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While deep learning in the form of recurrent neural networks (RNNs) has caused a significant improvement in neural language modeling, the fact that they are extremely prone to overfitting is still a mainly unresolved issue. In this paper we…

Computation and Language · Computer Science 2022-11-18 Sajad Movahedi , Azadeh Shakery

Parameter-efficient fine-tuning for continual learning (PEFT-CL) has shown promise in adapting pre-trained models to sequential tasks while mitigating catastrophic forgetting problem. However, understanding the mechanisms that dictate…

Machine Learning · Computer Science 2026-02-27 Jingren Liu , Zhong Ji , YunLong Yu , Jiale Cao , Yanwei Pang , Jungong Han , Xuelong Li

Knowing whether a Quantum Machine Learning model would perform well on a given dataset before training it can help to save critical resources. However, gathering a priori information about model performance (e.g., training speed, critical…

Quantum Physics · Physics 2025-03-05 Francesco Scala , Christa Zoufal , Dario Gerace , Francesco Tacchino

The Neural Tangent Kernel (NTK) characterizes the behavior of infinitely-wide neural networks trained under least squares loss by gradient descent. Recent works also report that NTK regression can outperform finitely-wide neural networks…

Machine Learning · Computer Science 2021-12-09 Amir Zandieh , Insu Han , Haim Avron , Neta Shoham , Chaewon Kim , Jinwoo Shin

Given the complexity of genetic risk prediction, there is a critical need for the development of novel methodologies that can effectively capture intricate genotype--phenotype relationships (e.g., nonlinear) while remaining statistically…

Applications · Statistics 2025-10-03 Heng Ge , Qing Lu

We investigate the mathematical foundations of neural networks in the infinite-width regime through the Neural Tangent Kernel (NTK). We propose the NTK-Eigenvalue-Controlled Residual Network (NTK-ECRN), an architecture integrating Fourier…

Adversarial training (AT) has been demonstrated as one of the most promising defense methods against various adversarial attacks. To our knowledge, existing AT-based methods usually train with the locally most adversarial perturbed points…

Computer Vision and Pattern Recognition · Computer Science 2021-09-07 Chuanbiao Song , Yanbo Fan , Yichen Yang , Baoyuan Wu , Yiming Li , Zhifeng Li , Kun He

For years, adversarial training has been extensively studied in natural language processing (NLP) settings. The main goal is to make models robust so that similar inputs derive in semantically similar outcomes, which is not a trivial…

Computation and Language · Computer Science 2021-09-21 Daniela N. Rim , DongNyeong Heo , Heeyoul Choi

The prevailing thinking is that orthogonal weights are crucial to enforcing dynamical isometry and speeding up training. The increase in learning speed that results from orthogonal initialization in linear networks has been well-proven.…

Machine Learning · Computer Science 2021-07-22 Wei Huang , Weitao Du , Richard Yi Da Xu

This work bridges two important concepts: the Neural Tangent Kernel (NTK), which captures the evolution of deep neural networks (DNNs) during training, and the Neural Collapse (NC) phenomenon, which refers to the emergence of symmetry and…

Machine Learning · Computer Science 2023-11-07 Mariia Seleznova , Dana Weitzner , Raja Giryes , Gitta Kutyniok , Hung-Hsu Chou

Understanding the learning dynamics of neural networks is a central topic in the deep learning community. In this paper, we take an empirical perspective to study the learning dynamics of neural networks in real-world settings.…

Machine Learning · Computer Science 2025-04-15 Zhanpeng Zhou , Yongyi Yang , Jie Ren , Mahito Sugiyama , Junchi Yan

Recent efforts show that neural networks are vulnerable to small but intentional perturbations on input features in visual classification tasks. Due to the additional consideration of connections between examples (\eg articles with citation…

Machine Learning · Computer Science 2019-12-17 Fuli Feng , Xiangnan He , Jie Tang , Tat-Seng Chua

In this paper, we study a new learning paradigm for Neural Machine Translation (NMT). Instead of maximizing the likelihood of the human translation as in previous works, we minimize the distinction between human translation and the…

Computation and Language · Computer Science 2018-10-02 Lijun Wu , Yingce Xia , Li Zhao , Fei Tian , Tao Qin , Jianhuang Lai , Tie-Yan Liu

While deep learning has achieved remarkable success across a wide range of applications, its theoretical understanding of representation learning remains limited. Deep neural kernels provide a principled framework to interpret…

Machine Learning · Computer Science 2025-11-11 Yong-Ming Tian , Shuang Liang , Shao-Qun Zhang , Feng-Lei Fan

Adversarial Training (AT) has been found to substantially improve the robustness of deep learning classifiers against adversarial attacks. AT involves obtaining robustness by including adversarial examples in training a classifier. Most…

Machine Learning · Computer Science 2023-07-17 Olukorede Fakorede , Ashutosh Kumar Nirala , Modeste Atsague , Jin Tian

Adversarial training is a defense technique that improves adversarial robustness of a deep neural network (DNN) by including adversarial examples in the training data. In this paper, we identify an overlooked problem of adversarial training…

Machine Learning · Computer Science 2020-09-24 Wonseok Lee , Hanbit Lee , Sang-goo Lee

Recent research showed that deep neural networks are highly sensitive to so-called adversarial perturbations, which are tiny perturbations of the input data purposely designed to fool a machine learning classifier. Most classification…

Machine Learning · Computer Science 2018-01-15 Akram Erraqabi , Aristide Baratin , Yoshua Bengio , Simon Lacoste-Julien

Adversarial training (AT) is one of the most effective strategies for promoting model robustness. However, recent benchmarks show that most of the proposed improvements on AT are less effective than simply early stopping the training…

Machine Learning · Computer Science 2021-04-01 Tianyu Pang , Xiao Yang , Yinpeng Dong , Hang Su , Jun Zhu

Adversarial training (AT) as a regularization method has proved its effectiveness in various tasks, such as image classification and text classification. Though there are successful applications of AT in many tasks of natural language…

Computation and Language · Computer Science 2019-11-12 Ziqing Yang , Yiming Cui , Wanxiang Che , Ting Liu , Shijin Wang , Guoping Hu

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