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In this paper we present a comprehensive framework for learning robust low-rank representations by combining and extending recent ideas for learning fast sparse coding regressors with structured non-convex optimization techniques. This…

机器学习 · 计算机科学 2012-10-01 Pablo Sprechmann , Alex M. Bronstein , Guillermo Sapiro

We propose and analyze a novel framework for learning sparse representations, based on two statistical techniques: kernel smoothing and marginal regression. The proposed approach provides a flexible framework for incorporating feature…

机器学习 · 统计学 2012-10-04 Krishnakumar Balasubramanian , Kai Yu , Guy Lebanon

Recent image degradation estimation methods have enabled single-image super-resolution (SR) approaches to better upsample real-world images. Among these methods, explicit kernel estimation approaches have demonstrated unprecedented…

计算机视觉与模式识别 · 计算机科学 2023-11-01 Royson Lee , Rui Li , Stylianos I. Venieris , Timothy Hospedales , Ferenc Huszár , Nicholas D. Lane

Robust principal component analysis (RPCA) is a critical tool in modern machine learning, which detects outliers in the task of low-rank matrix reconstruction. In this paper, we propose a scalable and learnable non-convex approach for…

机器学习 · 计算机科学 2023-02-28 HanQin Cai , Jialin Liu , Wotao Yin

The accuracy and complexity of machine learning algorithms based on kernel optimization are determined by the set of kernels over which they are able to optimize. An ideal set of kernels should: admit a linear parameterization (for…

机器学习 · 统计学 2024-10-30 Aleksandr Talitckii , Brendon K. Colbert , Matthew M. Peet

We study the problem of tensor robust principal component analysis (TRPCA), which aims to separate an underlying low-multilinear-rank tensor and a sparse outlier tensor from their sum. In this work, we propose a fast non-convex algorithm,…

机器学习 · 计算机科学 2021-10-13 HanQin Cai , Zehan Chao , Longxiu Huang , Deanna Needell

Regularized empirical risk minimization including support vector machines plays an important role in machine learning theory. In this paper regularized pairwise learning (RPL) methods based on kernels will be investigated. One example is…

统计理论 · 数学 2015-10-13 Andreas Christmann , Ding-Xuan Zhou

In the last decade, a considerable research effort has been devoted to developing adaptive algorithms based on kernel functions. One of the main features of these algorithms is that they form a family of universal approximation techniques,…

信号处理 · 电气工程与系统科学 2018-08-21 A. Flores , R. C. de Lamare

Robust tensor principal component analysis (RTPCA) aims to separate the low-rank and sparse components from multi-dimensional data, making it an essential technique in the signal processing and computer vision fields. Recently emerging…

计算机视觉与模式识别 · 计算机科学 2025-01-20 Lanlan Feng , Ce Zhu , Yipeng Liu , Saiprasad Ravishankar , Longxiu Huang

With the development of Earth observation technology, very-high-resolution (VHR) image has become an important data source of change detection. Nowadays, deep learning methods have achieved conspicuous performance in the change detection of…

图像与视频处理 · 电气工程与系统科学 2019-12-19 Chen Wu , Hongruixuan Chen , Bo Do , Liangpei Zhang

The acceleration of pruned Deep Neural Networks (DNNs) on edge devices such as Microcontrollers (MCUs) is a challenging task, given the tight area- and power-constraints of these devices. In this work, we propose a three-fold contribution…

We study the tensor robust principal component analysis (TRPCA) problem, a tensorial extension of matrix robust principal component analysis (RPCA), that aims to split the given tensor into an underlying low-rank component and a sparse…

数值分析 · 数学 2024-01-30 HanQin Cai , Zehan Chao , Longxiu Huang , Deanna Needell

Recently, classical kernel methods have been extended by the introduction of suitable tensor kernels so to promote sparsity in the solution of the underlying regression problem. Indeed, they solve an lp-norm regularization problem, with…

机器学习 · 计算机科学 2020-03-25 Feliks Hibraj , Marcello Pelillo , Saverio Salzo , Massimiliano Pontil

Dataset bias has attracted increasing attention recently for its detrimental effect on the generalization ability of fine-tuned models. The current mainstream solution is designing an additional shallow model to pre-identify biased…

计算与语言 · 计算机科学 2022-10-17 Songyang Gao , Shihan Dou , Qi Zhang , Xuanjing Huang

Low-dose positron emission tomography (PET) image reconstruction methods have potential to significantly improve PET as an imaging modality. Deep learning provides a promising means of incorporating prior information into the image…

计算机视觉与模式识别 · 计算机科学 2024-09-11 Cameron Dennis Pain , Yasmeen George , Alex Fornito , Gary Egan , Zhaolin Chen

In the context of deep learning with kernel machines, the deep Restricted Kernel Machine (DRKM) framework allows multiple levels of kernel PCA (KPCA) and Least-Squares Support Vector Machines (LSSVM) to be combined into a deep architecture…

机器学习 · 计算机科学 2023-08-30 Francesco Tonin , Panagiotis Patrinos , Johan A. K. Suykens

Recent advances in operator learning theory have improved our knowledge about learning maps between infinite dimensional spaces. However, for large-scale engineering problems such as concurrent multiscale simulation for mechanical…

机器学习 · 计算机科学 2022-12-05 Owen Huang , Sourav Saha , Jiachen Guo , Wing Kam Liu

RANSAC is a popular technique for estimating model parameters in the presence of outliers. The best speed is achieved when the minimum possible number of points is used to estimate hypotheses for the model. Many useful problems can be…

计算机视觉与模式识别 · 计算机科学 2010-07-09 Edward Rosten , Gerhard Reitmayr , Tom Drummond

Learned image compression methods have shown superior rate-distortion performance and remarkable potential compared to traditional compression methods. Most existing learned approaches use stacked convolution or window-based self-attention…

图像与视频处理 · 电气工程与系统科学 2024-01-03 Huairui Wang , Nianxiang Fu , Zhenzhong Chen , Shan Liu

Dimensionality reduction is a fundamental technique in machine learning and data analysis, enabling efficient representation and visualization of high-dimensional data. This paper explores five key methods: Principal Component Analysis…

其他统计学 · 统计学 2025-02-19 Yuan-chin Ivan Chang