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Parallel coordinate plots (PCP) are a useful tool in exploratory data analysis of high-dimensional numerical data. The use of PCPs is limited when working with categorical variables or a mix of categorical and continuous variables. In this…

Graphics · Computer Science 2020-09-29 Yawei Ge , Heike Hofmann

Cities play a pivotal role in human development and sustainability, yet studying them presents significant challenges due to the vast scale and complexity of spatial-temporal data. One such challenge is the need to uncover universal urban…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-04 Zhenhui Li , Hongwei Zhang , Kan Wu

Cross-View Geo-Localisation within urban regions is challenging in part due to the lack of geo-spatial structuring within current datasets and techniques. We propose utilising graph representations to model sequences of local observations…

Computer Vision and Pattern Recognition · Computer Science 2024-12-04 Tavis Shore , Oscar Mendez , Simon Hadfield

In this paper we propose a novel method for image matching based on dense local features and tailored for visual geolocalization. Dense local features matching is robust against changes in illumination and occlusions, but not against…

Computer Vision and Pattern Recognition · Computer Science 2021-09-22 Gabriele Berton , Carlo Masone , Valerio Paolicelli , Barbara Caputo

Dimensionality reduction techniques are fundamental for analyzing and visualizing high-dimensional data. With established methods like t-SNE and PCA presenting a trade-off between representational power and interpretability. This paper…

Machine Learning · Computer Science 2025-04-25 Erik Bergh

Historical geologic maps contain rich geospatial information, such as rock units, faults, folds, and bedding planes, that is critical for assessing mineral resources essential to renewable energy, electric vehicles, and national security.…

Computer Vision and Pattern Recognition · Computer Science 2025-06-23 Weiwei Duan , Michael P. Gerlek , Steven N. Minton , Craig A. Knoblock , Fandel Lin , Theresa Chen , Leeje Jang , Sofia Kirsanova , Zekun Li , Yijun Lin , Yao-Yi Chiang

We study the Equitable Connected Partition (ECP for short) problem, where we are given a graph G=(V,E) together with an integer p, and our goal is to find a partition of V into p parts such that each part induces a connected sub-graph of G…

Data Structures and Algorithms · Computer Science 2024-05-01 Václav Blažej , Dušan Knop , Jan Pokorný , Šimon Schierreich

Multi-modal data fusion has recently been shown promise in classification tasks in remote sensing. Optical data and radar data, two important yet intrinsically different data sources, are attracting more and more attention for potential…

Computer Vision and Pattern Recognition · Computer Science 2020-01-08 Jingliang Hu , Danfeng Hong , Xiao Xiang Zhu

Acquiring plausible pathways on high-dimensional structural distributions is beneficial in several domains. For example, in the drug discovery field, a protein conformational pathway, i.e. a highly probable sequence of protein structural…

Quantitative Methods · Quantitative Biology 2025-06-04 Ziyad Oulhaj , Yoshiyuki Ishii , Kento Ohga , Kimihiro Yamazaki , Mutsuyo Wada , Yuhei Umeda , Takashi Kato , Yuichiro Wada , Hiroaki Kurihara

We propose a novel optimization algorithm for continuous functions using geodesics and contours under conformal mapping.The algorithm can find multiple optima by first following a geodesic curve to a local optimum then traveling to the next…

Computation · Statistics 2015-04-15 Ricky Fok , Aijun An , Xiaogong Wang

The growing use of probe vehicles generates a huge number of GNSS data. Limited by the satellite positioning technology, further improving the accuracy of map-matching is challenging work, especially for low-frequency trajectories. When…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Jie Fang , Xiongwei Wu , Dianchao Lin , Mengyun Xu , Huahua Wu , Xuesong Wu , Ting Bi

High-dimensional classification and feature selection tasks are ubiquitous with the recent advancement in data acquisition technology. In several application areas such as biology, genomics and proteomics, the data are often functional in…

Machine Learning · Statistics 2021-09-30 W Yu , S Wade , H D Bondell , L Azizi

We present new findings in regard to data analysis in very high dimensional spaces. We use dimensionalities up to around one million. A particular benefit of Correspondence Analysis is its suitability for carrying out an orthonormal…

Machine Learning · Statistics 2015-12-15 Fionn Murtagh

Robust navigation in urban environments has received a considerable amount of both academic and commercial interest over recent years. This is primarily due to large commercial organizations such as Google and Uber stepping into the…

Robotics · Computer Science 2018-06-26 Ryan M. Watson , Jason N. Gross

Graph similarity is critical in graph-related tasks such as graph retrieval, where metrics like maximum common subgraph (MCS) and graph edit distance (GED) are commonly used. However, exact computations of these metrics are known to be…

Machine Learning · Computer Science 2025-10-02 Zhouyang Liu , Yixin Chen , Ning Liu , Jiezhong He , Dongsheng Li

Recent advancements in graph representation learning have led to the emergence of condensed encodings that capture the main properties of a graph. However, even though these abstract representations are powerful for downstream tasks, they…

Machine Learning · Computer Science 2020-02-21 Cristian Bodnar , Cătălina Cangea , Pietro Liò

Background: Topological data analysis (TDA) has exploded as a tool for analyzing and making sense of high dimensional datasets across a variety of fields. Mapper is a tool from TDA that captures low-dimensional structure from…

General Topology · Mathematics 2025-12-04 Brittany Story , Zhibin Zhou , Ramesh Srinivasan , Scott Kerick , David Boothe , Piotr J. Franaszczuk

Navigation is one of the most widely used applications of the Location Based Services (LBS) which have become part of our digitally informed daily lives. Navigation services, however, have generally been designed for drivers rather than…

Human-Computer Interaction · Computer Science 2020-11-10 Anahid Basiri

Knowledge graph representation learning approaches provide a mapping between symbolic knowledge in the form of triples in a knowledge graph (KG) and their feature vectors. Knowledge graph embedding (KGE) models often represent relations in…

Machine Learning · Computer Science 2025-07-18 Kossi Amouzouvi , Bowen Song , Andrea Coletta , Luigi Bellomarini , Jens Lehmann , Sahar Vahdati

The ensemble smoother with multiple data assimilation (ES-MDA) is becoming a popular assisted history matching method. In its standard form, the method requires the specification of the number of iterations in advance. If the selected…

Numerical Analysis · Mathematics 2024-06-11 Alexandre A. Emerick