Concept

Matrix calculus

Related publications (29)

Reservoir optimization in recurrent neural networks using properties of Kronecker product

Martin Hasler, Ali Ajdari Rad, Mahdi Jalili

Recurrent neural networks based on reservoir computing are increasingly being used in many applications. Optimization of the topological structure of the reservoir and the internal connection weights for a given task is one of the most important problems i ...

2010

The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity

Bernard Dacorogna

Any finite, separately convex, positively homogeneous function on

\mathbb{R}^2

is convex. This was first established by the first author ["Direct methods in calculus of variations", Springer-Verlag (1989)]. Here we give a new and concise proof of this re ...

2008

Balancing sparse Hamiltonian eigenproblems

Daniel Kressner

Balancing a matrix by a simple and accurate similarity transformation can improve the speed and accuracy of numerical methods for computing eigenvalues. We describe balancing strategies for a large and sparse Hamiltonian matrix H. It is first shown how to ...

Elsevier2006

Solving issues in the estimation of econometric models

Michel Bierlaire, Michaël Clément Louis Ghislain Thémans

Econometric models play an important role in transportation analysis. Estimating more and more complex models becomes problematic. The associated log-likelihood function is highly nonlinear and non concave and the comlexity of the model requires constraint ...

STRC 20062006

Solving singularity issues in the estimation of econometric models

Michel Bierlaire, Michaël Clément Louis Ghislain Thémans

2006

Stabilized Galerkin approximation of convection-diffusion-reaction equations: discrete maximum principle and convergence

Erik Burman

We analyze a nonlinear shock-capturing scheme for H1-conforming, piecewise-affine finite element approximations of linear elliptic problems. The meshes are assumed to satisfy two standard conditions: a local quasi-uniformity property and the Xu- ...

2005

Correlation between sizing formulation and compressive behaviour of concentrated glass bundle suspensions

Véronique Michaud, Emmanuelle Comte

The correlation between sizing formulation, bundle mechanical characteristics, and bundle-matrix static and dynamic interactions are investigated. Two glass-fiber sizing formulations are considered, one containing polyvinyl acetate (PVAc) and the other pol ...

2005

Structural dynamics in quantum solids. I. Steady-state spectroscopy of the electronic bubble in solid hydrogens

Majed Chergui, Franco Vigliotti

The structural changes due to formation of electronic bubbles in solid D2 are studied by fluorescence, fluorescence-excitation, and fluorescence-depletion spectroscopy of the lowest Rydberg state, A 2S+(3ss), of the NO impurity. The A X band is strongly bl ...

2002

Complex WKB method for 3-level scattering systems

Charles Pfister

In this note the S‐matrix naturally associated with a singularly perturbed three‐dimensional system of linear differential equations without turning point on the real axis is considered. It is shown that for a fairly large class of examples, the Complex WK ...

2000

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The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity

Bernard Dacorogna

Any finite, separately convex, positively homogeneous function on

\mathbb{R}^2

is convex. This was first established by the first author ["Direct methods in calculus of variations", Springer-Verlag (1989)]. Here we give a new and concise proof of this re ...

2008