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In this paper, we propose a new multimodal image denoising approach to attenuate white Gaussian additive noise in a given image modality under the aid of a guidance image modality. The proposed coupled image denoising approach consists of…

Computer Vision and Pattern Recognition · Computer Science 2021-03-11 Pingfan Song , Miguel R. D. Rodrigues

A general framework for recovering drift and diffusion dynamics from sampled trajectories is presented for the first time for stochastic delay differential equations. The core relies on the well-established SINDy algorithm for the sparse…

Numerical Analysis · Mathematics 2025-08-06 Dimitri Breda , Dajana Conte , Raffaele D'Ambrosio , Ida Santaniello , Muhammad Tanveer

Monocular depth estimation is an interesting and challenging problem as there is no analytic mapping known between an intensity image and its depth map. Recently there has been a lot of data accumulated through depth-sensing cameras, in…

Computer Vision and Pattern Recognition · Computer Science 2016-06-28 Yigit Oktar

Sparse coding (SC) is an automatic feature extraction and selection technique that is widely used in unsupervised learning. However, conventional SC vectorizes the input images, which breaks apart the local proximity of pixels and destructs…

Computer Vision and Pattern Recognition · Computer Science 2017-03-29 Fei Jiang , Xiao-Yang Liu , Hongtao Lu , Ruimin Shen

Many high-dimensional data sets suffer from hidden confounding which affects both the predictors and the response of interest. In such situations, standard regression methods or algorithms lead to biased estimates. This paper substantially…

Methodology · Statistics 2024-12-17 Cyrill Scheidegger , Zijian Guo , Peter Bühlmann

This work proposes a multi-image matching method to estimate semantic correspondences across multiple images. In contrast to the previous methods that optimize all pairwise correspondences, the proposed method identifies and matches only a…

Computer Vision and Pattern Recognition · Computer Science 2018-05-02 Qianqian Wang , Xiaowei Zhou , Kostas Daniilidis

When a single molecule is detected in a wide-field microscope, the image approximates the point spread function of the system. However, as the distribution of molecules becomes denser and their images begin to coincide, existing solutions…

Optics · Physics 2013-09-02 Anthony Barsic , Ginni Grover , Rafael Piestun

Bilinear models has been shown to achieve impressive performance on a wide range of visual tasks, such as semantic segmentation, fine grained recognition and face recognition. However, bilinear features are high dimensional, typically on…

Computer Vision and Pattern Recognition · Computer Science 2016-04-13 Yang Gao , Oscar Beijbom , Ning Zhang , Trevor Darrell

In recent years, the use of sparse recovery techniques in the approximation of high-dimensional functions has garnered increasing interest. In this work we present a survey of recent progress in this emerging topic. Our main focus is on the…

Numerical Analysis · Mathematics 2017-06-12 Ben Adcock , Simone Brugiapaglia , Clayton G. Webster

In information retrieval, a fundamental goal is to transform a document into concepts that are representative of its content. The term "representative" is in itself challenging to define, and various tasks require different granularities of…

Machine Learning · Statistics 2012-05-01 Khalid El-Arini , Emily B. Fox , Carlos Guestrin

Recently, sparsity-based algorithms are proposed for super-resolution spectrum estimation. However, to achieve adequately high resolution in real-world signal analysis, the dictionary atoms have to be close to each other in frequency,…

Machine Learning · Statistics 2015-06-05 Yiyuan She , Huanghuang Li , Jiangping Wang , Dapeng Wu

The aim of this paper is to introduce a novel dictionary learning algorithm for sparse representation of signals defined over combinatorial topological spaces, specifically, regular cell complexes. Leveraging Hodge theory, we embed topology…

Signal Processing · Electrical Eng. & Systems 2025-03-17 Enrico Grimaldi , Claudio Battiloro , Paolo Di Lorenzo

In this paper, we advocate for using large pre-trained monolingual language models in cross lingual zero-shot word sense disambiguation (WSD) coupled with a contextualized mapping mechanism. We also report rigorous experiments that…

Computation and Language · Computer Science 2023-07-27 Gábor Berend

Due to the rapid development of World Wide Web (WWW) and imaging technology, more and more images are available in the Internet and stored in databases. Searching the related images by the querying image is becoming tedious and difficult.…

Computer Vision and Pattern Recognition · Computer Science 2010-08-20 Md. Saiful Islam , Md. Haider Ali

Consider a regression model with fixed design and Gaussian noise where the regression function can potentially be well approximated by a function that admits a sparse representation in a given dictionary. This paper resorts to exponential…

Statistics Theory · Mathematics 2013-01-08 Philippe Rigollet , Alexandre B. Tsybakov

In the present paper we consider application of overcomplete dictionaries to solution of general ill-posed linear inverse problems. Construction of an adaptive optimal solution for such problems usually relies either on a singular value…

Methodology · Statistics 2015-04-03 Marianna Pensky

Sparse system identification of nonlinear dynamic systems is still challenging, especially for stiff and high-order differential equations for noisy measurement data. The use of highly correlated functions makes distinguishing between true…

Computational Physics · Physics 2025-12-19 Ashish Pal , Sutanu Bhowmick , Satish Nagarajaiah

Hyperspectral target detection has been widely studied in the field of remote sensing. However, background dictionary building issue and the correlation analysis of target and background dictionary issue have not been well studied. To…

Image and Video Processing · Electrical Eng. & Systems 2021-05-12 Chenlu Wei , Zhiyu Jiang , Yuan Yuan

Proximity Distribution Kernel is an effective method for bag-of-featues based image representation. In this paper, we investigate the soft assignment of visual words to image features for proximity distribution. Visual word contribution…

Computer Vision and Pattern Recognition · Computer Science 2014-06-03 Quanquan Wang , Yongping Li

Sparse approximation is important in many applications because of concise form of an approximant and good accuracy guarantees. The theory of compressed sensing, which proved to be very useful in the image processing and data sciences, is…

Numerical Analysis · Mathematics 2025-02-20 V. Temlyakov