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We consider nearest neighbour spatial random permutations on $\mathbb{Z}^d$. In this case, the energy of the system is proportional the sum of all cycle lengths, and the system can be interpreted as an ensemble of edge-weighted, mutually…

Probability · Mathematics 2018-03-29 Volker Betz , Lorenzo Taggi

Many events and policies (treatments) occur at specific spatial locations, with researchers interested in their effects on nearby units. I approach the spatial treatment setting from an experimental perspective: What ideal experiment would…

Econometrics · Economics 2026-04-27 Michael Pollmann

Importance sampling of trajectories has proved a uniquely successful strategy for exploring rare dynamical behaviors of complex systems in an unbiased way. Carrying out this sampling, however, requires an ability to propose changes to…

Statistical Mechanics · Physics 2015-07-01 Todd R. Gingrich , Phillip L. Geissler

Efficient attention deployment in visual search is limited by human visual memory, yet this limitation can be offset by exploiting the environment's structure. This paper introduces a computational cognitive model that simulates how the…

Human-Computer Interaction · Computer Science 2024-09-16 Saku Sourulahti , Christian P Janssen , Jussi PP Jokinen

Although automated trucks have the potential to improve freight efficiency, reduce costs, and address driver shortages, organizing two or more trucks in a convoy has raised considerable concerns for pedestrian safety. This study conducted a…

Human-Computer Interaction · Computer Science 2026-01-07 Yun Ye , Yuan Che , Haoyang Liang , Yingheng Zhang , Pengpeng Xu

Pedestrian groups are commonly found in crowds but research on their social aspects is comparatively lacking. To fill that void in literature, we study the dynamics of collision avoidance between pedestrian groups (in particular dyads) and…

Physics and Society · Physics 2023-05-31 Adrien Gregorj , Zeynep Yücel , Francesco Zanlungo , Claudio Feliciani , Takayuki Kanda

A stochastic optimal control based model with velocity tracking and internal feedback for saccadic eye movements is presented in this paper. Recent evidence from neurophysiological studies of superior colliculus suggests the presence of a…

Systems and Control · Electrical Eng. & Systems 2021-05-28 Varsha V , Aditya Murthy , Radhakant Padhi

We experimentally demonstrate that the statistical properties of distances between pedestrians which are hindered from avoiding each other are described by the Gaussian Unitary Ensemble of random matrices. The same result has recently been…

Physics and Society · Physics 2010-02-01 Daniel Jezbera , David Kordek , Jan Kriz , Petr Seba , Petr Sroll

In a temporal network causal paths are characterized by the fact that links from a source to a target must respect the chronological order. In this article we study the causal paths structure in temporal networks of human face to face…

Social and Information Networks · Computer Science 2021-02-08 Agostino Funel

We study various self-avoiding walks (SAWs) which are constrained to lie in the upper half-plane and are subjected to a compressive force. This force is applied to the vertex or vertices of the walk located at the maximum distance above the…

Mathematical Physics · Physics 2021-12-20 Nicholas R. Beaton , Anthony J. Guttmann , Iwan Jensen , Gregory F. Lawler

Eye movements have a spatial (where people look), but also a temporal (when people look) component. Various types of visualizations have been proposed that take this spatio-temporal nature of the data into account, but it is unclear how…

Human-Computer Interaction · Computer Science 2023-09-28 Marcel Claus , Frouke Hermens , Stefano Bromuri

To explore the pedestrian motion navigation and conflict reaction mechanisms in practice, we organized a series of circle antipode experiments. In the experiments, pedestrians are uniformly initialized on the circle and required to leave…

Physics and Society · Physics 2019-04-19 Yao Xiao , Ziyou Gao , Rui Jiang , Xingang Li , Yunchao Qu

Cross-encoders are effective passage and document re-rankers but less efficient than other neural or classic retrieval models. A few previous studies have applied windowed self-attention to make cross-encoders more efficient. However, these…

Information Retrieval · Computer Science 2024-03-21 Ferdinand Schlatt , Maik Fröbe , Matthias Hagen

We propose a method to tackle the problem of mapless collision-avoidance navigation where humans are present using 2D laser scans. Our proposed method uses ego-safety to measure collision from the robot's perspective while social-safety to…

Robotics · Computer Science 2020-11-20 Jun Jin , Nhat M. Nguyen , Nazmus Sakib , Daniel Graves , Hengshuai Yao , Martin Jagersand

Mesh representation by random walks has been shown to benefit deep learning. Randomness is indeed a powerful concept. However, it comes with a price: some walks might wander around non-characteristic regions of the mesh, which might be…

Computer Vision and Pattern Recognition · Computer Science 2021-04-26 Ran Ben Izhak , Alon Lahav , Ayellet Tal

We develop an analytical approach which provides the dependence of the mean first-passage time (MFPT) for random walks on complex networks both on the target connectivity and on the source-target distance. Our approach puts forward two…

Statistical Mechanics · Physics 2015-05-27 Vincent Tejedor , Olivier Bénichou , Raphael Voituriez

I study how past and future choices are linked in the framework of attention. Attention cannot be observed but past choices are necessarily considered in future decisions. This link connects two types of rationality violations,…

Theoretical Economics · Economics 2024-03-05 Xi Zhi Lim

Inference and prediction of routes have become of interest over the past decade owing to a dramatic increase in package delivery and ride-sharing services. Given the underlying combinatorial structure and the incorporation of probabilities,…

Logic in Computer Science · Computer Science 2023-06-21 Suwei Yang , Victor C. Liang , Kuldeep S. Meel

We conducted an eye-tracking study where 30 participants performed searches on the web. We measured their topical knowledge before and after each task. Their eye-fixations were labelled as "reading" or "scanning". The series of reading…

Human-Computer Interaction · Computer Science 2019-08-16 Nilavra Bhattacharya , Jacek Gwizdka

It has been demonstrated many times that the behavior of the human visual system is connected to the statistics of natural images. Since machine learning relies on the statistics of training data as well, the above connection has…

Computer Vision and Pattern Recognition · Computer Science 2022-03-17 Alexander Hepburn , Valero Laparra , Raul Santos-Rodriguez , Johannes Ballé , Jesús Malo