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We present a method to match three dimensional shapes under non-isometric deformations, topology changes and partiality. We formulate the problem as matching between a set of pair-wise and point-wise descriptors, imposing a continuity prior…

We present HyperMorph, a learning-based strategy for deformable image registration that removes the need to tune important registration hyperparameters during training. Classical registration methods solve an optimization problem to find a…

计算机视觉与模式识别 · 计算机科学 2021-05-06 Andrew Hoopes , Malte Hoffmann , Bruce Fischl , John Guttag , Adrian V. Dalca

A physics-informed machine learning framework based on holomorphic neural networks is introduced for detecting cracks in two-dimensional solids from strain or displacement data. Crack detection is formulated as an inverse problem in which…

计算工程、金融与科学 · 计算机科学 2026-03-16 Jonas Hund , Nicolas Cuenca , Tito Andriollo

Deploying federated learning at the wireless edge introduces federated edge learning (FEEL). Given FEEL's limited communication resources and potential mislabeled data on devices, improper resource allocation or data selection can hurt…

机器学习 · 计算机科学 2024-07-04 Yunjian Jia , Zhen Huang , Jiping Yan , Yulu Zhang , Kun Luo , Wanli Wen

Optical metasurfaces are planar arrangements of subwavelength meta-atoms that implement a wide range of transformations on incident light. The design of efficient metasurfaces requires that the responses of and interactions among meta-atoms…

光学 · 物理学 2021-01-19 Mahdad Mansouree , Andrew McClung , Sarath Samudrala , Amir Arbabi

We formulate the problem of material identification as a problem of optimal control in which the deformation of the specimen is the state variable and the unknown material law is the control variable. We assume that the material obeys…

泛函分析 · 数学 2025-01-07 Sergio Conti , Michael Ortiz

Image registration is a process of aligning two or more images of same objects using geometric transformation. Most of the existing approaches work on the assumption of location invariance. These approaches require object-centric images to…

计算机视觉与模式识别 · 计算机科学 2019-01-14 Deepak Mishra , Rajeev Ranjan , Santanu Chaudhury , Mukul Sarkar , Arvinder Singh Soin

Current approaches for deformable medical image registration often struggle to fulfill all of the following criteria: versatile applicability, small computation or training times, and the being able to estimate large deformations.…

图像与视频处理 · 电气工程与系统科学 2021-12-07 Hanna Siebert , Lasse Hansen , Mattias P. Heinrich

We present a global optimizer, based on a conditional generative neural network, which can output ensembles of highly efficient topology-optimized metasurfaces operating across a range of parameters. A key feature of the network is that it…

机器学习 · 计算机科学 2019-07-18 Jiaqi Jiang , Jonathan A. Fan

This study introduces a surrogate modeling framework merging proper orthogonal decomposition, long short-term memory networks, and multi-task learning, to accurately predict elastoplastic deformations in real-time. Superior to single-task…

计算工程、金融与科学 · 计算机科学 2024-11-11 Ruben Schmeitz , Joris Remmers , Olga Mula , Olaf van der Sluis

One difficulty in developing numerical methods for hyperbolic systems of conservation laws is the fact that solutions often contain regions where much higher resolution is required than elsewhere in the domain, particularly since the…

数值分析 · 数学 2015-11-12 Brisa N. Davis , Randall J. LeVeque

This paper develops a framework connecting discrete adjoint gradient-error analysis with an optimization method that uses directional error tolerances, and applies it to airfoil shape optimization governed by a conservative full-potential…

最优化与控制 · 数学 2026-05-19 Humberto Gimenes Macedo , Luís Felipe Bueno

The computation of the elastic shape registration of two simple surfaces in 3-dimensional space and therefore of the elastic shape distance between them has been investigated by Kurtek, Jermyn, et al. who have proposed algorithms to carry…

微分几何 · 数学 2024-09-27 Javier Bernal , Jim Lawrence

We present the Neural Approximated Virtual Element Method to numerically solve elasticity problems. This hybrid technique combines classical concepts from the Finite Element Method and the Virtual Element Method with recent advances in deep…

数值分析 · 数学 2025-07-09 Stefano Berrone , Moreno Pintore , Gioana Teora

Underactuated systems like sea vessels have degrees of motion that are insufficiently matched by a set of independent actuation forces. In addition, the underlying trajectory-tracking control problems grow in complexity in order to decide…

系统与控制 · 电气工程与系统科学 2021-04-02 Mohammed Abouheaf , Wail Gueaieb , Md. Suruz Miah , Davide Spinello

Data assimilation is the process of fusing information from imperfect computer simulations with noisy, sparse measurements of reality to obtain improved estimates of the state or parameters of a dynamical system of interest. The data…

Dynamic optimization is currently limited by sensitivity computations that require information from full forward and adjoint wave fields. Since the forward and adjoint solutions are computed in opposing time directions, the forward solution…

计算工程、金融与科学 · 计算机科学 2025-09-22 Leon Herrmann , Tim Bürchner , László Kudela , Stefan Kollmannsberger

Joint space trajectory optimization under end-effector task constraints leads to a challenging non-convex problem. Thus, a real-time adaptation of prior computed trajectories to perturbation in task constraints often becomes intractable.…

A primary interest in dynamic inverse problems is to identify the underlying temporal behaviour of the system from outside measurements. In this work we consider the case, where the target can be represented by a decomposition of spatial…

数值分析 · 数学 2020-06-09 Simon Arridge , Pascal Fernsel , Andreas Hauptmann

Adjoint method is widely used in aerodynamic design because only once solution of flow field is required for adjoint method to obtain the gradients of all design variables. However, the calculation cost of adjoint vector is approximately…

流体动力学 · 物理学 2021-01-01 Mengfei Xu , Shufang Song , Xuxiang Sun , Wengang Chen , Weiwei Zhang