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We study the maximum score statistic to detect and estimate local signals in the form of change-points in the level, slope, or other property of a sequence of observations, and to segment the sequence when there appear to be multiple…

Statistics Theory · Mathematics 2021-11-03 Xiao Fang , David Siegmund

Sensitivity analyses of simulation ensembles determine how simulation parameters influence the simulation's outcome. Commonly, one global numerical sensitivity value is computed per simulation parameter. However, when considering 3D spatial…

Human-Computer Interaction · Computer Science 2024-08-08 Marina Evers , Simon Leistikow , Hennes Rave , Lars Linsen

We present the first neural network that has learned to compactly represent and can efficiently reconstruct the statistical dependencies between the values of physical variables at different spatial locations in large 3D simulation…

Computer Vision and Pattern Recognition · Computer Science 2024-03-28 Fatemeh Farokhmanesh , Kevin Höhlein , Christoph Neuhauser , Tobias Necker , Martin Weissmann , Takemasa Miyoshi , Rüdiger Westermann

Designers often create visualizations to achieve specific high-level analytical or communication goals. These goals require people to naturally extract complex, contextualized, and interconnected patterns in data. While limited prior work…

Human-Computer Interaction · Computer Science 2024-02-27 Ghulam Jilani Quadri , Arran Zeyu Wang , Zhehao Wang , Jennifer Adorno , Paul Rosen , Danielle Albers Szafir

Spatial scan statistics are well-known methods for cluster detection and are widely used in epidemiology and medical studies for detecting and evaluating the statistical significance of disease hotspots. For the sake of simplicity, the…

Methodology · Statistics 2019-11-25 Mohamed-Salem Ahmed , Lionel Cucala , Michael Genin

Detecting spatial patterns is fundamental to scientific discovery, yet current methods lack statistical consensus and face computational barriers when applied to large-scale spatial omics datasets. We unify major approaches through a single…

Applications · Statistics 2026-02-04 Jiayu Su , Jun Hou Fung , Haoyu Wang , Dian Yang , David A. Knowles , Raul Rabadan

Observing the relationship between two or more variables over space and time is essential in many domains. For instance, looking, for different countries, at the evolution of both the life expectancy at birth and the fertility rate will…

Human-Computer Interaction · Computer Science 2019-10-16 Vanessa Peña-Araya , Emmanuel Pietriga , Anastasia Bezerianos

Natural language and visualization are being increasingly deployed together for supporting data analysis in different ways, from multimodal interaction to enriched data summaries and insights. Yet, researchers still lack systematic…

Human-Computer Interaction · Computer Science 2020-09-30 Rafael Henkin , Cagatay Turkay

Spatial documentation is exponentially increasing given the availability of Big IoT Data, enabled by the devices miniaturization and data storage capacity. Bayesian spatial statistics is a useful statistical tool to determine the dependence…

Methodology · Statistics 2020-10-01 Francisco Louzada , Diego C. Nascimento , Osafu Augustine Egbon

Spatial cluster analysis, the detection of localized patterns of similarity in geospatial data, has a wide-range of applications for scientific discovery and practical decision making. One way to detect spatial clusters is by using local…

Human-Computer Interaction · Computer Science 2024-04-10 Lee Mason , Blánaid Hicks , Jonas S. Almeida

Investigating relationships between variables in multi-dimensional data sets is a common task for data analysts and engineers. More specifically, it is often valuable to understand which ranges of which input variables lead to particular…

Machine Learning · Computer Science 2020-09-14 Johannes Knittel , Andres Lalama , Steffen Koch , Thomas Ertl

Urban analytics utilizes extensive datasets with diverse urban information to simulate, predict trends, and uncover complex patterns within cities. While these data enables advanced analysis, it also presents challenges due to its…

Machine Learning · Computer Science 2025-09-09 Ximena Pocco , Waqar Hassan , Karelia Salinas , Vladimir Molchanov , Luis G. Nonato

Machine learning is gaining popularity in a broad range of areas working with geographic data, such as ecology or atmospheric sciences. Here, data often exhibit spatial effects, which can be difficult to learn for neural networks. In this…

Machine Learning · Computer Science 2021-08-20 Konstantin Klemmer , Daniel B. Neill

The Morse-Smale complex of a function $f$ decomposes the sample space into cells where $f$ is increasing or decreasing. When applied to nonparametric density estimation and regression, it provides a way to represent, visualize, and compare…

Statistics Theory · Mathematics 2017-04-05 Yen-Chi Chen , Christopher R. Genovese , Larry Wasserman

Understanding how local environments influence individual behaviors, such as voting patterns or suicidal tendencies, is crucial in social science to reveal and reduce spatial disparities and promote social well-being. With the increasing…

Human-Computer Interaction · Computer Science 2023-09-21 Yue Yu , Yifang Wang , Qisen Yang , Di Weng , Yongjun Zhang , Xiaogang Wu , Yingcai Wu , Huamin Qu

The classical regular and partial autocorrelation functions are powerful tools for stationary time series modelling and analysis. However, it is increasingly recognized that many time series are not stationary and the use of classical…

Statistics Theory · Mathematics 2021-10-27 Rebecca Killick , Marina I. Knight , Guy P. Nason , Idris A. Eckley

Spatial dependence, referring to the correlation between variable values observed at different geographic locations, is one of the most fundamental characteristics of spatial data. The presence of spatial dependence violates the classical…

Physics and Society · Physics 2025-06-23 Chuan Chen , Peng Luo

Morse complexes are gradient-based topological descriptors with close connections to Morse theory. They are widely applicable in scientific visualization as they serve as important abstractions for gaining insights into the topology of…

Graphics · Computer Science 2019-12-16 Tushar Athawale , Dan Maljovec , Chris R. Johnson , Valerio Pascucci , Bei Wang

In order to be useful, visualizations need to be interpretable. This paper uses a user-based approach to combine and assess quality measures in order to better model user preferences. Results show that cluster separability measures are…

Machine Learning · Statistics 2016-11-21 Adrien Bibal , Benoit Frénay

Moran's index and Getis-Ord,s indices are important statistical measures of spatial autocorrelation analysis. Each of them has its own function and scope of application. However, the association of Moran index with Getis-Ord index is not…

Physics and Society · Physics 2025-08-28 Yanguang Chen