Publications related to Transcendental function

Non-local Functionals Related to the Total Variation and Connections with Image Processing

We present new results concerning the approximation of the total variation,

\int_{\Omega} |\nabla u|

, of a function

u

by non-local, non-convex functionals of the form $$ \Lambda_\delta u = \int_{\Omega} \int_{\Omega} \frac{\delta \varphi \big( |u(x) - ...

2018

Rosetta FunFolDes - A general framework for the computational design of functional proteins

Bruno Emanuel Ferreira De Sousa Correia, Andreas Scheck, Jaume Bonet Martinez, Fabian Sesterhenn, Stéphane Rosset, Che Yang, Sarah Wehrle, Freyr Sverrisson, Sabrina Susan Vollers, Mélanie Evelyne Villard, Anne Marie-Thérèse Suzanne Billet, Roxanne Marine Lourman, Karen Schriever

The robust computational design of functional proteins has the potential to deeply impact translational research and broaden our understanding of the determinants of protein function and stability. The low success rates of computational design protocols an ...

2018

Robust Maximization of Non-Submodular Objectives

Volkan Cevher, Ilija Bogunovic, Junyao Zhao

We study the problem of maximizing a monotone set function subject to a cardinality constraint k in the setting where some number of elements is deleted from the returned set. The focus of this work is on the worst-case adversarial setting. While there exi ...

2018

Non-linear transfer function identification of pressure probes using Siren Disks

Jürg Alexander Schiffmann, Karim Magdi Zakaria Abdelrahman Shalash, Fatma Ceyhun Sahin

This article presents a Siren Disk proof of concept for the dynamic excitation of pressure probes, and a method to reconstruct distorted signals due to pneumatic channels. Constraints in sensor installation require placing a pressure transducer distant fro ...

2018

Analytic twists of modular forms and applications

Alexandre François Peyrot

We are interested in the study of non-correlation of Fourier coefficients of Maass forms against a wide class of real analytic functions. In particular, the class of functions we are interested in should be thought of as some archimedean analogs of Frobeni ...

EPFL2017

Sampling at unknown locations, with an application in surface retrieval

Martin Vetterli, Benjamin Bejar Haro, Adam James Scholefield, Michalina Wanda Pacholska

We consider the problem of sampling at unknown locations. We prove that, in this setting, if we take arbitrarily many samples of a polynomial or real bandlimited signal, it is possible to find another function in the same class, arbitrarily far away from t ...

2017

The Particle-In-Fourier (PIF) Approach Applied to Gyrokinetic Simulations

Laurent Villard, Stephan Brunner, Emmanuel Lanti, Noé Thomas Elie Ohana, Claudio Gheller, Aaron Lewis Scheinberg

A widespread method for gyrokinetic simulations relies on the discretization of distribution functions with numerical markers. The electromagnetic field is typically represented on a grid by finite differences or finite elements (Particle-In-Cell, PIC). Wh ...

2017

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Fabio Nobile, Giovanni Migliorati

We analyze the accuracy of the discrete least-squares approximation of a function

u

in multivariate polynomial spaces

P_\Lambda:=span\{y\mapsto y^\nu \,: \, \nu\in \Lambda\}

with

\Lambda\subset N_0^d

over the domain

\Gamma:=[-1,1]^d

, based on the s ...

2017

MATHICSE Technical Report : The index of singular zeros of harmonic mappings of anti-analytic degree one

Robert Gerhard Jérôme Luce

We study harmonic mappings of the form f(z) = h(z) 􀀀 z, where h is an analytic function. In particular we are interested in the index (a generalized multiplicity) of the zeros of such functions. Outside the critical set of f, where the Jacobian of f is non ...

MATHICSE2017

Energy dissipation in Suspended Microchannel Resonators as function of channel off-axis placement

Annalisa De Pastina, Mauricio Lucena Couto

Suspended Microchannel Resonators (SMRs) enable real time analysis of fluidic samples with almost no degradation of the quality factor. - Energy dissipation is a non-monotonic function of the fluid viscosity. - Quality factor is highly dependent on the mic ...

2017

Transcendental function

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Non-local Functionals Related to the Total Variation and Connections with Image Processing

Rosetta FunFolDes - A general framework for the computational design of functional proteins

Robust Maximization of Non-Submodular Objectives

Non-linear transfer function identification of pressure probes using Siren Disks

Analytic twists of modular forms and applications

Sampling at unknown locations, with an application in surface retrieval

The Particle-In-Fourier (PIF) Approach Applied to Gyrokinetic Simulations

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

MATHICSE Technical Report : The index of singular zeros of harmonic mappings of anti-analytic degree one

Energy dissipation in Suspended Microchannel Resonators as function of channel off-axis placement

Non-local Functionals Related to the Total Variation and Connections with Image Processing

Sampling at unknown locations, with an application in surface retrieval

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Robust Maximization of Non-Submodular Objectives

MATHICSE Technical Report : The index of singular zeros of harmonic mappings of anti-analytic degree one

The Particle-In-Fourier (PIF) Approach Applied to Gyrokinetic Simulations

Rosetta FunFolDes - A general framework for the computational design of functional proteins

Non-linear transfer function identification of pressure probes using Siren Disks

Analytic twists of modular forms and applications

Energy dissipation in Suspended Microchannel Resonators as function of channel off-axis placement