Jun Xian

ORCID: 0000-0003-3772-5622
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About
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Research Areas
  • Mathematical Analysis and Transform Methods
  • Image and Signal Denoising Methods
  • Medical Imaging Techniques and Applications
  • Sparse and Compressive Sensing Techniques
  • Advanced Numerical Analysis Techniques
  • Mathematical Approximation and Integration
  • Seismic Imaging and Inversion Techniques
  • Advanced Harmonic Analysis Research
  • Gene expression and cancer classification
  • Electromagnetic Scattering and Analysis
  • Numerical methods in inverse problems
  • Numerical methods in engineering
  • Advanced Mathematical Modeling in Engineering
  • Fractal and DNA sequence analysis
  • Advanced Graph Neural Networks
  • Corrosion Behavior and Inhibition
  • Complex Network Analysis Techniques
  • Bioinformatics and Genomic Networks
  • Approximation Theory and Sequence Spaces
  • Statistical Methods and Inference
  • Microwave Imaging and Scattering Analysis
  • Digital Filter Design and Implementation
  • Adaptive Control of Nonlinear Systems
  • Mathematical Dynamics and Fractals
  • Hydrogen embrittlement and corrosion behaviors in metals

Sun Yat-sen University
2015-2025

Zhangzhou Normal University
2023

Tarim University
2022

Jiangmen Central Hospital
2022

Sinoma Science & Technology Co., Ltd. (China)
2013

Shenyang Institute of Automation
2012

East China Normal University
2009

City University of Hong Kong
2006-2007

Zhejiang University
2005-2006

10.1016/j.jat.2018.09.009 article EN publisher-specific-oa Journal of Approximation Theory 2018-10-06

10.1142/s0219530525500125 article EN Analysis and Applications 2025-02-21

10.1016/j.acha.2006.10.004 article EN publisher-specific-oa Applied and Computational Harmonic Analysis 2006-12-06

We consider convolution sampling and reconstruction of signals in certain reproducing kernel subspaces <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L Superscript p Baseline comma 1 less-than-or-equal-to normal infinity"> <mml:semantics> <mml:mrow> <mml:msup> <mml:mi>L</mml:mi> <mml:mi>p</mml:mi> </mml:msup> <mml:mo>,</mml:mo> <mml:mn>1</mml:mn> <mml:mo>≤</mml:mo> <mml:mi mathvariant="normal">∞</mml:mi> </mml:mrow>...

10.1090/s0002-9939-2012-11644-2 article EN publisher-specific-oa Proceedings of the American Mathematical Society 2012-12-17

Abstract This study proposes a reinforcement learning‐based finite‐time cross‐media tracking control approach for slender body vehicle encountering unknown hydrodynamics, wind, and wave disturbances. Initially, learning framework consisting of the actor neural network critic is constructed. The monitors actions approximates cost function, while estimates hydrodynamics disturbances, minimising function to optimise performance. Subsequently, command filter featuring convergence formulated,...

10.1049/cth2.12693 article EN cc-by-nc IET Control Theory and Applications 2024-06-18

10.1016/j.acha.2021.03.006 article EN publisher-specific-oa Applied and Computational Harmonic Analysis 2021-03-26

Abstract Herein, we aimed to determine the effect of vitamin D (Vit D) and underlying mechanisms on asthma‐induced lung injury via regulation HIF‐1α/Notch1 (hypoxia‐inducible factor 1 alpha/neurogenic locus notch homolog protein 1) signaling during autophagy. We established an asthma mouse model using respiratory syncytial virus (RSV) nasal drop combined with ovalbumin (OVA) atomization. Mice were treated different Vit concentrations. Pathological changes cell apoptosis examined...

10.1002/fsn3.2880 article EN Food Science & Nutrition 2022-04-19

Periodogram analysis of time-series is widespread in biology. A new challenge for analyzing the microarray time series data to identify genes that are periodically expressed. Such occurs due fact observed usually exhibit non-idealities, such as noise, short length, and unevenly sampled points. Most methods used literature operate on evenly not suitable series. For data, based classical Fourier periodogram often detect expressed gene. Recently, Lomb-Scargle algorithm has been applied gene...

