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Related papers: FAM: Relative Flatness Aware Minimization

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Model robustness indicates a model's capability to generalize well on unforeseen distributional shifts, including data corruptions and adversarial attacks. Data augmentation is one of the most prevalent and effective ways to enhance…

Machine Learning · Computer Science 2025-12-16 Weebum Yoo , Sung Whan Yoon

Toward achieving robust and defensive neural networks, the robustness against the weight parameters perturbations, i.e., sharpness, attracts attention in recent years (Sun et al., 2020). However, sharpness is known to remain a critical…

Machine Learning · Computer Science 2021-06-29 Hikaru Ibayashi , Takuo Hamaguchi , Masaaki Imaizumi

It has been intensively investigated that the local shape, especially flatness, of the loss landscape near a minimum plays an important role for generalization of deep models. We developed a training algorithm called PoF: Post-Training of…

Machine Learning · Computer Science 2022-07-06 Ikuro Sato , Ryota Yamada , Masayuki Tanaka , Nakamasa Inoue , Rei Kawakami

We study the following version of cut sparsification. Given a large edge-weighted network $G$ with $k$ terminal vertices, compress it into a smaller network $H$ with the same terminals, such that every minimum terminal cut in $H$…

Data Structures and Algorithms · Computer Science 2019-10-08 Robert Krauthgamer , Havana , Rika

Sharpness-aware minimization (SAM) encourages flat minima by perturbing parameters along directions of high loss curvature, but treats all parameter directions uniformly, ignoring the underlying loss geometry. We introduce LLQR+SAM, which…

Machine Learning · Computer Science 2026-05-18 Simon Dufort-Labbé , Mehrab Hamidi , Razvan Pascanu , Ioannis Mitliagkas , Damien Scieur , Aristide Baratin

Recent work has shown that methods like SAM which either explicitly or implicitly penalize second order information can improve generalization in deep learning. Seemingly similar methods like weight noise and gradient penalties often fail…

Machine Learning · Computer Science 2024-01-26 Yann N. Dauphin , Atish Agarwala , Hossein Mobahi

We present an adaptive regularization scheme for optimizing composite energy functionals arising in image analysis problems. The scheme automatically trades off data fidelity and regularization depending on the current data fit during the…

Computer Vision and Pattern Recognition · Computer Science 2017-05-10 Byung-Woo Hong , Ja-Keoung Koo , Martin Burger , Stefano Soatto

Low-rank tensor completion problem aims to recover a tensor from limited observations, which has many real-world applications. Due to the easy optimization, the convex overlapping nuclear norm has been popularly used for tensor completion.…

Machine Learning · Computer Science 2019-01-24 Quanming Yao , James T Kwok , Bo Han

The generalization performance of deep neural networks (DNNs) is a critical factor in achieving robust model behavior on unseen data. Recent studies have highlighted the importance of sharpness-based measures in promoting generalization by…

Machine Learning · Computer Science 2025-01-28 Mohamed Hassan , Aleksandar Vakanski , Boyu Zhang , Min Xian

The notion of flat minima has played a key role in the generalization studies of deep learning models. However, existing definitions of the flatness are known to be sensitive to the rescaling of parameters. The issue suggests that the…

Machine Learning · Statistics 2019-01-29 Yusuke Tsuzuku , Issei Sato , Masashi Sugiyama

It was empirically confirmed by Keskar et al.\cite{SharpMinima} that flatter minima generalize better. However, for the popular ReLU network, sharp minimum can also generalize well \cite{SharpMinimacan}. The conclusion demonstrates that the…

Machine Learning · Computer Science 2019-03-07 Mingyang Yi , Qi Meng , Wei Chen , Zhi-ming Ma , Tie-Yan Liu

Domain generalization aims to learn a model from multiple training domains and generalize it to unseen test domains. Recent theory has shown that seeking the deep models, whose parameters lie in the flat minima of the loss landscape, can…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Aodi Li , Liansheng Zhuang , Xiao Long , Minghong Yao , Shafei Wang

In federated learning (FL), models must \emph{converge quickly} under tight communication budgets while \emph{generalizing} across non-IID client distributions. These twin requirements have naturally led to two widely used techniques:…

Machine Learning · Computer Science 2025-12-01 Tianle Li , Yongzhi Huang , Linshan Jiang , Chang Liu , Qipeng Xie , Wenfeng Du , Lu Wang , Kaishun Wu

We consider the sparsification of sums $F : \mathbb{R}^n \to \mathbb{R}$ where $F(x) = f_1(\langle a_1,x\rangle) + \cdots + f_m(\langle a_m,x\rangle)$ for vectors $a_1,\ldots,a_m \in \mathbb{R}^n$ and functions $f_1,\ldots,f_m : \mathbb{R}…

Data Structures and Algorithms · Computer Science 2023-12-01 Arun Jambulapati , James R. Lee , Yang P. Liu , Aaron Sidford

Sharpness-aware minimization (SAM) is to improve model generalization by searching for flat minima in the loss landscape. The SAM update consists of one step for computing the perturbation and the other for computing the update gradient.…

Machine Learning · Computer Science 2024-08-16 Xuehao Wang , Weisen Jiang , Shuai Fu , Yu Zhang

The Sharpness Aware Minimization (SAM) optimization algorithm has been shown to control large eigenvalues of the loss Hessian and provide generalization benefits in a variety of settings. The original motivation for SAM was a modified loss…

Machine Learning · Computer Science 2023-02-20 Atish Agarwala , Yann N. Dauphin

Deep neural networks are easily fooled by small perturbations known as adversarial attacks. Adversarial Training (AT) is a technique aimed at learning features robust to such attacks and is widely regarded as a very effective defense.…

Machine Learning · Computer Science 2020-09-11 Theodoros Tsiligkaridis , Jay Roberts

While the traditional formulation of machine learning tasks is in terms of performance on average, in practice we are often interested in how well a trained model performs on rare or difficult data points at test time. To achieve more…

Machine Learning · Computer Science 2025-12-29 Matthew J. Holland , Toma Hamada

Sharpness-aware minimization (SAM) reports improving domain generalization by reducing the loss surface curvature in the parameter space. However, generalization during fine-tuning is often more dependent on the transferability of…

Machine Learning · Computer Science 2024-03-13 Tom Sherborne , Naomi Saphra , Pradeep Dasigi , Hao Peng

Quantization lowers memory usage, computational requirements, and latency by utilizing fewer bits to represent model weights and activations. In this work, we investigate the generalization properties of quantized neural networks, a…