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The emergence of geometric deep learning as a novel framework to deal with graph-based representations has faded away traditional approaches in favor of completely new methodologies. In this paper, we propose a new framework able to combine…

Computer Vision and Pattern Recognition · Computer Science 2020-08-19 Pau Riba , Andreas Fischer , Josep Lladós , Alicia Fornés

Alignment or registration of functions is a fundamental problem in statistical analysis of functions and shapes. While there are several approaches available, a more recent approach based on Fisher-Rao metric and square-root velocity…

Methodology · Statistics 2022-04-12 Xiaoyang Guo , Wei Wu , Anuj Srivastava

IP Geolocation is a key enabler for many areas of application like Content Delivery Networks, targeted advertisement and law enforcement. Therefore, an increased accuracy is needed to improve service quality. Although IP Geolocation is an…

Networking and Internet Architecture · Computer Science 2020-04-20 Peter Hillmann , Lars Stiemert , Gabi Dreo Rodosek , Oliver Rose

We demonstrate that a graph-based search algorithm-relying on the construction of an approximate neighborhood graph-can directly work with challenging non-metric and/or non-symmetric distances without resorting to metric-space mapping…

Information Retrieval · Computer Science 2019-10-09 Leonid Boytsov , Eric Nyberg

Top-k Nearest Neighbors (kNN) problem on road network has numerous applications on location-based services. As direct search using the Dijkstra's algorithm results in a large search space, a plethora of complex-index-based approaches have…

Databases · Computer Science 2024-08-13 Yiqi Wang , Long Yuan , Wenjie Zhang , Xuemin Lin , Zi Chen , Qing Liu

In the era of the proliferation of Geo-Spatial Data, induced by the diffusion of GPS devices, the map matching problem still represents an important and valuable challenge. The process of associating a segment of the underlying road network…

Data Structures and Algorithms · Computer Science 2016-03-25 Paolo Cintia , Mirco Nanni

Given a directed graph of nodes and edges connecting them, a common problem is to find the shortest path between any two nodes. Here we show that the shortest path distances can be found by a simple matrix inversion: If the edges are given…

Data Structures and Algorithms · Computer Science 2024-07-25 Zeyu Jing , Markus Meister

We study the problem of reconstructing a hidden graph given access to a distance oracle. We design randomized algorithms for the following problems: reconstruction of a degree bounded graph with query complexity $\tilde{O}(n^{3/2})$;…

Data Structures and Algorithms · Computer Science 2013-04-25 Claire Mathieu , Hang Zhou

Metric graphs are ubiquitous in science and engineering. For example, many data are drawn from hidden spaces that are graph-like, such as the cosmic web. A metric graph offers one of the simplest yet still meaningful ways to represent the…

Computational Geometry · Computer Science 2017-12-05 Tamal K. Dey , Dayu Shi , Yusu Wang

Coverage problem in wireless sensor networks measures how well a region or parts of it is sensed by the deployed sensors. Definition of coverage metric depends on its applications for which sensors are deployed. In this paper, we introduce…

Computational Geometry · Computer Science 2020-01-16 Dinesh Dash

Graph comparison deals with identifying similarities and dissimilarities between graphs. A major obstacle is the unknown alignment of graphs, as well as the lack of accurate and inexpensive comparison metrics. In this work we introduce the…

Machine Learning · Computer Science 2021-12-09 Hermina Petric Maretic , Mireille El Gheche , Giovanni Chierchia , Pascal Frossard

Data association in SLAM is fundamentally challenging, and handling ambiguity well is crucial to achieve robust operation in real-world environments. When ambiguous measurements arise, conservatism often mandates that the measurement is…

Robotics · Computer Science 2019-03-07 Kristoffer M. Frey , Ted J. Steiner , Jonathan P. How

Graph-based representations such as Scene Graphs enable localization in structured indoor environments by matching a locally observed graph, constructed from sensor data, to a prior map. This process is particularly challenging in…

We consider the problem of learning a measure of distance among vectors in a feature space and propose a hybrid method that simultaneously learns from similarity ratings assigned to pairs of vectors and class labels assigned to individual…

Machine Learning · Computer Science 2012-07-02 Yi-Hao Kao , Benjamin Van Roy , Daniel Rubin , Jiajing Xu , Jessica Faruque , Sandy Napel

Visual defect detection plays an important role in intelligent industry. Patch based methods consider visual images as a collection of image patches according to positions, which have stronger discriminative ability for small defects in…

Computer Vision and Pattern Recognition · Computer Science 2024-01-19 Chao Han , Yudong Yan

Although heatmap regression is considered a state-of-the-art method to locate facial landmarks, it suffers from huge spatial complexity and is prone to quantization error. To address this, we propose a novel attentive one-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2020-08-28 Shi Yin , Shangfei Wang , Xiaoping Chen , Enhong Chen

Graph entity dependencies (GEDs) are novel graph constraints, unifying keys and functional dependencies, for property graphs. They have been found useful in many real-world data quality and data management tasks, including fact checking on…

Databases · Computer Science 2023-07-04 Dehua Liu , Selasi Kwashie , Yidi Zhang , Guangtong Zhou , Michael Bewong , Xiaoying Wu , Xi Guo , Keqing He , Zaiwen Feng

Recently there has been much interest in graph-based learning, with applications in collaborative filtering for recommender networks, link prediction for social networks and fraud detection. These networks can consist of millions of…

Social and Information Networks · Computer Science 2012-06-26 Purnamrita Sarkar , Andrew Moore

Methods for query answering over incomplete knowledge graphs retrieve entities that are likely to be answers, which is particularly useful when such answers cannot be reached by direct graph traversal due to missing edges. However, existing…

Artificial Intelligence · Computer Science 2026-05-25 Daniel Daza , Alberto Bernardi , Luca Costabello , Christophe Gueret , Masoud Mansoury , Michael Cochez , Martijn Schut

Camera localization methods based on retrieval, local feature matching, and 3D structure-based pose estimation are accurate but require high storage, are slow, and are not privacy-preserving. A method based on scene landmark detection (SLD)…

Computer Vision and Pattern Recognition · Computer Science 2024-02-01 Tien Do , Sudipta N. Sinha
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