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The focus of this article is to develop computationally efficient mathematical morphology operators on hypergraphs. To this aim we consider lattice structures on hypergraphs on which we build morphological operators. We develop a pair of…

Discrete Mathematics · Computer Science 2014-02-19 V. Bino Sebastian , A Unnikrishnan , Kannan Balakrishnan , P. B Ramkumar

Differentiable optics, as an emerging paradigm that jointly optimizes optics and (optional) image processing algorithms, has made innovative optical designs possible across a broad range of applications. Many of these systems utilize…

We consider numerical solution of elliptic problems with heterogeneous diffusion coefficients containing thin highly conductive structures. Such problems arise e.g. in fractured porous media, reinforced materials, and electric circuits. The…

Numerical Analysis · Mathematics 2020-07-22 Fredrik Hellman , Axel Målqvist , Siyang Wang

Complex models used to describe biological processes in epidemiology and ecology often have computationally intractable or expensive likelihoods. This poses significant challenges in terms of Bayesian inference but more significantly in the…

Methodology · Statistics 2019-03-12 Mahasen Dehideniya , Antony M. Overstall , Chris C. Drovandi , James M. McGree

To facilitate rational molecular and materials design, this research proposes an integrated computational framework that combines stochastic simulation, ab initio quantum chemistry, and molecular docking. The suggested workflow allows…

Materials Science · Physics 2026-01-08 Md Rakibul Karim Akanda , Michael P. Richard

During the last decade, additive manufacturing has become increasingly popular for rapid prototyping, but has remained relatively marginal beyond the scope of prototyping when it comes to applications with tight tolerance specifications,…

Logic in Computer Science · Computer Science 2017-05-16 Kévin Garanger , Eric Feron , Pierre-Loïc Garoche , Julian J. Rimoli , John D. Berrigan , Martha Grover , Kerianne Hobbs

Interaction is critical for data analysis and sensemaking. However, designing interactive physicalizations is challenging as it requires cross-disciplinary knowledge in visualization, fabrication, and electronics. Interactive…

Human-Computer Interaction · Computer Science 2023-08-15 S. Sandra Bae , Takanori Fujiwara , Anders Ynnerman , Ellen Yi-Luen Do , Michael L. Rivera , Danielle Albers Szafir

The synthesis of porous, lattice, or microstructure geometries has captured the attention of many researchers in recent years. Implicit forms, such as triply periodic minimal surfaces (TPMS) has captured a significant attention, recently,…

Materials Science · Physics 2024-08-27 Q. Y. Hong , P. Antolin , G. Elber , M. -S. Kim

Modern computing systems are capable of exascale calculations, which are revolutionizing the development and application of high-fidelity numerical models in computational science and engineering. While these systems continue to grow in…

Optimization and Control · Mathematics 2024-10-11 Graham Harper , Denis Ridzal , Tim Wildey

This paper introduces a simple formulation for topology optimization problems ensuring manufacturability by machining. The method distinguishes itself from existing methods by using the advection-diffusion equation with Robin boundary…

Computational Engineering, Finance, and Science · Computer Science 2022-02-16 Lukas Christian Høghøj , Erik Albert Träff

We investigate finite-dimensional constrained structured optimization problems, featuring composite objective functions and set-membership constraints. Offering an expressive yet simple language, this problem class provides a modeling…

Optimization and Control · Mathematics 2023-02-09 Alberto De Marchi , Xiaoxi Jia , Christian Kanzow , Patrick Mehlitz

In this work we propose a novel relationship between topology and damage propagation in Maxwell lattices that redefines fracture as a functional design feature rather than mere degradation. We demonstrate that topologically protected modes,…

Soft Condensed Matter · Physics 2025-03-31 Leo de Waal , Matthaios Chouzouris , Marcelo A. Dias

High-throughput computational materials design promises to greatly accelerate the process of discovering new materials and compounds, and of optimizing their properties. The large databases of structures and properties that result from…

Chemical Physics · Physics 2016-11-22 Sandip De , Felix Musil , Teresa Ingram , Carsten Baldauf , Michele Ceriotti

The analysis of lattice simulation correlation function data is notoriously hindered by the ill-conditioning of the Euclidean time covariance matrix. Additionally, the isolation of a single physical state in such functions is generally…

High Energy Physics - Lattice · Physics 2025-11-26 Antonin Portelli , Justus Tobias Tsang

This work studies shape filtering techniques, namely the convolution-based (explicit) and the PDE-based (implicit), and introduces an implicit bulk-surface filtering method to control the boundary smoothness and preserve the internal mesh…

Numerical Analysis · Mathematics 2022-08-02 Reza Najian Asl , Kai-Uwe Bletzinger

Amorphous solids form an enormous and underutilized class of materials. In order to drive the discovery of new useful amorphous materials further we need to achieve a closer convergence between computational and experimental methods. In…

Disordered Systems and Neural Networks · Physics 2024-11-19 Ata Madanchi , Emna Azek , Karim Zongo , Laurent K. Béland , Normand Mousseau , Lena Simine

We study the problem of approximately transforming a sample from a source statistical model to a sample from a target statistical model without knowing the parameters of the source model, and construct several computationally efficient such…

Statistics Theory · Mathematics 2024-09-19 Mengqi Lou , Guy Bresler , Ashwin Pananjady

We introduce a set of image transformations that can be used as corruptions to evaluate the robustness of models as well as data augmentation mechanisms for training neural networks. The primary distinction of the proposed transformations…

Computer Vision and Pattern Recognition · Computer Science 2022-05-02 Oğuzhan Fatih Kar , Teresa Yeo , Andrei Atanov , Amir Zamir

This paper considers a convolutional neural network transformation that reduces computation complexity and thus speedups neural network processing. Usage of convolutional neural networks (CNN) is the standard approach to image recognition…

Computer Vision and Pattern Recognition · Computer Science 2020-02-19 Elena Limonova , Alexander Sheshkus , Dmitry Nikolaev

Protein design has the potential to revolutionize biotechnology and medicine. While most efforts have focused on proteins with well-defined structures, increased recognition of the functional significance of intrinsically disordered…

Biomolecules · Quantitative Biology 2025-09-17 Giulio Tesei , Francesco Pesce , Kresten Lindorff-Larsen