2 citations · 2 across the 6 of their papers we have counts for
7 papers
Semi-Explicit Solution of Some Discrete-Time Higher-Order-Cost Mean-Field-Type Control
Julian Barreiro-Gomez, Tyrone E. Duncan, Bozenna Pasik-Duncan +1
Traditional solvable optimal control theory predominantly focuses on quadratic costs due to their analytical tractability, yet they often fail to capture critical non-linearities i…
Semi-Explicit Solution of Some Discrete-Time Mean-Field-Type Games with Higher-Order Costs
Julian Barreiro-Gomez, Tyrone E. Duncan, Bozenna Pasik-Duncan +1
Traditional solvable game theory and mean-field-type game theory (risk-aware games) predominantly focus on quadratic costs due to their analytical tractability. Nevertheless, they…
Recurrent Neural Network ODE Output for Classification Problems Follows the Replicator Dynamics
Julian Barreiro-Gomez, Jorge I. Poveda
This letter establishes a novel relationship between a class of recurrent neural networks and certain evolutionary dynamics that emerge in the context of population games. Specific…
Payoff Mechanism Design for Coordination in Multi-Agent Task Allocation Games
Shinkyu Park, Julian Barreiro-Gomez
We investigate a multi-agent decision-making problem where a large population of agents is responsible for carrying out a set of assigned tasks. The amount of jobs in each task var…
Stability Via Adversarial Training of Neural Network Stochastic Control of Mean-Field Type
Julian Barreiro-Gomez, Salah Eddine Choutri, Boualem Djehiche
In this paper, we present an approach to neural network mean-field-type control and its stochastic stability analysis by means of adversarial inputs (aka adversarial attacks). This…
Matrix-Valued Mean-Field-Type Games: Risk-Sensitive, Adversarial, and Risk-Neutral Linear-Quadratic Case
Julian Barreiro-Gomez, Tyrone E. Duncan, Hamidou Tembine
In this paper we study a class of matrix-valued linear-quadratic mean-field-type games for both the risk-neutral, risk-sensitive and robust cases. Non-cooperation, full cooperation…
Semi-Explicit Solutions to some Non-Linear Non-Quadratic Mean-Field-Type Games: A Direct Method
Julian Barreiro-Gomez, Tyrone E. Duncan, Bozenna Pasik-Duncan +1
This article examines mean-field-type game problems by means of a direct method. We provide various solvable examples beyond the classical linear-quadratic game problems. These inc…