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Spectral clustering is a powerful method for finding structure in a dataset through the eigenvectors of a similarity matrix. It often outperforms traditional clustering algorithms such as $k$-means when the structure of the individual…

Numerical Analysis · Mathematics 2019-04-26 Paola Favati , Grazia Lotti , Ornella Menchi , Francesco Romani

We cast shape matching as metric learning with convolutional networks. We break the end-to-end process of image representation into two parts. Firstly, well established efficient methods are chosen to turn the images into edge maps.…

Computer Vision and Pattern Recognition · Computer Science 2018-07-27 Filip Radenović , Giorgos Tolias , Ondřej Chum

Superpixels have become very popular in many computer vision applications. Nevertheless, they remain underexploited since the superpixel decomposition may produce irregular and non stable segmentation results due to the dependency to the…

Computer Vision and Pattern Recognition · Computer Science 2025-09-26 Rémi Giraud , Vinh-Thong Ta , Aurélie Bugeau , Pierrick Coupé , Nicolas Papadakis

The usage of convolutional neural networks (CNNs) for unsupervised image segmentation was investigated in this study. In the proposed approach, label prediction and network parameter learning are alternately iterated to meet the following…

Computer Vision and Pattern Recognition · Computer Science 2020-08-26 Wonjik Kim , Asako Kanezaki , Masayuki Tanaka

Finding correspondences is a fundamental and extensively researched problem in computer vision and graphics. In this work, we examine the underexplored task of estimating segmentation-to-segmentation correspondence between images in the…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Itai Lang , Dongwei Lyu , Dale Decatur , Rana Hanocka

The alignment of shapes has been a crucial step in statistical shape analysis, for example, in calculating mean shape, detecting locational differences between two shape populations, and classification. Procrustes alignment is the most…

Methodology · Statistics 2025-01-06 Mohsen Taheri , Jörn Schulz

In this paper, matching pairs of random graphs under the community structure model is considered. The problem emerges naturally in various applications such as privacy, image processing and DNA sequencing. A pair of randomly generated…

Cryptography and Security · Computer Science 2018-11-01 F. Shirani , S. Garg , E. Erkip

In this paper, we propose a family of graph partition similarity measures that take the topology of the graph into account. These graph-aware measures are alternatives to using set partition similarity measures that are not specifically…

Machine Learning · Computer Science 2021-02-17 Valérie Poulin , François Théberge

Probabilistic relaxations of graph cuts offer a differentiable alternative to spectral clustering, enabling end-to-end and online learning without eigendecompositions, yet prior work centered on RatioCut and lacked general guarantees and…

Machine Learning · Computer Science 2026-04-02 Ayoub Ghriss

One of the major problems in modeling natural signals is that signals with very similar structure may locally have completely different measurements, e.g., images taken under different illumination conditions, or the speech signal captured…

Computer Vision and Pattern Recognition · Computer Science 2012-07-19 Nebojsa Jojic , Yaron Caspi , Manuel Reyes-Gomez

The classification of shapes is of great interest in diverse areas ranging from medical imaging to computer vision and beyond. While many statistical frameworks have been developed for the classification problem, most are strongly tied to…

Machine Learning · Statistics 2019-01-24 Min Ho Cho , Sebastian Kurtek , Steven N. MacEachern

Spectral Clustering(SC) is a prominent data clustering technique of recent times which has attracted much attention from researchers. It is a highly data-driven method and makes no strict assumptions on the structure of the data to be…

Machine Learning · Computer Science 2019-09-18 Lalith Srikanth Chintalapati , Raghunatha Sarma Rachakonda

Finding vertex-to-vertex correspondences in real-world graphs is a challenging task with applications in a wide variety of domains. Structural matching based on graphs connectivities has attracted considerable attention, while the…

Data Structures and Algorithms · Computer Science 2024-10-01 Raphaël Candelier

Image segmentation is an inherently ill-posed problem and thus requires regularization in order to limit the search space to reasonable solutions. A majority of segmentation methods integrates these regularization terms in one way or the…

Numerical Analysis · Mathematics 2018-10-31 Uri Nahum , Philippe C. Cattin

Graphical models are widely used to model stochastic dependences among large collections of variables. We introduce a new method of estimating undirected conditional independence graphs based on the score matching loss, introduced by…

Methodology · Statistics 2016-03-24 Lina Lin , Mathias Drton , Ali Shojaie

In medical image analysis, constructing an atlas, i.e. a mean representative of an ensemble of images, is a critical task for practitioners to estimate variability of shapes inside a population, and to characterise and understand how…

We present a means of formulating and solving the well known structure-and-motion problem in computer vision with probabilistic graphical models. We model the unknown camera poses and 3D feature coordinates as well as the observed 2D…

Computer Vision and Pattern Recognition · Computer Science 2021-10-11 Simon Streicher , Willie Brink , Johan du Preez

We propose a novel method for discovering shape regions that strongly correlate with user-prescribed tags. For example, given a collection of chairs tagged as either "has armrest" or "lacks armrest", our system correctly highlights the…

Computer Vision and Pattern Recognition · Computer Science 2018-05-02 Sanjeev Muralikrishnan , Vladimir G. Kim , Siddhartha Chaudhuri

We present a structural clustering algorithm for large-scale datasets of small labeled graphs, utilizing a frequent subgraph sampling strategy. A set of representatives provides an intuitive description of each cluster, supports the…

Databases · Computer Science 2016-10-03 Till Schäfer , Petra Mutzel

We propose an end-to-end trainable, cross-category method for reconstructing multiple man-made articulated objects from a single RGBD image, focusing on part-level shape reconstruction and pose and kinematics estimation. We depart from…

Computer Vision and Pattern Recognition · Computer Science 2025-04-07 Yuki Kawana , Tatsuya Harada