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This paper reports on ongoing research investigating more expressive approaches to spatial-temporal trajectory clustering. Spatial-temporal data is increasingly becoming universal as a result of widespread use of GPS and mobile devices,…

Databases · Computer Science 2017-12-12 Ivens Portugal , Paulo Alencar , Donald Cowan

This review article focuses on regularised estimation procedures applicable to geostatistical and spatial econometric models. These methods are particularly relevant in the case of big geospatial data for dimensionality reduction or model…

Methodology · Statistics 2026-04-30 Philipp Otto , Alessandro Fassò , Paolo Maranzano

In this paper, we study a functional SAR model in which explanatory variables are sampling points of a continuous-time process. We propose a procedure for the maximum likelihood estimation for the spatial parameter dependence and the…

Statistics Theory · Mathematics 2016-09-14 Wilmer Pineda-Ríos , Ramón Giraldo

Standard multivariate analysis methods aim to identify and summarize the main structures in large data sets containing the description of a number of observations by several variables. In many cases, spatial information is also available…

Applications · Statistics 2012-03-01 Stéphane Dray , Thibaut Jombart

The analysis of multivariate functional curves has the potential to yield important scientific discoveries in domains such as healthcare, medicine, economics and social sciences. However, it is common for real-world settings to present…

Methodology · Statistics 2024-07-23 Tui Nolan , Sylvia Richardson , Hélène Ruffieux

Assume that several competing methods are available to estimate a parameter in a given statistical model. The aim of estimator averaging is to provide a new estimator, built as a linear combination of the initial estimators, that achieves…

Statistics Theory · Mathematics 2017-03-08 Frédéric Lavancier , P Rochet

The growing rate of public space CCTV installations has generated a need for automated methods for exploiting video surveillance data including scene understanding, query, behaviour annotation and summarization. For this reason, extensive…

Computer Vision and Pattern Recognition · Computer Science 2016-11-17 Xun Xu , Timothy Hospedales , Shaogang Gong

Statistical depth, a commonly used analytic tool in non-parametric statistics, has been extensively studied for multivariate and functional observations over the past few decades. Although various forms of depth were introduced, they are…

Methodology · Statistics 2019-09-30 Weilong Zhao , Zishen Xu , Yun Yang , Wei Wu

Functions with singularities are notoriously difficult to approximate with conventional approximation schemes. In computational applications, they are often resolved with low-order piecewise polynomials, multilevel schemes, or other types…

Numerical Analysis · Mathematics 2024-07-30 Nicolas Boullé , Astrid Herremans , Daan Huybrechs

We consider inference for misaligned multivariate functional data that represents the same underlying curve, but where the functional samples have systematic differences in shape. In this paper we introduce a new class of generally…

Applications · Statistics 2023-01-23 Niels Lundtorp Olsen , Bo Markussen , Lars Lau Rakêt

Gaussian processes occupy one of the leading places in modern statistics and probability theory due to their importance and a wealth of strong results. The common use of Gaussian processes is in connection with problems related to…

Statistics Theory · Mathematics 2023-02-01 Zexun Chen , Jun Fan , Kuo Wang

This position paper suggests that progress with automatic summarising demands a better research methodology and a carefully focussed research strategy. In order to develop effective procedures it is necessary to identify and respond to the…

cmp-lg · Computer Science 2007-05-23 Karen Sparck Jones

Functional data analysis offers a diverse toolkit of statistical methods tailored for analyzing samples of real-valued random functions. Recently, samples of time-varying random objects, such as time-varying networks, have been increasingly…

Methodology · Statistics 2025-03-10 Jiazhen Xu , Andrew T. A. Wood , Tao Zou

Point processes in time have a wide range of applications that include the claims arrival process in insurance or the analysis of queues in operations research. Due to advances in technology, such samples of point processes are increasingly…

Methodology · Statistics 2021-09-14 Álvaro Gajardo , Hans-Georg Müller

This paper proposes a novel graphical model, termed the spatial dependence graph model, which captures the global dependence structure of different events that occur randomly in space. In the spatial dependence graph model, the edge set is…

Methodology · Statistics 2016-07-26 Matthias Eckardt

We propose a new class of parameterizations for spatio-temporal point processes which leverage Neural ODEs as a computational method and enable flexible, high-fidelity models of discrete events that are localized in continuous time and…

Machine Learning · Computer Science 2021-03-19 Ricky T. Q. Chen , Brandon Amos , Maximilian Nickel

Value-based static analysis techniques express computed program invariants as logical formula over program variables. Researchers and practitioners use these invariants to aid in software engineering and verification tasks. When selecting…

Logic in Computer Science · Computer Science 2024-04-26 Kenny Ballou , Elena Sherman

This paper develops methodology for local sensitivity analysis based on directional derivatives associated with spatial processes. Formal gradient analysis for spatial processes was elaborated in previous papers, focusing on distribution…

Statistics Theory · Mathematics 2015-03-31 Maria A. Terres , Alan E. Gelfand

In spite of the recent surge of interest in quantile regression, joint estimation of linear quantile planes remains a great challenge in statistics and econometrics. We propose a novel parametrization that characterizes any collection of…

Methodology · Statistics 2015-07-14 Yun Yang , Surya Tokdar

In the era of information explosion, spatio-temporal data mining serves as a critical part of urban management. Considering the various fields demanding attention, e.g., traffic state, human activity, and social event, predicting multiple…

Artificial Intelligence · Computer Science 2023-09-19 Zijian Zhang , Xiangyu Zhao , Qidong Liu , Chunxu Zhang , Qian Ma , Wanyu Wang , Hongwei Zhao , Yiqi Wang , Zitao Liu
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