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1. Spatial memory plays a role in the way animals perceive their environments, resulting in memory-informed movement patterns that are observable to ecologists. Developing mathematical techniques to understand how animals use memory in…

Quantitative Methods · Quantitative Biology 2022-02-17 Peter R. Thompson , Andrew E. Derocher , Mark A. Edwards , Mark A. Lewis

The two dominant approaches for the analysis of species-habitat associations in animals have been shown to reach divergent conclusions. Models fitted from the viewpoint of an individual (step selection functions), once scaled up, do not…

Quantitative Methods · Quantitative Biology 2018-06-27 Théo Michelot , Paul G. Blackwell , Jason Matthiopoulos

Line transect sampling is a method used to estimate wildlife populations, with the resulting data often grouped in intervals. Estimating the density from grouped data can be challenging. In this paper we propose a kernel density estimator…

Applications · Statistics 2010-11-10 Woncheol Jang , Ji Meng Loh

A state estimator is derived for an agent with the ability to measure single ranges to fixed points in its environment, and equipped with an accelerometer and a rate gyroscope. The state estimator makes no agent-specific assumptions, and…

Robotics · Computer Science 2018-04-27 Saman Fahandezh-Saadi , Mark W. Mueller

Geographic ranges of communities of species evolve in response to environmental, ecological, and evolutionary forces. Understanding the effects of these forces on species' range dynamics is a major goal of spatial ecology. Previous…

Populations and Evolution · Quantitative Biology 2022-02-02 Farshad Shirani , Judith R. Miller

Consider a geometric range space $(X,\c{A})$ where each data point $x \in X$ has two or more values (say $r(x)$ and $b(x)$). Also consider a function $\Phi(A)$ defined on any subset $A \in (X,\c{A})$ on the sum of values in that range e.g.,…

Computational Geometry · Computer Science 2018-10-01 Michael Matheny , Jeff M. Phillips

Two complementary techniques for analyzing search spaces are proposed: (i) an algorithm to detect search points with potential to be local optima; and (ii) a slightly adjusted Wang-Landau sampling algorithm to explore larger search spaces.…

Neural and Evolutionary Computing · Computer Science 2012-06-26 Susan Khor

In empirical studies of random walks, continuous trajectories of animals or individuals are usually sampled over a finite number of points in space and time. It is however unclear how this partial observation affects the measured…

Physics and Society · Physics 2018-03-13 Riccardo Gallotti , Rémi Louf , Jean-Marc Luck , Marc Barthelemy

Reinforcement learning (RL) is concerned with how intelligence agents take actions in a given environment to maximize the cumulative reward they receive. In healthcare, applying RL algorithms could assist patients in improving their health…

Machine Learning · Statistics 2025-04-21 Chengchun Shi

In this paper, we propose a general graph optimization based framework for localization, which can accommodate different types of measurements with varying measurement time intervals. Special emphasis will be on range-based localization.…

Robotics · Computer Science 2020-01-27 Xu Fang , Chen Wang , Thien-Minh Nguyen , Lihua Xie

We provide methods to validate and compare sensor outputs, or inference algorithms applied to sensor data, by adapting statistical scoring rules. The reported output should either be in the form of a prediction interval or of a parameter…

Data Analysis, Statistics and Probability · Physics 2015-07-07 A. D. Martin , T. C. A. Molteno , M. Parry

Due to the fast-growing volume of text documents and reviews in recent years, current analyzing techniques are not competent enough to meet the users' needs. Using feature selection techniques not only support to understand data better but…

Information Retrieval · Computer Science 2020-04-29 Amir Javadpour , Samira Rezaei , Kuan-Ching Li , Guojun Wang

Recent research highlighted the scaling property of human and animal mobility. An interesting issue is that the exponents of scaling law for animals and humans in different situations are quite different. This paper proposes a general…

Biological Physics · Physics 2011-11-01 Yanqing Hu , Jiang Zhang , Di Huan , Zengru Di

The Morris Water Maze is commonly used in behavioural neuroscience for the study of spatial learning with rodents. Over the years, various methods of analysing rodent data collected in this task have been proposed. These methods span from…

This paper presents a method to improve the localization accuracy of robots operating in a range-based localization network. The method is favorable especially when the robots operate in harsh environments where the access to a robust and…

Robotics · Computer Science 2018-04-27 Saman Fahandezh-Saadi , Mark W. Mueller

Quantifying extra functions, herein referred to as outcome functions, over optimal solutions of an optimization problem can provide decision makers with additional information on a system. This bears more importance when the optimization…

Optimization and Control · Mathematics 2020-12-17 Mohsen Mohammadi , Monica Gentili

Any organism is embedded in an environment that changes over time. The timescale for and statistics of environmental change, the precision with which the organism can detect its environment, and the costs and benefits of particular protein…

Quantitative Methods · Quantitative Biology 2023-07-19 David A. Sivak , Matt Thomson

We study a simple model of a forager as a walk that modifies a relaxing substrate. Within it simplicity, this provides an insight on a number of relevant and non-intuitive facts. Even without memory of the good places to feed and no…

Adaptation and Self-Organizing Systems · Physics 2015-06-18 Guillermo Abramson , Marcelo N Kuperman , Juan M Morales , Joel C Miller

In clinical trials and other applications, we often see regions of the feature space that appear to exhibit interesting behaviour, but it is unclear whether these observed phenomena are reflected at the population level. Focusing on a…

Statistics Theory · Mathematics 2023-09-21 Henry W. J. Reeve , Timothy I. Cannings , Richard J. Samworth

The objective of this study is to enable fast and safe manipulation tasks in home environments. Specifically, we aim to develop a system that can recognize its surroundings and identify target objects while in motion, enabling it to plan…

Robotics · Computer Science 2026-02-25 Keisuke Takeshita , Takahiro Yamazaki , Tomohiro Ono , Takashi Yamamoto