Concept

Algebraic equation

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Multimodal graph theoretical analysis of functional brain connectivity using adaptive two-step strategy

Dimitri Nestor Alice Van De Ville, Djalel Eddine Meskaldji

Recently, we proposed a two-step adaptive strategy for the statistical analysis of brain connectivity that is based on a first screening at the subnetwork level and a filtering at the connection/node level. The method was shown to guarantee strong control ...

2014

Equivalent-Design Crack Model for Structural Glass Elements

Pieter Christian Louter, Manuel Santarsiero

Analytical determination of safety in glass structures often uses oversimplified resistance criteria or fully probabilistic models which require special software to numerically solve the complex equations. Due to computation cost and remaining uncertainty ...

Asce-Amer Soc Civil Engineers2014

Algebraic Nahm transform for parabolic Higgs bundles on P^1

Szilárd Szabó

We formulate the Nahm transform in the context of parabolic Higgs bundles on P^1 and extend its scope in completely algebraic terms. This transform requires parabolic Higgs bundles to satisfy an admissibility condition and allows Higgs fields to have poles ...

2014

Algebraic algorithms for network information flow

Javad Ebrahimi Boroojeni

Ahlswede et al. in the seminal paper [1] have shown that in data transfer over networks, processing the data at the nodes can significantly improve the throughput. As proved by Li et al. in [2], even with a simple type of operation, namely linear operation ...

EPFL2013

Ramsey-type results for semi-algebraic relations

János Pach

A k-ary semi-algebraic relation E on R^d is a subset of R^{kd}, the set of k-tuples of points in R^d, which is determined by a finite number of polynomial equations and inequalities in kd real variables. The description complexity of such a relation is at ...

2013

Coupled equations for Kahler metrics and Yang-Mills connections

Mario Garcia Fernandez

We study equations on a principal bundle over a compact complex manifold coupling a connection on the bundle with a Kahler structure on the base. These equations generalize the conditions of constant scalar curvature for a Kahler metric and Hermite-Yang-Mi ...

Geometry & Topology Publications2013

ElimLin Algorithm Revisited

Serge Vaudenay, Pouyan Sepehrdad, Petr Susil

ElimLin is a simple algorithm for solving polynomial systems of multivariate equations over small finite fields. It was initially proposed as a single tool by Courtois to attack DES. It can reveal some hidden linear equations existing in the ideal generate ...

Springer2012

A tractable analytical model for large-scale congested protein synthesis networks

Michel Bierlaire, Carolina Osorio Pizano

This paper presents an analytical model, based on finite capacity queueing network theory, to evaluate congestion in protein synthesis networks. These networks are modeled as a set of single server bufferless queues in a tandem topology. This model propose ...

2012

COMMENT ON “MIXING BELIEFS AMONG INTERACTING AGENTS”

Jean-Yves Le Boudec, Javier Gomez Serrano

We comment on the derivation of the main equation in the bounded confidence model of opinion dynamics. In the original work, the equation is derived using an ad-hoc counting method. We point that the original derivation does contain some small mistake. The ...

World Scientific Publ Co Pte Ltd2012

Linear Local Models for Monocular Reconstruction of Deformable Surfaces

Pascal Fua, Mathieu Salzmann

Recovering the 3D shape of a nonrigid surface from a single viewpoint is known to be both ambiguous and challenging. Resolving the ambiguities typically requires prior knowledge about the most likely deformations that the surface may undergo. It often take ...

2011