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Pose Graph Optimization (PGO) is an important non-convex optimization problem and is the state-of-the-art formulation for SLAM in robotics. It also has applications like camera motion estimation, structure from motion and 3D reconstruction…

机器人学 · 计算机科学 2018-06-04 S. M. Nasiri , Reshad Hosseini , Hadi Moradi

In many statistical linear inverse problems, one needs to recover classes of similar curves from their noisy images under an operator that does not have a bounded inverse. Problems of this kind appear in many areas of application.…

统计理论 · 数学 2020-03-24 Rasika Rajapakshage , Marianna Pensky

Tensor decompositions, which represent an $N$-order tensor using approximately $N$ factors of much smaller dimensions, can significantly reduce the number of parameters. This is particularly beneficial for high-order tensors, as the number…

机器学习 · 计算机科学 2025-06-23 Zhen Qin , Michael B. Wakin , Zhihui Zhu

In this paper, we present IRON (Invariant-based global Robust estimation and OptimizatioN), a non-minimal and highly robust solution for point cloud registration with a great number of outliers among the correspondences. To realize this, we…

计算机视觉与模式识别 · 计算机科学 2021-04-21 Lei Sun

In many real-world problems, we are dealing with collections of high-dimensional data, such as images, videos, text and web documents, DNA microarray data, and more. Often, high-dimensional data lie close to low-dimensional structures…

计算机视觉与模式识别 · 计算机科学 2013-02-06 Ehsan Elhamifar , Rene Vidal

We propose a systematic approach for registering cross-source point clouds. The compelling need for cross-source point cloud registration is motivated by the rapid development of a variety of 3D sensing techniques, but many existing…

计算机视觉与模式识别 · 计算机科学 2017-06-07 Xiaoshui Huang , Jian Zhang , Lixin Fan , Qiang Wu , Chun Yuan

Many machine learning models, such as logistic regression~(LR) and support vector machine~(SVM), can be formulated as composite optimization problems. Recently, many distributed stochastic optimization~(DSO) methods have been proposed to…

机器学习 · 统计学 2016-12-13 Shen-Yi Zhao , Ru Xiang , Ying-Hao Shi , Peng Gao , Wu-Jun Li

Given points from an arbitrary metric space and a sequence of point updates sent by an adversary, what is the minimum recourse per update (i.e., the minimum number of changes needed to the set of centers after an update), in order to…

数据结构与算法 · 计算机科学 2025-06-04 Sebastian Forster , Antonis Skarlatos

As a fundamental yet challenging problem in intelligent transportation systems, point cloud registration attracts vast attention and has been attained with various deep learning-based algorithms. The unsupervised registration algorithms…

计算机视觉与模式识别 · 计算机科学 2023-04-14 Dongrui Liu , Chuanchuan Chen , Changqing Xu , Robert Qiu , Lei Chu

We present a new fully-automatic non-rigid 3D shape registration (morphing) framework comprising (1) a new 3D landmarking and pose normalisation method; (2) an adaptive shape template method to accelerate the convergence of registration…

计算机视觉与模式识别 · 计算机科学 2018-09-25 Hang Dai , Nick Pears , William Smith

We propose DeepMapping, a novel registration framework using deep neural networks (DNNs) as auxiliary functions to align multiple point clouds from scratch to a globally consistent frame. We use DNNs to model the highly non-convex mapping…

计算机视觉与模式识别 · 计算机科学 2019-04-10 Li Ding , Chen Feng

Background and Objective: In neurosurgery, fusing clinical images and depth images that can improve the information and details is beneficial to surgery. We found that the registration of face depth images was invalid frequently using…

计算机视觉与模式识别 · 计算机科学 2024-05-24 Pengfei Li , Ziyue Ma , Hong Wang , Juan Deng , Yan Wang , Zhenyu Xu , Feng Yan , Wenjun Tu , Hong Sha

The aim of this paper is to deepen the convergence analysis of the scaled gradient projection (SGP) method, proposed by Bonettini et al. in a recent paper for constrained smooth optimization. The main feature of SGP is the presence of a…

数值分析 · 数学 2015-09-10 Silvia Bonettini , Marco Prato

Motivated by many applications, optimal control problems with integer controls have recently received a significant attention. Some state-of-the-art work uses perimeter-regularization to derive stationarity conditions and trust-region…

最优化与控制 · 数学 2024-06-11 Harbir Antil , Paul Manns

Rank regularized minimization problem is an ideal model for the low-rank matrix completion/recovery problem. The matrix factorization approach can transform the high-dimensional rank regularized problem to a low-dimensional factorized…

最优化与控制 · 数学 2024-05-21 Wenjing Li , Wei Bian , Kim-Chuan Toh

We study the consistent k-center clustering problem. In this problem, the goal is to maintain a constant factor approximate $k$-center solution during a sequence of $n$ point insertions and deletions while minimizing the recourse, i.e., the…

数据结构与算法 · 计算机科学 2023-07-27 Jakub Łącki , Bernhard Haeupler , Christoph Grunau , Václav Rozhoň , Rajesh Jayaram

We develop several efficient algorithms for the classical \emph{Matrix Scaling} problem, which is used in many diverse areas, from preconditioning linear systems to approximation of the permanent. On an input $n\times n$ matrix $A$, this…

数据结构与算法 · 计算机科学 2017-04-10 Zeyuan Allen-Zhu , Yuanzhi Li , Rafael Oliveira , Avi Wigderson

Deformable medical image registration is an essential task in computer-assisted interventions. This problem is particularly relevant to oncological treatments, where precise image alignment is necessary for tracking tumor growth, assessing…

计算机视觉与模式识别 · 计算机科学 2025-06-04 Stefano Fogarollo , Gregor Laimer , Reto Bale , Matthias Harders

In this paper, we present a new method for the multiview registration of point cloud. Previous multiview registration methods rely on exhaustive pairwise registration to construct a densely-connected pose graph and apply Iteratively…

计算机视觉与模式识别 · 计算机科学 2023-04-04 Haiping Wang , Yuan Liu , Zhen Dong , Yulan Guo , Yu-Shen Liu , Wenping Wang , Bisheng Yang

This paper introduces a novel approach for cardinality-constrained Poisson regression to address feature selection challenges in high-dimensional count data. We formulate the problem as a mixed-integer conic optimization, enabling the use…

最优化与控制 · 数学 2025-04-18 Kota Kurihara , Yoichi Izunaga