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We consider optimization problems involving the multiplication of variable matrices to be selected from a given family, which might be a discrete set, a continuous set or a combination of both. Such nonlinear, and possibly discrete,…

Optimization and Control · Mathematics 2021-03-12 Burak Kocuk

Nowadays hybrid evolutionary algorithms, i.e, heuristic search algorithms combining several mutation operators some of which are meant to implement stochastically a well known technique designed for the specific problem in question while…

Neural and Evolutionary Computing · Computer Science 2014-04-23 Boris Mitavskiy , Jun He

Topology optimization is concerned with the identification of optimal shapes of deformable bodies with respect to given target functionals. The focus of this paper is on a topology optimization problem for a time-evolving elastoplastic…

Analysis of PDEs · Mathematics 2021-06-21 Stefano Almi , Ulisse Stefanelli

With the emergence of new photonic and plasmonic materials with optimized properties as well as advanced nanofabrication techniques, nanophotonic devices are now capable of providing solutions to global challenges in energy conversion,…

There is evidence that the self-assembly of complex molecular systems often proceeds hierarchically, by first building subunits that later assemble in larger entities, in a process that can repeat multiple times. Yet, our understanding of…

Soft Condensed Matter · Physics 2025-09-15 Miranda Holmes-Cerfon , Matthieu Wyart

This work introduces a novel, fully robust and highly-scalable, $h$-adaptive aggregated unfitted finite element method for large-scale interface elliptic problems. The new method is based on a recent distributed-memory implementation of the…

Numerical Analysis · Mathematics 2021-04-07 Eric Neiva , Santiago Badia

We demonstrate a novel route of spatially organizing the colloid arrangements on the polymer-grafted substrate by use of self-consistent field and density functional theories. We find that grafting of polymers onto a substrate can…

Soft Condensed Matter · Physics 2007-05-23 Kang Chen , Yu-qiang Ma

Mixing is an omnipresent process in a wide-range of industrial applications, which supports scientific efforts to devise techniques for optimising mixing processes under time and energy constraints. In this endeavor, we present a…

Fluid Dynamics · Physics 2020-06-15 Maximilian F. Eggl , Peter J. Schmid

We design a system with a binary suspension of colloids and a surface that triggers the self-assembly of crystallites with a finite thickness. The proposed design allows controlling the number of layers forming the aggregate and constrains…

Soft Condensed Matter · Physics 2026-05-05 Akshaya Kumar Jena , Aashima Aashima , Pritam Kumar Jana , Bortolo Matteo Mognetti

The simulated self-assembly of molecular building blocks into functional complexes is a key area of study in computational biology and materials science. Self-assembly simulations of proteins using physically-motivated potentials for…

Soft Condensed Matter · Physics 2025-09-03 Ivan Spirandelli , Arnur Nigmetov , Dmitriy Morozov , Myfanwy E. Evans

In this paper we study a new model for patterns in two dimensions, inspired by diblock copolymer melts with a dominant phase. The model is simple enough to be amenable not only to numerics but also to analysis, yet sophisticated enough to…

Analysis of PDEs · Mathematics 2013-12-06 D. P. Bourne , M. A. Peletier , S. M. Roper

Peptide self-assembly prediction offers a powerful bottom-up strategy for designing biocompatible, low-toxicity materials for large-scale synthesis in a broad range of biomedical and energy applications. However, screening the vast sequence…

Biomolecules · Quantitative Biology 2026-04-23 Nuno Costa , Julija Zavadlav

In this study, we propose an improvement to the direct mating method, a constraint handling approach for multi-objective evolutionary algorithms, by hybridizing it with local mating. Local mating selects another parent from the feasible…

Neural and Evolutionary Computing · Computer Science 2023-07-26 Masahiro Kanazaki , Takeharu Toyoda

The algorithmic self-assembly of shapes has been considered in several models of self-assembly. For the problem of \emph{shape construction}, we consider an extended version of the Two-Handed Tile Assembly Model (2HAM), which contains…

Computational Geometry · Computer Science 2016-08-18 Austin Luchsinger , Robert Schweller , Tim Wylie

Recently, it has been proven that evolutionary algorithms produce good results for a wide range of combinatorial optimization problems. Some of the considered problems are tackled by evolutionary algorithms that use a representation which…

Neural and Evolutionary Computing · Computer Science 2013-01-18 Benjamin Doerr , Anton Eremeev , Frank Neumann , Madeleine Theile , Christian Thyssen

Optimally selecting a subset of targets from a larger catalog is a common problem in astronomy and cosmology. A specific example is the selection of targets from an imaging survey for multi-object spectrographic follow-up. We present a new…

Astrophysics · Physics 2009-11-11 E. C. Elson , B. A. Bassett , K. van der Heyden , Z. Z. Vilakazi

When thin films are grown on a substrate by chemical vapor deposition, the evolution of the first deposited layers may be described, on mesoscopic scales, by dynamical models of the reaction-diffusion type. For monoatomic layers, such…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Daniel Walgraef

Automatic Chemical Design is a framework for generating novel molecules with optimized properties. The original scheme, featuring Bayesian optimization over the latent space of a variational autoencoder, suffers from the pathology that it…

Machine Learning · Statistics 2019-08-13 Ryan-Rhys Griffiths , José Miguel Hernández-Lobato

Ordered nanoarrays, i.e. regular patterns of quantum structures at the nanometre scale, have recently been synthesized in a wide range of systems. Here I explore a possible route to technological exploitation: assuming a simple form of…

Other Condensed Matter · Physics 2007-05-23 Simon C. Benjamin

The adjoint method allows efficient calculation of the gradient with respect to the design variables of a topology optimization problem. This method is almost exclusively used in combination with traditional Finite-Element-Analysis, whereas…

Computational Engineering, Finance, and Science · Computer Science 2022-06-20 Indre Jödicke , Richard J. Leute , Till Junge , Lars Pastewka
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