Publications related to Separable extension

Lower bounds for Pythagoras numbers of function fields

We show that the transcendence degree of a real function field over an arbitrary real base field is a strict lower bound for its Pythagoras number and a weak lower bound for all its higher Pythagoras numbers. ...

European Mathematical Soc2015

Discriminant Multi-Label Manifold Embedding for Facial Action Unit Detection

Jean-Philippe Thiran, Anil Yuce, Hua Gao

This article describes a system for participation in the Facial Expression Recognition and Analysis (FERA2015) sub-challenge for spontaneous action unit occurrence detection. The problem of AU detection is a multi-label classification problem by its nature ...

2015

Registration with the Point Cloud Library A Modular Framework for Aligning in 3-D

Alexandru Eugen Ichim

The open-source point cloud library (PCL) and the tools available for point cloud registration is presented. Pairwise registration is usually carried out by means of one of the several variants of the ICP algorithm. Due to the nonconvexity of the optimizat ...

Ieee-Inst Electrical Electronics Engineers Inc2015

An efficient deterministic test for Kloosterman sum zeros

Robert Granger

We propose a simple deterministic test for deciding whether or not a non-zero element

a \in \mathbb{F}_{2^n}

or

\mathbb{F}_{3^n}

is a zero of the corresponding Kloosterman sum over these fields, and analyse its complexity. The test seems to have been o ...

American Mathematical Society2014

Local versus nonlocal barycenttic interactions in 1 D agent dynamics

Max-Olivier Hongler, Olivier Gallay, Roger Filliger

The mean-field dynamics of a collection of stochastic agents evolving under local and nonlocal interactions in one dimension is studied via analytically solvable models. The nonlocal interactions between agents result from (a) a finite extension of the age ...

Amer Inst Mathematical Sciences2014

Various perspectives on the extension of graphic statics to the third dimension

Corentin Jean Dominique Fivet

This paper discusses the strengths, limitations and potential of three future computer-aided approaches for three-dimensional graphic statics. It concludes that a fully three-dimensional extension of graphics statics would create new possibilities for deal ...

2014

Hermitian Categories, Extension Of Scalars And Systems Of Sesquilinear Forms

Eva Bayer Fluckiger, Daniel Arnold Moldovan

We prove that the category of systems of sesquilinear forms over a given hermitian category is equivalent to the category of unimodular 1-hermitian forms over another hermitian category. The sesquilinear forms are not required to be unimodular or defined o ...

Pacific Journal Mathematics2014

Stochastic MPC framework for controlling the average constraint violation

Colin Neil Jones, Milan Korda

This paper considers linear discrete-time systems with additive, bounded, disturbances subject to hard control input bounds and a stochastic constraint on the amount of state-constraint violation averaged over time. The amount of violations is quantified b ...

Institute of Electrical and Electronics Engineers2014

Mathematical analysis of variational isogeometric methods

Annalisa Buffa, Rafael Vazquez Hernandez

This review paper collects several results that form part of the theoretical foundation of isogeometric methods. We analyse variational techniques for the numerical resolution of PDEs based on splines or NURBS and we provide optimal approximation and error ...

2014

Mixed-signal power system emulator extension to solve unbalanced fault transient stability analysis

Maher Kayal, Theodoros Kyriakidis, Guillaume Olivier Lanz

This paper presents the extension of a platform originally devoted to symmetrical transient stability analysis, into the domain of unbalanced faults. The aim of this solver is to increase the speed of dynamic stability assessment for power systems. It is b ...

IEEE2014

Separable extension

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Lower bounds for Pythagoras numbers of function fields

Discriminant Multi-Label Manifold Embedding for Facial Action Unit Detection

Registration with the Point Cloud Library A Modular Framework for Aligning in 3-D

An efficient deterministic test for Kloosterman sum zeros

Local versus nonlocal barycenttic interactions in 1 D agent dynamics

Various perspectives on the extension of graphic statics to the third dimension

Hermitian Categories, Extension Of Scalars And Systems Of Sesquilinear Forms

Stochastic MPC framework for controlling the average constraint violation

Mathematical analysis of variational isogeometric methods

Mixed-signal power system emulator extension to solve unbalanced fault transient stability analysis

Mathematical analysis of variational isogeometric methods

Registration with the Point Cloud Library A Modular Framework for Aligning in 3-D

Lower bounds for Pythagoras numbers of function fields

Discriminant Multi-Label Manifold Embedding for Facial Action Unit Detection

An efficient deterministic test for Kloosterman sum zeros

Local versus nonlocal barycenttic interactions in 1 D agent dynamics

Various perspectives on the extension of graphic statics to the third dimension

Hermitian Categories, Extension Of Scalars And Systems Of Sesquilinear Forms

Stochastic MPC framework for controlling the average constraint violation

Mixed-signal power system emulator extension to solve unbalanced fault transient stability analysis