Concept

Orthogonal complement

Related publications (34)

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Measurement-Based Drift Correction in Spectroscopic Calibration Models

Dominique Bonvin, Michael Amrhein, Pamandeep Singh Gujral

Correct prediction of analyte concentrations from a new spectrum without drift is possible provided the spectrum lies in the row space spanned by the calibration spectra (space-inclusion condition). However, this condition may be violated as on-line spectr ...

cemagref Languedoc Roussillon2008

On Locating Byzantine Attackers

Christina Fragouli, Suhas Diggavi, Mahdi Jafari Siavoshani

We examine networks that employ network coding, and are subject to Byzantine attacks. We consider systems where an appropriate network error correcting scheme is employed that is able to correct (up to a certain number of) Byzantine errors. Given this setu ...

2008

Functional characterization of Pneumocystis carinii brl1 by transspecies complementation analysis

Viesturs Simanis

Pneumocystis jirovecii is a fungus which causes severe opportunistic infections in immunocompromised humans. The brl1 gene of P. carinii infecting rats was identified and characterized by using bioinformatics in conjunction with functional complementation ...

2007

Subspace properties of randomized network coding

Christina Fragouli, Suhas Diggavi, Mahdi Jafari Siavoshani

Randomized network coding has network nodes randomly combine and exchange linear combinations of the source packets. A header appended to the packet, called coding vector, specifies the exact linear combination that each packet carries. The main contributi ...

2007

Exponential-Spline Wavelet Bases

Michaël Unser, Ildar Khalidov

We build a multiresolution analysis based on shift-invariant exponential B-spline spaces. We construct the basis functions for these spaces and for their orthogonal complements. This yields a new family of wavelet-like basis functions of

L _{ 2 }

, wit ...

IEEE2005

Symmetry breaking in mechanical systems

The first part of this thesis studies the problem of symmetry breaking in the context of simple mechanical systems with compact symmetry Lie group G. In this part we shall assume that the principal stratum of the G-action on the configuration space Q of a ...

EPFL2005

Generalized L-Spline Wavelet Bases

Michaël Unser, Thierry Blu, Ildar Khalidov

We build wavelet-like functions based on a parametrized family of pseudo-differential operators

L _{ v }

that satisfy some admissibility and scalability conditions. The shifts of the generalized B-splines, which are localized versions of the Green func ...

SPIE2005

An Extension of Oblique Projection Sampling Theorem

Michaël Unser

In this paper, we discuss the sampling problem without a condition that was assumed in conventional sampling theorems. This means that we cannot perfectly reconstruct all functions in the reconstruction space. The perfect reconstruction is possible only fo ...

SampTA2005

Mathematical Properties of the JPEG2000 Wavelet Filters

Michaël Unser, Thierry Blu

The LeGall 5⁄3 and Daubechies 9⁄7 filters have risen to special prominence because they were selected for inclusion in the JPEG2000 standard. Here, we determine their key mathematical features: Riesz bounds, order of approximation, and regularity (Hölder a ...

IEEE2003

Sampling—50 Years After Shannon