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Gradient clipping is commonly used in training deep neural networks partly due to its practicability in relieving the exploding gradient problem. Recently, \citet{zhang2019gradient} show that clipped (stochastic) Gradient Descent (GD)…

Machine Learning · Computer Science 2020-10-30 Bohang Zhang , Jikai Jin , Cong Fang , Liwei Wang

A novel and scalable geometric multi-level algorithm is presented for the numerical solution of elliptic partial differential equations, specially designed to run with high occupancy of streaming processors inside Graphics Processing…

Mathematical Software · Computer Science 2017-03-22 J. T. Becerra-Sagredo , F. Mandujano , C. Malaga

Recent 4D Gaussian Splatting (4DGS) methods achieve impressive dynamic scene reconstruction but often rely on piecewise linear velocity approximations and short temporal windows. This disjointed modeling leads to severe temporal…

Computer Vision and Pattern Recognition · Computer Science 2026-04-02 Suwoong Yeom , Joonsik Nam , Seunggyu Choi , Lucas Yunkyu Lee , Sangmin Kim , Jaesik Park , Joonsoo Kim , Kugjin Yun , Kyeongbo Kong , Sukju Kang

The most commonly used method for addressing 3D geometric registration is the iterative closet-point algorithm, this approach is incremental and prone to drift over multiple consecutive frames. The Common strategy to address the drift is…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Kathia Melbouci , Fawzi Nashashibi

Future video prediction is an ill-posed Computer Vision problem that recently received much attention. Its main challenges are the high variability in video content, the propagation of errors through time, and the non-specificity of the…

Computer Vision and Pattern Recognition · Computer Science 2018-03-19 Marc Oliu , Javier Selva , Sergio Escalera

We propose an efficient method for non-rigid surface tracking from monocular RGB videos. Given a video and a template mesh, our algorithm sequentially registers the template non-rigidly to each frame. We formulate the per-frame registration…

Computer Vision and Pattern Recognition · Computer Science 2021-07-13 Marc Habermann , Weipeng Xu , Helge Rhodin , Michael Zollhoefer , Gerard Pons-Moll , Christian Theobalt

Persistent homology is a cornerstone of topological data analysis, offering a multiscale summary of topology with robustness to nuisance transformations, such as rotations and small deformations. Persistent homology has seen broad use…

Methodology · Statistics 2025-11-19 Zitian Wu , Arkaprava Roy , Leo L. Duan

Persistent homology is an effective method for extracting topological information, represented as persistent diagrams, of spatial structure data. Hence it is well-suited for the study of protein structures. Attempts to incorporate…

Machine Learning · Computer Science 2024-08-01 An Wu , Yu Pan , Fuqi Zhou , Jinghui Yan , Chuanlu Liu

We tackle the task of synthesizing novel views of an object given a few input images and associated camera viewpoints. Our work is inspired by recent 'geometry-free' approaches where multi-view images are encoded as a (global) set-latent…

Computer Vision and Pattern Recognition · Computer Science 2023-01-12 Naveen Venkat , Mayank Agarwal , Maneesh Singh , Shubham Tulsiani

The Voronoi diagrams are an important tool having theoretical and practical applications in a large number of fields. We present a new procedure, implemented as a set of CUDA kernels, which detects, in a general and efficient way,…

Soft Condensed Matter · Physics 2017-03-08 Massimo Bernaschi , Matteo Lulli , Mauro Sbragaglia

Video stabilization is pivotal for video processing, as it removes unwanted shakiness while preserving the original user motion intent. Existing approaches, depending on the domain they operate, suffer from several issues (e.g. geometric…

Graphics · Computer Science 2025-07-21 Zinuo You , Stamatios Georgoulis , Anpei Chen , Siyu Tang , Dengxin Dai

Hardware-based triangle rasterization is still the prevalent method for generating images at real-time interactive frame rates. With the availability of a programmable graphics pipeline a large variety of techniques are supported for…

Graphics · Computer Science 2022-11-29 Francisco Inácio , Jan P. Springer

Video grounding aims to localize the temporal segment corresponding to a sentence query from an untrimmed video. Almost all existing video grounding methods fall into two frameworks: 1) Top-down model: It predefines a set of segment…

Computer Vision and Pattern Recognition · Computer Science 2022-04-12 Meng Cao , Long Chen , Mike Zheng Shou , Can Zhang , Yuexian Zou

We strengthen the usual stability theorem for Vietoris-Rips (VR) persistent homology of finite metric spaces by building upon constructions due to Usher and Zhang in the context of filtered chain complexes. The information present at the…

Algebraic Topology · Mathematics 2025-08-22 Facundo Mémoli , Ling Zhou

Video retrieval is a challenging research topic bridging the vision and language areas and has attracted broad attention in recent years. Previous works have been devoted to representing videos by directly encoding from frame-level…

Computer Vision and Pattern Recognition · Computer Science 2020-06-17 Zerun Feng , Zhimin Zeng , Caili Guo , Zheng Li

Graph processes exhibit a temporal structure determined by the sequence index and and a spatial structure determined by the graph support. To learn from graph processes, an information processing architecture must then be able to exploit…

Signal Processing · Electrical Eng. & Systems 2020-12-02 Luana Ruiz , Fernando Gama , Alejandro Ribeiro

Persistent homology is a common technique in topological data analysis providing geometrical and topological information about the sample space. All this information, known as topological features, is summarized in persistence diagrams, and…

Methodology · Statistics 2022-04-05 Asael Fabian Martínez

Purpose: Accurate identification of hepatocystic anatomy is critical to preventing surgical complications during laparoscopic cholecystectomy. Deep learning models often struggle with occlusions, long-range dependencies, and capturing the…

Computer Vision and Pattern Recognition · Computer Science 2025-11-21 Yihan Li , Nikhil Churamani , Maria Robu , Imanol Luengo , Danail Stoyanov

Persistent homology provides information about the lifetime of homology classes along a filtration of cell complexes. Persistence barcode is a graphical representation of such information. A filtration might be determined by time in a set…

Computer Vision and Pattern Recognition · Computer Science 2018-01-04 Rocio Gonzalez-Diaz , Maria-Jose Jimenez , Belen Medrano

Video super-resolution (VSR) aims to estimate a high-resolution (HR) frame from a low-resolution (LR) frames. The key challenge for VSR lies in the effective exploitation of spatial correlation in an intra-frame and temporal dependency…

Computer Vision and Pattern Recognition · Computer Science 2021-06-15 Young-Ju Choi , Young-Woon Lee , Byung-Gyu Kim