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Discrepancy is a well-known measure for the irregularity of the distribution of a point set. Point sets with small discrepancy are called low-discrepancy and are known to efficiently fill the space in a uniform manner. Low-discrepancy…

Machine Learning · Computer Science 2024-09-27 T. Konstantin Rusch , Nathan Kirk , Michael M. Bronstein , Christiane Lemieux , Daniela Rus

We study the problem of extracting accurate correspondences for point cloud registration. Recent keypoint-free methods bypass the detection of repeatable keypoints which is difficult in low-overlap scenarios, showing great potential in…

Computer Vision and Pattern Recognition · Computer Science 2023-07-18 Zheng Qin , Hao Yu , Changjian Wang , Yulan Guo , Yuxing Peng , Kai Xu

Motivated by sequential budgeted allocation problems, we investigate online matching problems where connections between vertices are not i.i.d., but they have fixed degree distributions -- the so-called configuration model. We estimate the…

Data Structures and Algorithms · Computer Science 2021-07-05 Nathan Noiry , Flore Sentenac , Vianney Perchet

We address the unsupervised open domain recognition (UODR) problem, where categories in labeled source domain S is only a subset of those in unlabeled target domain T. The task is to correctly classify all samples in T including known and…

Computer Vision and Pattern Recognition · Computer Science 2019-04-19 Junbao Zhuo , Shuhui Wang , Shuhao Cui , Qingming Huang

We study graph-based Laplacian semi-supervised learning at low labeling rates. Laplacian learning uses harmonic extension on a graph to propagate labels. At very low label rates, Laplacian learning becomes degenerate and the solution is…

Statistics Theory · Mathematics 2020-06-05 Jeff Calder , Dejan Slepčev , Matthew Thorpe

We present theoretical convergence guarantees for ODE-based generative models, specifically flow matching. We use a pre-trained autoencoder network to map high-dimensional original inputs to a low-dimensional latent space, where a…

Machine Learning · Statistics 2024-04-30 Yuling Jiao , Yanming Lai , Yang Wang , Bokai Yan

We study the problem of online non-stochastic control (ONC), which is the control of a linear system under adversarial disturbances and adversarial cost functions, with the aim of minimizing the total cost incurred. A recent line of…

Optimization and Control · Mathematics 2026-04-21 Vijeth Hebbar , Spencer Hutchinson , Mahnoosh Alizadeh , Cédric Langbort

The angular synchronization problem of estimating a set of unknown angles from their known noisy pairwise differences arises in various applications. It can be reformulated as a optimization problem on graphs involving the graph Laplacian…

Optimization and Control · Mathematics 2022-09-12 Frank Filbir , Felix Krahmer , Oleh Melnyk

We consider the problem of exact and inexact matching of weighted undirected graphs, in which a bijective correspondence is sought to minimize a quadratic weight disagreement. This computationally challenging problem is often relaxed as a…

Data Structures and Algorithms · Computer Science 2014-10-14 Yonathan Aflalo , Alex Bronstein , Ron Kimmel

We contribute to the sparsely populated area of unsupervised deep graph matching with application to keypoint matching in images. Contrary to the standard \emph{supervised} approach, our method does not require ground truth correspondences…

Computer Vision and Pattern Recognition · Computer Science 2024-02-13 Siddharth Tourani , Carsten Rother , Muhammad Haris Khan , Bogdan Savchynskyy

Low-rank matrix regression is a fundamental problem in data science with various applications in systems and control. Nuclear norm regularization has been widely applied to solve this problem due to its convexity. However, it suffers from…

Systems and Control · Electrical Eng. & Systems 2025-06-04 Mingzhou Yin , Matthias A. Müller

Orthology and paralogy relations are often inferred by methods based on gene similarity, which usually yield a graph depicting the relationships between gene pairs. Such relation graphs are known to frequently contain errors, as they cannot…

Data Structures and Algorithms · Computer Science 2022-02-16 Mark Jones , Manuel Lafond , Celine Scornavacca

In this paper, we present confidence inference approachin an unsupervised way in stereo matching. Deep Neu-ral Networks (DNNs) have recently been achieving state-of-the-art performance. However, it is often hard to tellwhether the trained…

Computer Vision and Pattern Recognition · Computer Science 2018-09-27 Ruichao Xiao , Wenxiu Sun , Chengxi Yang

Aggregating information from neighboring nodes benefits graph neural networks (GNNs) in semi-supervised node classification tasks. Nevertheless, this mechanism also renders nodes susceptible to the influence of their neighbors. For…

Machine Learning · Computer Science 2025-03-06 Shenzhi Yang , Jun Xia , Jingbo Zhou , Xingkai Yao , Xiaofang Zhang

Graph matching can be formalized as a combinatorial optimization problem, where there are corresponding relationships between pairs of nodes that can be represented as edges. This problem becomes challenging when there are potential…

Computer Vision and Pattern Recognition · Computer Science 2023-01-06 Dongdong Chen , Yuxing Dai , Lichi Zhang , Zhihong Zhang

U-statistics play central roles in many statistical learning tools but face the haunting issue of scalability. Significant efforts have been devoted into accelerating computation by U-statistic reduction. However, existing results almost…

Methodology · Statistics 2023-06-07 Meijia Shao , Dong Xia , Yuan Zhang

We propose the first fast and certifiable algorithm for the registration of two sets of 3D points in the presence of large amounts of outlier correspondences. We first reformulate the registration problem using a Truncated Least Squares…

Robotics · Computer Science 2020-10-20 Heng Yang , Jingnan Shi , Luca Carlone

In this work, we discuss low-parametric approaches for approximating SimRank matrices, which estimate the similarity between pairs of nodes in a graph. Although SimRank matrices and their computation require a significant amount of memory,…

Numerical Analysis · Mathematics 2026-02-25 Egor P. Berezin , Robert T. Zaks , German Z. Alekhin , Stanislav V. Morozov , Sergey A. Matveev

Data imbalance is easily found in annotated data when the observations of certain continuous label values are difficult to collect for regression tasks. When they come to molecule and polymer property predictions, the annotated graph…

Machine Learning · Computer Science 2023-05-23 Gang Liu , Tong Zhao , Eric Inae , Tengfei Luo , Meng Jiang

Low discrepancy point sets have been widely used as a tool to approximate continuous objects by discrete ones in numerical processes, for example in numerical integration. Following a century of research on the topic, it is still unclear…

Computational Geometry · Computer Science 2024-07-17 François Clément , Carola Doerr , Kathrin Klamroth , Luís Paquete