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We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. To this end, we replace the commonly used eikonal equation with the heat method, carrying over to the neural domain what…

Numerical Analysis · Mathematics 2026-02-02 Samuel Weidemaier , Florine Hartwig , Josua Sassen , Sergio Conti , Mirela Ben-Chen , Martin Rumpf

This paper proposes an efficient HOT algorithm for solving the optimal transport (OT) problems with finite supports. We particularly focus on an efficient implementation of the HOT algorithm for the case where the supports are in…

Optimization and Control · Mathematics 2025-04-17 Guojun Zhang , Zhexuan Gu , Yancheng Yuan , Defeng Sun

This paper presents a novel post-processing methodology for extracting high-quality geometries from density-based topology optimization results. Current post-processing approaches often struggle to simultaneously achieve smooth boundaries,…

Computational Engineering, Finance, and Science · Computer Science 2025-12-09 Ondřej Ježek , Ján Kopačka , Martin Isoz , Dušan Gabriel , Pavel Maršálek , Martin Šotola , Radim Halama

Deep neural representations of 3D shapes as implicit functions have been shown to produce high fidelity models surpassing the resolution-memory trade-off faced by the explicit representations using meshes and point clouds. However, most…

Computer Vision and Pattern Recognition · Computer Science 2021-06-16 Rahul Venkatesh , Tejan Karmali , Sarthak Sharma , Aurobrata Ghosh , R. Venkatesh Babu , László A. Jeni , Maneesh Singh

In machine learning and statistical modeling, the mean square or absolute error is commonly used as an error metric, also called a "loss function." While effective in reducing the average error, this approach may fail to address localized…

Optimization and Control · Mathematics 2025-09-10 John M. Hanna , Hugues Talbot , Irene E. Vignon-Clementel

Deep neural networks provide effective solutions to small-footprint keyword spotting (KWS). However, if training data is limited, it remains challenging to achieve robust and highly accurate KWS in real-world scenarios where unseen sounds…

Audio and Speech Processing · Electrical Eng. & Systems 2021-07-14 Menglong Xu , Shengqiang Li , Chengdong Liang , Xiao-Lei Zhang

Oriented normals are common pre-requisites for many geometric algorithms based on point clouds, such as Poisson surface reconstruction. However, it is not trivial to obtain a consistent orientation. In this work, we bridge orientation and…

Graphics · Computer Science 2023-05-02 Dong Xiao , Zuoqiang Shi , Siyu Li , Bailin Deng , Bin Wang

Bottom-up based multi-person pose estimation approaches use heatmaps with auxiliary predictions to estimate joint positions and belonging at one time. Recently, various combinations between auxiliary predictions and heatmaps have been…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Haiyang Liu , Dingli Luo , Songlin Du , Takeshi Ikenaga

Scene completion refers to obtaining dense scene representation from an incomplete perception of complex 3D scenes. This helps robots detect multi-scale obstacles and analyse object occlusions in scenarios such as autonomous driving. Recent…

Computer Vision and Pattern Recognition · Computer Science 2023-02-28 Pengfei Li , Ruowen Zhao , Yongliang Shi , Hao Zhao , Jirui Yuan , Guyue Zhou , Ya-Qin Zhang

Newton-step approximations to pseudo maximum likelihood estimates of spatial autoregressive models with a large number of parameters are examined, in the sense that the parameter space grows slowly as a function of sample size. These have…

Econometrics · Economics 2021-05-25 Abhimanyu Gupta

In recent years, implicit functions have drawn attention in the field of 3D reconstruction and have successfully been applied with Deep Learning. However, for incremental reconstruction, implicit function-based registrations have been…

Robotics · Computer Science 2022-06-01 Yijun Yuan , Andreas Nuechter

We describe in this short note a technique to convert an implicit surface into a Signed Distance Function (SDF) while exactly preserving the zero level-set of the implicit. The proposed approach relies on embedding the input implicit in the…

Graphics · Computer Science 2021-06-07 Pierre-Alain Fayolle

Most existing distance metric learning methods assume perfect side information that is usually given in pairwise or triplet constraints. Instead, in many real-world applications, the constraints are derived from side information, such as…

Machine Learning · Computer Science 2012-03-19 Kaizhu Huang , Rong Jin , Zenglin Xu , Cheng-Lin Liu

Deep learning methods have achieved excellent performance in pose estimation, but the lack of robustness causes the keypoints to change drastically between similar images. In view of this problem, a stable heatmap regression method is…

Computer Vision and Pattern Recognition · Computer Science 2021-05-11 Yumeng Zhang , Li Chen , Yufeng Liu , Xiaoyan Guo , Wen Zheng , Junhai Yong

Stochastic nonconvex optimization problems with nonlinear constraints have a broad range of applications in intelligent transportation, cyber-security, and smart grids. In this paper, first, we propose an inexact-proximal accelerated…

Optimization and Control · Mathematics 2021-07-08 Morteza Boroun , Afrooz Jalilzadeh

In this work, we address the problem of optimally placing a finite number of sensors within a given region so as to minimize the mean or maximal distance to the points of the domain. To tackle this natural geometric performance criterion,…

Optimization and Control · Mathematics 2026-02-16 Ilias Ftouhi , Enrique Zuazua

We consider the problem of optimizing neural implicit surfaces for 3D reconstruction using acoustic images collected with drifting sensor poses. The accuracy of current state-of-the-art 3D acoustic modeling algorithms is highly dependent on…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Tianxiang Lin , Mohamad Qadri , Kevin Zhang , Adithya Pediredla , Christopher A. Metzler , Michael Kaess

We propose an implicit iterative algorithm for an exact penalty method arising from inequality constrained optimization problems. A rapidly convergent fixed point method is developed for a regularized penalty functional. The applicability…

Optimization and Control · Mathematics 2012-10-05 Kazufumi Ito , Tomoya Takeuchi

A game theory inspired methodology is proposed for finding a function's saddle points. While explicit descent methods are known to have severe convergence issues, implicit methods are natural in an adversarial setting, as they take the…

Optimization and Control · Mathematics 2019-06-04 Montacer Essid , Esteban Tabak , Giulio Trigila

When solving inverse problems, one has to deal with numerous potential sources of model inexactnesses, like object motion, calibration errors, or simplified data models. Regularized Sequential Subspace Optimization (ReSeSOp) allows to…

Numerical Analysis · Mathematics 2024-11-15 Mathias S. Feinler , Bernadette N. Hahn