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The emergence of explainability methods has enabled a better comprehension of how deep neural networks operate through concepts that are easily understood and implemented by the end user. While most explainability methods have been designed…

Neurons and Cognition · Quantitative Biology 2022-03-17 Fernanda L. Ribeiro , Steffen Bollmann , Ross Cunnington , Alexander M. Puckett

Deep Neural Network(DNN) techniques have been prevalent in software engineering. They are employed to faciliatate various software engineering tasks and embedded into many software applications. However, analyzing and understanding their…

Software Engineering · Computer Science 2019-06-04 Xufan Zhang , Ziyue Yin , Yang Feng , Qingkai Shi , Jia Liu , Zhenyu Chen

Boundary representation (B-rep) is the industry standard for computer-aided design (CAD). While deep learning shows promise in processing B-rep models, existing methods suffer from a representation gap: continuous approaches offer…

Machine Learning · Computer Science 2026-02-10 Yuanxu Sun , Yuezhou Ma , Haixu Wu , Guanyang Zeng , Muye Chen , Jianmin Wang , Mingsheng Long

Understanding the 3D structure of a scene is of vital importance, when it comes to developing fully autonomous robots. To this end, we present a novel deep learning based framework that estimates depth, surface normals and surface curvature…

Computer Vision and Pattern Recognition · Computer Science 2017-06-26 Thanuja Dharmasiri , Andrew Spek , Tom Drummond

We present a new approach for predictive modeling and its uncertainty quantification for mechanical systems, where coarse-grained models such as constitutive relations are derived directly from observation data. We explore the use of a…

Numerical Analysis · Mathematics 2020-06-24 Daniel Z. Huang , Kailai Xu , Charbel Farhat , Eric Darve

This paper proposes fast and novel methods to jointly estimate the target's unknown 3D shape and dynamics. Measurements are noisy and sparsely distributed 3D points from a light detection and ranging (LiDAR) sensor. The methods utilize…

Signal Processing · Electrical Eng. & Systems 2020-02-05 Benjamin Naujoks , Patrick Burger , Hans-Joachim Wuensche

In applications like computer aided design, geometric models are often represented numerically as polynomial splines or NURBS, even when they originate from primitive geometry. For purposes such as redesign and isogeometric analysis, it is…

Numerical Analysis · Mathematics 2023-08-10 Andrea Raffo , Oliver J. D. Barrowclough , Georg Muntingh

We introduce UV-Net, a novel neural network architecture and representation designed to operate directly on Boundary representation (B-rep) data from 3D CAD models. The B-rep format is widely used in the design, simulation and manufacturing…

Computer Vision and Pattern Recognition · Computer Science 2021-04-27 Pradeep Kumar Jayaraman , Aditya Sanghi , Joseph G. Lambourne , Karl D. D. Willis , Thomas Davies , Hooman Shayani , Nigel Morris

We introduce DiffBMP, a scalable and efficient differentiable rendering engine for a collection of bitmap images. Our work addresses a limitation that traditional differentiable renderers are constrained to vector graphics, given that most…

Graphics · Computer Science 2026-03-25 Seongmin Hong , Junghun James Kim , Daehyeop Kim , Insoo Chung , Se Young Chun

Recent techniques have been successful in reconstructing surfaces as level sets of learned functions (such as signed distance fields) parameterized by deep neural networks. Many of these methods, however, learn only closed surfaces and are…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 David Palmer , Dmitriy Smirnov , Stephanie Wang , Albert Chern , Justin Solomon

Spline functions have long been used in numerical solution of differential equations. Recently it revives as isogeometric analysis, which offers integration of finite element analysis and NURBS based CAD into a single unified process.…

Numerical Analysis · Mathematics 2019-08-08 Guohui Zhao

We propose Pulsar, an efficient sphere-based differentiable renderer that is orders of magnitude faster than competing techniques, modular, and easy-to-use due to its tight integration with PyTorch. Differentiable rendering is the…

Graphics · Computer Science 2020-12-23 Christoph Lassner , Michael Zollhöfer

In this paper, a novel varying order NURBS discretization method is proposed to enhance the performance of isogeometric analysis within the framework of computational contact mechanics. The method makes use of higher-order NURBS for contact…

Numerical Analysis · Computer Science 2020-06-03 Vishal Agrawal , Sachin S. Gautam

We introduce neural networks for end-to-end differentiable proving of queries to knowledge bases by operating on dense vector representations of symbols. These neural networks are constructed recursively by taking inspiration from the…

Neural and Evolutionary Computing · Computer Science 2017-12-05 Tim Rocktäschel , Sebastian Riedel

In industrial applications, nearly half the failures of motors are caused by the degradation of rolling element bearings (REBs). Therefore, accurately estimating the remaining useful life (RUL) for REBs are of crucial importance to ensure…

Machine Learning · Computer Science 2022-08-31 Cheng Cheng , Guijun Ma , Yong Zhang , Mingyang Sun , Fei Teng , Han Ding , Ye Yuan

Neural routing solvers (NRSs) that leverage deep learning to tackle vehicle routing problems have demonstrated notable potential for practical applications. By learning implicit heuristic rules from data, NRSs replace the handcrafted…

Optimization and Control · Mathematics 2026-03-17 Yunpeng Ba , Xi Lin , Changliang Zhou , Ruihao Zheng , Zhenkun Wang , Xinyan Liang , Zhichao Lu , Jianyong Sun , Yuhua Qian , Qingfu Zhang

In this study, we propose a new numerical scheme for physics-informed neural networks (PINNs) that enables precise and inexpensive solution for partial differential equations (PDEs) in case of arbitrary geometries while strictly enforcing…

Numerical Analysis · Mathematics 2024-07-30 Hamed Saidaoui , Luis Espath , Rául Tempone

Nearest neighbor (kNN) methods have been gaining popularity in recent years in light of advances in hardware and efficiency of algorithms. There is a plethora of methods to choose from today, each with their own advantages and…

Machine Learning · Computer Science 2017-03-01 Daniel Zoran , Balaji Lakshminarayanan , Charles Blundell

Designing and implementing efficient, provably correct parallel neural network processing is challenging. Existing high-level parallel abstractions like MapReduce are insufficiently expressive while low-level tools like MPI and Pthreads…

Machine Learning · Computer Science 2016-06-21 Maohua Zhu , Liu Liu , Chao Wang , Yuan Xie

In this work we introduce a differential rendering module which allows neural networks to efficiently process cluttered data. The module is composed of continuous piecewise differentiable functions defined as a sensor array of cells…

Computer Vision and Pattern Recognition · Computer Science 2019-04-11 Yonatan Svirsky , Andrei Sharf