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Social activities display bursty behavior characterized by heavy-tailed inter-event time distributions. We examine the bursty behavior of airplanes' arrivals in hub airports. The analysis indicates that the air transportation system…

Physics and Society · Physics 2015-12-16 Hidetaka Ito , Katsuhiro Nishinari

Abundance data are used in ecology for species monitoring and conservation. These count data often display several specific characteristics like numerous missing data, high variance, and a high proportion of zeros, particularly when…

We model messaging activities as a hierarchical doubly stochastic point process with three main levels, and develop an iterative algorithm for inferring actors' relative latent positions from a stream of messaging activity data. Each of the…

Machine Learning · Statistics 2013-04-26 Nam H. Lee , Jordan Yoder , Minh Tang , Carey E Priebe

By utilising vehicle capacity more efficiently, ride-pooling platforms can potentially lead to reduced congestion levels without adversely prolonging travel times. While previous studies concluded that shared rides can offer substantial…

Physics and Society · Physics 2021-07-15 Arjan de Ruijter , Oded Cats , Javier Alonso-Mora , Serge Hoogendoorn

We provide guidance on multiple imputation of missing at random treatments in observational studies. Specifically, analysts should account for both covariates and outcomes, i.e., not just use propensity scores, when imputing the missing…

Methodology · Statistics 2025-01-23 Joseph Feldman , Jerome P. Reiter

The urban rail transit (URT) system attracts many commuters with its punctuality and convenience. However, it is vulnerable to disruptions caused by factors like extreme weather and temporary equipment failures, which greatly impact…

Physics and Society · Physics 2024-07-08 Siyu Zhuo , Xiaoning Zhu , Pan Shang , Zhengke Liu

An analytical formula for the occurence probability of Markovian stochastic paths with repeatedly visited and/or equal departure rates is derived. This formula is essential for an efficient investigation of the trajectories belonging to…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Rolf Molini

The aviation industry is of great importance for a globally connected economy. Customer satisfaction with airlines and airport performance is considerably influenced by how much flights are delayed. But how should the delay be quantified…

Physics and Society · Physics 2021-04-01 Evangelos Mitsokapas , Benjamin Schäfer , Rosemary J. Harris , Christian Beck

Missing data imputation, where a model is trained on observed data to estimate unobserved values, is a fundamental problem in machine learning. In this paper, we rigorously formulate imputation model learning as a mean-squared error risk…

Machine Learning · Statistics 2026-05-14 Luke Shannon , Song Liu , Katarzyna Reluga

In this paper, we propose a general model for plane-based clustering. The general model contains many existing plane-based clustering methods, e.g., k-plane clustering (kPC), proximal plane clustering (PPC), twin support vector clustering…

Machine Learning · Computer Science 2020-09-24 Zhen Wang , Yuan-Hai Shao , Lan Bai , Chun-Na Li , Li-Ming Liu

The probability of shortage absence is estimated for the storage of some transport system. The intensive computer methods of statistics are used in corresponding processes simulation. The efficiency of suggested approach, taking the mean…

Applications · Statistics 2013-05-21 Helen Afanasyeva

Time spent in processing zones at an airport are an important part of the passenger's airport experience. It undercuts the time spent in the rest of the airport, and therefore the revenue that could be generated from shopping and dining. It…

Other Computer Science · Computer Science 2015-08-21 Harold Nikoue , Aude Marzuoli , John-Paul Clarke , Eric Feron , Jim Peters

We consider the navigation of mobile robots in crowded environments, for which onboard sensing of the crowd is typically limited by occlusions. We address the problem of inferring the human occupancy in the space around the robot, in blind…

Robotics · Computer Science 2021-09-20 Javad Amirian , Jean-Bernard Hayet , Julien Pettre

The remaining travel time of a plane shortens with every minute that passes from its departure, and a flame diminishes a candle with every second it burns. Such everyday occurrences bias us to think that processes which have already begun…

Statistical Mechanics · Physics 2023-04-12 Arnab Pal , Sarah Kostinski , Shlomi Reuveni

Uncovering human mobility patterns is of fundamental importance to the understanding of epidemic spreading, urban transportation and other socioeconomic dynamics embodying spatiality and human travel. According to the direct travel diaries…

Physics and Society · Physics 2013-09-24 Xiao-Yong Yan , Xiao-Pu Han , Bing-Hong Wang , Tao Zhou

Many real-world optimization problems have multiple interacting components. Each of these can be NP-hard and they can be in conflict with each other, i.e., the optimal solution for one component does not necessarily represent an optimal…

Neural and Evolutionary Computing · Computer Science 2021-09-13 Jonatas B. C. Chagas , Markus Wagner

This paper considers the problem of predicting the number of events that have occurred in the past, but which are not yet observed due to a delay. Such delayed events are relevant in predicting the future cost of warranties, pricing…

Risk Management · Quantitative Finance 2019-03-27 Jonas Crevecoeur , Katrien Antonio , Roel Verbelen

Individual differences in mobility (e.g., due to wheelchair use) are often ignored in the prediction of crowd movement. Consequently, engineering tools cannot fully describe the impact of vulnerable populations on egress performance. To…

Physics and Society · Physics 2023-11-03 Paul Geoerg , Ann Katrin Boomers , Maxine Berthiaume , Maik Boltes , Max Kinateder

The aim of the paper is to evaluate the miss probability of a Least Recently Used (LRU) cache, when it is offered a non-stationary request process given by a Poisson cluster point process. First, we construct a probability space using Palm…

Probability · Mathematics 2017-11-30 Felipe Olmos , Carl Graham , Alain Simonian

The classical and extended occupancy distributions are useful for examining the number of occupied bins in problems involving random allocation of balls to bins. We examine the extended occupancy problem by framing it as a Markov chain and…

Probability · Mathematics 2023-06-06 Ben O'Neill
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