149 citations · 416 across the 31 of their papers we have counts for
38 papers
The Price of Distributional Robustness in Linear Quadratic Control
Andrea Martin, Giuseppe Belgioioso
Distributionally robust (DR) optimization seeks decisions that perform best under the most adverse law within a given ambiguity set, enabling the design of data-driven controllers…
Finite-sample guarantees for data-driven operator splitting methods via martingale inequalities
Andrea Martin, Filippo Fabiani, Giuseppe Belgioioso
Operator splitting methods are a fundamental class of algorithms for solving structured monotone inclusion problems arising in optimization, control, and game theory. We consider t…
Distributed Algorithm for Robust Wardrop Equilibrium in Uncertain Aggregative Congestion Games
Huan Peng, Guanpu Chen, Giuseppe Belgioioso +1
This paper considers a class of aggregative congestion games with uncertain coupling constraints, and devises a distributed algorithm to seek the robust generalized Wardrop equilib…
Adaptive Tuning of Online Feedback Optimization for Process Control Applications
Marta Zagorowska, Lukas Ortmann, Giuseppe Belgioioso +1
Online Feedback Optimization leverages properties of optimization algorithms to develop controllers for systems with limited model availability, which is often the case in process…
DR-DAQP: A Hybrid Operator Splitting and Active-Set Solver for Affine Variational Inequalities
Daniel Arnström, Emilio Benenati, Giuseppe Belgioioso
We present DR-DAQP, an open-source solver for strongly monotone affine variational inequalities (AVIs) that combines Douglas-Rachford operator splitting with an active-set accelera…
Learning to accelerate Krasnosel'skii-Mann fixed-point iterations with guarantees
Andrea Martin, Giuseppe Belgioioso
We introduce a principled learning to optimize (L2O) framework for solving fixed-point problems involving general nonexpansive mappings. Our idea is to deliberately inject summable…
The explicit game-theoretic linear quadratic regulator for constrained multi-agent systems
Emilio Benenati, Giuseppe Belgioioso
We present an efficient algorithm to compute the explicit open-loop solution to both finite and infinite-horizon dynamic games subject to state and input constraints. Our approach…
Voltage Support Procurement in Transmission Grids: Incentive Design via Online Bilevel Games
Zhisen Jiang, Saverio Bolognani, Giuseppe Belgioioso
The integration of distributed energy resources into transmission grid operations presents a complex challenge, particularly in the context of reactive power procurement for voltag…
Optimizing Social Network Interventions via Hypergradient-Based Recommender System Design
Marino Kühne, Panagiotis D. Grontas, Giulia De Pasquale +3
Although social networks have expanded the range of ideas and information accessible to users, they are also criticized for amplifying the polarization of user opinions. Given the…
Carbon-Aware Computing for Data Centers with Probabilistic Performance Guarantees
Sophie Hall, Francesco Micheli, Giuseppe Belgioioso +2
Data centers are significant contributors to carbon emissions and can strain power systems due to their high electricity consumption. To mitigate this impact and to participate in…
Network-aware Recommender System via Online Feedback Optimization
Sanjay Chandrasekaran, Giulia De Pasquale, Giuseppe Belgioioso +1
Personalized content on social platforms can exacerbate negative phenomena such as polarization, partly due to the feedback interactions between recommendations and the users. In t…
Carbon-Aware Computing in a Network of Data Centers: A Hierarchical Game-Theoretic Approach
Enno Breukelman, Sophie Hall, Giuseppe Belgioioso +1
Over the past decade, the continuous surge in cloud computing demand has intensified data center workloads, leading to significant carbon emissions and driving the need for improvi…
Stability Certificates for Receding Horizon Games
Sophie Hall, Giuseppe Belgioioso, Florian Dörfler +1
Game-theoretic MPC (or Receding Horizon Games) is an emerging control methodology for multi-agent systems that generates control actions by solving a dynamic game with coupling con…
Online Feedback Optimization over Networks: A Distributed Model-free Approach
Wenbin Wang, Zhiyu He, Giuseppe Belgioioso +2
Online feedback optimization (OFO) enables optimal steady-state operations of a physical system by employing an iterative optimization algorithm as a dynamic feedback controller. W…
Towards a Systems Theory of Algorithms
Florian Dörfler, Zhiyu He, Giuseppe Belgioioso +3
Traditionally, numerical algorithms are seen as isolated pieces of code confined to an {\em in silico} existence. However, this perspective is not appropriate for many modern compu…
Decentralized Feedback Optimization via Sensitivity Decoupling: Stability and Sub-optimality
Wenbin Wang, Zhiyu He, Giuseppe Belgioioso +2
Online feedback optimization is a controller design paradigm for optimizing the steady-state behavior of a dynamical system. It employs an optimization algorithm as a dynamic feedb…
Tutorial on Congestion Control in Multi-Area Transmission Grids via Online Feedback Equilibrium Seeking
Giuseppe Belgioioso, Saverio Bolognani, Giulia Pejrani +1
Online feedback optimization (OFO) is an emerging control methodology for real-time optimal steady-state control of complex dynamical systems. This tutorial focuses on the applicat…
Strategic Interactions in Multi-modal Mobility Systems: A Game-Theoretic Perspective
Gioele Zardini, Nicolas Lanzetti, Giuseppe Belgioioso +4
The evolution of existing transportation systems,mainly driven by urbanization and increased availability of mobility options, such as private, profit-maximizing ride-hailing compa…
Designing Optimal Personalized Incentive for Traffic Routing using BIG Hype algorithm
Panagiotis D. Grontas, Carlo Cenedese, Marta Fochesato +3
We study the problem of optimally routing plug-in electric and conventional fuel vehicles on a city level. In our model, commuters selfishly aim to minimize a local cost that combi…
BIG Hype: Best Intervention in Games via Distributed Hypergradient Descent
Panagiotis D. Grontas, Giuseppe Belgioioso, Carlo Cenedese +3
Hierarchical decision making problems, such as bilevel programs and Stackelberg games, are attracting increasing interest in both the engineering and machine learning communities.…
Designing Fairness in Autonomous Peer-to-peer Energy Trading
Varsha Behrunani, Andrew Irvine, Giuseppe Belgioioso +3
Several autonomous energy management and peer-to-peer trading mechanisms for future energy markets have been recently proposed based on optimization and game theory. In this paper,…
Stability and Robustness of Distributed Suboptimal Model Predictive Control
Giuseppe Belgioioso, Dominic Liao-McPherson, Mathias Hudoba de Badyn +3
In distributed model predictive control (MPC), the control input at each sampling time is computed by solving a large-scale optimal control problem (OCP) over a finite horizon usin…
Online Feedback Equilibrium Seeking
Giuseppe Belgioioso, Dominic Liao-McPherson, Mathias Hudoba de Badyn +4
This paper proposes a unifying design framework for dynamic feedback controllers that track solution trajectories of time-varying generalized equations, such as local minimizers of…
Receding Horizon Games with Coupling Constraints for Demand-Side Management
Sophie Hall, Giuseppe Belgioioso, Dominic Liao-McPherson +1
Distributed energy storage and flexible loads are essential tools for ensuring stable and robust operation of the power grid in spite of the challenges arising from the integration…