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Sharpness-aware minimization (SAM) has received increasing attention in computer vision since it can effectively eliminate the sharp local minima from the training trajectory and mitigate generalization degradation. However, SAM requires…

Machine Learning · Computer Science 2024-06-21 Yili Wang , Kaixiong Zhou , Ninghao Liu , Ying Wang , Xin Wang

While generalizing well over natural inputs, neural networks are vulnerable to adversarial inputs. Existing defenses against adversarial inputs have largely been detached from the real world. These defenses also come at a cost to accuracy.…

Machine Learning · Computer Science 2019-12-05 Varun Chandrasekaran , Brian Tang , Nicolas Papernot , Kassem Fawaz , Somesh Jha , Xi Wu

Flatness measures based on the spectrum or the trace of the Hessian of the loss are widely used as proxies for the generalization ability of deep networks. However, most existing definitions are either tailored to fully connected…

Machine Learning · Computer Science 2026-03-11 Rahman Taleghani , Maryam Mohammadi , Francesco Marchetti

Neural network interpretation methods, particularly feature attribution methods, are known to be fragile with respect to adversarial input perturbations. To address this, several methods for enhancing the local smoothness of the gradient…

Computer Vision and Pattern Recognition · Computer Science 2022-12-08 Sunghwan Joo , Seokhyeon Jeong , Juyeon Heo , Adrian Weller , Taesup Moon

Sharpness is an almost generic assumption in continuous optimization that bounds the distance from minima by objective function suboptimality. It facilitates the acceleration of first-order methods through restarts. However, sharpness…

Optimization and Control · Mathematics 2024-07-24 Ben Adcock , Matthew J. Colbrook , Maksym Neyra-Nesterenko

Recent experiments have shown that, often, when training a neural network with gradient descent (GD) with a step size $\eta$, the operator norm of the Hessian of the loss grows until it approximately reaches $2/\eta$, after which it…

Machine Learning · Computer Science 2024-06-07 Philip M. Long , Peter L. Bartlett

Compression of Neural Networks (NN) has become a highly studied topic in recent years. The main reason for this is the demand for industrial scale usage of NNs such as deploying them on mobile devices, storing them efficiently, transmitting…

Machine Learning · Statistics 2017-12-08 Marco Federici , Karen Ullrich , Max Welling

Network pruning is a commonly used measure to alleviate the storage and computational burden of deep neural networks. However, the fundamental limit of network pruning is still lacking. To close the gap, in this work we'll take a…

Machine Learning · Statistics 2025-10-20 Qiaozhe Zhang , Ruijie Zhang , Jun Sun , Yingzhuang Liu

We study the problem of certifying the robustness of Bayesian neural networks (BNNs) to adversarial input perturbations. Given a compact set of input points $T \subseteq \mathbb{R}^m$ and a set of output points $S \subseteq \mathbb{R}^n$,…

Machine Learning · Computer Science 2023-06-26 Matthew Wicker , Andrea Patane , Luca Laurenti , Marta Kwiatkowska

The capacity to generalize to future unseen data stands as one of the utmost crucial attributes of deep neural networks. Sharpness-Aware Minimization (SAM) aims to enhance the generalizability by minimizing worst-case loss using one-step…

Machine Learning · Computer Science 2023-12-27 Tao Wu , Tie Luo , Donald C. Wunsch

Neural networks that land in flat regions of the loss landscape tend to generalise better than those in sharp regions. Sharpness-Aware Minimisation exploits this to improve generalisation. But function-preserving reparameterisation can…

Machine Learning · Computer Science 2026-05-08 Michael Timothy Bennett

This paper presents a minimalist neural regression network as an aggregate of independent identical regression blocks that are trained simultaneously. Moreover, it introduces a new multiplicative parameter, shared by all the neural units of…

Machine Learning · Computer Science 2016-07-06 Soheil Keshmiri

Sharpness-aware minimization (SAM) has emerged as a highly effective technique to improve model generalization, but its underlying principles are not fully understood. We investigate m-sharpness, where SAM performance improves monotonically…

Machine Learning · Computer Science 2026-04-03 Haocheng Luo , Mehrtash Harandi , Dinh Phung , Trung Le

Convolutional and Recurrent, deep neural networks have been successful in machine learning systems for computer vision, reinforcement learning, and other allied fields. However, the robustness of such neural networks is seldom apprised,…

Neural and Evolutionary Computing · Computer Science 2018-05-01 Biswa Sengupta , Karl J. Friston

To achieve the low latency, high throughput, and energy efficiency benefits of Spiking Neural Networks (SNNs), reducing the memory and compute requirements when running on a neuromorphic hardware is an important step. Neuromorphic…

Neural and Evolutionary Computing · Computer Science 2021-08-25 Hin Wai Lui , Emre Neftci

Convolutional neural networks (CNNs) have demonstrated remarkable results in image classification for benchmark tasks and practical applications. The CNNs with deeper architectures have achieved even higher performance recently thanks to…

Computer Vision and Pattern Recognition · Computer Science 2019-04-15 Ryo Takahashi , Takashi Matsubara , Kuniaki Uehara

Neural networks (NNs) are central to modern machine learning and achieve state-of-the-art results in many applications. However, the relationship between loss geometry and generalization is still not well understood. The local geometry of…

Machine Learning · Computer Science 2026-04-15 Yuto Omae , Kazuki Sakai , Yohei Kakimoto , Makoto Sasaki , Yusuke Sakai , Hirotaka Takahashi

We adopt the statistical framework on robustness proposed by Watson and Holmes in 2016 and then tackle the practical challenges that hinder its applicability to network models. The goal is to evaluate how the quality of an inference for a…

Methodology · Statistics 2020-12-08 Marios Papamichalis , Simon Lunagomez , Patrick J. Wolfe

Spiking Neural Networks (SNNs) have attracted great attention for their energy-efficient operations and biologically inspired structures, offering potential advantages over Artificial Neural Networks (ANNs) in terms of energy efficiency and…

Neural and Evolutionary Computing · Computer Science 2024-06-03 Yujia Liu , Tong Bu , Jianhao Ding , Zecheng Hao , Tiejun Huang , Zhaofei Yu

In recent years, the notion of local robustness (or robustness for short) has emerged as a desirable property of deep neural networks. Intuitively, robustness means that small perturbations to an input do not cause the network to perform…

Programming Languages · Computer Science 2019-05-02 Greg Anderson , Shankara Pailoor , Isil Dillig , Swarat Chaudhuri
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