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Graph Transformers (GTs) have made remarkable achievements in graph-level tasks. However, most existing works regard graph structures as a form of guidance or bias for enhancing node representations, which focuses on node-central…

机器学习 · 计算机科学 2024-12-10 Xiaorui Qi , Qijie Bai , Yanlong Wen , Haiwei Zhang , Xiaojie Yuan

Pose Graph Optimization involves the estimation of a set of poses from pairwise measurements and provides a formalization for many problems arising in mobile robotics and geometric computer vision. In this paper, we consider the case in…

机器人学 · 计算机科学 2018-01-09 Luca Carlone , Giuseppe C. Calafiore

Recently neural radiance fields (NeRF) have been widely exploited as 3D representations for dense simultaneous localization and mapping (SLAM). Despite their notable successes in surface modeling and novel view synthesis, existing…

计算机视觉与模式识别 · 计算机科学 2024-03-26 Jiarui Hu , Xianhao Chen , Boyin Feng , Guanglin Li , Liangjing Yang , Hujun Bao , Guofeng Zhang , Zhaopeng Cui

Consider a linear regression model where the design matrix X has n rows and p columns. We assume (a) p is much large than n, (b) the coefficient vector beta is sparse in the sense that only a small fraction of its coordinates is nonzero,…

统计理论 · 数学 2014-06-16 Jiashun Jin , Cun-Hui Zhang , Qi Zhang

Joint optimization of poses and features has been extensively studied and demonstrated to yield more accurate results in feature-based SLAM problems. However, research on jointly optimizing poses and non-feature-based maps remains limited.…

机器人学 · 计算机科学 2025-07-14 Yingyu Wang , Liang Zhao , Shoudong Huang

The Graph Neural Network (GNN) has been widely used for graph data representation. However, the existing researches only consider the ideal balanced dataset, and the imbalanced dataset is rarely considered. Traditional methods such as…

机器学习 · 计算机科学 2022-05-10 S. Shi , Kai Qiao , Shuai Yang , L. Wang , J. Chen , Bin Yan

In this paper, we study decentralized online stochastic non-convex optimization over a network of nodes. Integrating a technique called gradient tracking in decentralized stochastic gradient descent, we show that the resulting algorithm,…

最优化与控制 · 数学 2021-04-21 Ran Xin , Usman A. Khan , Soummya Kar

To improve the robustness of graph neural networks (GNN), graph structure learning (GSL) has attracted great interest due to the pervasiveness of noise in graph data. Many approaches have been proposed for GSL to jointly learn a clean graph…

机器学习 · 计算机科学 2023-07-06 Shaogao Lv , Gang Wen , Shiyu Liu , Linsen Wei , Ming Li

Stochastic gradient descent (SGD) is a widely adopted iterative method for optimizing differentiable objective functions. In this paper, we propose and discuss a novel approach to scale up SGD in applications involving non-convex functions…

机器学习 · 统计学 2022-10-07 Saad Mohamad , Hamad Alamri , Abdelhamid Bouchachia

Gradient descent algorithm is the most utilized method when optimizing machine learning issues. However, there exists many local minimums and saddle points in the loss function, especially for high dimensional non-convex optimization…

机器学习 · 计算机科学 2021-07-19 Zhicheng Cai

Employing graph neural networks (GNNs) for graph clustering has shown promising results in deep graph clustering. However, existing methods disregard the reciprocal relationship between representation learning and structure augmentation:…

机器学习 · 计算机科学 2026-05-19 Shifei Ding , Benyu Wu , Xiao Xu , Ling Ding , Xindong Wu

We analyze the performance of graph neural network (GNN) architectures from the perspective of random graph theory. Our approach promises to complement existing lenses on GNN analysis, such as combinatorial expressive power and worst-case…

机器学习 · 计算机科学 2023-10-12 Drake Brown , Trevor Garrity , Kaden Parker , Jason Oliphant , Stone Carson , Cole Hanson , Zachary Boyd

A significant milestone in modern gradient-based optimization was achieved with the development of Nesterov's accelerated gradient descent (NAG) method. This forward-backward technique has been further advanced with the introduction of its…

最优化与控制 · 数学 2024-04-10 Bowen Li , Bin Shi , Ya-xiang Yuan

Surgical workflow recognition is vital for automating tasks, supporting decision-making, and training novice surgeons, ultimately improving patient safety and standardizing procedures. However, data corruption can lead to performance…

计算机视觉与模式识别 · 计算机科学 2025-05-06 Long Bai , Boyi Ma , Ruohan Wang , Guankun Wang , Beilei Cui , Zhongliang Jiang , Mobarakol Islam , Zhe Min , Jiewen Lai , Nassir Navab , Hongliang Ren

This paper considers nonconvex distributed constrained optimization over networks, modeled as directed (possibly time-varying) graphs. We introduce the first algorithmic framework for the minimization of the sum of a smooth nonconvex…

最优化与控制 · 数学 2018-09-05 Gesualdo Scutari , Ying Sun

For VSLAM (Visual Simultaneous Localization and Mapping), localization is a challenging task, especially for some challenging situations: textureless frames, motion blur, etc.. To build a robust exploration and localization system in a…

机器人学 · 计算机科学 2018-07-04 Weinan Chen , Lei Zhu , Yisheng Guan , C. Ronald Kube , Hong Zhang

We present a consensus-based distributed pose graph optimization algorithm for obtaining an estimate of the 3D translation and rotation of each pose in a pose graph, given noisy relative measurements between poses. The algorithm, called…

机器人学 · 计算机科学 2020-10-02 Eric Cristofalo , Eduardo Montijano , Mac Schwager

Global point cloud registration is essential in many robotics tasks like loop closing and relocalization. Unfortunately, the registration often suffers from the low overlap between point clouds, a frequent occurrence in practical…

机器人学 · 计算机科学 2023-07-25 Zhijian Qiao , Zehuan Yu , Huan Yin , Shaojie Shen

Graph condensation reduces the size of large graphs while preserving performance, addressing the scalability challenges of Graph Neural Networks caused by computational inefficiencies on large datasets. Existing methods often rely on…

机器学习 · 计算机科学 2025-10-10 Lin Wang , Qing Li

Graph neural networks (GNNs) which apply the deep neural networks to graph data have achieved significant performance for the task of semi-supervised node classification. However, only few work has addressed the adversarial robustness of…

机器学习 · 计算机科学 2019-10-16 Kaidi Xu , Hongge Chen , Sijia Liu , Pin-Yu Chen , Tsui-Wei Weng , Mingyi Hong , Xue Lin
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