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We propose a functional view of matrix decomposition problems on graphs such as geometric matrix completion and graph regularized dimensionality reduction. Our unifying framework is based on the key idea that using a reduced basis to…

Machine Learning · Computer Science 2021-02-08 Abhishek Sharma , Maks Ovsjanikov

Querying the shortest path between two vertexes is a fundamental operation in a variety of applications, which has been extensively studied over static road networks. However, in reality, the travel costs of road segments evolve over time,…

Databases · Computer Science 2023-03-08 Zengyang Gong , Yuxiang Zeng , Lei Chen

We consider the task of obtaining the maximum a posteriori estimate of discrete pairwise random fields with arbitrary unary potentials and semimetric pairwise potentials. For this problem, we propose an accurate hierarchical move making…

Artificial Intelligence · Computer Science 2012-05-14 M. Pawan Kumar , Daphne Koller

When adapting Simultaneous Mapping and Localization (SLAM) to real-world applications, such as autonomous vehicles, drones, and augmented reality devices, its memory footprint and computing cost are the two main factors limiting the…

Robotics · Computer Science 2022-11-04 Yeonsoo Park , Soohyun Bae

Manual segmentation is used as the gold-standard for evaluating neural networks on automated image segmentation tasks. Due to considerable heterogeneity in shapes, colours and textures, demarcating object boundaries is particularly…

Image and Video Processing · Electrical Eng. & Systems 2021-11-02 Michael Yeung , Guang Yang , Evis Sala , Carola-Bibiane Schönlieb , Leonardo Rundo

This paper presents a minimum displacement motion planning problem wherein obstacles are displaced by a minimum amount to find a feasible path. We define a metric for robot-obstacle intersection that measures the extent of the intersection…

Robotics · Computer Science 2022-04-28 Antony Thomas , Fulvio Mastrogiovanni

Hypergraph partitioning is an important problem in machine learning, computer vision and network analytics. A widely used method for hypergraph partitioning relies on minimizing a normalized sum of the costs of partitioning hyperedges…

Machine Learning · Computer Science 2017-11-06 Pan Li , Olgica Milenkovic

The production of thematic maps depicting land cover is one of the most common applications of remote sensing. To this end, several semantic segmentation approaches, based on deep learning, have been proposed in the literature, but land…

Computer Vision and Pattern Recognition · Computer Science 2018-05-30 Guillem Pascual , Santi Seguí , Jordi Vitrià

Safety-critical infrastructures, such as bridges, are periodically inspected to check for existing damage, such as fatigue cracks and corrosion, and to guarantee the safe use of the infrastructure. Visual inspection is the most frequent…

Computer Vision and Pattern Recognition · Computer Science 2024-03-29 Andrii Kompanets , Remco Duits , Davide Leonetti , Nicky van den Berg , H. H. , Snijder

Since labeling medical image data is a costly and labor-intensive process, active learning has gained much popularity in the medical image segmentation domain in recent years. A variety of active learning strategies have been proposed in…

Computer Vision and Pattern Recognition · Computer Science 2022-07-05 Josafat-Mattias Burmeister , Marcel Fernandez Rosas , Johannes Hagemann , Jonas Kordt , Jasper Blum , Simon Shabo , Benjamin Bergner , Christoph Lippert

We consider the problem of classification of an object given multiple observations that possibly include different transformations. The possible transformations of the object generally span a low-dimensional manifold in the original signal…

Computer Vision and Pattern Recognition · Computer Science 2009-07-27 Effrosyni Kokiopoulou , Pascal Frossard

This paper presents a new probabilistic generative model for image segmentation, i.e. the task of partitioning an image into homogeneous regions. Our model is grounded on a mid-level image representation, called a region tree, in which…

Machine Learning · Statistics 2015-06-15 Shell X. Hu , Christopher K. I. Williams , Sinisa Todorovic

The study of genome rearrangement has many flavours, but they all are somehow tied to edit distances on variations of a multi-graph called the breakpoint graph. We study a weighted 2-break distance on Eulerian 2-edge-colored multi-graphs,…

Data Structures and Algorithms · Computer Science 2018-10-24 Pijus Simonaitis , Annie Chateau , Krister M. Swenson

Automation of brain tumor segmentation in 3D magnetic resonance images (MRIs) is key to assess the diagnostic and treatment of the disease. In recent years, convolutional neural networks (CNNs) have shown improved results in the task.…

Image and Video Processing · Electrical Eng. & Systems 2021-01-01 Laura Mora Ballestar , Veronica Vilaplana

Equipping predicted segmentation with calibrated uncertainty is essential for safety-critical applications. In this work, we focus on capturing the data-inherent uncertainty (aka aleatoric uncertainty) in segmentation, typically when…

Computer Vision and Pattern Recognition · Computer Science 2023-02-28 Zhitong Gao , Yucong Chen , Chuyu Zhang , Xuming He

Fully supervised deep neural networks for segmentation usually require a massive amount of pixel-level labels which are manually expensive to create. In this work, we develop a multi-task learning method to relax this constraint. We regard…

Computer Vision and Pattern Recognition · Computer Science 2021-04-07 Rihuan Ke , Aurélie Bugeau , Nicolas Papadakis , Mark Kirkland , Peter Schuetz , Carola-Bibiane Schönlieb

The inference of minimum spanning arborescences within a set of objects is a general problem which translates into numerous application-specific unsupervised learning tasks. We introduce a unified and generic structure called edit…

Computer Vision and Pattern Recognition · Computer Science 2021-08-02 Lucas Gnecco , Nicolas Boria , Sébastien Bougleux , Florian Yger , David B. Blumenthal

Formulations of the Image Decomposition Problem as a Multicut Problem (MP) w.r.t. a superpixel graph have received considerable attention. In contrast, instances of the MP w.r.t. a pixel grid graph have received little attention, firstly,…

Computer Vision and Pattern Recognition · Computer Science 2015-09-14 Margret Keuper , Evgeny Levinkov , Nicolas Bonneel , Guillaume Lavoué , Thomas Brox , Bjoern Andres

Finding a maximum independent set is a fundamental NP-hard problem that is used in many real-world applications. Given an unweighted graph, this problem asks for a maximum cardinality set of pairwise non-adjacent vertices. Some of the most…

Data Structures and Algorithms · Computer Science 2021-03-30 Demian Hespe , Sebastian Lamm , Christian Schorr

Medical image segmentation supports clinical workflows by precisely delineating anatomical structures and lesions. However, medical image datasets medical image datasets suffer from acquisition noise and annotation ambiguity, causing…

Artificial Intelligence · Computer Science 2026-04-14 Ruiyang Li , Fang Liu , Licheng Jiao , Xinglin Xie , Jiayao Hao , Shuo Li , Xu Liu , Jingyi Yang , Lingling Li , Puhua Chen , Wenping Ma