Concept
Invariant subspace problem
Related publications (6)
Hermitian formulation of multiple scattering induced topological phases in metamaterial crystals
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In this article we develop an analog to the SSH model in tight-binding chains of resonators and an innovative Hermitian matrix formulation to describe the topological phases induced by multiple scattering at subwavelength scales in one-dimensional structur ...
2020Spectral Subspace Analysis for Automatic Assessment of Pathological Speech Intelligibility
Hervé Bourlard, Ina Kodrasi, Parvaneh Janbakhshi
Speech intelligibility is an important assessment criterion of the communicative performance of pathological speakers. To assist clinicians in their assessment, time- and cost-efficient automatic intelligibility measures offering a repeatable and reliable ...
2019Fast hierarchical solvers for symmetric eigenvalue problems
In this thesis we address the computation of a spectral decomposition for symmetric
banded matrices. In light of dealing with large-scale matrices, where classical dense
linear algebra routines are not applicable, it is essential to design alternative tech ...
EPFL2018Implementation of optimal Galerkin and Collocation approximations of PDEs with Random Coefficients
Fabio Nobile, Lorenzo Tamellini
In this work we first focus on the Stochastic Galerkin approximation of the solution u of an elliptic stochastic PDE. We rely on sharp estimates for the decay of the coefficients of the spectral expansion of u on orthogonal polynomials to build a sequence ...
2011On the power of combinatorial and spectral invariants
We extend the traditional spectral invariants (spectrum and angles) by a stronger polynomial time computable graph invariant based on the angles between projections of standard basis vectors into the eigenspaces (in addition to the usual angles between sta ...
2010Multivariate calibration of non-replicated measurements for the factored noise model
The accuracy of a multivariate calibration (MVC) model for relating concentrations of multicomponent mixtures to their spectral measurements, depends on effective handling of errors in the measured data. For the case when error variances vary along only on ...
2009