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The drivers of compositionality in artificial languages that emerge when two (or more) agents play a non-visual referential game has been previously investigated using approaches based on the REINFORCE algorithm and the (Neural) Iterated…

Computation and Language · Computer Science 2020-12-22 Kevin Denamganaï , James Alfred Walker

This work presents a novel policy iteration algorithm to tackle nonzero-sum stochastic impulse games arising naturally in many applications. Despite the obvious impact of solving such problems, there are no suitable numerical methods…

Optimization and Control · Mathematics 2020-06-29 René Aïd , Francisco Bernal , Mohamed Mnif , Diego Zabaljauregui , Jorge P. Zubelli

Despite the recent successes of deep neural networks in various fields such as image and speech recognition, natural language processing, and reinforcement learning, we still face big challenges in bringing the power of numeric optimization…

Artificial Intelligence · Computer Science 2018-02-16 Fei Wang , Tiark Rompf

Many security and other real-world situations are dynamic in nature and can be modelled as strictly competitive (or zero-sum) dynamic games. In these domains, agents perform actions to affect the environment and receive observations --…

Computer Science and Game Theory · Computer Science 2020-10-23 Karel Horák , Branislav Bošanský , Vojtěch Kovařík , Christopher Kiekintveld

As machine learning models increase in scale and complexity, obtaining sufficient training data has become a critical bottleneck due to acquisition costs, privacy constraints, and data scarcity in specialised domains. While synthetic data…

Computer Vision and Pattern Recognition · Computer Science 2025-03-24 Giacomo Savazzi , Eugenio Lomurno , Cristian Sbrolli , Agnese Chiatti , Matteo Matteucci

We develop provably efficient reinforcement learning algorithms for two-player zero-sum finite-horizon Markov games with simultaneous moves. To incorporate function approximation, we consider a family of Markov games where the reward…

Machine Learning · Computer Science 2020-06-25 Qiaomin Xie , Yudong Chen , Zhaoran Wang , Zhuoran Yang

Zero-sum stochastic games provide a rich model for competitive decision making. However, under general forms of state uncertainty as considered in the Partially Observable Stochastic Game (POSG), such decision making problems are still not…

Artificial Intelligence · Computer Science 2016-06-23 Auke J. Wiggers , Frans A. Oliehoek , Diederik M. Roijers

With the rapid advances in generative adversarial networks (GANs), the visual quality of synthesised scenes keeps improving, including for complex urban scenes with applications to automated driving. We address in this work a continual…

Computer Vision and Pattern Recognition · Computer Science 2022-05-03 Himalaya Jain , Tuan-Hung Vu , Patrick Pérez , Matthieu Cord

Game-theoretic techniques and equilibria analysis facilitate the design and verification of competitive systems. While algorithmic complexity of equilibria computation has been extensively studied, practical implementation and application…

Computer Science and Game Theory · Computer Science 2022-02-02 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

Computing the Nash equilibrium (NE) for N-player non-zerosum stochastic games is a formidable challenge. Currently, algorithmic methods in stochastic game theory are unable to compute NE for stochastic games (SGs) for settings in all but…

Optimization and Control · Mathematics 2021-03-25 David Mguni

While neural symbolic methods demonstrate impressive performance in visual question answering on synthetic images, their performance suffers on real images. We identify that the long-tail distribution of visual concepts and unequal…

Computer Vision and Pattern Recognition · Computer Science 2021-10-04 Zhuowan Li , Elias Stengel-Eskin , Yixiao Zhang , Cihang Xie , Quan Tran , Benjamin Van Durme , Alan Yuille

State-of-the-art methods for solving 2-player zero-sum imperfect information games rely on linear programming or regret minimization, though not on dynamic programming (DP) or heuristic search (HS), while the latter are often at the core of…

Artificial Intelligence · Computer Science 2022-10-27 Aurélien Delage , Olivier Buffet , Jilles S. Dibangoye , Abdallah Saffidine

A recent method for solving zero-sum partially observable stochastic games (zs-POSGs) embeds the original game into a new one called the occupancy Markov game. This reformulation allows applying Bellman's principle of optimality to solve…

Computer Science and Game Theory · Computer Science 2024-06-04 Erwan Escudie , Matthia Sabatelli , Jilles Dibangoye

Zero-sum Markov Games (MGs) has been an efficient framework for multi-agent systems and robust control, wherein a minimax problem is constructed to solve the equilibrium policies. At present, this formulation is well studied under tabular…

Machine Learning · Computer Science 2022-12-06 Yangang Ren , Yao Lyu , Wenxuan Wang , Shengbo Eben Li , Zeyang Li , Jingliang Duan

We consider the problem of computing the maximal probability of satisfying an omega-regular specification for stochastic nonlinear systems evolving in discrete time. The problem reduces, after automata-theoretic constructions, to finding…

Systems and Control · Electrical Eng. & Systems 2022-09-30 Rupak Majumdar , Kaushik Mallik , Anne-Kathrin Schmuck , Sadegh Soudjani

We consider a variant of continuous-state partially-observable stochastic games with neural perception mechanisms and an asymmetric information structure. One agent has partial information, with the observation function implemented as a…

Computer Science and Game Theory · Computer Science 2024-04-17 Rui Yan , Gabriel Santos , Gethin Norman , David Parker , Marta Kwiatkowska

Previous math word problem solvers following the encoder-decoder paradigm fail to explicitly incorporate essential math symbolic constraints, leading to unexplainable and unreasonable predictions. Herein, we propose Neural-Symbolic Solver…

Computation and Language · Computer Science 2021-07-06 Jinghui Qin , Xiaodan Liang , Yining Hong , Jianheng Tang , Liang Lin

To operate effectively in the real world, agents should be able to act from high-dimensional raw sensory input such as images and achieve diverse goals across long time-horizons. Current deep reinforcement and imitation learning methods can…

Machine Learning · Computer Science 2020-11-16 Scott Emmons , Ajay Jain , Michael Laskin , Thanard Kurutach , Pieter Abbeel , Deepak Pathak

In this contribution, we present a numerical analysis of the continuous stochastic gradient (CSG) method, including applications from topology optimization and convergence rates. In contrast to standard stochastic gradient optimization…

Optimization and Control · Mathematics 2023-03-23 Max Grieshammer , Lukas Pflug , Michael Stingl , Andrian Uihlein

The remarkable advancements in artificial intelligence (AI), primarily driven by deep neural networks, have significantly impacted various aspects of our lives. However, the current challenges surrounding unsustainable computational…

Artificial Intelligence · Computer Science 2024-01-03 Zishen Wan , Che-Kai Liu , Hanchen Yang , Chaojian Li , Haoran You , Yonggan Fu , Cheng Wan , Tushar Krishna , Yingyan Lin , Arijit Raychowdhury