Publications related to Discrete mathematics

Graph learning under sparsity priors

Graph signals offer a very generic and natural representation for data that lives on networks or irregular structures. The actual data structure is however often unknown a priori but can sometimes be estimated from the knowledge of the application domain. ...

Ieee2017

Fluid-structure interaction for vascular flows: From supercomputers to laptops

Simone Deparis, Davide Forti, Claudia Maria Colciago

Several models exist for the simulation of vascular flows; they span from simple circuit models to full three-dimensional ones that take into account detailed features of the blood and of the arterialwall. Eachmodel comeswith both benefits and drawbacks, t ...

De Gruyter2017

Geometric phases in discrete dynamical systems

Nicolas Piro Mastracchio

In order to study the behaviour of discrete dynamical systems under adiabatic cyclic variations of their parameters, we consider discrete versions of adiabatically-rotated rotators. Parallelling the studies in continuous systems, we generalize the concept ...

Elsevier Science Bv2016

Crossing Probabilities in Topological Rectangles for the Critical Planar FK-Ising model

Clément Hongler

We consider the FK-Ising model in two dimensions at criticality. We obtain bounds on crossing probabilities of arbitrary topological rectangles, uniform with respect to the boundary conditions, generalizing results of [DCHN11] and [CS12]. Our result relies ...

Institute of Mathematical Statistics2016

Model-Driven Understanding of Palmitoylation Dynamics: Regulated Acylation of the Endoplasmic Reticulum Chaperone Calnexin

Vassily Hatzimanikatis, Françoise Gisou van der Goot Grunberg, Laurence Gouzi Abrami, Georgios Savoglidis, Patrick Alain Sandoz, Tiziano Dallavilla

Cellular functions are largely regulated by reversible post-translational modifications of proteins which act as switches. Amongst these, S-palmitoylation is unique in that it confers hydrophobicity. Due to technical difficulties, the understanding of this ...

Public Library of Science2016

Shapes from pixels

Martin Vetterli, Arash Amini, Loïc Arnaud Baboulaz, Mitra Fatemi

Continuous-domain visual signals are usually captured as discrete (digital) images. This operation is not invertible in general, in the sense that the continuous-domain signal cannot be exactly reconstructed based on the discrete image, unless it satisfies ...

Institute of Electrical and Electronics Engineers2016

Enhanced current and voltage regulators for stand-alone applications

Federico De Bosio

State feedback decoupling permits to achieve a better dynamic response for Voltage Source in stand-alone applications. The design of current and voltage regulators is performed in the discrete-time domain since it provides better accuracy and allows direct ...

Ieee2016

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

Robert Granger, Thorsten Kleinjung, Jens Markus Zumbrägel

For~

q

a prime power, the discrete logarithm problem (DLP) in~

\F_{q}

consists in finding, for any

g \in \mathbb{F}_{q}^{\times}

and

h \in \langle g \rangle

, an integer~

x

such that

g^x = h

. We present an algorithm for computing discrete logarithm ...

2016

A new mathematical formulation to integrate supply and demand within a choice-based optimization framework

Michel Bierlaire, Shadi Sharif Azadeh, Meritxell Pacheco Paneque

During the last decade, there has been an increasing trend to combine customer behavior models in optimization, since it provides a better understanding of the preferences of clients to policy makers while planning for their systems. These preferences are ...

2016

Smoothly Deformable Spheres: Modeling, Deformation, and Interaction

Michaël Unser, Pablo Garcia-Amorena Garcia, Daniel Andreas Schmitter

Existing shape models with spherical topology are typically designed either in the discrete domain using interpolating polygon meshes or in the continuous domain using smooth but non-interpolating schemes such as NURBS. Polygon models and subdivision metho ...

ACM2016

Discrete mathematics

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Graph learning under sparsity priors

Fluid-structure interaction for vascular flows: From supercomputers to laptops

Geometric phases in discrete dynamical systems

Crossing Probabilities in Topological Rectangles for the Critical Planar FK-Ising model

Model-Driven Understanding of Palmitoylation Dynamics: Regulated Acylation of the Endoplasmic Reticulum Chaperone Calnexin

Shapes from pixels

Enhanced current and voltage regulators for stand-alone applications

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

A new mathematical formulation to integrate supply and demand within a choice-based optimization framework

Smoothly Deformable Spheres: Modeling, Deformation, and Interaction

Fluid-structure interaction for vascular flows: From supercomputers to laptops

Model-Driven Understanding of Palmitoylation Dynamics: Regulated Acylation of the Endoplasmic Reticulum Chaperone Calnexin

Geometric phases in discrete dynamical systems

Crossing Probabilities in Topological Rectangles for the Critical Planar FK-Ising model

Shapes from pixels

Graph learning under sparsity priors

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

A new mathematical formulation to integrate supply and demand within a choice-based optimization framework

Smoothly Deformable Spheres: Modeling, Deformation, and Interaction

Enhanced current and voltage regulators for stand-alone applications