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Decision making is a human process that is a fundamental part of competition. As a realisation of decision making, Command and Control, or C2, has been studied in the literature for adversarial populations, yet these models do not…

Understanding how species persist under interacting stressors is a central challenge in ecology. We develop a spatially explicit reaction-diffusion framework to investigate competing species in landscapes shaped by climate variability,…

Populations and Evolution · Quantitative Biology 2026-02-02 Ton Viet Ta

Complex planning and scheduling problems have long been solved using various optimization or heuristic approaches. In recent years, imitation learning that aims to learn from expert demonstrations has been proposed as a viable alternative…

Machine Learning · Computer Science 2024-05-24 Qian Shao , Pradeep Varakantham , Shih-Fen Cheng

We study the spatial distributions of two randomly interacting species, in the presence of an external multiplicative colored noise. The dynamics of the ecosystem is described by a coupled map lattice model. We find a nonmonotonic behavior…

Statistical Mechanics · Physics 2007-05-23 D. Valenti , A. Fiasconaro , B. Spagnolo

Opponent modeling is necessary in multi-agent settings where secondary agents with competing goals also adapt their strategies, yet it remains challenging because strategies interact with each other and change. Most previous work focuses on…

Machine Learning · Computer Science 2016-09-20 He He , Jordan Boyd-Graber , Kevin Kwok , Hal Daumé

Stabilizing cooperation among self-interested individuals presents a fundamental challenge in evolutionary theory and social science. While classical models predict the dominance of defection in social dilemmas, empirical and theoretical…

Physics and Society · Physics 2025-04-08 Pierre Bousseyroux , Gilles Zérah , Michael Benzaquen

Model-based Reinforcement Learning approaches have the promise of being sample efficient. Much of the progress in learning dynamics models in RL has been made by learning models via supervised learning. But traditional model-based…

Machine Learning · Computer Science 2019-06-12 Shagun Sodhani , Anirudh Goyal , Tristan Deleu , Yoshua Bengio , Sergey Levine , Jian Tang

We study a graph-theoretic model of interface dynamics called $Competitive\, Erosion$. Each vertex of the graph is occupied by a particle, which can be either red or blue. New red and blue particles are emitted alternately from their…

Probability · Mathematics 2018-08-14 Shirshendu Ganguly , Yuval Peres

Spatial data exhibits the property that nearby points are correlated. This also holds for learnt representations across layers, but not for commonly used weight initialization methods. Our theoretical analysis quantifies the learning…

Machine Learning · Computer Science 2023-02-03 Johannes Schneider

This chapter investigates some mechanisms behind pattern formation driven by competitive-only or repelling interactions, and explores how these patterns are influenced by different types of particle movement. Despite competition and…

Populations and Evolution · Quantitative Biology 2025-03-05 Cristóbal López , Eduardo H. Colombo , Emilio Hernández-García , Ricardo Martinez-Garcia

Machine learning models play a key role for service providers looking to gain market share in consumer markets. However, traditional learning approaches do not take into account the existence of additional providers, who compete with each…

Machine Learning · Computer Science 2025-08-15 Ohad Einav , Nir Rosenfeld

Binary decision-making process is ubiquitous in social life and is of vital significance in many real-world issues, ranging from public health to political campaigns. While continuous opinion evolution independent of discrete choice…

Physics and Society · Physics 2021-05-26 Xuyang Chen , Xin Wang , Longzhao Liu , Shaoting Tang , Zhiming Zheng

Covariate distribution shifts and adversarial perturbations present robustness challenges to the conventional statistical learning framework: mild shifts in the test covariate distribution can significantly affect the performance of the…

Machine Learning · Statistics 2024-05-21 Tengyuan Liang

Rewards and penalties are common practical tools that can be used to promote cooperation in social institutions. The evolution of cooperation under reward and punishment incentives in joint enterprises has been formalized and investigated,…

Physics and Society · Physics 2013-08-20 Tatsuya Sasaki

Modeling with multi-omics data presents multiple challenges such as the high-dimensionality of the problem ($p \gg n$), the presence of interactions between features, and the need for integration between multiple data sources. We establish…

Methodology · Statistics 2024-09-17 Matteo D'Alessandro , Theophilus Quachie Asenso , Manuela Zucknick

We study the problem of online learning in competitive settings in the context of two-sided matching markets. In particular, one side of the market, the agents, must learn about their preferences over the other side, the firms, through…

Artificial Intelligence · Computer Science 2022-06-07 Chinmay Maheshwari , Eric Mazumdar , Shankar Sastry

In this article, we review some of our approaches to granular dynamics, now well known to consist of both fast and slow relaxational processes. In the first case, grains typically compete with each other, while in the second, they…

Soft Condensed Matter · Physics 2009-11-10 Anita Mehta , J M Luck , J M Berg , G C Barker

Structural causal models describe how the components of a robotic system interact. They provide both structural and functional information about the relationships that are present in the system. The structural information outlines the…

Robotics · Computer Science 2025-08-12 Alejandro Murillo-Gonzalez , Junhong Xu , Lantao Liu

Presence of bias (in datasets or tasks) is inarguably one of the most critical challenges in machine learning applications that has alluded to pivotal debates in recent years. Such challenges range from spurious associations between…

Computer Vision and Pattern Recognition · Computer Science 2020-11-23 Ehsan Adeli , Qingyu Zhao , Adolf Pfefferbaum , Edith V. Sullivan , Li Fei-Fei , Juan Carlos Niebles , Kilian M. Pohl

In a complex system, the interactions between individual agents often lead to emergent collective behavior like spontaneous synchronization, swarming, and pattern formation. The topology of the network of interactions can have a dramatic…

Adaptation and Self-Organizing Systems · Physics 2022-07-25 Mark J Panaggio , Maria-Veronica Ciocanel , Lauren Lazarus , Chad M Topaz , Bin Xu