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In the recent decade, computational tools have become central in material design, allowing rapid development cycles at reduced costs. Machine learning tools are especially on the rise in photonics. However, the inversion of the Maxwell…

This paper describes an inverse shape design method for thermoelastic bodies. With a known equilibrium shape as input, the focus of this paper is the determination of the corresponding initial shape of a body undergoing thermal expansion or…

Numerical Analysis · Mathematics 2019-08-26 Florian Zwicke , Stefanie Elgeti

This paper addresses a difficult inverse problem that involves the reconstruction of a three-dimensional model of tetrahedral amorphous semiconductors via inversion of diffraction data. By posing the material-structure determination as a…

Disordered Systems and Neural Networks · Physics 2019-12-06 Dil K. Limbu , Stephen R. Elliott , Raymond Atta-Fynn , Parthapratim Biswas

A long-standing challenge is designing multi-scale structures with good connectivity between cells while optimizing each cell to reach close to the theoretical performance limit. We propose a new method for direct multi-scale topology…

Neural and Evolutionary Computing · Computer Science 2025-02-21 Hongrui Chen , Xingchen Liu , Levent Burak Kara

Conventional inverse optimization inputs a solution and finds the parameters of an optimization model that render a given solution optimal. The literature mostly focuses on inferring the objective function in linear problems when accepted…

Optimization and Control · Mathematics 2024-10-10 Houra Mahmoudzadeh , Kimia Ghobadi

Amorphous (disordered) materials are solids that have shown great potential in various domains, including energy storage, thermal management, and advanced materials. Unlike crystalline materials that can be described by unit cells…

Machine Learning · Computer Science 2026-05-01 Yan Lin , Jilin Hu , N. M. Anoop Krishnan , Morten M. Smedskjaer

3D-printed digital materials whose mechanical behavior travels between those from thermoplastic to rubbery polymers have become increasingly important. However, their mechanical functionalities have not been fully exploited due to intrinsic…

Soft Condensed Matter · Physics 2026-03-18 Seunghwan Lee , Gisoo Lee , Seounghee Yun , Sumin Lee , Jeonyoon Lee , Hansohl Cho

Determining a process-structure-property relationship is the holy grail of materials science, where both computational prediction in the forward direction and materials design in the inverse direction are essential. Problems in materials…

Computational Engineering, Finance, and Science · Computer Science 2020-04-28 Anh Tran , John A. Mitchell , Laura P. Swiler , Tim Wildey

Heterogeneous materials, crucial in various engineering applications, exhibit complex multiscale behavior, which challenges the effectiveness of traditional computational methods. In this work, we introduce the Micromechanics Transformer…

Computational Engineering, Finance, and Science · Computer Science 2024-10-10 Sifan Wang , Tong-Rui Liu , Shyam Sankaran , Paris Perdikaris

Honeycomb-like microstructures have been shown to exhibit local elastic buckling under compression, with three possible geometric buckling modes, or pattern transformations. The individual pattern transformations, and consequently also…

Soft Condensed Matter · Physics 2020-04-14 O. Rokoš , M. M. Ameen , R. H. J. Peerlings , M. G. D. Geers

Precise spatial manipulation of particles via optical forces is essential in many research areas, ranging from biophysics to atomic physics. Central to this effort is the challenge of designing optical systems that are optimized for…

Fluorescence microscopy images usually show severe anisotropy in axial versus lateral resolution. This hampers downstream processing, i.e. the automatic extraction of quantitative biological data. While deconvolution methods and other…

Computer Vision and Pattern Recognition · Computer Science 2017-04-06 Martin Weigert , Loic Royer , Florian Jug , Gene Myers

The inverse design approach in magnonics exploits the wave nature of magnons and machine learning to develop logical devices with functionalities that exceed the capabilities of analytical methods. While promising for analog, Boolean, and…

Other Condensed Matter · Physics 2025-05-26 Andrey A. Voronov , Marcos Cuervo Santos , Florian Bruckner , Dieter Suess , Andrii V. Chumak , Claas Abert

A reduced order asymptotic homogenization based multiscale technique which can capture damage and inelastic effects in composite materials is proposed. This technique is based on two scale homogenization procedure where eigen strain…

Computational Engineering, Finance, and Science · Computer Science 2025-09-29 Harpreet Singh , Puneet Mahajan

The rational design of novel polymers with tailored material properties has been a long-standing challenge in the field due to the large number of possible polymer design variables. To accelerate this design process, there is a critical…

Soft Condensed Matter · Physics 2025-04-11 Vinson Liao , Arthi Jayaraman

Advancements in deep learning and machine learning have improved the ability to model complex, nonlinear relationships, such as those encountered in complex material inverse problems. However, the effectiveness of these methods often…

Machine Learning · Computer Science 2025-04-10 Qinyi Tian , Winston Lindqwister , Manolis Veveakis , Laura E. Dalton

Harnessing the rich nonlinear dynamics of highly-deformable materials has the potential to unlock the next generation of functional smart materials and devices. However, unlocking such potential requires effective strategies to spatially…

Inverse problems in imaging are typically ill-posed and are usually solved by employing regularized optimization techniques. The usage of appropriate constraints can restrict the solution space, thus making it feasible for a reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2025-11-14 Jasleen Birdi , Tamal Majumder , Debanjan Halder , Muskan Kularia , Kedar Khare

Inverse design in nanophotonics, the computational discovery of structures achieving targeted electromagnetic (EM) responses, has become a key tool for recent optical advances. Traditional intuition-driven or iterative optimization methods…

Applied Physics · Physics 2025-10-15 Reza Marzban , Ali Adibi , Raphael Pestourie

With the achievement on the additive manufacturing, the mechanical properties of architectured materials can be precisely designed by tailoring microstructures. As one of the primary design objectives, the elastic isotropy is of great…

Applied Physics · Physics 2021-04-15 Anran Wei , Jie Xiong , Weidong Yang , Fenglin Guo
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