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Computer-Aided Design (CAD) powers modern engineering, yet producing high-quality parts still demands substantial expert effort. Many AI systems tackle CAD reverse engineering, but most are single-pass and miss fine geometric details. In…

Parametric CAD models, represented as Boundary Representations (B-reps), are foundational to modern design and manufacturing workflows, offering the precision and topological breakdown required for downstream tasks such as analysis,…

Graphics · Computer Science 2025-04-08 James Noeckel , Benjamin Jones , Adriana Schulz , Brian Curless

We develop a practical and novel method for inference on intersection bounds, namely bounds defined by either the infimum or supremum of a parametric or nonparametric function, or equivalently, the value of a linear programming problem with…

Statistics Theory · Mathematics 2013-05-06 Victor Chernozhukov , Sokbae Lee , Adam M. Rosen

Accurately detecting crack boundaries is crucial for reliability assessment and risk management of structures and materials, such as structural health monitoring, diagnostics, prognostics, and maintenance scheduling. Uncertainty…

Computer Vision and Pattern Recognition · Computer Science 2023-06-16 Rahul Rathnakumar , Yutian Pang , Yongming Liu

In the realm of computer-aided design (CAD) software, the intersection of B-spline surfaces stands as a fundamental operation. Despite the extensive history of surface intersection algorithms, the challenge of handling complex intersection…

Computational Geometry · Computer Science 2026-04-15 Chenming Gao , Hongwei Lin , Gengchen Li

Model repair is an essential topic in model-driven engineering. Since models are suitably formalized as graph-like structures, we consider the problem of rule-based graph repair: Given a rule set and a graph constraint, try to construct a…

Software Engineering · Computer Science 2019-12-23 Christian Sandmann , Annegret Habel

Precision contouring control is crucial in industrial machining processes, particularly for applications such as laser and water jet cutting, where contouring accuracy directly determines product quality. This paper presents a novel control…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Meng Yuan , Tianyou Chai

The boundary representation (B-Rep) is the standard data structure used in Computer-Aided Design (CAD) for defining solid models. Despite recent progress, directly generating B-Reps end-to-end with precise geometry and watertight topology…

Computer Vision and Pattern Recognition · Computer Science 2025-12-03 Xiang Xu , Pradeep Kumar Jayaraman , Joseph G. Lambourne , Yilin Liu , Durvesh Malpure , Pete Meltzer

We consider high-dimensional generalized linear models when the covariates are contaminated by measurement error. Estimates from errors-in-variables regression models are well-known to be biased in traditional low-dimensional settings if…

Computation · Statistics 2020-01-06 Michael Byrd , Monnie McGee

Machine learning models commonly exhibit unexpected failures post-deployment due to either data shifts or uncommon situations in the training environment. Domain experts typically go through the tedious process of inspecting the failure…

Feature-based parametric modeling is the de facto standard in CAD. Boundary representation-based direct modeling is another CAD paradigm developed recently. They have complementary advantages and limitations, thereby offering huge potential…

Graphics · Computer Science 2023-01-10 Qiang Zou , Hsi-Yung Feng , Shuming Gao

The very recent CAD paradigm of direct modeling gives rise to the need of processing 3D geometric constraint systems defined on boundary representation (B-rep) models. The major issue of processing such variational B-rep models (in the STEP…

Computational Geometry · Computer Science 2019-03-20 Qiang Zou , Hsi-Yung Feng

Reverse engineering can be used to derive a 3D model of an existing physical part when such a model is not readily available. For parts that will be fabricated with subtractive and formative manufacturing processes, existing reverse…

Computational Engineering, Finance, and Science · Computer Science 2026-03-24 Jannatul Bushra , Md Habibor Rahman , Mohammed Shafae , Hannah D. Budinoff

Varying coefficient model is often used in statistical modeling since it is more flexible than the parametric model. However, model detection and variable selection of varying coefficient model are poorly understood in mode regression.…

Methodology · Statistics 2020-09-23 Xuejun Ma , Yue Du , Jingli Wang

Deep learning models have made significant progress in automatic program repair. However, the black-box nature of these methods has restricted their practical applications. To address this challenge, this paper presents an interpretable…

Software Engineering · Computer Science 2022-06-07 Jianzong Wang , Shijing Si , Zhitao Zhu , Xiaoyang Qu , Zhenhou Hong , Jing Xiao

The construction of computer models (mathematical models implemented in computer codes), with respect to observed phenomena, is usually undertaken by building different variants depending on modeller sensibility, and choosing the one…

Methodology · Statistics 2018-03-28 Filippo Monari

Intensive testing using model-based approaches is the standard way of demonstrating the correctness of automotive software. Unfortunately, state-of-the-art techniques leave a crucial and labor intensive task to the test engineer:…

Software Engineering · Computer Science 2022-12-16 Mike Becker , Roland Meyer , Tobias Runge , Ina Schaefer , Sören van der Wall , Sebastian Wolff

Robustness problems due to the substitution of the exact computation on real numbers by the rounded floating point arithmetic are often an obstacle to obtain practical implementation of geometric algorithms. If the adoption of the --exact…

Computational Geometry · Computer Science 2007-05-23 Olivier Devillers , Philippe Guigue

In this paper we present a new algorithm for Polynomial Linear System Solving (via evaluation/interpolation) with errors. In this scenario, errors can occur in the black box evaluation step. We improve the bound on the number of errors that…

Information Theory · Computer Science 2021-02-09 E. Guerrini , R. Lebreton , I. Zappatore

Model error estimation remains one of the key challenges in uncertainty quantification and predictive science. For computational models of complex physical systems, model error, also known as structural error or model inadequacy, is often…

Computation · Statistics 2024-03-28 Khachik Sargsyan , Xun Huan , Habib N. Najm