Zero interval limit perturbation expansion for the spectral entities of Hilbert–Schmidt operators combined with most dominant spectral component extraction: formulation and certain technicalities
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Chemistry"
DOI: 10.1007/s10910-017-0739-7
Abstract: A perturbation-expansion-at-zero-interval-limit based numeric al algorithm to calculate the eigenpairs of Hilbert–Schmidt integral operators having symmetric kernels is developed in the present work. We have developed the perturbation expansion only for the most dominant eigenvalue… read more here.
Keywords: hilbert schmidt; perturbation; zero interval; perturbation expansion ... See more keywords
Filter-based unsupervised feature selection using Hilbert–Schmidt independence criterion
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Machine Learning and Cybernetics"
DOI: 10.1007/s13042-018-0869-7
Abstract: Feature selection is a fundamental preprocess before performing actual learning; especially in unsupervised manner where the data are unlabeled. Essentially, when there are too many features in the problem, dimensionality reduction through discarding weak features… read more here.
Keywords: unsupervised feature; feature selection; schmidt independence; feature ... See more keywords
Sensitivity Analysis for ReaxFF Reparametrization Using the Hilbert-Schmidt Independence Criterion.
Sign Up to like & getrecommendations! Published in 2023 at "Journal of chemical theory and computation"
DOI: 10.1021/acs.jctc.2c01320
Abstract: We apply a global sensitivity method, the Hilbert-Schmidt independence criterion (HSIC), to the reparametrization of a Zn/S/H ReaxFF force field to identify the most appropriate parameters for reparametrization. Parameter selection remains a challenge in this… read more here.
Keywords: hilbert schmidt; schmidt independence; independence criterion; sensitivity ... See more keywords
Strong bound between trace distance and Hilbert-Schmidt distance for low-rank states
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review A"
DOI: 10.1103/physreva.100.022103
Abstract: The trace distance between two quantum states, $\rho$ and $\sigma$, is an operationally meaningful quantity in quantum information theory. However, in general it is difficult to compute, involving the diagonalization of $\rho - \sigma$. In… read more here.
Keywords: distance; low rank; trace; schmidt distance ... See more keywords
Continuous Compressed Sensing Hilbert-Schmidt Integral Operator
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Access"
DOI: 10.1109/access.2022.3194926
Abstract: Continuous Compressed-Sensing-Karhunen-Loéve Expansion (CS-KLE) has been proposed. Compressed sensing has been proposed as a highly efficient computational method to represent compressible signals using a few numbers of linear functional. On the other hand, KLE is… read more here.
Keywords: sensing hilbert; integral operator; compressed sensing; hilbert schmidt ... See more keywords
Study on Sensor Array Optimization of Medical Electronic Nose for Wound Infection Detection
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Circuits and Systems II: Express Briefs"
DOI: 10.1109/tcsii.2021.3112597
Abstract: In order to improve the detection effect and simplify the number of sensors of electronic nose system for wound infection detection, the sensor arrays are optimized based on Hilbert-Schmidt independence criterion (HSIC) in this brief.… read more here.
Keywords: electronic nose; optimization; detection; infection detection ... See more keywords
Learning Spatial Regularization Correlation Filters With the Hilbert-Schmidt Independence Criterion in RKHS for UAV Tracking
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Instrumentation and Measurement"
DOI: 10.1109/tim.2023.3265106
Abstract: Unmanned aerial vehicle (UAV) object tracking has been widely used in military and civilian tasks and is very challenging due to factors such as aerial view, low resolution (LR), background clutter (BC), and small scale.… read more here.
Keywords: rkhs uav; schmidt independence; regularization; independence criterion ... See more keywords
Some inequalities involving Hilbert-Schmidt numerical radius on 2 x 2 operator matrices
Sign Up to like & getrecommendations! Published in 2020 at "Filomat"
DOI: 10.2298/fil2014649h
Abstract: We present some inequalities related to the Hilbert-Schmidt numerical radius of 2 x 2 operator matrices. More precisely, we present a formula for the Hilbert-Schmidt numerical radius of an operator as follows: w2(T) = sup… read more here.
Keywords: radius operator; hilbert schmidt; schmidt numerical; numerical radius ... See more keywords
Memory Effects in High-Dimensional Systems Faithfully Identified by Hilbert–Schmidt Speed-Based Witness
Sign Up to like & getrecommendations! Published in 2022 at "Entropy"
DOI: 10.3390/e24030395
Abstract: A witness of non-Markovianity based on the Hilbert–Schmidt speed (HSS), a special type of quantum statistical speed, has been recently introduced for low-dimensional quantum systems. Such a non-Markovianity witness is particularly useful, being easily computable… read more here.
Keywords: schmidt speed; based witness; witness; high dimensional ... See more keywords