IET Signal ProcessingThe implementation of Kalman filter (KF) in tracking high-dimensional, strongly correlated graph structured data is often complex and unstable. Meanwhile, in practical applications, the system may be subject to interference from non-Gaussian noise and ...
Bingyu Yin, Xinmin Song
doaj +2 more sources
A reverse of the Cauchy-Bunyakovsky-Schwarz integral inequality for complex-valued functions and applications for Fourier transform [PDF]
, 2004 A reverse of the Cauchy-Bunyakovsky-Schwarz integral inequality for complex-valued functions and applications for the finite Fourier transform are ...
Hanna, George T +5 more
core +8 more sources
Radar matched filtering using the fractional fourier transform [PDF]
, 2010 -A matched filter is the optimal linear filter for maximizing the signal to noise ratio (SNR) in the presence of additive noise. Matched filters are commonly used in radar systems where the transmitted signal is known and may be used as a replica to be ...
Clemente, Carmine +2 more
core +4 more sources
Error Estimates for Approximating the Fourier Transform of Functions of Bounded Variation [PDF]
, 2004 In this paper we point out an approximation for the Fourier transform for functions of bounded variation and study the approximation error of certain associated quadrature ...
Hanna, George T +2 more
core +6 more sources
Functional network estimation using multigraph learning with application to brain maturation study. [PDF]
Hum Brain Mapp, 2021 We proposed a multigraph learning method to jointly estimate the brain connectivity networks from different paradigms. We further applied Graph Fourier transform to detect hub regions related to brain development in the low‐frequency components. Interesting findings have been made and discussed in a real‐world data set.
Wang J +7 more
europepmc +2 more sources
Error Estimates on Approximating the Finite Fourier Transform of Complex-Valued Functions via a Pre-Grüss Inequality [PDF]
, 2004 Some estimates for the error in approximating the Finite Fourier Transform in terms of exponential means via a pre-Grüss inequality for complex-valued functions are ...
Hanna, George T +2 more
core +6 more sources
Disrupted Structure-Function Integration in Systemic Lupus Erythematosus and Its Impact on Cognitive Flexibility. [PDF]
Hum Brain MappThis study compared the brain structure–function integration during a cognitive flexibility task between SLE patients without clinically overt neuropsychiatric manifestations and healthy controls. Our findings suggest that disrupted structure–function integration, particularly within the frontoparietal executive control network (ECN) regions ...
Qian X +6 more
europepmc +2 more sources
Analyzing the Approximation Error of the Fast Graph Fourier Transform [PDF]
, 2017 International audienceThe graph Fourier transform (GFT) is in general dense and requires O(n 2) time to compute and O(n 2) memory space to store. In this paper, we pursue our previous work on the approximate fast graph Fourier transform (FGFT).
Gribonval, Rémi +5 more
core +3 more sources
Central Limit Theorem for Linear Eigenvalue Statistics of Non‐Hermitian Random Matrices
Communications on Pure and Applied Mathematics, Volume 76, Issue 5, Page 946-1034, May 2023., 2023 Abstract We consider large non‐Hermitian random matrices X with complex, independent, identically distributed centred entries and show that the linear statistics of their eigenvalues are asymptotically Gaussian for test functions having derivatives. Previously this result was known only for a few special cases; either the test functions were required ...
Giorgio Cipolloni +2 more
wiley +1 more source
High Performance Graph Data Imputation on Multiple GPUs
Future Internet, 2021 In real applications, massive data with graph structures are often incomplete due to various restrictions. Therefore, graph data imputation algorithms have been widely used in the fields of social networks, sensor networks, and MRI to solve the graph ...
Chao Zhou, Tao Zhang
doaj +1 more source