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We investigate the effect of explicitly enforcing the Lipschitz continuity of neural networks with respect to their inputs. To this end, we provide a simple technique for computing an upper bound to the Lipschitz constant---for multiple…

机器学习 · 统计学 2020-08-11 Henry Gouk , Eibe Frank , Bernhard Pfahringer , Michael J. Cree

Effective regularisation of neural networks is essential to combat overfitting due to the large number of parameters involved. We present an empirical analogue to the Lipschitz constant of a feed-forward neural network, which we refer to as…

机器学习 · 统计学 2018-07-03 Henry Gouk , Bernhard Pfahringer , Eibe Frank , Michael Cree

Reinforcement learning (RL) has shown great potential in training agile and adaptable controllers for legged robots, enabling them to learn complex locomotion behaviors directly from experience. However, policies trained in simulation often…

机器人学 · 计算机科学 2026-03-23 Jaeyong Shin , Woohyun Cha , Donghyeon Kim , Junhyeok Cha , Jaeheung Park

Regularization can mitigate the generalization gap between training and inference by introducing inductive bias. Existing works have already proposed various inductive biases from diverse perspectives. However, none of them explores…

机器学习 · 计算机科学 2022-11-02 Qiang Fu , Lun Du , Haitao Mao , Xu Chen , Wei Fang , Shi Han , Dongmei Zhang

Since their invention, generative adversarial networks (GANs) have become a popular approach for learning to model a distribution of real (unlabeled) data. Convergence problems during training are overcome by Wasserstein GANs which minimize…

机器学习 · 统计学 2018-03-06 Henning Petzka , Asja Fischer , Denis Lukovnicov

Relying on the premise that the performance of a binary neural network can be largely restored with eliminated quantization error between full-precision weight vectors and their corresponding binary vectors, existing works of network…

机器学习 · 计算机科学 2022-07-19 Yuzhang Shang , Dan Xu , Bin Duan , Ziliang Zong , Liqiang Nie , Yan Yan

Graph neural networks (GNNs) have recently been demonstrated to perform well on a variety of network-based tasks such as decentralized control and resource allocation, and provide computationally efficient methods for these tasks which have…

机器学习 · 计算机科学 2021-12-15 Raghu Arghal , Eric Lei , Shirin Saeedi Bidokhti

The phenomenon of implicit regularization has attracted interest in recent years as a fundamental aspect of the remarkable generalizing ability of neural networks. In a nutshell, it entails that gradient descent dynamics in many neural…

机器学习 · 计算机科学 2024-02-28 Hong T. M. Chu , Subhro Ghosh , Chi Thanh Lam , Soumendu Sundar Mukherjee

This paper presents a margin-based multiclass generalization bound for neural networks that scales with their margin-normalized "spectral complexity": their Lipschitz constant, meaning the product of the spectral norms of the weight…

机器学习 · 计算机科学 2017-12-06 Peter Bartlett , Dylan J. Foster , Matus Telgarsky

We present the SCR framework for enhancing the training of graph neural networks (GNNs) with consistency regularization. Regularization is a set of strategies used in Machine Learning to reduce overfitting and improve the generalization…

社会与信息网络 · 计算机科学 2022-06-14 Chenhui Zhang , Yufei He , Yukuo Cen , Zhenyu Hou , Wenzheng Feng , Yuxiao Dong , Xu Cheng , Hongyun Cai , Feng He , Jie Tang

The Lipschitz constant of the map between the input and output space represented by a neural network is a natural metric for assessing the robustness of the model. We present a new method to constrain the Lipschitz constant of dense deep…

机器学习 · 计算机科学 2023-08-22 Ouail Kitouni , Niklas Nolte , Mike Williams

Various normalization layers have been proposed to help the training of neural networks. Group Normalization (GN) is one of the effective and attractive studies that achieved significant performances in the visual recognition task. Despite…

计算机视觉与模式识别 · 计算机科学 2022-07-06 Agus Gunawan , Xu Yin , Kang Zhang

Spectral normalization (SN) is a widely-used technique for improving the stability and sample quality of Generative Adversarial Networks (GANs). However, there is currently limited understanding of why SN is effective. In this work, we show…

机器学习 · 计算机科学 2021-04-09 Zinan Lin , Vyas Sekar , Giulia Fanti

Plasticity Loss is an increasingly important phenomenon that refers to the empirical observation that as a neural network is continually trained on a sequence of changing tasks, its ability to adapt to a new task diminishes over time. We…

机器学习 · 计算机科学 2025-09-30 Vivek F. Farias , Adam D. Jozefiak

Generative adversarial networks (GANs) are so complex that the existing learning theories do not provide a satisfactory explanation for why GANs have great success in practice. The same situation also remains largely open for deep neural…

机器学习 · 计算机科学 2022-02-15 Khoat Than , Nghia Vu

Normalization layers are critical components of modern AI systems, such as ChatGPT, Gemini, DeepSeek, etc. Empirically, they are known to stabilize training dynamics and improve generalization ability. However, the underlying theoretical…

机器学习 · 计算机科学 2026-02-24 Khoat Than

Generative Adversarial Networks (GANs) significantly advanced image generation but their performance heavily depends on abundant training data. In scenarios with limited data, GANs often struggle with discriminator overfitting and unstable…

机器学习 · 计算机科学 2025-03-18 Yao Ni , Piotr Koniusz

Graph Neural Networks (GNNs) have gained significant popularity for learning representations of graph-structured data due to their expressive power and scalability. However, despite their success in domains such as social network analysis,…

机器学习 · 计算机科学 2024-11-05 Maya Bechler-Speicher , Moshe Eliasof

Deep Neural Networks (DNNs) have begun to thrive in the field of automation systems, owing to the recent advancements in standardising various aspects such as architecture, optimization techniques, and regularization. In this paper, we take…

机器学习 · 计算机科学 2019-07-10 Anand Krishnamoorthy Subramanian , Nak Young Chong

We propose a sparse deep ReLU network (SDRN) estimator of the regression function obtained from regularized empirical risk minimization with a Lipschitz loss function. Our framework can be applied to a variety of regression and…

统计方法学 · 统计学 2024-12-11 Ke Huang , Mingming Liu , Shujie Ma
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