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The fundamental learning theory behind neural networks remains largely open. What classes of functions can neural networks actually learn? Why doesn't the trained network overfit when it is overparameterized? In this work, we prove that…

Machine Learning · Computer Science 2020-06-02 Zeyuan Allen-Zhu , Yuanzhi Li , Yingyu Liang

Recurrent neural networks are deep learning topologies that can be trained to classify long documents. However, in our recent work, we found a critical problem with these cells: they can use the length differences between texts of different…

Machine Learning · Computer Science 2022-12-19 Jean-Thomas Baillargeon , Hélène Cossette , Luc Lamontagne

Recent success in training deep neural networks have prompted active investigation into the features learned on their intermediate layers. Such research is difficult because it requires making sense of non-linear computations performed by…

Machine Learning · Computer Science 2016-03-01 Yixuan Li , Jason Yosinski , Jeff Clune , Hod Lipson , John Hopcroft

Feature learning in neural networks is crucial for their expressive power and inductive biases, motivating various theoretical approaches. Some approaches describe network behavior after training through a change in kernel scale from…

Disordered Systems and Neural Networks · Physics 2025-05-29 Noa Rubin , Kirsten Fischer , Javed Lindner , David Dahmen , Inbar Seroussi , Zohar Ringel , Michael Krämer , Moritz Helias

Recently, neural tangent kernel (NTK) has been used to explain the dynamics of learning parameters of neural networks, at the large width limit. Quantitative analyses of NTK give rise to network widths that are often impractical and incur…

Machine Learning · Computer Science 2022-10-11 Nir Ailon , Supratim Shit

It is widely believed that the success of deep networks lies in their ability to learn a meaningful representation of the features of the data. Yet, understanding when and how this feature learning improves performance remains a challenge:…

Machine Learning · Statistics 2022-10-13 Leonardo Petrini , Francesco Cagnetta , Eric Vanden-Eijnden , Matthieu Wyart

Recent studies indicate that NLU models are prone to rely on shortcut features for prediction, without achieving true language understanding. As a result, these models fail to generalize to real-world out-of-distribution data. In this work,…

Computation and Language · Computer Science 2021-04-15 Mengnan Du , Varun Manjunatha , Rajiv Jain , Ruchi Deshpande , Franck Dernoncourt , Jiuxiang Gu , Tong Sun , Xia Hu

Recent studies of gradient descent with large step sizes have shown that there is often a regime with an initial increase in the largest eigenvalue of the loss Hessian (progressive sharpening), followed by a stabilization of the eigenvalue…

Machine Learning · Computer Science 2022-10-11 Atish Agarwala , Fabian Pedregosa , Jeffrey Pennington

Convolutional neural networks (CNNs) are able to attain better visual recognition performance than fully connected neural networks despite having much fewer parameters due to their parameter sharing principle. Modern architectures usually…

Computer Vision and Pattern Recognition · Computer Science 2022-10-20 Ilke Cugu , Emre Akbas

Little is known about the training dynamics of equivariant neural networks, in particular how it compares to data augmented training of their non-equivariant counterparts. Recently, neural tangent kernels (NTKs) have emerged as a powerful…

Machine Learning · Computer Science 2025-02-03 Philipp Misof , Pan Kessel , Jan E. Gerken

We address the challenging problem of deep representation learning--the efficient adaption of a pre-trained deep network to different tasks. Specifically, we propose to explore gradient-based features. These features are gradients of the…

Machine Learning · Computer Science 2020-04-14 Fangzhou Mu , Yingyu Liang , Yin Li

Shortcut learning refers to the phenomenon where models employ simple, non-robust decision rules in practical tasks, which hinders their generalization and robustness. With the rapid development of large language models (LLMs) in recent…

Computation and Language · Computer Science 2024-12-02 Rui Song , Yingji Li , Lida Shi , Fausto Giunchiglia , Hao Xu

Large language models (LLMs) have achieved state-of-the-art performance on a series of natural language understanding tasks. However, these LLMs might rely on dataset bias and artifacts as shortcuts for prediction. This has significantly…

Computation and Language · Computer Science 2023-05-09 Mengnan Du , Fengxiang He , Na Zou , Dacheng Tao , Xia Hu

Deep neural networks learn fragile "shortcut" features, rendering them difficult to interpret (black box) and vulnerable to adversarial attacks. This paper proposes semantic features as a general architectural solution to this problem. The…

Machine Learning · Computer Science 2024-04-18 Maciej Satkiewicz

Neural networks have been successfully used for classification tasks in a rapidly growing number of practical applications. Despite their popularity and widespread use, there are still many aspects of training and classification that are…

Machine Learning · Computer Science 2016-05-03 Ewout van den Berg

It is well accepted that convolutional neural networks play an important role in learning excellent features for image classification and recognition. However, in tradition they only allow adjacent layers connected, limiting integration of…

Computer Vision and Pattern Recognition · Computer Science 2017-10-04 Yujian Li , Ting Zhang , Zhaoying Liu , Haihe Hu

The goal of this work is to shed light on the remarkable phenomenon of transition to linearity of certain neural networks as their width approaches infinity. We show that the transition to linearity of the model and, equivalently, constancy…

Machine Learning · Computer Science 2021-02-23 Chaoyue Liu , Libin Zhu , Mikhail Belkin

The NTK is a widely used tool in the theoretical analysis of deep learning, allowing us to look at supervised deep neural networks through the lenses of kernel regression. Recently, several works have investigated kernel models for…

Machine Learning · Computer Science 2025-05-06 Maximilian Fleissner , Gautham Govind Anil , Debarghya Ghoshdastidar

Artificial neural networks have revolutionized machine learning in recent years, but a complete theoretical framework for their learning process is still lacking. Substantial advances were achieved for wide networks, within two disparate…

Machine Learning · Computer Science 2025-05-09 Yehonatan Avidan , Qianyi Li , Haim Sompolinsky

The performance of the data-dependent neural tangent kernel (NTK; Jacot et al. (2018)) associated with a trained deep neural network (DNN) often matches or exceeds that of the full network. This implies that DNN training via gradient…

Machine Learning · Computer Science 2025-05-22 Johannes Schwab , Bryan Kelly , Semyon Malamud , Teng Andrea Xu
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