Publications related to Exterior algebra

Multigraded algebras and multigraded linear series

Leonid Monin, Fatemeh Mohammadi, Yairon Cid Ruiz

This paper is devoted to the study of multigraded algebras and multigraded linear series. For an Ns

\mathbb {N}s

-graded algebra A

A

, we define and study its volume function FA:N+s -> R

F_A:\mathbb {N}_+s\rightarrow \mathbb {R}

, which computes the ...

Wiley2024

A Proximal-Point Lagrangian-Based Parallelizable Nonconvex Solver for Bilinear Model Predictive Control

Colin Neil Jones, Yuning Jiang, Yingzhao Lian

Nonlinear model predictive control (NMPC) has been widely adopted to manipulate bilinear systems with dynamics that include products of the inputs and the states. These systems are ubiquitous in chemical processes, mechanical systems, and quantum physics, ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2023

High order geometric methods with splines: fast solution with explicit time-stepping for Maxwell equations

Bernard Kapidani, Rafael Vazquez Hernandez

We introduce a high-order spline geometric approach for the initial boundary value problem for Maxwell's equations. The method is geometric in the sense that it discretizes in structure preserving fashion the two de Rham sequences of differential forms inv ...

2023

Supersymmetries in nonequilibrium Langevin dynamics

Elisabeth Agoritsas

Stochastic phenomena are often described by Langevin equations, which serve as a mesoscopic model for microscopic dynamics. It has been known since the work of Parisi and Sourlas that reversible (or equilibrium) dynamics present supersymmetries (SUSYs). Th ...

2021

Ergodic Exploration Using Tensor Train: Applications in Insertion Tasks

Sylvain Calinon, Suhan Narayana Shetty

In robotics, ergodic control extends the tracking principle by specifying a probability distribution over an area to cover instead of a trajectory to track. The original problem is formulated as a spectral multiscale coverage problem, typically requiring t ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2021

Algebraic Homotopy Interleaving Distance

Nicolas Michel Berkouk

The theory of persistence, which arises from topological data analysis, has been intensively studied in the one-parameter case both theoretically and in its applications. However, its extension to the multi-parameter case raises numerous difficulties, wher ...

SPRINGER INTERNATIONAL PUBLISHING AG2021

Shape optimization for a noise reduction problem by non-intrusive parametric reduced modeling

Francesca Bonizzoni, Davide Pradovera

We study a PDE-constrained optimization problem, where the shape and liner material of the nacelle of an aircraft engine are optimized in order to minimize the noise radiated by the engine. More precisely, the acoustic problem is modeled by the Helmholtz e ...

2021

Characterization of the traces on the boundary of functions in magnetic Sobolev spaces

Hoài-Minh Nguyên

We characterize the trace of magnetic Sobolev spaces defined in a half-space or in a smooth bounded domain in which the magnetic field Ais differentiable and its exterior derivative corresponding to the magnetic field dAis bounded. In particular, we prove ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2020

Shake table test of a masonry building retrofitted with shotcrete

Katrin Beyer, Kiarash Mohtasham Dolatshahi

This paper presents the results of a series of shake table tests carried out on a half-scale single-story unreinforced masonry building with asymmetric openings. First, the unretrofitted building is subjected to seven increasing steps of bidirectional seis ...

ELSEVIER SCI LTD2020

Shapes From Echoes: Uniqueness From Point-to-Plane Distance Matrices

Martin Vetterli, Ivan Dokmanic, Miranda Krekovic

We study the problem of localizing a configuration of points and planes from the collection of point-to-plane distances. This problem models simultaneous localization and mapping from acoustic echoes as well as the & x201C;structure from sound & x201D; app ...

2020

Exterior algebra

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Multigraded algebras and multigraded linear series

A Proximal-Point Lagrangian-Based Parallelizable Nonconvex Solver for Bilinear Model Predictive Control

High order geometric methods with splines: fast solution with explicit time-stepping for Maxwell equations

Supersymmetries in nonequilibrium Langevin dynamics

Ergodic Exploration Using Tensor Train: Applications in Insertion Tasks

Algebraic Homotopy Interleaving Distance

Shape optimization for a noise reduction problem by non-intrusive parametric reduced modeling

Characterization of the traces on the boundary of functions in magnetic Sobolev spaces

Shake table test of a masonry building retrofitted with shotcrete

Shapes From Echoes: Uniqueness From Point-to-Plane Distance Matrices

High order geometric methods with splines: fast solution with explicit time-stepping for Maxwell equations

Ergodic Exploration Using Tensor Train: Applications in Insertion Tasks

Supersymmetries in nonequilibrium Langevin dynamics

Characterization of the traces on the boundary of functions in magnetic Sobolev spaces

Algebraic Homotopy Interleaving Distance

Shape optimization for a noise reduction problem by non-intrusive parametric reduced modeling

Shapes From Echoes: Uniqueness From Point-to-Plane Distance Matrices

Multigraded algebras and multigraded linear series

Shake table test of a masonry building retrofitted with shotcrete

A Proximal-Point Lagrangian-Based Parallelizable Nonconvex Solver for Bilinear Model Predictive Control