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The Shifted Boundary Method (SBM) trades some part of the burden of body-fitted meshing for increased algebraic complexity. While the resulting linear systems retain the standard $\mathcal{O}(h^{-2})$ conditioning of second-order operators,…

Numerical Analysis · Mathematics 2026-01-16 Michał Wichrowski , Ajay Ajith

Constrained clustering leverages limited domain knowledge to improve clustering performance and interpretability, but incorporating pairwise must-link and cannot-link constraints is an NP-hard challenge, making global optimization…

Machine Learning · Computer Science 2025-10-28 Pedro Chumpitaz-Flores , My Duong , Cristobal Heredia , Kaixun Hua

Grain growth simulation is crucial for predicting metallic material microstructure evolution during annealing and resulting final mechanical properties, but traditional partial differential equation-based methods are computationally…

Materials Science · Physics 2025-05-09 Pungponhavoan Tep , Marc Bernacki

Meshless methods are used to solve partial differential equations by approximating differential operators at a node as a weighted sum of values at its neighbours. One of the algorithms for generating nodes suitable for meshless numerical…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-11 Jon Vehovar , Miha Rot , Matjaž Depolli , Gregor Kosec

Engineering complex systems (aircraft, buildings, vehicles) requires coordinating geometric and performance couplings across subsystems. As generative models proliferate for specialized domains, a key research gap is how to coordinate…

Computational Engineering, Finance, and Science · Computer Science 2026-04-08 Tim Aebersold , Soheyl Massoudi , Mark D. Fuge

Point cloud alignment is a common problem in computer vision and robotics, with applications ranging from 3D object recognition to reconstruction. We propose a novel approach to the alignment problem that utilizes Bayesian nonparametrics to…

Computer Vision and Pattern Recognition · Computer Science 2016-11-23 Julian Straub , Trevor Campbell , Jonathan P. How , John W. Fisher

Grain boundaries (GBs) can critically influence the microstructural evolution and various materials properties. However, a fundamental understanding of GBs in high-entropy alloys (HEAs) is lacking because of the complex couplings of the…

Materials Science · Physics 2021-04-13 Chongze Hu , Jian Luo

We propose conformal generative modeling, a framework for generative modeling on 2D surfaces approximated by discrete triangle meshes. Our approach leverages advances in discrete conformal geometry to develop a map from a source triangle…

Machine Learning · Computer Science 2023-03-21 Victor Dorobantu , Charlotte Borcherds , Yisong Yue

Sampling equilibrium molecular configurations from the Boltzmann distribution is a longstanding challenge. Boltzmann Generators (BGs) address this by combining exact-likelihood generative models with importance sampling, but practical…

Machine Learning · Computer Science 2026-05-29 Weilong Chen , Bojun Zhao , Jan Eckwert , Julija Zavadlav

Constrained generative modeling is fundamental to applications such as robotic control and autonomous driving, where models must respect physical laws and safety-critical constraints. In real-world settings, these constraints rarely take…

Machine Learning · Computer Science 2026-03-10 Xiaoxuan Liang , Saeid Naderiparizi , Yunpeng Liu , Berend Zwartsenberg , Frank Wood

Mixture model-based frameworks are very popular for statistical inference in clustering. While convenient for producing probabilistic estimates of cluster assignments and uncertainty, they are prone to misspecification, which can lead to…

Statistics Theory · Mathematics 2026-05-15 Yu Zheng , Leo L. Duan , Arkaprava Roy

Solute decoration at grain boundaries (GB) leads to a number of phenomenon such as changes in interface structure,mobility,cohesion etc.Recent experimental investigations on interfacial segregation in steels are based on microstructural…

Materials Science · Physics 2022-03-01 Mainak Saha

We study the Grain Boundary (GB) migration based on the underlying disconnection structure and mechanism. Disconnections are line defects that lie solely within a GB and are characterized by both a Burgers vector and a step height, as set…

Materials Science · Physics 2019-10-23 Chaozhen Wei , Spencer L. Thomas , Jian Han , David J. Srolovitz , Yang Xiang

The topological transitions that occur to the grain boundary network during grain growth in a material with uniform grain boundary energies are believed to be known. The same is not true for more realistic materials, since more general…

Materials Science · Physics 2021-10-29 Erdem Eren , Jeremy K. Mason

This paper studies how solute segregation and its relationship to grain boundary energy in binary alloys is captured in the phase field crystal (PFC) formalism, a continuum method that incorporates atomic scale elasto-plastic effects on…

Materials Science · Physics 2013-04-10 Jonathan Stolle , Nikolas Provatas

Objectives. We generate via advanced Deep Learning (DL) techniques artificial leaf images in an automatized way. We aim to dispose of a source of training samples for AI applications for modern crop management. Such applications require…

Computer Vision and Pattern Recognition · Computer Science 2023-01-11 Alessandro Benfenati , Davide Bolzi , Paola Causin , Roberto Oberti

Grain boundaries (GB) profoundly influence the electrical properties of polycrystalline ionic solids. Yet, precise control of their transport characteristics has remained elusive, thereby limiting the performance of solid-state…

Spatial transcriptomics (ST) has emerged as an advanced technology that provides spatial context to gene expression. Recently, deep learning-based methods have shown the capability to predict gene expression from WSI data using ST data.…

Machine Learning · Computer Science 2024-12-10 Mingcheng Qu , Yuncong Wu , Donglin Di , Anyang Su , Tonghua Su , Yang Song , Lei Fan

Grain boundary (GB) migration plays a crucial role in the thermal and mechanical responses of polycrystalline materials, particularly in ultrafine-grained and nano-grained materials exhibiting grain size-dependent properties. This study…

Materials Science · Physics 2024-04-08 Liang Yang , Xinyuan Song , Tingting Yu , Dahai Liu , Chuang Deng

Grain boundaries (GBs) are ubiquitous defects in crystalline materials. However, they remain less explored in block copolymer ordered phases. Here, we develop a self-consistent field theory framework to investigate GB structure and…

Soft Condensed Matter · Physics 2026-05-27 Jing Chen , Aiping Zhu , Dan Wei , An-Chang Shi , Kai Jiang