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State-space models are ubiquitous in the statistical literature since they provide a flexible and interpretable framework for analyzing many time series. In most practical applications, the state-space model is specified through a…

Methodology · Statistics 2020-06-18 Thi Tuyet Trang Chau , Pierre Ailliot , Valérie Monbet

This paper proposes a sparse regression strategy for discovery of ordinary differential equations from incomplete and noisy data. Inference is performed over both equation parameters and state variables using a statistically motivated…

Dynamical Systems · Mathematics 2026-02-18 Teddy Meissner , Karl Glasner

We introduce SpinSVAR, a novel method for estimating a structural vector autoregression (SVAR) from time-series data under sparse input assumption. Unlike prior approaches using Gaussian noise, we model the input as independent Laplacian…

Machine Learning · Computer Science 2025-02-24 Panagiotis Misiakos , Markus Püschel

We propose a novel sparse spectrum approximation of Gaussian process (GP) tailored for Bayesian optimization. Whilst the current sparse spectrum methods provide desired approximations for regression problems, it is observed that this…

Machine Learning · Computer Science 2020-06-09 Ang Yang , Cheng Li , Santu Rana , Sunil Gupta , Svetha Venkatesh

The problem of sparse approximation and the closely related compressed sensing have received tremendous attention in the past decade. Primarily studied from the viewpoint of applied harmonic analysis and signal processing, there have been…

Information Theory · Computer Science 2018-10-23 Ali Çivril

Mathematical modelling, particularly through approaches such as structured sparse support vector machines (SS-SVM), plays a crucial role in processing data with complex feature structures, yet efficient algorithms for distributed…

Machine Learning · Computer Science 2026-01-13 Rongmei Liang , Zizheng Liu , Xiaofei Wu , Jingwen Tu

The unceasing demand for continuous situational awareness calls for innovative and large-scale signal processing algorithms, complemented by collaborative and adaptive sensing platforms to accomplish the objectives of layered sensing and…

Methodology · Statistics 2015-05-20 Juan A. Bazerque , Gonzalo Mateos , Georgios B. Giannakis

Sparse model selection is ubiquitous from linear regression to graphical models where regularization paths, as a family of estimators upon the regularization parameter varying, are computed when the regularization parameter is unknown or…

Machine Learning · Statistics 2018-10-10 Chendi Huang , Yuan Yao

Pseudoinverses are ubiquitous tools for handling over- and under-determined systems of equations. For computational efficiency, sparse pseudoinverses are desirable. Recently, sparse left and right pseudoinverses were introduced, using…

Numerical Analysis · Mathematics 2016-06-23 Victor K. Fuentes , Marcia Fampa , Jon Lee

Spatial time series imputation is critically important to many real applications such as intelligent transportation and air quality monitoring. Although recent transformer and diffusion model based approaches have achieved significant…

Machine Learning · Computer Science 2023-09-06 Shunyang Zhang , Senzhang Wang , Xianzhen Tan , Ruochen Liu , Jian Zhang , Jianxin Wang

In this paper, we propose a sparsity-promoting feedback control design for stochastic linear systems with multiplicative noise. The objective is to identify a sparse control architecture that optimizes the closed-loop performance while…

Optimization and Control · Mathematics 2022-08-22 Yi Guo , Ognjen Stanojev , Gabriela Hug , Tyler Summers

The spectrum environment map (SEM), which can visualize the information of invisible electromagnetic spectrum, is vital for monitoring, management, and security of spectrum resources in cognitive radio (CR) networks. In view of a limited…

Signal Processing · Electrical Eng. & Systems 2023-02-28 Jie Wang , Qiuming Zhu , Zhipeng Lin , Qihui Wu , Yang Huang , Xuezhao Cai , Weizhi Zhong , Yi Zhao

We present a semi-sparsity model for 3D triangular mesh denoising, which is motivated by the success of semi-sparsity regularization in image processing applications. We demonstrate that such a regularization model can be also applied for…

Graphics · Computer Science 2023-05-09 Junqing Huang , Haihui Wang , Michael Ruzhansky

Continuously monitored atomic spin-ensembles allow, in principle, for real-time sensing of external magnetic fields beyond classical limits. Within the linear-Gaussian regime, thanks to the phenomenon of measurement-induced spin-squeezing,…

Quantum Physics · Physics 2021-12-21 Julia Amoros-Binefa , Jan Kolodynski

A popular approach within the signal processing and machine learning communities consists in modelling signals as sparse linear combinations of atoms selected from a learned dictionary. While this paradigm has led to numerous empirical…

Machine Learning · Computer Science 2015-08-25 Rémi Gribonval , Rodolphe Jenatton , Francis Bach

This paper proposes an online learning method of Gaussian process state-space model (GP-SSM). GP-SSM is a probabilistic representation learning scheme that represents unknown state transition and/or measurement models as Gaussian processes…

Robotics · Computer Science 2024-10-30 Soon-Seo Park , Young-Jin Park , Youngjae Min , Han-Lim Choi

Short Read Alignment Mapping Metrics (SRAMM): is an efficient and versatile command line tool providing additional short read mapping metrics, filtering, and graphs. Short read aligners report MAPing Quality (MAPQ), but these methods…

Genomics · Quantitative Biology 2021-07-08 Alvin Chon , Xiaoqiu Huang

Time-frequency analysis has been applied successfully in many fields. However, the traditional methods, like short time Fourier transform and Cohen distribution, suffer from the low resolution or the interference of the cross terms. To…

Signal Processing · Electrical Eng. & Systems 2018-04-17 Yingpin Chen , Zhenming Peng , Ali Gholami , Jingwen Yan , Shu Li

Sparse identification of differential equations aims to compute the analytic expressions from the observed data explicitly. However, there exist two primary challenges. Firstly, it exhibits sensitivity to the noise in the observed data,…

Numerical Analysis · Mathematics 2024-01-23 Yuhuang Meng , Yue Qiu

Sparsity is a desirable attribute. It can lead to more efficient and more effective representations compared to the dense model. Meanwhile, learning sparse latent representations has been a challenging problem in the field of computer…

Computer Vision and Pattern Recognition · Computer Science 2022-09-22 Hanao Li , Tian Han
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