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We present an algorithm for obtaining an optimal control policy for hybrid dynamical systems in cluttered environments. To the best of our knowledge, this is the first attempt to have a locally optimal solution for this specific problem…

Robotics · Computer Science 2017-10-17 Shushman Choudhury , Yifan Hou , Gilwoo Lee , Siddhartha S. Srinivasa

This paper introduces Deep Policy Iteration (DPI), a novel approach that integrates the strengths of Neural Networks with the stability and convergence advantages of Policy Iteration (PI) to address high-dimensional stochastic Mean Field…

Optimization and Control · Mathematics 2024-07-15 Mouhcine Assouli , Badr Missaoui

Automated design of multi-agent interactions with desirable equilibrium outcomes is inherently difficult due to the computational hardness, non-uniqueness, and instability of the resulting equilibria. In this work, we propose the use of…

Computer Science and Game Theory · Computer Science 2026-03-13 Vinzenz Thoma , Georgios Piliouras , Luke Marris

This paper proposes a novel approach to improve the performance of distributed nonlinear control systems while preserving stability by leveraging Deep Neural Networks (DNNs). We build upon the Neural System Level Synthesis (Neur-SLS)…

Optimization and Control · Mathematics 2024-08-01 Danilo Saccani , Leonardo Massai , Luca Furieri , Giancarlo Ferrari-Trecate

Two-player games are a fruitful way to represent and reason about several important synthesis tasks. These tasks include controller synthesis (where one asks for a controller for a given plant such that the controlled plant satisfies a…

Logic in Computer Science · Computer Science 2023-08-22 Stanly Samuel , Deepak D'Souza , Raghavan Komondoor

Game balancing is an important part of the (computer) game design process, in which designers adapt a game prototype so that the resulting gameplay is as entertaining as possible. In industry, the evaluation of a game is often based on…

Human-Computer Interaction · Computer Science 2016-03-15 Vanessa Volz , Günter Rudolph , Boris Naujoks

Selective labels are a common feature of consequential decision-making applications, referring to the lack of observed outcomes under one of the possible decisions. This paper reports work in progress on learning decision policies in the…

Machine Learning · Computer Science 2020-11-04 Dennis Wei

We propose a novel framework to controller design in environments with a two-level structure: a known high-level graph ("map") in which each vertex is populated by a Markov decision process, called a "room". The framework "separates…

Artificial Intelligence · Computer Science 2025-03-11 Florent Delgrange , Guy Avni , Anna Lukina , Christian Schilling , Ann Nowé , Guillermo A. Pérez

We present a computational framework for synthesis of distributed control strategies for a heterogeneous team of robots in a partially observable environment. The goal is to cooperatively satisfy specifications given as Truncated Linear…

Artificial Intelligence · Computer Science 2022-04-07 Ningyuan Zhang , Wenliang Liu , Calin Belta

Weighted timed games are played by two players on a timed automaton equipped with weights: one player wants to minimise the accumulated weight while reaching a target, while the other has an opposite objective. Used in a reactive synthesis…

Computer Science and Game Theory · Computer Science 2017-02-01 Damien Busatto-Gaston , Benjamin Monmege , Pierre-Alain Reynier

This paper is concerned with the design of control policies from example datasets. The case considered is when just a black box description of the system to be controlled is available and the system is affected by actuation constraints.…

Optimization and Control · Mathematics 2022-01-11 Davide Gagliardi , Giovanni Russo

We consider the problem of learning discriminative representations for data in a high-dimensional space with distribution supported on or around multiple low-dimensional linear subspaces. That is, we wish to compute a linear injective map…

Machine Learning · Statistics 2022-10-07 Druv Pai , Michael Psenka , Chih-Yuan Chiu , Manxi Wu , Edgar Dobriban , Yi Ma

Designing scalable and safe control strategies for large populations of connected and automated vehicles (CAVs) requires accounting for strategic interactions among heterogeneous agents under decentralized information. While dynamic games…

Optimization and Control · Mathematics 2025-12-08 Xuan Di , Anran Hu , Zhexin Wang , Yufei Zhang

Deep learning is built on the foundational guarantee that gradient descent on an objective function converges to local minima. Unfortunately, this guarantee fails in settings, such as generative adversarial nets, that exhibit multiple…

Machine Learning · Computer Science 2019-05-14 Alistair Letcher , David Balduzzi , Sebastien Racaniere , James Martens , Jakob Foerster , Karl Tuyls , Thore Graepel

In this paper we design hybrid control policies for hybrid systems whose mathematical models are unknown. Our contributions are threefold. First, we propose a framework for modelling the hybrid control design problem as a single Markov…

Systems and Control · Electrical Eng. & Systems 2020-09-03 Meet Gandhi , Atreyee Kundu , Shalabh Bhatnagar

Deep learning has emerged as a versatile tool for a wide range of NLP tasks, due to its superior capacity in representation learning. But its applicability is limited by the reliance on annotated examples, which are difficult to produce at…

Computation and Language · Computer Science 2018-08-28 Hai Wang , Hoifung Poon

Multi-dimensional mean-payoff and energy games provide the mathematical foundation for the quantitative study of reactive systems, and play a central role in the emerging quantitative theory of verification and synthesis. In this work, we…

Computer Science and Game Theory · Computer Science 2014-11-04 Krishnendu Chatterjee , Mickael Randour , Jean-François Raskin

In this paper, we study nonzero-sum separable games, which are continuous games whose payoffs take a sum-of-products form. Included in this subclass are all finite games and polynomial games. We investigate the structure of equilibria in…

Computer Science and Game Theory · Computer Science 2010-04-26 Noah D. Stein , Asuman Ozdaglar , Pablo A. Parrilo

The synthesis of maximally-permissive controllers in infinite-state systems has many practical applications. Such controllers directly correspond to maximal winning strategies in logically specified infinite-state two-player games. In this…

Logic in Computer Science · Computer Science 2021-08-18 Stanly Samuel , Deepak D'Souza , Raghavan Komondoor

Mechanism design is a well-established game-theoretic paradigm for designing games to achieve desired outcomes. This paper addresses a closely related but distinct concept, equilibrium design. Unlike mechanism design, the designer's…

Computer Science and Game Theory · Computer Science 2024-08-20 Muhammad Najib , Giuseppe Perelli
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