Results 21 to 30 of about 1,306 (85)
IET Image Processing, Volume 19, Issue 1, January/December 2025.This paper proposes a quaternion‐based framework for color image restoration, addressing challenges such as color distortion and structural artifacts. By combining low‐rank pseudo‐norm constraints with saturation‐value total variation (SVTV) regularization and solving via ADMM, the method achieves high‐quality results in denoising, deblurring, and ...
Zipeng Fu +3 more
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IET Radar, Sonar &Navigation, Volume 19, Issue 1, January/December 2025.A generalisation of the Kalman Filter and Linar Quadratic Gaussian controller to deal with multi‐sensor and multi‐agent/target scenarios is developed through tensor algebra. Applications of the tensor‐LQG allow developing parallel optimal control and waveform design suitable for multi‐radar and multi‐agent/target systems.
Alfonso Farina +3 more
wiley +1 more source
Bayesian Robust Tensor Decomposition Based on MCMC Algorithm for Traffic Data Completion
IET Signal Processing, Volume 2025, Issue 1, 2025.Data loss is a common problem in intelligent transportation systems (ITSs). And the tensor‐based interpolation algorithm has obvious superiority in multidimensional data interpolation. In this paper, a Bayesian robust tensor decomposition method (MBRTF) based on the Markov chain Monte Carlo (MCMC) algorithm is proposed.
Longsheng Huang +6 more
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Computational and Mathematical Methods, Volume 2025, Issue 1, 2025.This study presents analytical and numerical‐analytical decomposition methods for determining complex one‐parameter generalized inverse Moore–Penrose matrices. The analytical approach is based on the third Moore–Penrose condition, offering three solution options.
Sargis Simonyan +3 more
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Complexity, Volume 2025, Issue 1, 2025.Cellular automata are powerful tools for simulating dynamic environments. Their ability to model complex systems where the environment actively influences outcomes makes them invaluable for studying phenomena such as wildfires, marine pollution, and population dynamics.
Pau Fonseca i Casas, Pramita Mishra
wiley +1 more source
Nonnegative low multi‐rank third‐order tensor approximation via transformation
Numerical Linear Algebra with Applications, Volume 31, Issue 6, December 2024.Abstract The main aim of this paper is to develop a new algorithm for computing a nonnegative low multi‐rank tensor approximation for a nonnegative tensor. In the literature, there are several nonnegative tensor factorizations or decompositions, and their approaches are to enforce the nonnegativity constraints in the factors of tensor factorizations or
Guang‐Jing Song +3 more
wiley +1 more source
Equivariant birational types and derived categories
Mathematische Nachrichten, Volume 297, Issue 11, Page 4333-4355, November 2024.Abstract We investigate equivariant birational geometry of rational surfaces and threefolds from the perspective of derived categories.
Christian Böhning +2 more
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Adjoint Brascamp–Lieb inequalities
Proceedings of the London Mathematical Society, Volume 129, Issue 4, October 2024.Abstract The Brascamp–Lieb inequalities are a generalization of the Hölder, Loomis–Whitney, Young, and Finner inequalities that have found many applications in harmonic analysis and elsewhere. In this paper, we introduce an “adjoint” version of these inequalities, which can be viewed as an Lp$L^p$ version of the entropic Brascamp–Lieb inequalities of ...
Jonathan Bennett, Terence Tao
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Projective duality encodes complementary orientations in geometric algebras
Mathematical Methods in the Applied Sciences, Volume 47, Issue 14, Page 11422-11438, 30 September 2024.Oriented elements are part of geometry, and they come in two complementary types: intrinsic and extrinsic. Those different orientation types manifest themselves by behaving differently under reflection. Projective dualization in geometric algebras can encode them, or conversely, orientation types inform the interpretation of dualization.
Leo Dorst
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An Elementary Introduction to Information Geometry. [PDF]
Entropy (Basel), 2020 Nielsen F.
europepmc +1 more source