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We consider error estimates for the fully discretized instationary Navier-Stokes problem. For the spatial approximation we use conforming inf-sup stable finite element methods in conjunction with grad-div and local projection stabilization…

Numerical Analysis · Mathematics 2016-09-06 Daniel Arndt , Helene Dallmann , Gert Lube

We consider algorithms and recovery guarantees for the analysis sparse model in which the signal is sparse with respect to a highly coherent frame. We consider the use of a monotone version of the fast iterative shrinkage- thresholding…

Optimization and Control · Mathematics 2015-06-17 Zhao Tan , Yonina C. Eldar , Amir Beck , Arye Nehorai

Large displacement optical flow is an integral part of many computer vision tasks. Variational optical flow techniques based on a coarse-to-fine scheme interpolate sparse matches and locally optimize an energy model conditioned on colour,…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Qiao Chen , Charalambos Poullis

We propose a new sparse estimation method, termed MIC (Minimum approximated Information Criterion), for generalized linear models (GLM) in fixed dimensions. What is essentially involved in MIC is the approximation of the $\ell_0$-norm with…

Methodology · Statistics 2018-07-23 Xiaogang Su , Juanjuan Fan , Richard A. Levine , Martha E. Nunn , Chih-Ling Tsai

We propose a non-learning depth completion method for a sparse depth map captured using a light detection and ranging (LiDAR) sensor guided by a pair of stereo images. Generally, conventional stereo-aided depth completion methods have two…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Yasuhiro Yao , Ryoichi Ishikawa , Shingo Ando , Kana Kurata , Naoki Ito , Jun Shimamura , Takeshi Oishi

As its name suggests, sufficient dimension reduction (SDR) targets to estimate a subspace from data that contains all information sufficient to explain a dependent variable. Ample approaches exist to SDR, some of the most recent of which…

Methodology · Statistics 2020-12-15 Emmanuel Jordy Menvouta , Sven Serneels , Tim Verdonck

Sparse representation has been widely studied in visual tracking, which has shown promising tracking performance. Despite a lot of progress, the visual tracking problem is still a challenging task due to appearance variations over time. In…

Computer Vision and Pattern Recognition · Computer Science 2016-05-03 Xue Yang , Fei Han , Hua Wang , Hao Zhang

There exists a large body of work on online drift detection with the goal of dynamically finding and maintaining changes in data streams. In this paper, we adopt a query-based approach to drift detection. Our approach relies on {\em a drift…

Data Structures and Algorithms · Computer Science 2016-05-16 Sofia Kleisarchaki , Sihem Amer-Yahia , Ahlame Douzal-Chouakria , Vassilis Christophides

Infrared small target detection (ISTD) has been a critical technology in defense and civilian applications over the past several decades, such as missile warning, maritime surveillance, and disaster monitoring. Nevertheless, moving infrared…

Computer Vision and Pattern Recognition · Computer Science 2026-04-08 Yian Huang , Qing Qin , Aji Mao , Xiangyu Qiu , Liang Xu , Xian Zhang , Zhenming Peng

Automatic defect detection for 3D printing processes, which shares many characteristics with change detection problems, is a vital step for quality control of 3D printed products. However, there are some critical challenges in the current…

Computer Vision and Pattern Recognition · Computer Science 2023-08-04 Yushuo Niu , Ethan Chadwick , Anson W. K. Ma , Qian Yang

Precise control over dimension of nanocrystals is critical to tune the properties for various applications. However, the traditional control through experimental optimization is slow, tedious and time consuming. Herein a robust deep neural…

Machine Learning · Computer Science 2020-10-28 Xiaoli Liu , Yang Xu , Jiali Li , Xuanwei Ong , Salwa Ali Ibrahim , Tonio Buonassisi , Xiaonan Wang

This study formally adapts the time-domain linear sampling method (TLSM) for ultrasonic imaging of stationary and evolving fractures in safety-critical components. The TLSM indicator is then applied to the laboratory test data of [22, 18]…

Numerical Analysis · Mathematics 2022-09-16 Xiaoli Liu , Jian Song , Fatemeh Pourahmadian , Houssem Haddar

This paper describes Sparse Frequent Directions, a variant of Frequent Directions for sketching sparse matrices. It resembles the original algorithm in many ways: both receive the rows of an input matrix $A^{n \times d}$ one by one in the…

Data Structures and Algorithms · Computer Science 2016-02-18 Mina Ghashami , Edo Liberty , Jeff M. Phillips

In this paper, we study a new type of spatial sparse recovery problem, that is to infer the fine-grained spatial distribution of certain density data in a region only based on the aggregate observations recorded for each of its subregions.…

Numerical Analysis · Computer Science 2018-03-02 Bang Liu , Borislav Mavrin , Linglong Kong , Di Niu

Wireless OFDM channels can be approximated by a time varying filter with sparse time domain taps. Recent achievements in sparse signal processing such as compressed sensing have facilitated the use of sparsity in estimation, which improves…

Information Theory · Computer Science 2009-01-27 Mahdi Soltanolkotabi , Arash Amini , Farokh Marvasti

Concept drift detection has attracted considerable attention due to its importance in many real-world applications such as health monitoring and fault diagnosis. Conventionally, most advanced approaches will be of poor performance when the…

Machine Learning · Computer Science 2023-03-31 Songqiao Hu , Zeyi Liu , Xiao He

The need for fast sparse optimization is emerging, e.g., to deal with large-dimensional data-driven problems and to track time-varying systems. In the framework of linear sparse optimization, the iterative shrinkage-thresholding algorithm…

Optimization and Control · Mathematics 2025-01-22 Vito Cerone , Sophie M. Fosson , Diego Regruto

Our aim is to study the backward problem, i.e. recover the initial data from the terminal observation, of the subdiffusion with time dependent coefficients. First of all, by using the smoothing property of solution operators and a…

Numerical Analysis · Mathematics 2023-02-01 Zhengqi Zhang , Zhi Zhou

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

A sparse modeling approach is proposed for analyzing scanning tunneling microscopy topography data, which contains numerous peaks corresponding to surface atoms. The method, based on the relevance vector machine with $\mathrm{L}_1$…

Data Analysis, Statistics and Probability · Physics 2018-03-13 Masamichi J. Miyama , Koji Hukushima