Publications related to Differential algebra

Parabolic stochastic PDEs on bounded domains with rough initial conditions: moment and correlation bounds

Le Chen, Cheuk Yin Lee, David Jean-Michel Candil

We consider nonlinear parabolic stochastic PDEs on a bounded Lipschitz domain driven by a Gaussian noise that is white in time and colored in space, with Dirichlet or Neumann boundary condition. We establish existence, uniqueness and moment bounds of the r ...

New York2023

Functional estimation of anisotropic covariance and autocovariance operators on the sphere

Victor Panaretos, Julien René Pierre Fageot, Matthieu Martin Jean-André Simeoni, Alessia Caponera

We propose nonparametric estimators for the second-order central moments of possibly anisotropic spherical random fields, within a functional data analysis context. We consider a measurement framework where each random field among an identically distribute ...

2022

Structure of multicorrelation sequences with integer part polynomial iterates along primes

Florian Karl Richter

Let T be a measure-preserving Zℓ-action on the probability space (X,B,μ), let q1,…,qm:R→Rℓ be vector polynomials, and let f0,…,fm∈L∞⁡(X). For any ϵ>0 and multicorrelation sequences of the form α⁡(n)=∫Xf0⋅T⌊q1⁡(n)⌋⁢f1⋯T⌊qm⁡(n)⌋⁢fmd⁢μ we show that there exis ...

2021

Admissibility of Uncertain Injections in Quadratic Algebraic Systems

Jean-Yves Le Boudec, Cong Wang, Eleni Stai

We study the admissibility problem in multivariate algebraic systems, such as ac electrical networks, where the power injection is quadratic in the state. The goal of such systems is to ensure that the state stays in some security set (e.g., magnitudes of ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2021

Analysis of a bac operon-silenced strain suggests pleiotropic effects of bacilysin in Bacillus subtilis

Mustafa Demir

Bacilysin, as the simplest peptide antibiotic made up of only L-alanine and L-anticapsin, is produced and excreted by Bacillus subtilis under the control of quorum sensing. We analyzed bacilysin-nonproducing strain OGU1 which was obtained by bacA-targeted ...

MICROBIOLOGICAL SOCIETY KOREA2020

Local Non-Rigid Structure-from-Motion from Diffeomorphic Mappings

Pascal Fua, Mathieu Salzmann, Shaifali Parashar

We propose a new formulation to non-rigid structure-from-motion that only requires the deforming surface to preserve its differential structure. This is a much weaker assumption than the traditional ones of isometry or conformality. We show that it is neve ...

IEEE2020

Deconvolution of Sustained Neural Activity From Large-Scale Calcium Imaging Data

Dimitri Nestor Alice Van De Ville, Fikret Isik Karahanoglu, Younes Farouj

Recent technological advances in light-sheet microscopy make it possible to perform whole-brain functional imaging at the cellular level with the use of Ca2+ indicators. The outstanding spatial extent and resolution of this type of data open unique opportu ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2020

Local Non-Rigid Structure-from-Motion from Locally Diffeomorphic Mappings

Pascal Fua, Mathieu Salzmann, Shaifali Parashar

We propose a new formulation to the non-rigid structure-from-motion problem that only requires the deforming surface to meaning that its differential structure is preserved. This is a much weaker assumption than the traditional ones of isometry or conforma ...

2020

Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure

Fabio Nobile, Francesca Bonizzoni, Davide Pradovera

In this work, we consider the approximation of Hilbert space-valued meromorphic functions that arise as solution maps of parametric PDEs whose operator is the shift of an operator with normal and compact resolvent, e.g., the Helmholtz equation. In this res ...

2020

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Differential algebra

Parabolic stochastic PDEs on bounded domains with rough initial conditions: moment and correlation bounds

Functional estimation of anisotropic covariance and autocovariance operators on the sphere

Structure of multicorrelation sequences with integer part polynomial iterates along primes

Admissibility of Uncertain Injections in Quadratic Algebraic Systems

Analysis of a bac operon-silenced strain suggests pleiotropic effects of bacilysin in Bacillus subtilis

Local Non-Rigid Structure-from-Motion from Diffeomorphic Mappings

Deconvolution of Sustained Neural Activity From Large-Scale Calcium Imaging Data

Local Non-Rigid Structure-from-Motion from Locally Diffeomorphic Mappings

Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure

Differential operators for superconformal correlation functions

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Chat with Graph Search

Local Non-Rigid Structure-from-Motion from Diffeomorphic Mappings

Local Non-Rigid Structure-from-Motion from Locally Diffeomorphic Mappings

Deconvolution of Sustained Neural Activity From Large-Scale Calcium Imaging Data

Parabolic stochastic PDEs on bounded domains with rough initial conditions: moment and correlation bounds

Functional estimation of anisotropic covariance and autocovariance operators on the sphere

Admissibility of Uncertain Injections in Quadratic Algebraic Systems

Structure of multicorrelation sequences with integer part polynomial iterates along primes

Analysis of a bac operon-silenced strain suggests pleiotropic effects of bacilysin in Bacillus subtilis

Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure

Differential operators for superconformal correlation functions