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We consider the problem of conformal prediction under covariate shift. Given labeled data from a source domain and unlabeled data from a covariate shifted target domain, we seek to construct prediction sets with valid marginal coverage in…

机器学习 · 统计学 2025-07-02 Sunay Joshi , Shayan Kiyani , George Pappas , Edgar Dobriban , Hamed Hassani

Motivated by cutting-edge applications like cryo-electron microscopy (cryo-EM), the Multi-Reference Alignment (MRA) model entails the learning of an unknown signal from repeated measurements of its images under the latent action of a group…

统计理论 · 数学 2022-03-11 Subhro Ghosh , Philippe Rigollet

Hyperspectral image (HSI) classification is an important task in many applications, such as environmental monitoring, medical imaging, and land use/land cover (LULC) classification. Due to the significant amount of spectral information from…

计算机视觉与模式识别 · 计算机科学 2026-05-06 Sertac Kilickaya , Mete Ahishali , Fahad Sohrab , Turker Ince , Moncef Gabbouj

Recently, hyperspectral imaging (HSI) has attracted increasing research attention, especially for the ones based on a coded aperture snapshot spectral imaging (CASSI) system. Existing deep HSI reconstruction models are generally trained on…

图像与视频处理 · 电气工程与系统科学 2022-09-27 Jiamian Wang , Yulun Zhang , Xin Yuan , Ziyi Meng , Zhiqiang Tao

Denoising is of utmost importance for the visualization and processing of images featuring low signal-to-noise ratio. Total variation methods are among the most popular techniques to perform this task improving the signal-to-noise ratio…

信号处理 · 电气工程与系统科学 2022-01-24 Gonzalo D. Maso Talou , Pablo J. Blanco

Currently, existing tensor recovery methods fail to recognize the impact of tensor scale variations on their structural characteristics. Furthermore, existing studies face prohibitive computational costs when dealing with large-scale…

机器学习 · 计算机科学 2025-07-09 Wenjin Qin , Hailin Wang , Jingyao Hou , Jianjun Wang

The core challenge of hyperspectral image denoising is striking the right balance between data fidelity and noise prior modeling. Most existing methods place too much emphasis on the intrinsic priors of the image while overlooking diverse…

计算机视觉与模式识别 · 计算机科学 2026-04-22 Xuelin Xie , Xiliang Lu , Zhengshan Wang , Yang Zhang , Long Chen

During the inversion of discrete linear systems noise in data can be amplified and result in meaningless solutions. To combat this effect, characteristics of solutions that are considered desirable are mathematically implemented during…

数值分析 · 数学 2023-02-07 Michael J. Byrne , Rosemary A. Renaut

We consider the problem of estimating a signal from noisy circularly-translated versions of itself, called multireference alignment (MRA). One natural approach to MRA could be to estimate the shifts of the observations first, and infer the…

信息论 · 计算机科学 2018-02-14 Tamir Bendory , Nicolas Boumal , Chao Ma , Zhizhen Zhao , Amit Singer

As a 3-order tensor, a multi-spectral image (MSI) has dozens of spectral bands, which can deliver more information for real scenes. However, real MSIs are often corrupted by noises in the sensing process, which will further deteriorate the…

图像与视频处理 · 电气工程与系统科学 2018-12-10 Xiao Gong , Wei Chen

In recent literature there are plenty of works that combine handcrafted and learnable regularizers to solve inverse imaging problems. While this hybrid approach has demonstrated promising results, the motivation for combining handcrafted…

计算机视觉与模式识别 · 计算机科学 2025-05-23 Alexandros Gkillas , Dimitris Ampeliotis , Kostas Berberidis

In this paper, we propose a low-rank representation with symmetric constraint (LRRSC) method for robust subspace clustering. Given a collection of data points approximately drawn from multiple subspaces, the proposed technique can…

计算机视觉与模式识别 · 计算机科学 2017-05-16 Jie Chen , Hua Mao , Yongsheng Sang , Zhang Yi

In this survey, we provide a detailed review of recent advances in the recovery of continuous domain multidimensional signals from their few non-uniform (multichannel) measurements using structured low-rank matrix completion formulation.…

计算机视觉与模式识别 · 计算机科学 2020-02-19 Mathews Jacob , Merry P. Mani , Jong Chul Ye

Hyperspectral images~(HSIs) are often contaminated by a mixture of noise such as Gaussian noise, dead lines, stripes, and so on. In this paper, we propose a multi-scale low-rank tensor regularized $\ell_{2,p}$ (MLTL2p) approach for HSI…

最优化与控制 · 数学 2025-07-25 Xiaoxia Liu , Shijie Yu , Jian Lu , Xiaojun Chen

Low-rank approximation of a matrix by means of structured random sampling has been consistently efficient in its extensive empirical studies around the globe, but adequate formal support for this empirical phenomenon has been missing so…

数值分析 · 数学 2016-07-21 Victor Pan , John Svadlenka , Liang Zhao

Regularized nonnegative low-rank approximations, such as sparse Nonnegative Matrix Factorization or sparse Nonnegative Tucker Decomposition, form an important branch of dimensionality reduction models known for their enhanced…

机器学习 · 计算机科学 2025-01-31 Jeremy E. Cohen , Valentin Leplat

Reduced-rank regression recognises the possibility of a rank-deficient matrix of coefficients. We propose a novel Bayesian model for estimating the rank of the coefficient matrix, which obviates the need for post-processing steps and allows…

统计方法学 · 统计学 2024-02-14 Maria F. Pintado , Matteo Iacopini , Luca Rossini , Alexander Y. Shestopaloff

We introduce an unsupervised formulation to estimate heteroscedastic uncertainty in retrieval systems. We propose an extension to triplet loss that models data uncertainty for each input. Besides improving performance, our formulation…

计算机视觉与模式识别 · 计算机科学 2019-02-08 Ahmed Taha , Yi-Ting Chen , Teruhisa Misu , Abhinav Shrivastava , Larry Davis

The multi-reference alignment (MRA) problem entails estimating an image from multiple noisy and rotated copies of itself. If the noise level is low, one can reconstruct the image by estimating the missing rotations, aligning the images, and…

信号处理 · 电气工程与系统科学 2022-06-17 Noam Janco , Tamir Bendory

Recent works on adaptive sparse and on low-rank signal modeling have demonstrated their usefulness in various image / video processing applications. Patch-based methods exploit local patch sparsity, whereas other works apply low-rankness of…

计算机视觉与模式识别 · 计算机科学 2018-08-07 Bihan Wen , Yanjun Li , Yoram Bresler