Concept

Cousin problems

Publications associées (16)

BPS invariants from p-adic integrals

Dimitri Stelio Wyss, Francesca Carocci, Giulio Orecchia

We define p-adic BPS or pBPS invariants for moduli spaces M-beta,M-chi of one-dimensional sheaves on del Pezzo and K3 surfaces by means of integration over a non-archimedean local field F. Our definition relies on a canonical measure mu can on the F-analyt ...

Cambridge Univ Press2024

Physics-informed machine learning for reduced-order modeling of nonlinear problems

Qian Wang, Jan Sickmann Hesthaven

A reduced basis method based on a physics-informed machine learning framework is developed for efficient reduced-order modeling of parametrized partial differential equations (PDEs). A feedforward neural network is used to approximate the mapping from the ...

2021

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

Physics-informed machine learning for reduced-order modeling of nonlinear problems

Qian Wang, Jan Sickmann Hesthaven

A physics-informed machine learning framework is developed for the reduced-order modeling of parametrized steady-state partial differential equations (PDEs). During the offline stage, a reduced basis is extracted from a collection of high-fidelity solution ...

2020

Education in Process Systems Engineering: Why it matters more than ever and how it can be structured

Dominique Bonvin

This position paper is an outcome of discussions that took place at the third FIPSE Symposium in Rhodes, Greece, between June 20-22, 2016 (http://fi-in-pse.org). The FIPSE objective is to discuss open research challenges in topics of Process Systems Engine ...

PERGAMON-ELSEVIER SCIENCE LTD2019

Towards a scalable quantum computer

Edoardo Charbon, Fabio Sebastiano

A quantum machine may solve some complex problems that are intractable for even the most powerful classical computers. By exploiting quantum superposition and entanglement phenomena, quantum algorithms can achieve from polynomial to exponential speed up wh ...

2018

Challenges and opportunities of interdisciplinarity : insights from human-centric building research at EPFL

Marilyne Andersen

Interdisciplinarity has become an inherent component of most research and education developments nowadays. It brings with it new challenges, from how to share a common language to how to avoid becoming generalists, as well as new opportunities in solving m ...

2017

Multi-objective superstructure-free synthesis and optimization of thermal power plants

Ligang Wang

The merits of superstructure-free synthesis are demonstrated for bi-objective design of thermal power plants. The design of thermal power plants is complex and thus best solved by optimization. Common optimization methods require specification of a superst ...

2016

A simulation-based optimization framework for urban transportation problems

Michel Bierlaire, Carolina Osorio Pizano

This paper proposes a simulation-based optimization (SO) method that enables the efficient use of complex stochastic urban traffic simulators to address various transportation problems. It presents a metamodel that integrates information from a simulator w ...

Informs2013

Comparison of Frameworks for Analyzing Social-ecological Systems

Claudia Rebeca Binder Signer

In this paper we compare 10 established frameworks for analyzing social-ecological systems. We limited ourselves to frameworks that were explicitly designed to be used by a wider community of researchers and practitioners. Although all these frameworks see ...

Resilience Alliance2013

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