Results 21 to 30 of about 12,007 (165)
Beyond Moore-Penrose Part II: The Sparse Pseudoinverse [PDF]
This is the second part of a two-paper series on generalized inverses that minimize matrix norms. In Part II we focus on generalized inverses that are minimizers of entrywise p norms whose main representative is the sparse pseudoinverse for $p = 1$.
Ivan Dokmanić, Rémi Gribonval
openalex +5 more sources
Boundary Value Problems for Delay Differential Systems
Conditions are derived of the existence of solutions of linear Fredholm's boundary-value problems for systems of ordinary differential equations with constant coefficients and a single delay, assuming that these solutions satisfy the initial and ...
A. Boichuk+3 more
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Design and Implementation of a Machine Learning State Estimation Model for Unobservable Microgrids
An observable microgrid may become unobservable when sensors are at fault, sensor data is missing, or data has been tampered by malicious agents.
Byron Alejandro Acuna Acurio+4 more
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Communication through coherent control of quantum channels [PDF]
A completely depolarising quantum channel always outputs a fully mixed state and thus cannot transmit any information. In a recent Letter [D. Ebler et al., Phys. Rev. Lett.
Abbott, Alastair A.+4 more
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A general iterative solver for unbalanced inconsistent transportation problems [PDF]
The transportation problem, as a particular case of a linear programme, has probably the highest relative frequency with which appears in applications. At least in its classical formulation, it involves demands and supplies.
Doina Carp+2 more
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On the properties of a matrix valued derivative utilizing the Moore-Penrose inverse [PDF]
Utilizing the Moore/Penrose pseudoinverse to generalize invertibility in the set of matrices, the standard difference quotient in the univariate calculus is generalized to [ƒ (X + H) − ƒ (X)]H+, where ƒ is a matrix valued function and H+ denotes the ...
Hallum, C.R.+2 more
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Kernel and Range Approach to Analytic Network Learning
A novel learning approach for a composite function that can be written in the form of a matrix system of linear equations is introduced in this paper.
Kar-Ann Toh
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Weaker assumptions for convergence of extended block Kaczmarz and Jacobi projection algorithms
Recent developments in the field of image reconstruction have given rise to the use of projective iterative methods, such as Kaczmarz and Jacobi, when solving inconsistent linear least squares problems. In this paper we try to generalize previous results
Carp Doina+2 more
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A Hadamard-type open map theorem for submersions and applications to completeness results in Control Theory [PDF]
We prove a quantitative openness theorem for $C^1$ submersions under suitable assumptions on the differential. We then apply our result to a class of exponential maps appearing in Carnot-Carath\'eodory spaces and we improve a classical completeness ...
Bonfiglioli, Andrea+2 more
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A comprehensive treatment of Rayleigh-Schrödinger perturbation theory for the symmetric matrix eigenvalue problem is furnished with emphasis on the degenerate problem. The treatment is simply based upon the Moore-Penrose pseudoinverse thus distinguishing
Brian J. McCartin
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