The Magnus expansion and some of its applications

S Blanes, F Casas, JA Oteo, J Ros - Physics reports, 2009 - Elsevier
Approximate resolution of linear systems of differential equations with varying coefficients is
a recurrent problem, shared by a number of scientific and engineering areas, ranging from …

R2p2: A reparameterized pushforward policy for diverse, precise generative path forecasting

N Rhinehart, KM Kitani… - Proceedings of the …, 2018 - openaccess.thecvf.com
We propose a method to forecast a vehicle's ego-motion as a distribution over
spatiotemporal paths, conditioned on features (eg, from LIDAR and images) embedded in …

Implementing a universal gate set on a logical qubit encoded in an oscillator

RW Heeres, P Reinhold, N Ofek, L Frunzio… - Nature …, 2017 - nature.com
A logical qubit is a two-dimensional subspace of a higher dimensional system, chosen such
that it is possible to detect and correct the occurrence of certain errors. Manipulation of the …

[PDF][PDF] Functions of Matrices: Theory and Computation

NJ Higham - 2008 - eprints.maths.manchester.ac.uk
Functions of matrices have been studied for as long as matrix algebra itself. Indeed, in his
seminal A Memoir on the Theory of Matrices (1858), Cayley investigated the square root of a …

Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later

C Moler, C Van Loan - SIAM review, 2003 - SIAM
In principle, the exponential of a matrix could be computed in many ways. Methods involving
approximation theory, differential equations, the matrix eigenvalues, and the matrix …

The scaling and squaring method for the matrix exponential revisited

NJ Higham - SIAM Journal on Matrix Analysis and Applications, 2005 - SIAM
The scaling and squaring method is the most widely used method for computing the matrix
exponential, not least because it is the method implemented in MATLAB's\tt expm function …

MuLoG, or how to apply Gaussian denoisers to multi-channel SAR speckle reduction?

CA Deledalle, L Denis, S Tabti… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
Speckle reduction is a longstanding topic in synthetic aperture radar (SAR) imaging. Since
most current and planned SAR imaging satellites operate in polarimetric, interferometric, or …

Exponential natural evolution strategies

T Glasmachers, T Schaul, S Yi, D Wierstra… - Proceedings of the 12th …, 2010 - dl.acm.org
The family of natural evolution strategies (NES) offers a principled approach to real-valued
evolutionary optimization by following the natural gradient of the expected fitness. Like the …

Rational Krylov approximation of matrix functions: Numerical methods and optimal pole selection

S Güttel - GAMM‐Mitteilungen, 2013 - Wiley Online Library
Matrix functions are a central topic of linear algebra, and problems of their numerical
approximation appear increasingly often in scientific computing. We review various rational …

The scaling and squaring method for the matrix exponential revisited

NJ Higham - SIAM review, 2009 - SIAM
The scaling and squaring method is the most widely used method for computing the matrix
exponential, not least because it is the method implemented in the MATLAB function expm …