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Spatiotemporal traffic time series (e.g., traffic volume/speed) collected from sensing systems are often incomplete with considerable corruption and large amounts of missing values, preventing users from harnessing the full power of the…

Machine Learning · Computer Science 2023-01-18 Xinyu Chen , Mengying Lei , Nicolas Saunier , Lijun Sun

We develop two statistical models for space-time abundance data based on a stochastic underlying continuous individual movement. In contrast to current models for abundance in statistical ecology, our models exploit the explicit connection…

Applications · Statistics 2024-09-24 Ricardo Carrizo Vergara , Marc Kéry , Trevor Hefley

We develop lagged Metropolis-Hastings walk for sampling from simple undirected graphs according to given stationary sampling probabilities. We explain how to apply the technique together with designed graphs for sampling of units-in-space.…

Methodology · Statistics 2022-05-16 Li-Chun Zhang

We consider a new model of a branching random walk on a multidimensional lattice with continuous time and one source of particle reproduction and death, as well as an infinite number of sources in which, in addition to the walk, only…

Probability · Mathematics 2023-02-14 E. Filichkina , E. Yarovaya

In this article, we propose a sampling-based motion planning algorithm equipped with an information-theoretic convergence criterion for incremental informative motion planning. The proposed approach allows dense map representations and…

Robotics · Computer Science 2019-05-24 Maani Ghaffari Jadidi , Jaime Valls Miro , Gamini Dissanayake

The analysis of animal movement has gained attention recently. New continuous-time models and statistical methods have been developed to estimate some sets related to their movements, such as the home-range and the core-area among others,…

Statistics Theory · Mathematics 2023-09-20 Alejandro Cholaquidis , Ricardo Fraiman , Manuel Hernandez-Banadik

Sampling based methods are widely used for robotic motion planning. Traditionally, these samples are drawn from probabilistic ( or deterministic ) distributions to cover the state space uniformly. Despite being probabilistically complete,…

Robotics · Computer Science 2020-06-09 Rajat Kumar Jenamani , Rahul Kumar , Parth Mall , Kushal Kedia

Data collected from arrays of sensors are essential for informed decision-making in various systems. However, the presence of anomalies can compromise the accuracy and reliability of insights drawn from the collected data or information…

Applications · Statistics 2024-03-19 Katie Buchhorn , Kerrie Mengersen , Edgar Santos-Fernandez , James McGree

In vitro cell biology experiments are routinely used to characterize cell migration properties under various experimental conditions. These experiments can be interpreted using lattice-based random walk models to provide insight into…

Applied Physics · Physics 2024-06-25 Yihan Liu , David J Warne , Matthew J Simpson

Parameterized movement primitives have been extensively used for imitation learning of robotic tasks. However, the high-dimensionality of the parameter space hinders the improvement of such primitives in the reinforcement learning (RL)…

Robotics · Computer Science 2022-02-14 Samuele Tosatto , Georgia Chalvatzaki , Jan Peters

This paper introduces a new Importance Sampling scheme, called Adaptive Twisted Importance Sampling, which is adequate for the improved estimation of rare event probabilities in he range of moderate deviations pertaining to the empirical…

Computation · Statistics 2009-10-13 Michel Broniatowski , Ya'Acov Ritov

Thanks to recent technological advances, it is now possible to track with an unprecedented precision and for long periods of time the movement patterns of many living organisms in their habitat. The increasing amount of data available on…

Populations and Evolution · Quantitative Biology 2015-05-19 Denis Boyer , Peter D. Walsh

We propose novel optimal designs for longitudinal data for the common situation where the resources for longitudinal data collection are limited, by determining the optimal locations in time where measurements should be taken. As for all…

Methodology · Statistics 2016-04-20 Hao Ji , Hans-Georg Müller

We study here the social network generated by the asynchronous visits, to a fixed set of sites, of mobile agents modelled as independent random walks on the plane lattice. The social network is constructed by assuming that a group of agents…

Physics and Society · Physics 2025-11-17 Paolo Cermelli , Silvia Marchese , Laura Sacerdote , Cristina Zucca

In this paper, we study the design and analysis of optimal detection scheme for sensors that are deployed to monitor the change in the environment and are powered by the energy harvested from the environment. In this type of applications,…

Information Theory · Computer Science 2015-06-15 Jun Geng , Lifeng Lai

Obtaining reliable and precise estimates of wildlife species abundance and distribution is essential for the conservation and management of animal populations and natural reserves. Spatial capture-recapture (SCR) models provide estimates of…

Improved communication systems, shrinking battery sizes and the price drop of tracking devices have led to an increasing availability of trajectory tracking data. These data are often analyzed to understand animal behavior. In this work, we…

Applications · Statistics 2019-09-12 Gianluca Mastrantonio , Clara Grazian , Sara Mancinelli , Enrico Bibbona

Estimating characteristics of large graphs via sampling is a vital part of the study of complex networks. Current sampling methods such as (independent) random vertex and random walks are useful but have drawbacks. Random vertex sampling…

Data Structures and Algorithms · Computer Science 2010-09-08 Bruno Ribeiro , Don Towsley

Statistical modeling of animal movement is of critical importance. The continuous trajectory of an animal's movements is only observed at discrete, often irregularly spaced time points. Most existing models cannot handle the unequal…

Methodology · Statistics 2021-08-13 Chaoran Hu , Mark Elbroch , Thomas Meyer , Vladimir Pozdnyakov , Jun Yan

Statisticians generally use ordinary least squares to minimize the random error in a subject response with respect to independent explanatory variable. However, Wooten shows illustrates how ordinary least squares can be used to minimize the…

Methodology · Statistics 2016-03-28 Rebecca D. Wooten