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Dimension reduction and data visualization aim to project a high-dimensional dataset to a low-dimensional space while capturing the intrinsic structures in the data. It is an indispensable part of modern data science, and many dimensional…

Machine Learning · Statistics 2022-10-26 Rong Ma , Eric D. Sun , James Zou

We consider a set of probabilistic functions of some input variables as a representation of the inputs. We present bounds on how informative a representation is about input data. We extend these bounds to hierarchical representations so…

Machine Learning · Statistics 2015-02-03 Greg Ver Steeg , Aram Galstyan

We test the hypothesis whether transforming a data matrix into a 3D shaded surface or even a volumetric display can be more appealing to humans than a scatterplot since it makes direct use of the innate 3D scene understanding capabilities…

Human-Computer Interaction · Computer Science 2019-11-19 Bing Wang , Klaus Mueller

We are surrounded by overwhelming big data, which brings substantial advances but meanwhile poses many challenges. Geospatial big data comprises a big portion of big data, and is essential and powerful for decision-making if being utilized…

Dimensionality reduction (DR) methods are commonly used for analyzing and visualizing multidimensional data. However, when data is a live streaming feed, conventional DR methods cannot be directly used because of their computational…

Graphics · Computer Science 2019-10-16 Takanori Fujiwara , Jia-Kai Chou , Shilpika , Panpan Xu , Liu Ren , Kwan-Liu Ma

A GraphMaps is a system that visualizes a graph using zoom levels, which is similar to a geographic map visualization. GraphMaps reveals the structural properties of the graph and enables users to explore the graph in a natural way by using…

Computational Geometry · Computer Science 2018-08-14 Debajyoti Mondal , Lev Nachmanson

3D spatial perception is the problem of building and maintaining an actionable and persistent representation of the environment in real-time using sensor data and prior knowledge. Despite the fast-paced progress in robot perception, most…

Robotics · Computer Science 2023-05-15 Nathan Hughes , Yun Chang , Siyi Hu , Rajat Talak , Rumaisa Abdulhai , Jared Strader , Luca Carlone

With the increasing availability of high-dimensional data, analysts often rely on exploratory data analysis to understand complex data sets. A key approach to exploring such data is dimensionality reduction, which embeds high-dimensional…

Machine Learning · Computer Science 2024-12-17 Pavlin G. Poličar , Blaž Zupan

We present VMap, a map-like rectangular space-filling visualization, to perform vertex-centric graph exploration. Existing visualizations have limited support for quality optimization among rectangular aspect ratios, vertex-edge…

Graphics · Computer Science 2023-06-02 Jiayi Xu , Han-Wei Shen

In robot navigation, generalizing quickly to unseen environments is essential. Hierarchical methods inspired by human navigation have been proposed, typically consisting of a high-level landmark proposer and a low-level controller. However,…

Robotics · Computer Science 2021-06-08 Chengguang Xu , Christopher Amato , Lawson L. S. Wong

Dimensional analysis provides a universal framework for reducing physical complexity and reveal inherent laws. However, its application to high-dimensional systems still generates redundant dimensionless parameters, making it challenging to…

Fluid Dynamics · Physics 2025-07-25 Mingkun Xia , Haitao Lin , Weiwei Zhang

Algorithms for laying out large graphs have seen significant progress in the past decade. However, browsing large graphs remains a challenge. Rendering thousands of graphical elements at once often results in a cluttered image, and…

The interactive visual analysis of set-typed data, i.e., data with attributes that are of type set, is a rewarding area of research and applications. Valuable prior work has contributed solutions that enable the study of such data with…

Graphics · Computer Science 2025-08-04 Kresimir Matkovic , Rainer Splechtna , Denis Gracanin , Helwig Hauser

High-dimensional transfer function design is widely used to provide appropriate data classification for direct volume rendering of various datasets. However, its design is a complicated task. Parallel coordinate plot (PCP), as a powerful…

Graphics · Computer Science 2013-11-05 Xin Zhao

We consider the problem of representing multidimensional data where the domain of each dimension is organized hierarchically, and the queries require summary information at a different node in the hierarchy of each dimension. This is the…

Data Structures and Algorithms · Computer Science 2016-12-14 Nieves R. Brisaboa , Ana Cerdeira-Pena , Narciso López-López , Gonzalo Navarro , Miguel R. Penabad , Fernando Silva-Coira

Urbanization has amplified the importance of three-dimensional structures in urban environments for a wide range of phenomena that are of significant interest to diverse stakeholders. With the growing availability of 3D urban data, numerous…

Human-Computer Interaction · Computer Science 2024-07-02 Fabio Miranda , Thomas Ortner , Gustavo Moreira , Maryam Hosseini , Milena Vuckovic , Filip Biljecki , Claudio Silva , Marcos Lage , Nivan Ferreira

High Definition (HD) maps are maps with precise definitions of road lanes with rich semantics of the traffic rules. They are critical for several key stages in an autonomous driving system, including motion forecasting and planning.…

Computer Vision and Pattern Recognition · Computer Science 2021-06-29 Lu Mi , Hang Zhao , Charlie Nash , Xiaohan Jin , Jiyang Gao , Chen Sun , Cordelia Schmid , Nir Shavit , Yuning Chai , Dragomir Anguelov

Motivation: The visualization and analysis of high-dimensional data are essential in biomedical research. There is a need for secure, scalable, and reproducible tools to facilitate data exploration and interpretation. Results: We introduce…

Quantitative Methods · Quantitative Biology 2025-04-15 Xijin Ge

The mapper algorithm is a popular tool from topological data analysis for extracting topological summaries of high-dimensional datasets. In this paper, we present Mapper Interactive, a web-based framework for the interactive analysis and…

Computational Geometry · Computer Science 2021-04-28 Youjia Zhou , Nithin Chalapathi , Archit Rathore , Yaodong Zhao , Bei Wang

Large amounts of data are available due to low-cost and high-capacity data storage equipments. We propose a data exploration/visualization method for tabular multi-dimensional, time-varying datasets to present selected items in their global…

Information Retrieval · Computer Science 2015-05-20 Nicolas Turenne