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Recent research has established sufficient conditions for finite mixture models to be identifiable from grouped observations. These conditions allow the mixture components to be nonparametric and have substantial (or even total) overlap.…

Machine Learning · Statistics 2020-06-16 Alexander Ritchie , Robert A. Vandermeulen , Clayton Scott

The similarity between trajectory patterns in clustering has played an important role in discovering movement behaviour of different groups of mobile objects. Several approaches have been proposed to measure the similarity between sequences…

Artificial Intelligence · Computer Science 2012-06-08 Thuy Van T. Duong , Dinh Que Tran , Cong Hung Tran

The online monitoring data in distribution networks contain rich information on the running states of the networks. By leveraging the data, this paper proposes a spatio-temporal correlation analysis approach for anomaly detection and…

Signal Processing · Electrical Eng. & Systems 2019-07-23 Xin Shi , Robert Qiu , Zenan Ling , Fan Yang , Haosen Yang , Xing He

A fundamental task in statistical learning is quantifying the joint dependence or association between two continuous random variables. We introduce a novel, fully non-parametric measure that assesses the degree of association between…

Agreement coefficients provide a fundamental framework for quantifying the concordance between two or more measurement methods applied to the same continuous variable. Unlike correlation, which measures the strength of a linear…

Methodology · Statistics 2026-04-28 Ronny Vallejos

In robotics, motion capture systems have been widely used to measure the accuracy of localization algorithms. Moreover, this infrastructure can also be used for other computer vision tasks, such as the evaluation of Visual (-Inertial) SLAM…

Robotics · Computer Science 2024-03-05 Junlin Song , Antoine Richard , Miguel Olivares-Mendez

Conformal prediction is an uncertainty quantification method that constructs a prediction set for a previously unseen datum, ensuring the true label is included with a predetermined coverage probability. Adaptive conformal prediction has…

Machine Learning · Computer Science 2024-11-07 Erfan Hajihashemi , Yanning Shen

In this paper, a first sample-based formulation of the recently considered population observers, or ensemble observers, which estimate the state distribution of dynamic populations from measurements of the output distribution is…

Optimization and Control · Mathematics 2017-12-01 Shen Zeng

We propose a statistical framework to quantify location and co-location associations of economic activities using information-theoretic measures. We relate the resulting measures to existing measures of revealed comparative advantage,…

Applications · Statistics 2020-04-23 Alje van Dam , Andres Gomez-Lievano , Frank Neffke , Koen Frenken

In our contemporary era, meteorological weather forecasts increasingly incorporate ensemble predictions of visibility - a parameter of great importance in aviation, maritime navigation, and air quality assessment, with direct implications…

Applications · Statistics 2025-08-22 Mária Lakatos , Sándor Baran

A deterministic multiscale toy model is studied in which a chaotic fast subsystem triggers rare transitions between slow regimes, akin to weather or climate regimes. Using homogenization techniques, a reduced stochastic parametrization…

Data Analysis, Statistics and Probability · Physics 2012-04-11 Lewis Mitchell , Georg A. Gottwald

Cohesive Distributed Satellite Systems (CDSS) is a key enabling technology for the future of remote sensing and communication missions. However, they have to meet strict synchronization requirements before their use is generalized. When…

With the rapid advances of data acquisition techniques, spatio-temporal data are becoming increasingly abundant in a diverse array of disciplines. Here we develop spatio-temporal regression methodology for analyzing large amounts of…

Methodology · Statistics 2021-12-01 Ting Fung Ma , Fangfang Wang , Jun Zhu , Anthony R. Ives , Katarzyna E. Lewińska

A polarimetric synthetic aperture radar (PolSAR) system, which uses multiple images acquired with different polarizations in both transmission and reception, has the potential to improve the description and interpretation of the observed…

Signal Processing · Electrical Eng. & Systems 2025-07-08 Dehbia Hanis , Luca Pallotta , Augusto Aubry , Aichouche Belhadj-Aissa , Antonio De Maio

Joint measurements of non-commuting observables are characterized by unavoidable measurement uncertainties that can be described in terms of the error statistics for input states with well-defined values for the target observables. However,…

Quantum Physics · Physics 2015-10-28 Shota Kino , Taiki Nii , Holger F. Hofmann

Predicting the response at an unobserved location is a fundamental problem in spatial statistics. Given the difficulty in modeling spatial dependence, especially in non-stationary cases, model-based prediction intervals are at risk of…

Methodology · Statistics 2025-07-09 Huiying Mao , Ryan Martin , Brian Reich

We consider a power-constrained sensor network, consisting of multiple sensor nodes and a fusion center (FC), that is deployed for the purpose of estimating a common random parameter of interest. In contrast to the distributed framework,…

Information Theory · Computer Science 2012-05-16 Swarnendu Kar , Pramod K. Varshney

We consider the use of multiple co-located satellites to improve the spectral efficiency of broadcast transmissions. In particular, we assume that two satellites transmit on overlapping geographical coverage areas, with overlapping…

Information Theory · Computer Science 2016-11-17 Andrea Modenini , Alessandro Ugolini , Amina Piemontese , Giulio Colavolpe

We introduce a data assimilation strategy aimed at accurately capturing key non-Gaussian structures in probability distributions using a small ensemble size. A major challenge in statistical forecasting of nonlinearly coupled multiscale…

Numerical Analysis · Mathematics 2025-04-01 Di Qi , Jian-Guo Liu

The vast majority of existing Distributed Computing literature about mobile robotic swarms considers computability issues: characterizing the set of system hypotheses that enables problem solvability. By contrast, the focus of this work is…

Computational Geometry · Computer Science 2021-05-21 Adam Heriban , Sébastien Tixeuil
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