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Evaluating the performance of human is a common need across many applications, such as in engineering and sports. When evaluating human performance in completing complex and interactive tasks, the most common way is to use a metric having…

Machine Learning · Statistics 2023-03-24 Chaoyi Gu , Varuna De Silva

In this paper, we introduce a data-driven modeling approach for dynamics problems with latent variables. The state-space of the proposed model includes artificial latent variables, in addition to observed variables that can be fitted to a…

Optimization and Control · Mathematics 2024-06-19 Yushuang Luo , Xiantao Li , Wenrui Hao

Control of a hybrid dynamical system can manifest in one of two main ways: either through the continuous or the discrete dynamics. An example of controls influencing the continuous dynamics is legged locomotion, where the joints are…

Optimization and Control · Mathematics 2022-03-29 William Clark , Dora Kassabova

We introduce a new class of network allocation games called graphical distance preservation games. Here, we are given a graph, called a topology, and a set of agents that need to be allocated to its vertices. Moreover, every agent has an…

Computer Science and Game Theory · Computer Science 2026-02-19 Argyrios Deligkas , Eduard Eiben , Tiger-Lily Goldsmith , Dušan Knop , Šimon Schierreich

We present a new model for multi-agent dynamics where each agent is described by its position and body attitude: agents travel at a constant speed in a given direction and their body can rotate around it adopting different configurations.…

Mathematical Physics · Physics 2016-05-12 Pierre Degond , Amic Frouvelle , Sara Merino-Aceituno

We present a method that learns to integrate temporal information, from a learned dynamics model, with ambiguous visual information, from a learned vision model, in the context of interacting agents. Our method is based on a…

Machine Learning · Computer Science 2019-02-27 Chen Sun , Per Karlsson , Jiajun Wu , Joshua B Tenenbaum , Kevin Murphy

Soccer video understanding has motivated the creation of datasets for tasks such as temporal action localization, spatiotemporal action detection (STAD), or multiobject tracking (MOT). The annotation of structured sequences of events (who…

Artificial Intelligence · Computer Science 2025-11-21 Jeremie Ochin , Raphael Chekroun , Bogdan Stanciulescu , Sotiris Manitsaris

Transfers in professional football (soccer) are risky investments because of the large transfer fees and high risks involved. Although data-driven models can be used to improve transfer decisions, existing models focus on describing…

Applications · Statistics 2025-09-29 Koen W. van Arem , Floris Goes-Smit , Jakob Söhl

Analyzing football score data with statistical techniques, we investigate how the not purely random, but highly co-operative nature of the game is reflected in averaged properties such as the probability distributions of scored goals for…

Physics and Society · Physics 2009-04-02 Elmar Bittner , Andreas Nussbaumer , Wolfhard Janke , Martin Weigel

In volleyball games, we define a rally as the succession of events observed since the ball is served until one of the two teams on the court scores the point. In this process, athletes evolve in response to physical and information…

Physics and Society · Physics 2022-09-26 A. Chacoma , O. V. Billoni

In football game analysis, space evaluation is an important issue because it is directly related to the quality of ball passing or player formations. Previous studies have primarily focused on a field division approach wherein a field is…

Physics and Society · Physics 2020-06-11 Takuma Narizuka , Yoshihiro Yamazaki , Kenta Takizawa

Synchronized movement of (both unicellular and multicellular) systems can be observed almost everywhere. Understanding of how organisms are regulated to synchronized behavior is one of the challenging issues in the field of collective…

Adaptation and Self-Organizing Systems · Physics 2021-06-25 Udoy S. Basak , Sulimon Sattari , Md. Motaleb Hossain , Kazuki Horikawa , Tamiki Komatsuzaki

In this paper, we propose a statistical aggregation method for agent-based models with heterogeneous agents that interact both locally on a complex adaptive network and globally on a market. The method combines three approaches from…

Theoretical Economics · Economics 2020-11-04 Jakob J. Kolb , Finn Müller-Hansen , Jürgen Kurths , Jobst Heitzig

The use of statistical modeling in baseball has received substantial attention recently in both the media and academic community. We focus on a relatively under-explored topic: the use of statistical models for the analysis of fielding…

Applications · Statistics 2009-08-14 Shane T. Jensen , Kenneth E. Shirley , Abraham J. Wyner

The paper develops the Loewner approach for data-based modeling of a linear distributed-parameter system. This approach is applied to a controlled flexible beam model coupled with a spring-mass system. The original dynamical system is…

Optimization and Control · Mathematics 2023-08-08 A. Zuyev , I. V. Gosea

We study evolutionary game dynamics in finite populations. We analyze an evolutionary process, which we call pairwise comparison, for which we adopt the ubiquitous Fermi distribution function from statistical mechanics. The inverse…

Populations and Evolution · Quantitative Biology 2007-05-23 Arne Traulsen , Martin A. Nowak , Jorge M. Pacheco

The dynamics of minority games with agents trading on different time scales is studied via dynamical mean-field theory. We analyze the case where the agents' decision-making process is deterministic and its stochastic generalization with…

Disordered Systems and Neural Networks · Physics 2009-11-10 Andrea De Martino

How can we model influence between individuals in a social system, even when the network of interactions is unknown? In this article, we review the literature on the "influence model," which utilizes independent time series to estimate how…

Social and Information Networks · Computer Science 2012-02-28 Wei Pan , Manuel Cebrian , Wen Dong , Taemie Kim , James Fowler , Alex Pentland

This paper examines equilibria in dynamic two-sided matching games, extending Gale and Shapley's foundational model to a non-cooperative, decentralized, and dynamic framework. We focus on markets where agents have utility functions and…

Theoretical Economics · Economics 2024-12-02 Nadia Guiñazú , Pablo Neme , Jorge Oviedo

Group activity detection in soccer can be done by using either video data or player and ball trajectory data. In current soccer activity datasets, activities are labelled as atomic events without a duration. Given that the state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2020-04-23 Ryan Sanford , Siavash Gorji , Luiz G. Hafemann , Bahareh Pourbabaee , Mehrsan Javan
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