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Unsupervised learning requiring only raw data is not only a fundamental function of the cerebral cortex, but also a foundation for a next generation of artificial neural networks. However, a unified theoretical framework to treat sensory…

Machine Learning · Statistics 2020-09-09 Haiping Huang

In this work, we investigate a steering problem in a mediator-augmented two-player normal-form game, where the mediator aims to guide players toward a specific action profile through information and incentive design. We first characterize…

Computer Science and Game Theory · Computer Science 2025-09-01 Asrin Efe Yorulmaz , Raj Kiriti Velicheti , Melih Bastopcu , Tamer Başar

We consider an interacting system of one-dimensional structures modelling fibers with fiber-fiber interaction in a fiber lay-down process. The resulting microscopic system is investigated by looking at different asymptotic limits of the…

Dynamical Systems · Mathematics 2017-10-06 Raul Borsche , Axel Klar , Christian Nessler , Andreas Roth , Oliver Tse

Interference among concurrent transmissions in a wireless network is a key factor limiting the system performance. One way to alleviate this problem is to manage the radio resources in order to maximize either the average or the worst-case…

Machine Learning · Computer Science 2019-06-24 Navid Naderializadeh , Jaroslaw Sydir , Meryem Simsek , Hosein Nikopour , Shilpa Talwar

Collective migration of animals in a cohesive group is rendered possible by a strategic distribution of tasks among members: some track the travel route, which is time and energy-consuming, while the others follow the group by interacting…

Optimization and Control · Mathematics 2015-08-05 Benedetto Piccoli , Nastassia Pouradier Duteil , Benjamin Scharf

We present a method for active inference with partial observations in stochastic systems through incentive design, also known as the leader-follower game. Consider a leader agent who aims to infer a follower agent's type given a finite set…

Systems and Control · Electrical Eng. & Systems 2025-02-12 Xinyi Wei , Chongyang Shi , Shuo Han , Ahmed H. Hemida , Charles A. Kamhoua , Jie Fu

The concept of leader--follower (or Stackelberg) equilibrium plays a central role in a number of real--world applications of game theory. While the case with a single follower has been thoroughly investigated, results with multiple…

Computer Science and Game Theory · Computer Science 2017-07-10 Nicola Basilico , Stefano Coniglio , Nicola Gatti

We introduce a stochastic geometry dynamics inspired by opinion dynamics that captures the essence of modern asymmetric social networks with leaders and followers. Points in the Euclidean space represent opinions, and the leader of an agent…

Probability · Mathematics 2026-05-29 Natasa Dragovic , Francois Baccelli

We propose and analyze several inexact regularized Newton-type methods for finding a global saddle point of convex-concave unconstrained min-max optimization problems. Compared to first-order methods, our understanding of second-order…

Optimization and Control · Mathematics 2026-05-27 Tianyi Lin , Panayotis Mertikopoulos , Michael I. Jordan

This paper is concerned with a linear-quadratic (LQ) Stackelberg mean field games of backward-forward stochastic systems, involving a backward leader and a substantial number of forward followers. The leader initiates by providing its…

Optimization and Control · Mathematics 2024-06-28 Wenyu Cong , Jingtao Shi

This paper considers the leader-follower tracking control problem for linear interconnected systems with undirected topology and linear dynamic coupling. Interactions between the systems are treated as linear dynamic uncertainty and are…

Systems and Control · Computer Science 2015-02-17 Yi Cheng , V. Ugrinovskii

Influence maximization (IM) aims at maximizing the spread of influence by offering discounts to influential users (called seeding). In many applications, due to user's privacy concern, overwhelming network scale etc., it is hard to target…

Social and Information Networks · Computer Science 2020-10-06 Chen Feng , Luoyi Fu , Bo Jiang , Haisong Zhang , Xinbing Wang , Feilong Tang , Guihai Chen

A decentralized control system with linear dynamics, quadratic cost, and Gaussian disturbances is considered. The system consists of a finite number of subsystems whose dynamics and per-step cost function are coupled through their…

Optimization and Control · Mathematics 2020-12-04 Jalal Arabneydi , Aditya Mahajan

The paper studies the problem of steering multi-dimensional opinion in a social network. Assuming the society of desire consists of stubborn and regular agents, stubborn agents are considered as leaders who specify the desired opinion…

Systems and Control · Electrical Eng. & Systems 2025-02-07 Hossein Rastgoftar

Motivated by a product pricing problem, a linear-quadratic Stackelberg differential game for a regime switching system involving one leader and two followers is studied. The two followers engage in a zero-sum differential game, and both the…

Optimization and Control · Mathematics 2026-03-31 Pengyan Huang , Na Li , Zuo Quan Xu , Harry Zheng

Mobile social networks (MSNs) enable people with similar interests to interact without Internet access. By forming a temporary group, users can disseminate their data to other interested users in proximity with short-range communication…

Networking and Internet Architecture · Computer Science 2019-01-10 Zhifei Mao , Yuming Jiang , Xiaoqiang Di , Yordanos Woldeyohannes

There has been recent progress on the problem of inferring the structure of interactions in complex networks when they are in stationary states satisfying detailed balance, but little has been done for non-equilibrium systems. Here we…

Disordered Systems and Neural Networks · Physics 2011-02-01 Yasser Roudi , John A. Hertz

This paper considers the leader-follower control problem for a linear multi-agent system with undirected topology and linear coupling subject to integral quadratic constraints (IQCs). A consensus-type control protocol is proposed based on…

Systems and Control · Computer Science 2013-03-13 Yi Cheng , V. Ugrinovskii

In this paper, we address the problem of modeling the traffic flow of a heritage city whose streets are represented by a network. We consider a mean field approach where the standard forward backward system of equations is also intertwined…

Optimization and Control · Mathematics 2019-09-09 Fabio Bagagiolo , Rosario Maggistro , Raffaele Pesenti

We study policy optimization in Stackelberg mean field games (MFGs), a hierarchical framework for modeling the strategic interaction between a single leader and an infinitely large population of homogeneous followers. The objective can be…

Machine Learning · Computer Science 2025-11-27 Sihan Zeng , Benjamin Patrick Evans , Sujay Bhatt , Leo Ardon , Sumitra Ganesh , Alec Koppel