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Adaptive sampling results in dramatic improvements in the recovery of sparse signals in white Gaussian noise. A sequential adaptive sampling-and-refinement procedure called Distilled Sensing (DS) is proposed and analyzed. DS is a form of…

统计理论 · 数学 2010-05-31 Jarvis Haupt , Rui Castro , Robert Nowak

Sparse linear models are one of several core tools for interpretable machine learning, a field of emerging importance as predictive models permeate decision-making in many domains. Unfortunately, sparse linear models are far less flexible…

机器学习 · 统计学 2024-01-03 Ryan Thompson , Amir Dezfouli , Robert Kohn

In this paper, we study weakly-supervised laparoscopic image segmentation with sparse annotations. We introduce a novel Bayesian deep learning approach designed to enhance both the accuracy and interpretability of the model's segmentation,…

计算机视觉与模式识别 · 计算机科学 2024-10-14 Zhou Zheng , Yuichiro Hayashi , Masahiro Oda , Takayuki Kitasaka , Kensaku Mori

We present a novel approach to implement compressive sensing in laser scanning microscopes (LSM), specifically in image scanning microscopy (ISM), using a single-photon avalanche diode (SPAD) array detector. Our method addresses two…

图像与视频处理 · 电气工程与系统科学 2023-07-20 Ajay Gunalan , Marco Castello , Simonluca Piazza , Shunlei Li , Alberto Diaspro , Leonardo S. Mattos , Paolo Bianchini

Compressed sensing (CS) provides an elegant framework for recovering sparse signals from compressed measurements. For example, CS can exploit the structure of natural images and recover an image from only a few random measurements. CS is…

机器学习 · 计算机科学 2019-05-21 Yan Wu , Mihaela Rosca , Timothy Lillicrap

This paper focuses studies the following low rank + sparse (LR+S) column-wise compressive sensing problem. We aim to recover an $n \times q$ matrix, $\X^* =[ \x_1^*, \x_2^*, \cdots , \x_q^*]$ from $m$ independent linear projections of each…

图像与视频处理 · 电气工程与系统科学 2023-11-08 Silpa Babu , Namrata Vaswani

Recent results in compressed sensing showed that the optimal subsampling strategy should take into account the sparsity pattern of the signal at hand. This oracle-like knowledge, even though desirable, nevertheless remains elusive in most…

信息论 · 计算机科学 2023-06-28 Simon Ruetz

Optimizing the acquisition matrix is useful for compressed sensing of signals that are sparse in overcomplete dictionaries, because the acquisition matrix can be adapted to the particular correlations of the dictionary atoms. In this paper…

信息论 · 计算机科学 2013-09-17 Nicolae Cleju

Insufficient prior knowledge of a captured hyperspectral image (HSI) scene may lead the experts or the automatic labeling systems to offer incorrect labels or ambiguous labels (i.e., assigning each training sample to a group of candidate…

计算机视觉与模式识别 · 计算机科学 2024-05-28 Shujun Yang , Yu Zhang , Yao Ding , Danfeng Hong

Compressed sensing (CS) is a sampling theory that allows reconstruction of sparse (or compressible) signals from an incomplete number of measurements, using of a sensing mechanism implemented by an appropriate projection matrix. The CS…

计算机视觉与模式识别 · 计算机科学 2017-08-29 Duc Minh Nguyen , Evaggelia Tsiligianni , Nikos Deligiannis

The present paper introduces a method for substantial reduction of the number of diffusion encoding gradients required for reliable reconstruction of HARDI signals. The method exploits the theory of compressed sensing (CS), which…

信息论 · 计算机科学 2010-09-21 Oleg Michailovich , Yogesh Rathi , Sudipto Dolui

It has been recently shown that incorporating priori knowledge significantly improves the performance of basic compressive sensing based approaches. We have managed to successfully exploit this idea for recovering a matrix as a summation of…

计算机视觉与模式识别 · 计算机科学 2014-11-25 Dornoosh Zonoobi , Shahrooz Faghih Roohi , Ashraf A. Kassim

Compressive Sensing (CS) theory shows that a signal can be decoded from many fewer measurements than suggested by the Nyquist sampling theory, when the signal is sparse in some domain. Most of conventional CS recovery approaches, however,…

计算机视觉与模式识别 · 计算机科学 2014-04-30 Jian Zhang , Debin Zhao , Feng Jiang , Wen Gao

The ability of capturing fine spectral discriminative information enables hyperspectral images (HSIs) to observe, detect and identify objects with subtle spectral discrepancy. However, the captured HSIs may not represent true distribution…

图像与视频处理 · 电气工程与系统科学 2022-05-19 Na Liu , Wei Li , Yinjian Wang , Rao Tao , Qian Du , Jocelyn Chanussot

Sparse coding networks, which utilize unsupervised learning to maximize coding efficiency, have successfully reproduced response properties found in primary visual cortex \cite{AN:OlshausenField96}. However, conventional sparse coding…

神经元与认知 · 定量生物学 2011-05-25 William K. Coulter , Christopher J. Hillar , Friedrich T. Sommer

Expressing a matrix as the sum of a low-rank matrix plus a sparse matrix is a flexible model capturing global and local features in data popularized as Robust PCA (Candes et al., 2011; Chandrasekaran et al., 2009). Compressed sensing,…

数值分析 · 数学 2022-04-28 Jared Tanner , Simon Vary

It is now well established that sparse signal models are well suited to restoration tasks and can effectively be learned from audio, image, and video data. Recent research has been aimed at learning discriminative sparse models instead of…

计算机视觉与模式识别 · 计算机科学 2009-09-29 Julien Mairal , Francis Bach , Jean Ponce , Guillermo Sapiro , Andrew Zisserman

Sparsity-based models and techniques have been exploited in many signal processing and imaging applications. Data-driven methods based on dictionary and sparsifying transform learning enable learning rich image features from data, and can…

机器学习 · 计算机科学 2019-09-25 Saiprasad Ravishankar , Anna Ma , Deanna Needell

We propose LSDAT, an image-agnostic decision-based black-box attack that exploits low-rank and sparse decomposition (LSD) to dramatically reduce the number of queries and achieve superior fooling rates compared to the state-of-the-art…

计算机视觉与模式识别 · 计算机科学 2021-03-23 Ashkan Esmaeili , Marzieh Edraki , Nazanin Rahnavard , Mubarak Shah , Ajmal Mian

Although the sparse multinomial logistic regression (SMLR) has provided a useful tool for sparse classification, it suffers from inefficacy in dealing with high dimensional features and manually set initial regressor values. This has…

计算机视觉与模式识别 · 计算机科学 2017-12-05 Faxian Cao , Zhijing Yang , Jinchang Ren , Wing-Kuen Ling