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The main objective of this work is to describe a general and original approach for computing an off-line solution for a set of parameters describing the geometry of the domain. That is, a solution able to include information for different…

Numerical Analysis · Mathematics 2019-09-26 Ruben Sevilla , Sergio Zlotnik , Antonio Huerta

Computing pseudospectra of non-normal matrices is essential for understanding the stability and transient behavior of dynamical systems. Such analysis is critical in applications including fluid dynamics, control systems, and differential…

Numerical Analysis · Mathematics 2026-05-07 Amit Punia , Rakesh Kumar , Madan Lal

While trade-offs between modeling effort and model accuracy remain a major concern with system identification, resorting to data-driven methods often leads to a complete disregard for physical plausibility. To address this issue, we propose…

Systems and Control · Electrical Eng. & Systems 2022-08-23 Oliver Schön , Ricarda-Samantha Götte , Julia Timmermann

Overparameterized shallow neural networks admit substantial parameter redundancy: distinct parameter vectors may represent the same predictor due to hidden-unit permutations, rescalings, and related symmetries. As a result, geometric…

Machine Learning · Computer Science 2026-03-24 Hang-Cheng Dong , Pengcheng Cheng

Recent years have witnessed significant progress in the field of neural surface reconstruction. While the extensive focus was put on volumetric and implicit approaches, a number of works have shown that explicit graphics primitives such as…

Computer Vision and Pattern Recognition · Computer Science 2023-04-07 Sergey Prokudin , Qianli Ma , Maxime Raafat , Julien Valentin , Siyu Tang

Accurate 3D shape representation is essential in engineering applications such as design, optimization, and simulation. In practice, engineering workflows require structured, part-based representations, as objects are inherently designed as…

Computer Vision and Pattern Recognition · Computer Science 2025-10-21 Nicolas Talabot , Olivier Clerc , Arda Cinar Demirtas , Alexis Goujon , Hieu Le , Doruk Oner , Pascal Fua

Multiply connected freeform surface features are widely encountered in industrial components, where toolpath generation often suffers from discontinuities, sharp turns, non-uniform scallop heights, and incomplete boundary coverage. This…

Robotics · Computer Science 2026-04-27 Shen Changqing , Xu Bingzhou , Qi Bosong , Zhang Xiaojian , Yan Sijie , Ding Han

In traditional topology optimization, the computing time required to iteratively update the material distribution within a design domain strongly depends on the complexity or size of the problem, limiting its application in real engineering…

Computational Engineering, Finance, and Science · Computer Science 2024-05-14 Gabriel Garayalde , Matteo Torzoni , Matteo Bruggi , Alberto Corigliano

Previous path guiding techniques typically rely on spatial subdivision structures to approximate directional target distributions, which may cause failure to capture spatio-directional correlations and introduce parallax issue. In this…

Graphics · Computer Science 2025-04-14 Honghao Dong , Guoping Wang , Sheng Li

Model predictive control (MPC) for linear systems with quadratic costs and linear constraints is shown to admit an exact representation as an implicit neural network. A method to "unravel" the implicit neural network of MPC into an explicit…

Systems and Control · Electrical Eng. & Systems 2024-04-19 Ross Drummond , Pablo R Baldivieso-Monasterios , Giorgio Valmorbida

High-dimensional spatio-temporal dynamics can often be encoded in a low-dimensional subspace. Engineering applications for modeling, characterization, design, and control of such large-scale systems often rely on dimensionality reduction to…

Machine Learning · Computer Science 2023-01-05 Shaowu Pan , Steven L. Brunton , J. Nathan Kutz

Representing visual signals with implicit coordinate-based neural networks, as an effective replacement of the traditional discrete signal representation, has gained considerable popularity in computer vision and graphics. In contrast to…

Computer Vision and Pattern Recognition · Computer Science 2023-04-26 Xin Huang , Qi Zhang , Ying Feng , Hongdong Li , Qing Wang

High-dimensional manipulator operation in unstructured environments requires a differentiable, scene-agnostic distance query mechanism to guide safe motion generation. Existing geometric collision checkers are typically non-differentiable,…

Robotics · Computer Science 2026-03-20 Haohua Chen , Yixuan Zhou , Yifan Zhou , Hesheng Wang

This paper proposes a deep neural network approach for predicting multiphase flow in heterogeneous domains with high computational efficiency. The deep neural network model is able to handle permeability heterogeneity in high dimensional…

Machine Learning · Computer Science 2021-03-15 Gege Wen , Meng Tang , Sally M. Benson

Mechanical metamaterials enable precise control over structural properties, but their design method remains challenging due to their complex structure. Although additive manufacturing has expanded geometric freedom, navigating this vast and…

Soft Condensed Matter · Physics 2025-09-18 Kijung Kim , Seungwook Hong , Wonjun Jung , Wooseok Kim , Namjung Kim , Howon Lee

The latest sheet stamping processes enable efficient manufacturing of complex shape structural components that have high stiffness to weight ratios, but these processes can introduce defects. To assist component design for stamping…

Machine Learning · Computer Science 2022-02-09 Hamid Reza Attar , Alistair Foster , Nan Li

Implicit fields have recently shown increasing success in representing and learning 3D shapes accurately. Signed distance fields and occupancy fields are decades old and still the preferred representations, both with well-studied…

Computer Vision and Pattern Recognition · Computer Science 2023-04-10 Edoardo Mello Rella , Ajad Chhatkuli , Ender Konukoglu , Luc Van Gool

Recent learning approaches that implicitly represent surface geometry using coordinate-based neural representations have shown impressive results in the problem of multi-view 3D reconstruction. The effectiveness of these techniques is,…

Computer Vision and Pattern Recognition · Computer Science 2021-07-28 Eduard Ramon , Gil Triginer , Janna Escur , Albert Pumarola , Jaime Garcia , Xavier Giro-i-Nieto , Francesc Moreno-Noguer

Path planning for high-speed unmanned surface vehicles requires more complex solutions to reduce sailing time and save energy. This article proposes a new predictive artificial potential field that incorporates time information and…

Robotics · Computer Science 2026-02-24 Jia Song , Ce Hao , Jiangcheng Su

Mesh processing pipelines are mature, but adapting them to newer non-mesh surface representations -- which enable fast rendering with compact file size -- requires costly meshing or transmitting bulky meshes, negating their core benefits…

Graphics · Computer Science 2025-08-19 Yuta Noma , Zhecheng Wang , Chenxi Liu , Karan Singh , Alec Jacobson