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In this work, we present a new efficient method for convex shape representation, which is regardless of the dimension of the concerned objects, using level-set approaches. Convexity prior is very useful for object completion in computer…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Lingfeng li , Shousheng Luo , Xue-Cheng Tai , Jiang Yang

We consider the problem of maximizing a convex function over a closed convex set in a real Hilbert space. For linear functions, we show that a single orthogonal projection suffices to obtain an approximate solution. For continuous convex…

Optimization and Control · Mathematics 2026-02-23 Pedro Felzenszwalb , Heon Lee

Category-level articulated object pose estimation focuses on the pose estimation of unknown articulated objects within known categories. Despite its significance, this task remains challenging due to the varying shapes and poses of objects,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-05 Yuchen Che , Ryo Furukawa , Asako Kanezaki

Topology optimization is a valuable tool in engineering, facilitating the design of optimized structures. However, topological changes often require a remeshing step, which can become challenging. In this work, we propose an isogeometric…

Numerical Analysis · Mathematics 2026-05-01 Guilherme Henrique Teixeira , Nepomuk Krenn , Peter Gangl , Benjamin Marussig

Statistical models often assume that data are generated near a structured, smooth, or low-dimensional set. A common approach is to use Bayesian latent variable models, in which each observation is associated with a latent coordinate on the…

Methodology · Statistics 2026-04-14 Leo L Duan , Yuexi Wang , Jason Xu

Because of the advance in technologies, modern statistical studies often encounter linear models with the number of explanatory variables much larger than the sample size. Estimation and variable selection in these high-dimensional problems…

Statistics Theory · Mathematics 2012-06-06 Jun Shao , Xinwei Deng

Locating a target is key in many applications, namely in high-stakes real-world scenarios, like detecting humans or obstacles in vehicular networks. In scenarios where precise statistics of the measurement noise are unavailable,…

Optimization and Control · Mathematics 2022-08-17 João Domingos , Cláudia Soares , João Xavier

Most deep pose estimation methods need to be trained for specific object instances or categories. In this work we propose a completely generic deep pose estimation approach, which does not require the network to have been trained on…

Computer Vision and Pattern Recognition · Computer Science 2019-08-06 Yang Xiao , Xuchong Qiu , Pierre-Alain Langlois , Mathieu Aubry , Renaud Marlet

Accurate volume estimation of objects from visual data is a long-standing challenge in computer vision with significant applications in robotics, logistics, and smart health. Existing methods often rely on complex 3D reconstruction…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Gautham Vinod , Bruce Coburn , Siddeshwar Raghavan , Fengqing Zhu

We introduce a new variational estimator for the intensity function of an inhomogeneous spatial point process with points in the $d$-dimensional Euclidean space and observed within a bounded region. The variational estimator applies in a…

Statistics Theory · Mathematics 2014-07-02 Jean-François Coeurjolly , Jesper Møller

The panorama image can simultaneously demonstrate complete information of the surrounding environment and has many advantages in virtual tourism, games, robotics, etc. However, the progress of panorama depth estimation cannot completely…

Computer Vision and Pattern Recognition · Computer Science 2022-12-06 Qingsong Yan , Qiang Wang , Kaiyong Zhao , Bo Li , Xiaowen Chu , Fei Deng

We introduce a level set based approach to Bayesian geometric inverse problems. In these problems the interface between different domains is the key unknown, and is realized as the level set of a function. This function itself becomes the…

Methodology · Statistics 2015-04-02 Marco A. Iglesias , Yulong Lu , Andrew M. Stuart

Astronomical images are of crucial importance for astronomers since they contain a lot of information about celestial bodies that can not be directly accessible. Most of the information available for the analysis of these objects starts…

Numerical Analysis · Mathematics 2019-04-10 Silvia Tozza , Maurizio Falcone

Pose estimation is a widely explored problem, enabling many robotic tasks such as grasping and manipulation. In this paper, we tackle the problem of pose estimation for objects that exhibit rotational symmetry, which are common in man-made…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Enric Corona , Kaustav Kundu , Sanja Fidler

Spatial-mode projective measurements could achieve super-resolution in remote sensing and imaging, yet their performance is usually sensitive to the parameters of the target scenes. We propose and demonstrate a robust classifier of close-by…

Optics · Physics 2024-11-05 Ishan Darji , Santosh Kumar , Yu-Ping Huang

Changepoints are a very common feature of Big Data that arrive in the form of a data stream. In this paper, we study high-dimensional time series in which, at certain time points, the mean structure changes in a sparse subset of the…

Methodology · Statistics 2017-03-21 Tengyao Wang , Richard J. Samworth

Pose estimation and tracking of objects is a fundamental application in 3D vision. Event cameras possess remarkable attributes such as high dynamic range, low latency, and resilience against motion blur, which enables them to address…

Computer Vision and Pattern Recognition · Computer Science 2024-08-07 Zibin Liu , Banglei Guan , Yang Shang , Qifeng Yu , Laurent Kneip

Consider convex optimization problems subject to a large number of constraints. We focus on stochastic problems in which the objective takes the form of expected values and the feasible set is the intersection of a large number of convex…

Machine Learning · Statistics 2015-11-13 Mengdi Wang , Yichen Chen , Jialin Liu , Yuantao Gu

Recent studies have shown the benefits of using additional elevation data (e.g., DSM) for enhancing the performance of the semantic segmentation of aerial images. However, previous methods mostly adopt 3D elevation information as additional…

Computer Vision and Pattern Recognition · Computer Science 2020-09-23 Xiang Li , Lingjing Wang , Yi Fang

Stochastic gradient methods are scalable for solving large-scale optimization problems that involve empirical expectations of loss functions. Existing results mainly apply to optimization problems where the objectives are one- or two-level…

Optimization and Control · Mathematics 2018-01-15 Shuoguang Yang , Mengdi Wang , Ethan X. Fang