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When training deep neural networks with gradient descent, sharpness often increases -- a phenomenon known as progressive sharpening -- before saturating at the edge of stability. Although commonly observed in practice, the underlying…

Machine Learning · Computer Science 2025-06-10 Geonhui Yoo , Minhak Song , Chulhee Yun

Sharpness-Aware Minimization (SAM) has emerged as a powerful method for improving generalization in machine learning models by minimizing the sharpness of the loss landscape. However, despite its success, several important questions…

Optimization and Control · Mathematics 2025-03-05 Dimitris Oikonomou , Nicolas Loizou

We study a class of prediction problems in which relatively few observations have associated responses, but all observations include both standard covariates as well as additional "helper" covariates. While the end goal is to make…

Statistics Theory · Mathematics 2024-12-13 Eric Xia , Martin J. Wainwright

Sharpness-Aware Minimization (SAM) was recently introduced as a regularization procedure for training deep neural networks. It simultaneously minimizes the fitness (or loss) function and the so-called fitness sharpness. The latter serves as…

Neural and Evolutionary Computing · Computer Science 2024-05-20 Illya Bakurov , Nathan Haut , Wolfgang Banzhaf

We characterize the effectiveness of Sharpness-aware minimization (SAM) under machine unlearning scheme, where unlearning forget signals interferes with learning retain signals. While previous work prove that SAM improves generalization…

Machine Learning · Computer Science 2026-03-10 Haoran Tang , Rajiv Khanna

Sharpness-Aware Minimization (SAM) has been instrumental in improving deep neural network training by minimizing both training loss and loss sharpness. Despite the practical success, the mechanisms behind SAM's generalization enhancements…

Machine Learning · Computer Science 2024-03-20 Tao Li , Pan Zhou , Zhengbao He , Xinwen Cheng , Xiaolin Huang

Stochastic gradient descent (SGD) is a popular and efficient method with wide applications in training deep neural nets and other nonconvex models. While the behavior of SGD is well understood in the convex learning setting, the existing…

Machine Learning · Computer Science 2019-12-16 Yunwen Lei , Ting Hu , Guiying Li , Ke Tang

Spiking neural networks are becoming increasingly popular for their low energy requirement in real-world tasks with accuracy comparable to the traditional ANNs. SNN training algorithms face the loss of gradient information and…

Machine Learning · Computer Science 2023-02-07 Bhaskar Mukhoty , Velibor Bojkovic , William de Vazelhes , Giulia De Masi , Huan Xiong , Bin Gu

Stability arguments are often used to prevent learning algorithms from having ever increasing activity and weights that hinder generalization. However, stability conditions can clash with the sparsity required to augment the energy…

Neural and Evolutionary Computing · Computer Science 2024-01-08 Luca Herranz-Celotti , Jean Rouat

Sharpness-Aware Minimization (SAM) has recently emerged as a robust technique for improving the accuracy of deep neural networks. However, SAM incurs a high computational cost in practice, requiring up to twice as much computation as…

Machine Learning · Computer Science 2022-10-25 Renkun Ni , Ping-yeh Chiang , Jonas Geiping , Micah Goldblum , Andrew Gordon Wilson , Tom Goldstein

Spiking neural networks (SNNs) are different from the classical networks used in deep learning: the neurons communicate using electrical impulses called spikes, just like biological neurons. SNNs are appealing for AI technology, because…

Neural and Evolutionary Computing · Computer Science 2022-01-10 Nandan Meda

Evolutionary Strategies (ES) are known to be an effective black-box optimization technique for deep neural networks when the true gradients cannot be computed, such as in Reinforcement Learning. We continue a recent line of research that…

Neural and Evolutionary Computing · Computer Science 2019-10-14 Florian Meier , Asier Mujika , Marcelo Matheus Gauy , Angelika Steger

Deep spiking neural networks (SNNs) support asynchronous event-driven computation, massive parallelism and demonstrate great potential to improve the energy efficiency of its synchronous analog counterpart. However, insufficient attention…

Neural and Evolutionary Computing · Computer Science 2019-02-18 Jibin Wu , Yansong Chua , Malu Zhang , Qu Yang , Guoqi Li , Haizhou Li

State-of-the-art training algorithms for deep learning models are based on stochastic gradient descent (SGD). Recently, many variations have been explored: perturbing parameters for better accuracy (such as in Extragradient), limiting SGD…

Machine Learning · Computer Science 2022-03-23 Amirkeivan Mohtashami , Martin Jaggi , Sebastian U. Stich

Sharpness-Aware Minimization (SAM) enhances generalization by minimizing the maximum training loss within a predefined neighborhood around the parameters. However, its practical implementation approximates this as gradient ascent(s)…

Machine Learning · Computer Science 2026-03-12 Jianlong Chen , Zhiming Zhou

The discontinuous operations inherent in quantization and sparsification introduce a long-standing obstacle to backpropagation, particularly in ultra-low precision and sparse regimes. While the community has long viewed quantization as…

Machine Learning · Computer Science 2026-03-11 Chengxi Ye , Grace Chu , Yanfeng Liu , Yichi Zhang , Lukasz Lew , Li Zhang , Mark Sandler , Andrew Howard

Stochastic Petri Nets (SPNs) are an increasingly popular tool of choice for modeling discrete-event dynamics in areas such as epidemiology and systems biology, yet their parameter estimation remains challenging in general and in particular…

Machine Learning · Computer Science 2025-12-09 Bright Kwaku Manu , Trevor Reckell , Beckett Sterner , Petar Jevtic

Sharpness-aware minimization (SAM) is a recently proposed method that minimizes the sharpness of the training loss of a neural network. While its generalization improvement is well-known and is the primary motivation, we uncover an…

Machine Learning · Computer Science 2023-10-31 Maksym Andriushchenko , Dara Bahri , Hossein Mobahi , Nicolas Flammarion

Sharpness-Aware Minimization (SAM) has recently emerged as an effective technique for improving DNN robustness to input variations. However, its interplay with the compactness requirements of on-device DNN deployments remains less explored.…

Computer Vision and Pattern Recognition · Computer Science 2026-01-29 Jialuo He , Huangxun Chen

Spiking Neural Networks (SNNs) operate with asynchronous discrete events (or spikes) which can potentially lead to higher energy-efficiency in neuromorphic hardware implementations. Many works have shown that an SNN for inference can be…

Machine Learning · Computer Science 2020-05-06 Nitin Rathi , Gopalakrishnan Srinivasan , Priyadarshini Panda , Kaushik Roy
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