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Stochastic bilevel optimization finds widespread applications in machine learning, including meta-learning, hyperparameter optimization, and neural architecture search. To extend stochastic bilevel optimization to distributed data, several…

Machine Learning · Computer Science 2026-05-26 Yihan Zhang , My T. Thai , Jie Wu , Hongchang Gao

The paper presents a new method for shape and topology optimization based on an efficient and scalable boundary integral formulation for elasticity. To optimize topology, our approach uses iterative extraction of isosurfaces of a…

Optimization and Control · Mathematics 2016-12-14 Igor Ostanin , Ivan Tsybulin , Mikhail Litsarev , Ivan Oseledets , Denis Zorin

Numerical homogenization of multiscale equations typically requires taking an average of the solution to a microscale problem. Both the boundary conditions and domain size of the microscale problem play an important role in the accuracy of…

Numerical Analysis · Mathematics 2024-04-03 Sean P. Carney , Milica Dussinger , Bjorn Engquist

This paper proposes a novel collocation-type numerical stochastic homogenization method for prototypical stochastic homogenization problems with random coefficient fields of small correlation lengths. The presented method is based on a…

Numerical Analysis · Mathematics 2024-11-05 Moritz Hauck , Hannah Mohr , Daniel Peterseim

Acoustic wave propagation through a homogeneous material embedded in an unbounded medium can be formulated as a boundary integral equation and accurately solved with the boundary element method. The computational efficiency deteriorates at…

Numerical Analysis · Mathematics 2024-02-21 Elwin van 't Wout

Tunable metasurfaces are ultra-thin, artificial electromagnetic components that provide engineered and externally adjustable functionalities. The programmable metasurface, the HyperSurFace, concept consists in integrating controllers within…

This work presents a combined numerical and experimental approach to characterize the macroscopic transport and acoustic behavior of foam materials with a membrane cellular structure. A direct link between the sound absorption behavior of a…

Applied Physics · Physics 2017-12-12 Van Hai Trinh , Camille Perrot , Vincent Langlois , Olivier Pitois , Yacine Khidas

The objective of this paper is to introduce and demonstrate a robust methodology for solving multi-constrained 3D topology optimization problems. The proposed methodology is a combination of the topological level-set formulation, augmented…

Computational Engineering, Finance, and Science · Computer Science 2022-03-31 Shiguang Deng , Suresh Krishnan

As a two-dimensional planar material with low depth profile, a metasurface can generate non-classical phase distributions for the transmitted and reflected electromagnetic waves at its interface. Thus, it offers more flexibility to control…

Optical geometric-phase metasurface provides a robust and efficient means for light control by simply manipulating the spatial orientations of the in-plane anisotropic meta-atoms, where polarization conversion plays a vital role. However,…

Classical Physics · Physics 2022-06-08 Bingyi Liu , Qunshuo Wei , Zhaoxian Su , Yongtian Wang , Lingling Huang

The general approach in metasurface design is to find the unit-cell properties required to achieve a given functionality. This is usually done by modeling the metasurface as a combination of surface electric and magnetic polarization…

Optics · Physics 2025-08-22 Francisco S. Cuesta , Karim Achouri

A surrogate-based topology optimisation algorithm for linear elastic structures under parametric loads and boundary conditions is proposed. Instead of learning the parametric solution of the state (and adjoint) problems or the optimisation…

Numerical Analysis · Mathematics 2025-11-04 Matteo Giacomini , Antonio Huerta

Topology optimization is a widely used design method that produces optimized material distributions for prescribed objectives and constraints through well-established numerical algorithms. Throughout the workflow, engineers make a series of…

Multiagent Systems · Computer Science 2026-05-25 Hyunjee Park , Hayoung Chung

The classical level set method, which represents the boundary of the unknown geometry as the zero-level set of a function, has been shown to be very effective in solving shape optimization problems. The present work addresses the issue of…

Optimization and Control · Mathematics 2025-10-20 Oleg Alexandrov , Fadil Santosa

During design optimization, a smooth description of the geometry is important, especially for problems that are sensitive to the way interfaces are resolved, e.g., wave propagation or fluid-structure interaction. A levelset description of…

Computational Engineering, Finance, and Science · Computer Science 2021-12-28 Sanne J. van den Boom , Jian Zhang , Fred van Keulen , Alejandro M. Aragón

We present the generalization of our FEM-based topology optimization framework to 3D blazed metasurfaces operating in reflection over the visible and near-infrared range [400-1,500]nm. The design region is described through a density-based…

Computational Physics · Physics 2026-03-17 Simon Ans , Frédéric Zamkotsian , Guillaume Demésy

In this paper, we present a general derivation of multicontinuum equations and discuss cell problems. We present constraint cell problem formulations in a representative volume element and oversampling techniques that allow reducing…

Numerical Analysis · Mathematics 2022-12-28 Yalchin Efendiev , Wing Tat Leung

This paper addresses coordinated downlink beamforming optimization in multicell time-division duplex (TDD) systems where a small number of parameters are exchanged between cells but with no data sharing. With the goal to reach the point on…

Information Theory · Computer Science 2016-11-17 Yongming Huang , Gan Zheng , Mats Bengtsson , Kai-Kit Wong , Luxi Yang , Bjorn Ottersten

The present work proposes an extension of the third medium contact method for solving structural topology optimization problems that involve and exploit self-contact. A new regularization of the void region, which acts as the contact…

Computational Engineering, Finance, and Science · Computer Science 2021-03-15 Gore Lukas Bluhm , Ole Sigmund , Konstantinos Poulios

Utilizing discrete phase distribution to fit continuous phase distribution has been a primary routine for designing metasurfaces. In the existing method, the validation of the discrete designs is guaranteed only by using the sub-wavelength…

Optics · Physics 2017-11-09 Wenwei Liu , Zhancheng Li , Hua Cheng , Shuqi Chen , Jianguo Tian