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Convergence of projected subgradient method with sparse or low-rank constraints
Many problems in data science can be treated as recovering structural signals from a set of linear measurements, sometimes perturbed by dense noise...
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The magnitude vector of images
The magnitude of a finite metric space has recently emerged as a novel invariant quantity, allowing to measure the effective size of a metric space....
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An Augmented Two-Scale Finite Element Method for Eigenvalue Problems
In this paper, an augmented two-scale finite element method is proposed for a class of linear and nonlinear eigenvalue problems on tensor-product...
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Universal distances for extended persistence
The extended persistence diagram is an invariant of piecewise linear functions, which is known to be stable under perturbations of functions with...
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Optimizing SONAR System Reliability Through RRAP: A Novel Approach Using Opposition Based Levy Flight Moth Flame Optimization
Reliability-redundancy allocation problem (RRAP) is a complex problem in the reliability optimization area which aims to find the best structure with...
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The topology of local computing in networks
For more than three decades, distributed systems have been described and analyzed using topological tools, primarily using two techniques: protocol...
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Extrapolated regularization of nearly singular integrals on surfaces
We present a method for computing nearly singular integrals that occur when single or double layer surface integrals, for harmonic potentials or...
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Homotopy, homology, and persistent homology using closure spaces
We develop persistent homology in the setting of filtrations of (Čech) closure spaces. Examples of filtrations of closure spaces include metric...
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Develo** LSQR Method for Sylvester Quaternion Tensor Equations
In this paper, we consider solving a least-squares problem to the generalized Sylvester quaternion tensor equation. From the properties of...
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Inverse Fuzzy Mixed Planar Graphs with Application
The idea of inverse fuzzy mixed graph (IFMG) was firstly introduced by Poulik and Ghorai (Granul Comput 7:549–559, 2021) in 2021 generalizing the...
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Enhancing Stability in Autonomous Control Systems Through Fuzzy Gain Scheduling (FGS) and Lyapunov Function Analysis
Traditional control methods may struggle to adapt to the nonlinear and uncertain characteristics in Autonomous Vehicle Control. In recent years,...
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Variational Model with Nonstandard Growth Condition in Image Restoration and Contrast Enhancement
We propose a new variational model in Sobolev-Orlicz spaces with non-standard growth conditions of the objective functional and discuss its...
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From finite vector field data to combinatorial dynamical systems in the sense of Forman
We introduce a three-step method to construct on a simplicial complex a combinatorial dynamical system in the sense of Forman from vector field data...
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A Three-Warehouse Inventory Model for Deteriorating Items to Study the Effective Preservation Cost and Green Investment Under Partial Substitution
In this paper, an inventory model is developed for a set of two substitutable deteriorating items. Stock-out based partial substitution is...
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Fast topological signal identification and persistent cohomological cycle matching
Within the context of topological data analysis, the problems of identifying topological significance and matching signals across datasets are...
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Stochastic modeling of stationary scalar Gaussian processes in continuous time from autocorrelation data
We consider the problem of constructing a vector-valued linear Markov process in continuous time, such that its first coordinate is in good agreement...
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The Parameterized Augmentation Block Preconditioner for Nonsymmetric Saddle Point Problems
Based on the preconditioner presented by He and Huang (Comput Math Appl 62: 87–92, 2011), we introduce a parameterized augmentation block...
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Joint Spectral Regression Methods for Large-Scale Discriminant Analysis
Spectral regression discriminant analysis (SRDA) is one of the most popular methods for large-scale discriminant analysis. It is a stepwise algorithm...
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Nonlocal Matrix Rank Minimization Method for Multiplicative Noise Removal
Multiplicative noise removal is a challenging problem in image denoising. In this paper, we develop a nonlocal matrix rank minimization method for...
