Results 51 to 60 of about 12,450 (173)

What If Each Voxel Were Measured With a Different Diffusion Protocol?

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose Expansion of diffusion MRI (dMRI) both into the realm of strong gradients and into accessible imaging with portable low‐field devices brings about the challenge of gradient nonlinearities. Spatial variations of the diffusion gradients make diffusion weightings and directions non‐uniform across the field of view, and deform perfect ...
Santiago Coelho, Gregory Lemberskiy, Ante Zhu, Hong‐Hsi Lee, Nastaren Abad, Thomas K. F. Foo, Els Fieremans, Dmitry S. Novikov   +7 more
wiley   +1 more source

Linearly Convergent Randomized Iterative Methods for Computing the Pseudoinverse [PDF]

, 2016
28 pages, 10 figuresWe develop the first stochastic incremental method for calculating the Moore-Penrose pseu-doinverse of a real matrix. By leveraging three alternative characterizations of pseudoinverse matrices, we design three methods for calculating
Gower, Robert M., Richtárik, Peter
core   +2 more sources

Recovering Latent Signals from a Mixture of Measurements using a Gaussian Process Prior

, 2017
In sensing applications, sensors cannot always measure the latent quantity of interest at the required resolution, sometimes they can only acquire a blurred version of it due the sensor's transfer function. To recover latent signals when only noisy mixed
Guerrero, Pablo, Rios, Gonzalo, Tobar, Felipe, Valdivia, Tomás   +3 more
core   +1 more source

Convergence properties of dynamic mode decomposition for analytic interval maps

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 179-206, February 2026.
Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji, Julia Slipantschuk, Oscar F. Bandtlow, Wolfram Just   +3 more
wiley   +1 more source

Computing generalized inverses using LU factorization of matrix product

, 2011
An algorithm for computing {2, 3}, {2, 4}, {1, 2, 3}, {1, 2, 4} -inverses and the Moore-Penrose inverse of a given rational matrix A is established. Classes A(2, 3)s and A(2, 4)s are characterized in terms of matrix products (R*A)+R* and T*(AT*)+, where ...
Ben-Israel A., Campbell S. L., Chen L., Courrieu P., Lovass Nagy V., Milan B. Tasić, Predrag S. Stanimirović, Rao C. R., Stanimirović P. S., Stanimirović P. S., Wang G., Wolfram S.   +11 more
core   +1 more source

Definition and Computation of Tensor‐Based Generalized Function Composition

Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.
ABSTRACT Functions are fundamental to mathematics as they offer a structured and analytical framework to express relations between variables. While scalar and matrix‐based functions are well‐established, higher‐order tensor‐based functions have not been as extensively explored.
Remy Boyer
wiley   +1 more source

Lectures on Randomized Numerical Linear Algebra

, 2017
This chapter is based on lectures on Randomized Numerical Linear Algebra from the 2016 Park City Mathematics Institute summer school on The Mathematics of Data.Comment: To appear in the edited volume of lectures from the 2016 PCMI summer ...
Drineas, Petros, Mahoney, Michael W.
core   +1 more source

Data‐Driven Distributed Safe Control Design for Multi‐Agent Systems

International Journal of Adaptive Control and Signal Processing, Volume 40, Issue 1, Page 137-150, January 2026.
This paper presents a data‐driven control barrier function (CBF) technique for ensuring safe control of multi‐agent systems (MASs) with uncertain linear dynamics. A data‐driven quadratic programming (QP) optimization is first developed for CBF‐based safe control of single‐agent systems using a nonlinear controller. This approach is then extended to the
Marjan Khaledi, Bahare Kiumarsi
wiley   +1 more source

Matrix Pencil Optimal Iterative Algorithms and Restarted Versions for Linear Matrix Equation and Pseudoinverse

Mathematics
We derive a double-optimal iterative algorithm (DOIA) in an m-degree matrix pencil Krylov subspace to solve a rectangular linear matrix equation. Expressing the iterative solution in a matrix pencil and using two optimization techniques, we determine the
Chein-Shan Liu, Chung-Lun Kuo, Chih-Wen Chang   +2 more
doaj   +1 more source

Mean-field theory for the inverse Ising problem at low temperatures

, 2012
The large amounts of data from molecular biology and neuroscience have lead to a renewed interest in the inverse Ising problem: how to reconstruct parameters of the Ising model (couplings between spins and external fields) from a number of spin ...
Berg, Johannes, Nguyen, H. Chau
core   +1 more source