have shown their capacity to memorize training data, even with noisy labels, which hurts generalization performance. To mitigate this issue, we provide a simple but effective baseline method that is robust to…

Machine Learning · Computer Science 2019-09-30 Yucen Luo , Jun Zhu , Tomas Pfister

State-of-the-art pre-trained language models have been shown to memorise facts and perform well with limited amounts of training data. To gain a better understanding of how these models learn, we study their generalisation and memorisation…

Computation and Language · Computer Science 2022-03-16 Michael Tänzer , Sebastian Ruder , Marek Rei

Normalization layers have recently experienced a renaissance in the deep reinforcement learning and continual learning literature, with several works highlighting diverse benefits such as improving loss landscape conditioning and combatting…

Machine Learning · Computer Science 2024-07-03 Clare Lyle , Zeyu Zheng , Khimya Khetarpal , James Martens , Hado van Hasselt , Razvan Pascanu , Will Dabney

In the last decade, motivated by the success of Deep Learning, the scientific community proposed several approaches to make the learning procedure of Neural Networks more effective. When focussing on the way in which the training data are…

Machine Learning · Computer Science 2021-06-22 Simone Marullo , Matteo Tiezzi , Marco Gori , Stefano Melacci