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We study sampling from posterior distributions in Bayesian linear inverse problems where $A$, the parameters to observables operator, is computationally expensive. In many applications, $A$ can be factored in a manner that facilitates the…

Machine Learning · Statistics 2026-05-19 Youguang Chen , George Biros

While Retrieval-Augmented Generation (RAG) augments Large Language Models (LLMs) with external knowledge, conventional single-agent RAG remains fundamentally limited in resolving complex queries demanding coordinated reasoning across…

Computation and Language · Computer Science 2025-04-18 Pei Liu , Xin Liu , Ruoyu Yao , Junming Liu , Siyuan Meng , Ding Wang , Jun Ma

It has been shown that one can accommodate data (Bayes) and constraints (MaxEnt) in one method, the method of Maximum (relative) Entropy (ME) (Giffin 2007). In this paper we show a complex agent based example of inference with two different…

Methodology · Statistics 2016-09-08 Adom Giffin

While Large Language Models (LLMs) excel in certain reasoning tasks, they struggle in multi-agent games where the final outcome depends on the joint strategies of all agents. In multi-agent games, the non-stationarity of other agents brings…

Artificial Intelligence · Computer Science 2026-05-26 Yidong He , Yutao Lai , Pengxu Yang , Jiarui Gan , Jiexin Wang , Yi Cai , Mengchen Zhao

Within the domain of Massively Multiplayer Online (MMO) economy research, Agent-Based Modeling (ABM) has emerged as a robust tool for analyzing game economics, evolving from rule-based agents to decision-making agents enhanced by…

Artificial Intelligence · Computer Science 2025-06-06 Bihan Xu , Shiwei Zhao , Runze Wu , Zhenya Huang , Jiawei Wang , Zhipeng Hu , Kai Wang , Haoyu Liu , Tangjie Lv , Le Li , Changjie Fan , Xin Tong , Jiangze Han

We introduce Game networks (G nets), a novel representation for multi-agent decision problems. Compared to other game-theoretic representations, such as strategic or extensive forms, G nets are more structured and more compact; more…

Computer Science and Game Theory · Computer Science 2024-01-18 Pierfrancesco La Mura

In the naming game, individuals or agents exchange pairwise local information in order to communicate about objects in their common environment. The goal of the game is to reach a consensus about naming these objects. Originally used to…

Multiagent Systems · Computer Science 2009-12-24 Reginaldo J. da Silva Filho , Matthias R. Brust , Carlos H. C. Ribeiro

The complexity of the Metropolis-Hastings (MH) algorithm arises from the requirement of a likelihood evaluation for the full data set in each iteration. Payne and Mallick (2015) propose to speed up the algorithm by a delayed acceptance…

Computation · Statistics 2017-03-23 Matias Quiroz , Minh-Ngoc Tran , Mattias Villani , Robert Kohn

Recent advances in agent development have focused on scaling model size and raw interaction data, mirroring successes in large language models. However, for complex, long-horizon multi-agent tasks such as robotic soccer, this end-to-end…

Artificial Intelligence · Computer Science 2025-11-05 Brennen Hill

When controlling multi-agent systems, the trade-off between performance and scalability is a major challenge. Here, we address this difficulty by using mean field games (MFGs), which is a framework that deduces the macroscopic dynamics…

Optimization and Control · Mathematics 2021-08-06 Daisuke Inoue , Yuji Ito , Takahito Kashiwabara , Norikazu Saito , Hiroaki Yoshida

Research in multi-agent cooperation has shown that artificial agents are able to learn to play a simple referential game while developing a shared lexicon. This lexicon is not easy to analyze, as it does not show many properties of a…

Computation and Language · Computer Science 2019-11-06 Roberto Dessì , Diane Bouchacourt , Davide Crepaldi , Marco Baroni

Multi-agent systems (MAS) extend large language models (LLMs) from independent single-model reasoning to coordinative system-level intelligence. While existing LLM agents depend on text-based mediation for reasoning and communication, we…

Computation and Language · Computer Science 2025-12-09 Jiaru Zou , Xiyuan Yang , Ruizhong Qiu , Gaotang Li , Katherine Tieu , Pan Lu , Ke Shen , Hanghang Tong , Yejin Choi , Jingrui He , James Zou , Mengdi Wang , Ling Yang

Current macroeconomic models with agent heterogeneity can be broadly divided into two main groups. Heterogeneous-agent general equilibrium (GE) models, such as those based on Heterogeneous Agent New Keynesian (HANK) or Krusell-Smith (KS)…

Multiagent Systems · Computer Science 2026-02-17 Federico Gabriele , Aldo Glielmo , Marco Taboga

Recent work has shown that energy-based language modeling is an effective framework for controllable text generation because it enables flexible integration of arbitrary discriminators. However, because energy-based LMs are globally…

Computation and Language · Computer Science 2023-12-08 Jarad Forristal , Niloofar Mireshghallah , Greg Durrett , Taylor Berg-Kirkpatrick

Large Language Models (LLMs) are increasingly applied to domains that require reasoning about other agents' behavior, such as negotiation, policy design, and market simulation, yet existing research has mostly evaluated their adherence to…

Artificial Intelligence · Computer Science 2025-10-14 Enric Junque de Fortuny , Veronica Roberta Cappelli

An agent-based computational economical toy model for the emergence of money from the initial barter trading, inspired by Menger's postulate that money can spontaneously emerge in a commodity exchange economy, is extensively studied. The…

Statistical Finance · Quantitative Finance 2015-12-09 Paweł Oświęcimka , Stanisław Drożdż , Robert Gębarowski , Andrzej Z. Górski , Jarosław Kwapień

Many supervised machine learning tasks, such as future state prediction in dynamical systems, require precise modeling of a forecast's uncertainty. The Multiple Hypotheses Prediction (MHP) approach addresses this problem by providing…

Machine Learning · Computer Science 2021-10-07 Tobias Leemann , Moritz Sackmann , Jörn Thielecke , Ulrich Hofmann

We model messaging activities as a hierarchical doubly stochastic point process with three main levels, and develop an iterative algorithm for inferring actors' relative latent positions from a stream of messaging activity data. Each of the…

Machine Learning · Statistics 2013-04-26 Nam H. Lee , Jordan Yoder , Minh Tang , Carey E Priebe

Particle Metropolis-Hastings (PMH) allows for Bayesian parameter inference in nonlinear state space models by combining Markov chain Monte Carlo (MCMC) and particle filtering. The latter is used to estimate the intractable likelihood. In…

Computation · Statistics 2016-04-01 Johan Dahlin , Fredrik Lindsten , Thomas B. Schön

This paper aims to develop a paradigm that models the learning behavior of intelligent agents (including but not limited to autonomous vehicles, connected and automated vehicles, or human-driven vehicles with intelligent navigation systems…

Machine Learning · Computer Science 2022-03-01 Zhenyu Shou , Xu Chen , Yongjie Fu , Xuan Di