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We study an optimization problem related to the approximation of given data by a linear combination of transformed modes. In the simplest case, the optimization problem reduces to a minimization problem well-studied in the context of proper…

Optimization and Control · Mathematics 2021-07-12 Felix Black , Philipp Schulze , Benjamin Unger

Modern methods for counting people in crowded scenes rely on deep networks to estimate people densities in individual images. As such, only very few take advantage of temporal consistency in video sequences, and those that do only impose…

Computer Vision and Pattern Recognition · Computer Science 2021-08-04 Weizhe Liu , Mathieu Salzmann , Pascal Fua

Enabling resilient autonomous motion planning requires robust predictions of surrounding road users' future behavior. In response to this need and the associated challenges, we introduce our model titled MTP-GO. The model encodes the scene…

Robotics · Computer Science 2023-12-12 Theodor Westny , Joel Oskarsson , Björn Olofsson , Erik Frisk

Integrating mobile robots into human society involves the fundamental problem of navigation in crowds. This problem has been studied by considering the behaviour of humans at the level of individuals, but this representation limits the…

Robotics · Computer Science 2020-05-11 Stefan H. Kiss , K. Y. Cadmus To , Chanyeol Yoo , Robert Fitch , Alen Alempijevic

We study the use of amortized optimization to predict optimal transport (OT) maps from the input measures, which we call Meta OT. This helps repeatedly solve similar OT problems between different measures by leveraging the knowledge and…

Machine Learning · Computer Science 2023-06-06 Brandon Amos , Samuel Cohen , Giulia Luise , Ievgen Redko

For past several decades, research efforts in population modelling has proven its efficacy in understanding the basic information about residential and commercial areas, as well as for the purposes of planning, development and improvement…

Social and Information Networks · Computer Science 2016-06-29 Gautam S. Thakur , Kevin A. Sparks , Robert N. Stewart , Marie L. Urban , Budhendra L. Bhaduri

We study a density-dependent Markov jump process describing a population where each individual is characterized by a type, and reproduces at rates depending both on its type and on the population type distribution. We are interested in the…

Probability · Mathematics 2026-02-26 Madeleine Kubasch

Modeling how network-level traffic flow changes in the urban environment is useful for decision-making in transportation, public safety and urban planning. The traffic flow system can be viewed as a dynamic process that transits between…

Machine Learning · Computer Science 2022-11-22 Xiaoliang Lei , Hao Mei , Bin Shi , Hua Wei

Network traffic matrix estimation is an ill-posed linear inverse problem: it requires to estimate the unobservable origin destination traffic flows, X, given the observable link traffic flows, Y, and a binary routing matrix, A, which are…

Networking and Internet Architecture · Computer Science 2021-12-20 Syed Muhammad Atif , Nicolas Gillis , Sameer Qazi , Imran Naseem

The analysis of GPS trajectories is a well-studied problem in Urban Computing and has been used to track people. Analyzing people mobility and identifying the transportation mode used by them is essential for cities that want to reduce…

Machine Learning · Computer Science 2020-07-20 I. Cardoso-Pereira , J. B. Borges , P. H. Barros , A. F. Loureiro , O. A. Rosso , H. S. Ramos

Origin-Destination Matrix (ODM) estimation is a classical problem in transport engineering aiming to recover flows from every Origin to every Destination from measured traffic counts and a priori model information. In addition to traffic…

Optimization and Control · Mathematics 2019-07-18 Gabriel Michau , Nelly Pustelnik , Pierre Borgnat , Patrice Abry , Alfredo Nantes , Ashish Bhaskar , Edward Chung

Human trajectory data is crucial in urban planning, traffic engineering, and public health. However, directly using real-world trajectory data often faces challenges such as privacy concerns, data acquisition costs, and data quality. A…

Machine Learning · Computer Science 2025-11-05 Qingyue Long , Can Rong , Tong Li , Yong Li

With the rapid advancement of diffusion-based generative models, portrait image animation has achieved remarkable results. However, it still faces challenges in temporally consistent video generation and fast sampling due to its iterative…

Computer Vision and Pattern Recognition · Computer Science 2025-09-22 Taekyung Ki , Dongchan Min , Gyeongsu Chae

This paper proposes a graph-based approach to representing spatio-temporal trajectory data that allows an effective visualization and characterization of city-wide traffic dynamics. With the advance of sensor, mobile, and Internet of Things…

Machine Learning · Computer Science 2022-12-07 Jiwon Kim , Kai Zheng , Jonathan Corcoran , Sanghyung Ahn , Marty Papamanolis

Adapted optimal transport (AOT) problems are optimal transport problems for distributions of a time series where couplings are constrained to have a temporal causal structure. In this paper, we develop computational tools for solving AOT…

Probability · Mathematics 2023-04-26 Stephan Eckstein , Gudmund Pammer

This study investigates an adaptive pricing scheme aimed at achieving an efficient state in a traffic congestion game characterized by a diverse population of road users. While the planner possesses knowledge of players' preferences, their…

Theoretical Economics · Economics 2025-12-22 Shota Fujishima

Rapid urbanization places increasing stress on already burdened transportation systems, resulting in delays and poor levels of service. Billions of spatiotemporal call detail records (CDRs) collected from mobile devices create new…

Physics and Society · Physics 2014-03-05 Jameson L. Toole , Serdar Colak , Fahad Alhasoun , Alexandre Evsukoff , Marta C. Gonzalez

In this work, we develop an optimal transport (OT) based framework to select informative prototypical examples that best represent a given target dataset. Summarizing a given target dataset via representative examples is an important…

Machine Learning · Computer Science 2021-04-06 Karthik S. Gurumoorthy , Pratik Jawanpuria , Bamdev Mishra

This work originates from a heart's images tracking which is to generate an apparent continuous motion, observable through intensity variation from one starting image to an ending one both supposed segmented. Given two images p0 and p1, we…

Classical Analysis and ODEs · Mathematics 2010-09-20 Olivier Besson , Martine Picq , Jérôme Pousin

Human mobility research concerns spatiotemporal individual and population movement. Accurate modeling and prediction of human mobility can provide opportunities to monitor, manage and optimize human movement for improved social-economic…

Social and Information Networks · Computer Science 2022-02-15 Liantao Li , Yang Yang
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