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Stability Analysis of Planar Probabilistic Piecewise Constant Derivative Systems
In this paper, we study the probabilistic stability analysis of a subclass of stochastic hybrid systems, called the Planar Probabilistic Piecewise...
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An image compression-then-encryption algorithm using piecewise asymptotic deterministic random measurement matrix
A digital Image Compression Encryption Method (ICEM) is proposed in this work by using the Compressed Sensing (CS), two-dimensional...
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Sliding modes of high codimension in piecewise-smooth dynamical systems
We consider piecewise-smooth dynamical systems, i.e., systems of ordinary differential equations switching between different sets of equations on...
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Approximation of doubly curved surfaces by analysis-suitable piecewise surfaces with high developability
A doubly curved surface can be approximated with a piecewise developable surface by constructing the envelope of the family of the tangent planes...
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Graphical Piecewise-Linear Algebra
Graphical (Linear) Algebra is a family of diagrammatic languages allowing to reason about different kinds of subsets of vector spaces...
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A New Total Variation Denoising Algorithm for Piecewise Constant Signals Based on Non-convex Penalty
Total variation signal denoising is an effective nonlinear filtering method, which is suitable for the restoration of piecewise constant signals...
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Numerical and Analytical Investigation of the Dynamics of a Body Under the Action of a Periodic Piecewise Constant External Force
The paper investigates the dynamics of a body under the action of a piecewise constant periodic force with an arbitrary duty cycle and an oscillation...
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Static output feedback control for uncertain Roesser-type continuous-time two-dimensional piecewise affine systems
In this study, a class of 2-D piecewise Lyapunov functions are constructed, together with a descriptor system approach, based on which a novel design...
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Reachability Based Uniform Controllability to Target Set with Evolution Function
In this paper, we investigate the uniform controllability to target set for dynamical systems by designing controllers such that the trajectories...
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Convergence and stability of the Milstein scheme for stochastic differential equations with piecewise continuous arguments
This work develops the Milstein scheme for commutative stochastic differential equations with piecewise continuous arguments (SDEPCAs), which can be...
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Multi-depth Fusion Transformer and Batch Piecewise Loss for Visual Sentiment Analysis
Visual sentiment analysis is an important research direction in the field of affective computing, which is of great significance in user behavior...
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Constant Function Market Makers: Multi-asset Trades via Convex Optimization
The rise of Ethereum and other blockchains that support smart contracts has led to the creation of decentralized exchanges (DEXs), such as Uniswap,...
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Low tensor-ring rank completion: parallel matrix factorization with smoothness on latent space
In recent years, tensor ring (TR) decomposition has drawn a lot of attention and was successfully applied to tensor completion problem, due to its...
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Uncertainty Quantification for Scale-Space Blob Detection
We consider the problem of blob detection for uncertain images, such as images that have to be inferred from noisy measurements. Extending recent...
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Strong convergence of explicit numerical schemes for stochastic differential equations with piecewise continuous arguments
In 2015, Mao (J. Comput. Appl. Math., 290, 370–384, 2015) proposed the truncated Euler-Maruyama (EM) method for stochastic differential equations...
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Combining Image Space and q-Space PDEs for Lossless Compression of Diffusion MR Images
Diffusion MRI is a modern neuroimaging modality with a unique ability to acquire microstructural information by measuring water self-diffusion at the...
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An efficient algorithm for solving piecewise-smooth dynamical systems
This article considers the numerical treatment of piecewise-smooth dynamical systems. Classical solutions as well as sliding modes up to...
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Space–time enriched finite elements for elastodynamic wave propagation
This article investigates a generalised finite-element method for time-dependent elastic wave propagation, based on plane-wave enrichments of the...
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Power-law distribution in pieces: a semi-parametric approach with change point detection
Piecewise models play a crucial role in statistical analysis as they allow the same pattern to be adjusted over different regions of the data,...
