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In many important statistical applications, the number of variables or parameters $p$ is much larger than the number of observations $n$. Suppose then that we have observations $y=X\beta+z$, where $\beta\in\mathbf{R}^p$ is a parameter…

Statistics Theory · Mathematics 2009-09-29 Emmanuel Candes , Terence Tao

Data augmentation policies drastically improve the performance of image recognition tasks, especially when the policies are optimized for the target data and tasks. In this paper, we propose to optimize image recognition models and data…

Computer Vision and Pattern Recognition · Computer Science 2020-06-16 Ryuichiro Hataya , Jan Zdenek , Kazuki Yoshizoe , Hideki Nakayama

Convolutional neural networks require numerous data for training. Considering the difficulties in data collection and labeling in some specific tasks, existing approaches generally use models pre-trained on a large source domain (e.g.…

Computer Vision and Pattern Recognition · Computer Science 2019-09-06 Zhichen Zhao , Bowen Zhang , Yuning Jiang , Li Xu , Lei Li , Wei-Ying Ma

Data augmentation (DA) is a widely used technique for enhancing the training of deep neural networks. Recent DA techniques which achieve state-of-the-art performance always meet the need for diversity in augmented training samples. However,…

Computer Vision and Pattern Recognition · Computer Science 2022-12-06 Chenyang Wang , Junjun Jiang , Xiong Zhou , Xianming Liu

This paper develops a spatially resolved perturbation theory for singular vectors under high-dimensional separable noise and applies it to data-driven matrix recovery. In the asymptotic regime where the matrix dimensions are proportional…

Spectral Theory · Mathematics 2026-03-16 Pei-Chun Su

Domain adaptation (DA) aims at transferring knowledge from a labeled source domain to an unlabeled target domain. Though many DA theories and algorithms have been proposed, most of them are tailored into classification settings and may fail…

Computer Vision and Pattern Recognition · Computer Science 2021-06-07 Junguang Jiang , Yifei Ji , Ximei Wang , Yufeng Liu , Jianmin Wang , Mingsheng Long

Machine learning pipelines often rely on optimization procedures to make discrete decisions (e.g., sorting, picking closest neighbors, or shortest paths). Although these discrete decisions are easily computed, they break the…

Machine Learning · Computer Science 2020-06-11 Quentin Berthet , Mathieu Blondel , Olivier Teboul , Marco Cuturi , Jean-Philippe Vert , Francis Bach

Analyzing the worst-case performance of deep neural networks against input perturbations amounts to solving a large-scale non-convex optimization problem, for which several past works have proposed convex relaxations as a promising…

Machine Learning · Computer Science 2022-07-11 Shaoru Chen , Eric Wong , J. Zico Kolter , Mahyar Fazlyab

The data preprocessing stage is crucial in clustering. Features may describe entities using different scales. To rectify this, one usually applies feature normalisation aiming at rescaling features so that none of them overpowers the others…

Machine Learning · Computer Science 2021-04-26 Renato Cordeiro de Amorim , Vladimir Makarenkov

The exponential growth of volume, variety and velocity of data is raising the need for investigations of automated or semi-automated ways to extract useful patterns from the data. It requires deep expert knowledge and extensive…

Machine Learning · Computer Science 2020-07-22 Abbas Raza Ali , Marcin Budka , Bogdan Gabrys

Existing domain adaptation methods assume that domain discrepancies are caused by a few discrete attributes and variations, e.g., art, real, painting, quickdraw, etc. We argue that this is not realistic as it is implausible to define the…

Computer Vision and Pattern Recognition · Computer Science 2022-08-30 Yinsong Xu , Zhuqing Jiang , Aidong Men , Yang Liu , Qingchao Chen

We propose \textit{Meta-Regularization}, a novel approach for the adaptive choice of the learning rate in first-order gradient descent methods. Our approach modifies the objective function by adding a regularization term on the learning…

Machine Learning · Computer Science 2021-04-13 Guangzeng Xie , Hao Jin , Dachao Lin , Zhihua Zhang

Deep artificial neural networks require a large corpus of training data in order to effectively learn, where collection of such training data is often expensive and laborious. Data augmentation overcomes this issue by artificially inflating…

Machine Learning · Computer Science 2017-08-22 Luke Taylor , Geoff Nitschke

Existing domain adaptation methods aim at learning features that can be generalized among domains. These methods commonly require to update source classifier to adapt to the target domain and do not properly handle the trade off between the…

Computer Vision and Pattern Recognition · Computer Science 2020-03-02 Shaokai Ye , Kailu Wu , Mu Zhou , Yunfei Yang , Sia huat Tan , Kaidi Xu , Jiebo Song , Chenglong Bao , Kaisheng Ma

We study large-scale classification problems in changing environments where a small part of the dataset is modified, and the effect of the data modification must be quickly incorporated into the classifier. When the entire dataset is large,…

Machine Learning · Statistics 2016-06-02 Hiroyuki Hanada , Atsushi Shibagaki , Jun Sakuma , Ichiro Takeuchi

Computer vision has flourished in recent years thanks to Deep Learning advancements, fast and scalable hardware solutions and large availability of structured image data. Convolutional Neural Networks trained on supervised tasks with…

Computer Vision and Pattern Recognition · Computer Science 2021-08-23 Antono D'Innocente

Originally designed for applications in computer graphics, visual computing (VC) methods synthesize information about physical and virtual worlds, using prescribed algorithms optimized for spatial computing. VC is used to analyze geometry,…

We present a collection of algorithms which utilize dimensional reduction to perform mesh refinement and study possibly singular solutions of time-dependent partial differential equations. The algorithms are inspired by constructions used…

Numerical Analysis · Mathematics 2007-06-21 Panagiotis Stinis

In the presence of large sets of labeled data, Deep Learning (DL) has accomplished extraordinary triumphs in the avenue of computer vision, particularly in object classification and recognition tasks. However, DL cannot always perform well…

Computer Vision and Pattern Recognition · Computer Science 2019-01-03 Mohammad Mahfujur Rahman , Clinton Fookes , Mahsa Baktashmotlagh , Sridha Sridharan

Test-time adaptation (TTA) is a task that continually adapts a pre-trained source model to the target domain during inference. One popular approach involves fine-tuning model with cross-entropy loss according to estimated pseudo-labels.…

Machine Learning · Computer Science 2024-01-26 Guowei Wang , Changxing Ding , Wentao Tan , Mingkui Tan
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