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In this paper we address the problem of establishing correspondences between different instances of the same object. The problem is posed as finding the geometric transformation that aligns a given image pair. We use a convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2019-01-25 Zakaria Laskar , Hamed R. Tavakoli , Juho Kannala

In this paper, we study the problem of recovering the latent vertex correspondence between two correlated random graphs with vastly inhomogeneous and unknown edge probabilities between different pairs of vertices. Inspired by and extending…

Data Structures and Algorithms · Computer Science 2025-08-19 Jian Ding , Yumou Fei , Yuanzheng Wang

We study the problem of learning mixtures of low-rank models, i.e. reconstructing multiple low-rank matrices from unlabelled linear measurements of each. This problem enriches two widely studied settings -- low-rank matrix sensing and mixed…

Machine Learning · Statistics 2021-03-10 Yanxi Chen , Cong Ma , H. Vincent Poor , Yuxin Chen

Many machine learning tasks require finding per-part correspondences between objects. In this work we focus on low-level correspondences - a highly ambiguous matching problem. We propose to use a hierarchical semantic representation of the…

Computer Vision and Pattern Recognition · Computer Science 2017-11-07 Nikolay Savinov , Lubor Ladicky , Marc Pollefeys

Given two networks of differing sizes, it is of interest to test whether the two networks belong to the same distribution. We formalize the notion of "equality of distribution" under the framework of the generalized random dot product…

Statistics Theory · Mathematics 2026-03-10 Joshua Agterberg , Minh Tang , Carey Priebe

Graph matching, also known as network alignment, refers to finding a bijection between the vertex sets of two given graphs so as to maximally align their edges. This fundamental computational problem arises frequently in multiple fields…

Data Structures and Algorithms · Computer Science 2021-08-10 Cheng Mao , Mark Rudelson , Konstantin Tikhomirov

The paper addresses the problem of low-rank trace norm minimization. We propose an algorithm that alternates between fixed-rank optimization and rank-one updates. The fixed-rank optimization is characterized by an efficient factorization…

Optimization and Control · Mathematics 2013-06-04 B. Mishra , G. Meyer , F. Bach , R. Sepulchre

Point set registration involves identifying a smooth invertible transformation between corresponding points in two point sets, one of which may be smaller than the other and possibly corrupted by observation noise. This problem is…

Applications · Statistics 2018-12-27 Adam Spannaus , Vasileios Maroulas , David J. Keffer , Kody J. H. Law

We study a matrix recovery problem with unknown correspondence: given the observation matrix $M_o=[A,\tilde P B]$, where $\tilde P$ is an unknown permutation matrix, we aim to recover the underlying matrix $M=[A,B]$. Such problem commonly…

Machine Learning · Computer Science 2021-10-19 Zhiwei Tang , Tsung-Hui Chang , Xiaojing Ye , Hongyuan Zha

Registration is a fundamental but critical task in point cloud processing, which usually depends on finding element correspondence from two point clouds. However, the finding of reliable correspondence relies on establishing a robust and…

Computer Vision and Pattern Recognition · Computer Science 2022-02-16 Rong Huang , Wei Yao , Yusheng Xu , Zhen Ye , Uwe Stilla

Retrieval systems rely on representations learned by increasingly powerful models. However, due to the high training cost and inconsistencies in learned representations, there is significant interest in facilitating communication between…

Machine Learning · Computer Science 2026-05-20 Simone Ricci , Niccolò Biondi , Federico Pernici , Ioannis Patras , Alberto Del Bimbo

Semi-Supervised image classification is one of the most fundamental problem in computer vision, which significantly reduces the need for human labor. In this paper, we introduce a new semi-supervised learning algorithm - SimMatchV2, which…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Mingkai Zheng , Shan You , Lang Huang , Chen Luo , Fei Wang , Chen Qian , Chang Xu

Graph alignment, the problem of identifying corresponding nodes across multiple graphs, is fundamental to numerous applications. Most existing unsupervised methods embed node features into latent representations to enable cross-graph…

Machine Learning · Computer Science 2025-09-30 Maysam Behmanesh , Erkan Turan , Maks Ovsjanikov

Random graph matching refers to recovering the underlying vertex correspondence between two random graphs with correlated edges; a prominent example is when the two random graphs are given by Erd\H{o}s-R\'{e}nyi graphs $G(n,\frac{d}{n})$.…

Machine Learning · Statistics 2020-07-21 Jian Ding , Zongming Ma , Yihong Wu , Jiaming Xu

Point-cloud registration (PCR) is an important task in various applications such as robotic manipulation, augmented and virtual reality, SLAM, etc. PCR is an optimization problem involving minimization over two different types of…

Computer Vision and Pattern Recognition · Computer Science 2020-12-07 Tejas Zodage , Rahul Chakwate , Vinit Sarode , Rangaprasad Arun Srivatsan , Howie Choset

We study how to utilize (possibly machine-learned) predictions in a model for computing under uncertainty in which an algorithm can query unknown data. The goal is to minimize the number of queries needed to solve the problem. We consider…

Data Structures and Algorithms · Computer Science 2021-11-09 Thomas Erlebach , Murilo S. de Lima , Nicole Megow , Jens Schlöter

This study poses the feature correspondence problem as a hypergraph node labeling problem. Candidate feature matches and their subsets (usually of size larger than two) are considered to be the nodes and hyperedges of a hypergraph. A…

Computer Vision and Pattern Recognition · Computer Science 2011-07-14 Toufiq Parag , Vladimir Pavlovic , Ahmed Elgammal

The assumption that training and testing samples are generated from the same distribution does not always hold for real-world machine-learning applications. The procedure of tackling this discrepancy between the training (source) and…

Machine Learning · Computer Science 2018-12-05 Debasmit Das , C. S. George Lee

We propose a new method for embedding graphs while preserving directed edge information. Learning such continuous-space vector representations (or embeddings) of nodes in a graph is an important first step for using network information…

Machine Learning · Computer Science 2017-09-15 Sami Abu-El-Haija , Bryan Perozzi , Rami Al-Rfou

This work presents a two-stage neural architecture for learning and refining structural correspondences between graphs. First, we use localized node embeddings computed by a graph neural network to obtain an initial ranking of soft…

Machine Learning · Computer Science 2020-01-28 Matthias Fey , Jan E. Lenssen , Christopher Morris , Jonathan Masci , Nils M. Kriege
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