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Graph-based variational methods have recently shown to be highly competitive for various classification problems of high-dimensional data, but are inherently difficult to handle from an optimization perspective. This paper proposes a convex…

最优化与控制 · 数学 2017-02-17 Egil Bae , Ekaterina Merkurjev

Constructing precise global maps is a key task in robotics and is required for localization, surveying, monitoring, or constructing digital twins. To build accurate maps, data from mobile 3D LiDAR sensors is often used. Mapping requires…

机器人学 · 计算机科学 2024-12-17 Louis Wiesmann , Elias Marks , Saurabh Gupta , Tiziano Guadagnino , Jens Behley , Cyrill Stachniss

The choice of data representation is a key factor in the success of deep learning in geometric tasks. For instance, DUSt3R recently introduced the concept of viewpoint-invariant point maps, generalizing depth prediction and showing that all…

计算机视觉与模式识别 · 计算机科学 2025-08-15 Ben Kaye , Tomas Jakab , Shangzhe Wu , Christian Rupprecht , Andrea Vedaldi

We present a novel method for global motion planning of robotic systems that interact with the environment through contacts. Our method directly handles the hybrid nature of such tasks using tools from convex optimization. We formulate the…

Matching 3D rigid point clouds in complex environments robustly and accurately is still a core technique used in many applications. This paper proposes a new architecture combining error estimation from sample covariances and dual global…

计算机视觉与模式识别 · 计算机科学 2017-07-28 Can Pu , Nanbo Li , Robert B Fisher

Accurate and consistent construction of point clouds from LiDAR scanning data is fundamental for 3D modeling applications. Current solutions, such as multiview point cloud registration and LiDAR bundle adjustment, predominantly depend on…

计算机视觉与模式识别 · 计算机科学 2024-09-24 Jianping Li , Thien-Minh Nguyen , Shenghai Yuan , Lihua Xie

In this paper, we study the problem of solving a simple bilevel optimization problem, where the upper-level objective is minimized over the solution set of the lower-level problem. We focus on the general setting in which both the upper-…

最优化与控制 · 数学 2025-08-01 Jincheng Cao , Ruichen Jiang , Erfan Yazdandoost Hamedani , Aryan Mokhtari

In this paper, we propose a framework for fast trajectory planning for unmanned aerial vehicles (UAVs). Our framework is reformulated from an existing bilevel optimization, in which the lower-level problem solves for the optimal trajectory…

机器人学 · 计算机科学 2023-04-14 Qianzhong Chen , Sheng Cheng , Naira Hovakimyan

Primal-dual interior-point methods solve constrained convex optimization problems to tight tolerances with speed and robustness. Their solutions are also efficiently differentiable with respect to the problem data through the implicit…

最优化与控制 · 数学 2026-05-19 Jon Arrizabalaga , Kevin Tracy , Zachary Manchester

We consider minimizing a conic quadratic objective over a polyhedron. Such problems arise in parametric value-at-risk minimization, portfolio optimization, and robust optimization with ellipsoidal objective uncertainty; and they can be…

最优化与控制 · 数学 2018-11-06 Alper Atamturk , Andres Gomez

Primal-dual algorithm (PDA) is a classic and popular scheme for convex-concave saddle point problems. It is universally acknowledged that the proximal terms in the subproblems about the primal and dual variables are crucial to the…

最优化与控制 · 数学 2025-04-24 Shuning Liu , Zexian Liu

In this paper we consider a general problem set-up for a wide class of convex and robust distributed optimization problems in peer-to-peer networks. In this set-up convex constraint sets are distributed to the network processors who have to…

系统与控制 · 计算机科学 2013-12-02 Mathias Bürger , Giuseppe Notarstefano , Frank Allgöwer

In this paper, a multi-parameterized proximal point algorithm combining with a relaxation step is developed for solving convex minimization problem subject to linear constraints. We show its global convergence and sublinear convergence rate…

数值分析 · 数学 2019-07-11 Jianchao Bai , Ke Guo , Xiaokai Chang

In this paper, we develop a parameterized proximal point algorithm (P-PPA) for solving a class of separable convex programming problems subject to linear and convex constraints. The proposed algorithm is provable to be globally convergent…

最优化与控制 · 数学 2018-12-11 Jianchao Bai , Hongchao Zhang , Jicheng Li

Estimating positions of world points from features observed in images is a key problem in 3D reconstruction, image mosaicking,simultaneous localization and mapping and structure from motion. We consider a special instance in which there is…

计算机视觉与模式识别 · 计算机科学 2018-02-27 Cheng Peng , Volkan Isler

Parking spots are essential components, providing vital mobile resources for residents in a city. Accurate Global Positioning System (GPS) points of parking spots are the core data for subsequent applications,e.g., parking management,…

机器学习 · 计算机科学 2025-10-16 Jiaxing Deng , Junbiao Pang , Zhicheng Wang , Haitao Yu

The Platonic Representation Hypothesis suggests that independently trained neural networks converge to increasingly similar latent spaces. However, current strategies for mapping these representations are inherently pairwise, scaling…

LiDAR-based 3D detection has made great progress in recent years. However, the performance of 3D detectors is considerably limited when deployed in unseen environments, owing to the severe domain gap problem. Existing domain adaptive 3D…

计算机视觉与模式识别 · 计算机科学 2023-08-17 Ziyu Li , Jingming Guo , Tongtong Cao , Liu Bingbing , Wankou Yang

Multiview registration is used to estimate Rigid Body Transformations (RBTs) from multiple frames and reconstruct a scene with corresponding scans. Despite the success of pairwise registration and pose synchronization, the concept of Bundle…

机器人学 · 计算机科学 2021-08-09 Huaiyang Huang , Yuxiang Sun , Jin Wu , Jiaohao Jiao , Xiangcheng Hu , Linwei Zheng , Lujia Wang , Ming Liu

This paper proposes a robust, high-precision positioning methodology to address localization failures arising from complex background interference in large-scale flight navigation and the computational inefficiency inherent in conventional…

机器人学 · 计算机科学 2026-01-14 Jing Tao , Banglei Guan , Yang Shang , Shunkun Liang , Qifeng Yu