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The bias-variance trade-off is a central concept in supervised learning. In classical statistics, increasing the complexity of a model (e.g., number of parameters) reduces bias but also increases variance. Until recently, it was commonly…

Machine Learning · Statistics 2022-03-25 Jason W. Rocks , Pankaj Mehta

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

Overparameterized models may have many interpolating solutions; implicit regularization refers to the hidden preference of a particular optimization method towards a certain interpolating solution among the many. A by now established line…

Machine Learning · Computer Science 2024-09-18 Hung-Hsu Chou , Holger Rauhut , Rachel Ward

We introduce a dynamic sparse training algorithm based on linearized Bregman iterations / mirror descent that exploits the naturally incurred sparsity by alternating between periods of static and dynamic sparsity pattern updates. The key…

Machine Learning · Computer Science 2026-05-19 Yannick Lunk , Sebastian J. Scott , Leon Bungert

As part of the effort to understand implicit bias of gradient descent in overparametrized models, several results have shown how the training trajectory on the overparametrized model can be understood as mirror descent on a different…

Machine Learning · Computer Science 2022-07-11 Zhiyuan Li , Tianhao Wang , JasonD. Lee , Sanjeev Arora

Masked image modeling (MIM) as pre-training is shown to be effective for numerous vision downstream tasks, but how and where MIM works remain unclear. In this paper, we compare MIM with the long-dominant supervised pre-trained models from…

Computer Vision and Pattern Recognition · Computer Science 2022-05-30 Zhenda Xie , Zigang Geng , Jingcheng Hu , Zheng Zhang , Han Hu , Yue Cao

A core capability of intelligent systems is the ability to quickly learn new tasks by drawing on prior experience. Gradient (or optimization) based meta-learning has recently emerged as an effective approach for few-shot learning. In this…

Machine Learning · Computer Science 2019-09-11 Aravind Rajeswaran , Chelsea Finn , Sham Kakade , Sergey Levine

The challenge of fine-grained visual recognition often lies in discovering the key discriminative regions. While such regions can be automatically identified from a large-scale labeled dataset, a similar method might become less effective…

Computer Vision and Pattern Recognition · Computer Science 2022-08-02 Yangyang Shu , Baosheng Yu , Haiming Xu , Lingqiao Liu

Recent works find that AI algorithms learn biases from data. Therefore, it is urgent and vital to identify biases in AI algorithms. However, the previous bias identification pipeline overly relies on human experts to conjecture potential…

Computer Vision and Pattern Recognition · Computer Science 2021-10-05 Zhiheng Li , Chenliang Xu

The paper investigates the fundamental convergence properties of Sharpness-Aware Minimization (SAM), a recently proposed gradient-based optimization method [Foret et al., 2021] that significantly improves the generalization of deep neural…

Optimization and Control · Mathematics 2024-10-22 Pham Duy Khanh , Hoang-Chau Luong , Boris S. Mordukhovich , Dat Ba Tran

Boosting as gradient descent algorithms is one popular method in machine learning. In this paper a novel Boosting-type algorithm is proposed based on restricted gradient descent with structural sparsity control whose underlying dynamics are…

Machine Learning · Statistics 2017-04-18 Chendi Huang , Xinwei Sun , Jiechao Xiong , Yuan Yao

Metric learning aims to learn a highly discriminative model encouraging the embeddings of similar classes to be close in the chosen metrics and pushed apart for dissimilar ones. The common recipe is to use an encoder to extract embeddings…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Aleksandr Ermolov , Leyla Mirvakhabova , Valentin Khrulkov , Nicu Sebe , Ivan Oseledets

The past decade has witnessed a surge of endeavors in statistical inference for high-dimensional sparse regression, particularly via de-biasing or relaxed orthogonalization. Nevertheless, these techniques typically require a more stringent…

Statistics Theory · Mathematics 2021-11-29 Yang Li , Zemin Zheng , Jia Zhou , Ziwei Zhu

Many scenes in real life can be abstracted to the sparse reward visual scenes, where it is difficult for an agent to tackle the task under the condition of only accepting images and sparse rewards. We propose to decompose this problem into…

Artificial Intelligence · Computer Science 2022-05-20 Zheng Fang , Biao Zhao , Guizhong Liu

Models with fewer parameters are often easier to interpret and more robust. Parsimony can be achieved through optimizing objectives like the AIC or BIC, which are functions of the the number of free parameters in the model. Optimizing this…

Methodology · Statistics 2026-04-21 Mateen R Shaikh

Modern deep neural networks (DNNs) have achieved state-of-the-art performances but are typically over-parameterized. The over-parameterization may result in undesirably large generalization error in the absence of other customized training…

Machine Learning · Computer Science 2023-03-03 Jiawei Du , Daquan Zhou , Jiashi Feng , Vincent Y. F. Tan , Joey Tianyi Zhou

Representing visual signals with implicit coordinate-based neural networks, as an effective replacement of the traditional discrete signal representation, has gained considerable popularity in computer vision and graphics. In contrast to…

Computer Vision and Pattern Recognition · Computer Science 2023-04-26 Xin Huang , Qi Zhang , Ying Feng , Hongdong Li , Qing Wang

Diffuse optical tomography (DOT) is a severely ill-posed nonlinear inverse problem that seeks to estimate optical parameters from boundary measurements. In the Bayesian framework, the ill-posedness is diminished by incorporating {\em a…

Numerical Analysis · Mathematics 2023-12-06 Anssi Manninen , Meghdoot Mozumder , Tanja Tarvainen , Andreas Hauptmann

Effective clinical deployment of deep learning models in healthcare demands high generalization performance to ensure accurate diagnosis and treatment planning. In recent years, significant research has focused on improving the…

Image and Video Processing · Electrical Eng. & Systems 2025-10-22 Mohamed Hassan , Aleksandar Vakanski , Min Xian

Hyperspectral unmixing (HU) plays a fundamental role in a wide range of hyperspectral applications. It is still challenging due to the common presence of outlier channels and the large solution space. To address the above two issues, we…

Computer Vision and Pattern Recognition · Computer Science 2017-08-29 Feiyun Zhu , Ying Wang , Bin Fan , Gaofeng Meng , Chunhong Pan