10.1186/1471-2105-8-137 article EN cc-by BMC Bioinformatics 2007-04-24

The local reconstruction from samples is one of the most desirable properties for many applications in signal processing. Local sampling practically useful since we need only to consider a on bounded interval and computer can process finite samples. However, problem has not been given as much attention. Most known results concern global reconstruction. There are few about spline subspaces. In this article, study general shift-invariant spaces multiple generated with compactly supported...

10.1080/01630561003760128 article EN Numerical Functional Analysis and Optimization 2010-04-29

10.1007/s00041-013-9308-z article EN Journal of Fourier Analysis and Applications 2013-12-05

The emerging trans-media vehicle is significant due to its amphibious ability. A finite-time output feedback tracking control scheme proposed for a slender body with unknown time-varying hydrodynamics and external disturbances. First, novel neural network extended state observer developed observe the vehicle’s velocities handle total disturbances simultaneously. Then, combined observer, command filtered backstepping technique carefully constructed yield control. strength of approach existing...

10.1177/01423312231188628 article EN Transactions of the Institute of Measurement and Control 2023-09-20

In this paper, we consider the problem of reconstructing functions in local multiply generated shift invariant spaces from convolution random samples. The sampling set is randomly chosen with one kind probability distribution over a bounded cube and available data are sampled original function on set. We obtain an explicit reconstruction formula. This formula succeeds overwhelming when size sufficiently large.

10.1088/1361-6420/ab40f7 article EN Inverse Problems 2019-09-03

10.1016/j.jmaa.2009.12.027 article EN publisher-specific-oa Journal of Mathematical Analysis and Applications 2009-12-22

The covariance-assisted matching pursuit (CAMP) algorithm has recently been proposed for recovering sparse signals f from noisy linear measurements based on a priori knowledge of the covariance and mean nonzero coefficients f. It utilizes by incorporating Gauss-Markov theorem into orthogonal (OMP) significantly better reconstruction performance than OMP. This letter develops sufficient conditions exact support recovery any k-sparse via CAMP ink iterations, under 12-bounded Gaussian noises....

10.1109/lsp.2019.2896543 article EN IEEE Signal Processing Letters 2019-01-30

10.1007/s11425-007-0056-x article EN Science in China Series A Mathematics 2007-05-18

The norm of the commutator a projection onto closed subspace and an operator S can be understood as quantitative measure lack invariance space under S. In this paper we study principal shift-invariant spaces V(φ) their properties arbitrary translations. It is known that no with integrable orthonormal basis generator fully translation-invariant. present several versions statement.

10.1016/j.acha.2013.08.002 article EN publisher-specific-oa Applied and Computational Harmonic Analysis 2013-08-17

Urbanization intensification seriously interferes with the supply capacity and demand level of ecosystem services (ESs); therefore, it affects balance state ESs. Coordination urbanization development protection in ecological economic belt is vital for high-quality belt. However, previous studies lacked multi-scale analysis impact elements on ESs index (ESBI) In this study, a geographically weighted regression model was employed to measure spatial non-stationary patterns associated ESBI at 5...

10.3390/ijerph192114304 article EN International Journal of Environmental Research and Public Health 2022-11-01

10.1016/j.amc.2003.08.031 article EN Applied Mathematics and Computation 2003-11-21

10.1007/s10114-009-7412-4 article EN Acta Mathematica Sinica English Series 2009-03-25

In this paper, we first introduce a reproducing kernel subspace of , where is homogeneous type space. Then consider average sampling and reconstruction signals in the . We show that could be stably reconstructed from its samples taken on relatively‐separated set with small gap. Exponential convergence established for iterative approximation‐projection algorithm.

10.1002/mana.201200203 article EN Mathematische Nachrichten 2013-12-04
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