Concept
Level set
Related publications (37)
The statistical complexity of early-stopped mirror descent
Tomas Vaskevicius, Varun Kanade
Recently there has been a surge of interest in understanding implicit regularization properties of iterative gradient-based optimization algorithms. In this paper, we study the statistical guarantees on the excess risk achieved by early-stopped unconstrain ...
Oxford2023Level-set-based Shape Optimization on Soft Magnetic Composites with Isotropy Constraint
Yves Perriard, Adrien Jean-Michel Thabuis, Xiaotao Ren
Soft Magnetic Composites (SMCs) demonstrate excellent potentials for electromagnetic applications. The isotropy is one critical feature in designing the composite. This work presents a shape optimization algorithm for SMCs subject to isotropy and volume co ...
2022Differentiable Signed Distance Function Rendering
Wenzel Alban Jakob, Delio Aleardo Vicini, Sébastien Nicolas Speierer
Physically-based differentiable rendering has recently emerged as an attractive new technique for solving inverse problems that recover complete 3D scene representations from images. The inversion of shape parameters is of particular interest but also pose ...
ASSOC COMPUTING MACHINERY2022Neural Set Function Extensions: Learning with Discrete Functions in High Dimensions
Andreas Loukas, Nikolaos Karalias
Integrating functions on discrete domains into neural networks is key to developing their capability to reason about discrete objects. But, discrete domains are (I) not naturally amenable to gradient-based optimization, and (II) incompatible with deep lear ...
2022Topology Optimization for Coils of Electric Machine with Level-set Method
Yves Perriard, Adrien Jean-Michel Thabuis, Xiaotao Ren
This work studies the level-set based topology optimization for the optimal layout of winding in electric motor. The functional to optimize is to maximize the torque in the air-gap. The coil domain is initiated by a level set function. The time evolutionar ...
IEEE2019On 2-Level Polytopes Arising In Combinatorial Settings
Yuri Faenza, Manuel Francesco Aprile, Alfonso Bolívar Cevallos Manzano
2-level polytopes naturally appear in several areas of pure and applied mathematics, including combinatorial optimization, polyhedral combinatorics, communication complexity, and statistics. In this paper, we present a study of some 2-level polytopes arisi ...
SIAM PUBLICATIONS2018A patient-specific aortic valve model based on moving resistive immersed implicit surfaces
Alfio Quarteroni, Elena Faggiano, Marco Fedele
In this paper, we propose a full computational framework to simulate the hemodynamics in the aorta including the valve. Closed and open valve surfaces, as well as the lumen aorta, are reconstructed directly from medical images using new ad hoc algorithms, ...
Springer Heidelberg2017Multi-objective optimization of utility systems and heat exchanger networks: method and application to the solar assisted hydrothermal gasification case
François Maréchal, Adriano Viana Ensinas, Alberto Mian, Emanuele Martelli
This work presents a novel framework for the multi-objective synthesis of utility systems and Heat Exchanger Networks (HEN) under single or multi-period operations. In order to solve the resulting Mixed Integer Non Linear (MINLP) programming problem, a bi- ...
Elsevier Science Bv2017A multi-agent based analytical approach for service restoration in distribution networks
With the advent of smart grids and the higher level of requirement for the quality of supply, restoration of distribution networks is a timely topic that deserves to be revisited. In this paper, the concept of multi-agent automation in smart grids is appli ...
IEEE2017MATHICSE Technical Report : A patient-specific aortic valve model based on moving resistive immersed implicit surfaces
Alfio Quarteroni, Luca Dede', Elena Faggiano, Marco Fedele
In this paper, we propose a full computational pipeline to simulate the hemodynamics in the aorta including the valve. Closed and open valve surfaces, as well as the lumen aorta, are reconstructed directly from medical images using new ad hoc algorithms, a ...
MATHICSE2016