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A general theory of stochastic extensive forms is developed to bridge two concepts of information flow: decision trees and refined partitions on the one side, filtrations from probability theory on the other. Instead of the traditional…

Theoretical Economics · Economics 2024-11-27 E. Emanuel Rapsch

As data-driven methods are deployed in real-world settings, the processes that generate the observed data will often react to the decisions of the learner. For example, a data source may have some incentive for the algorithm to provide a…

Machine Learning · Computer Science 2023-04-26 Roy Dong , Heling Zhang , Lillian J. Ratliff

We propose a stochastic model of opinion exchange in networks. A finite set of agents is organized in a fixed network structure. There is a binary state of the world and each agent receives a private signal on the state. We model beliefs as…

Theoretical Economics · Economics 2022-01-31 Emilien Macault

We consider the model of cooperative learning via distributed non-Bayesian learning, where a network of agents tries to jointly agree on a hypothesis that best described a sequence of locally available observations. Building upon recently…

Optimization and Control · Mathematics 2020-10-21 Eduardo Mojica-Nava , David Yanguas-Rojas , César A. Uribe

We study stochastic multi-agent systems in which agents must cooperate to maximize the probability of achieving a common reach-avoid objective. In many applications, during the execution of the system, the communication between the agents…

Multiagent Systems · Computer Science 2025-05-20 Saleh Soudijani , Rayna Dimitrova

There is a rich literature for modeling binary and polychotomous responses. However, existing methods are inadequate for handling combinatorial responses, where each response is an integer array under additional constraints. Such data are…

Methodology · Statistics 2026-05-05 Yu Zheng , Malay Ghosh , Leo Duan

This paper considers linear quadratic team decision problems where the players in the team affect each other's information structure through their decisions. Whereas the stochastic version of the problem is well known to be complex with…

Optimization and Control · Mathematics 2013-02-05 Ather Gattami

Reliable forecasting of the future behavior of road agents is a critical component to safe planning in autonomous vehicles. Here, we represent continuous trajectories as sequences of discrete motion tokens and cast multi-agent motion…

Computer Vision and Pattern Recognition · Computer Science 2023-09-29 Ari Seff , Brian Cera , Dian Chen , Mason Ng , Aurick Zhou , Nigamaa Nayakanti , Khaled S. Refaat , Rami Al-Rfou , Benjamin Sapp

Conditional belief networks introduce stochastic binary variables in neural networks. Contrary to a classical neural network, a belief network can predict more than the expected value of the output $Y$ given the input $X$. It can predict a…

Machine Learning · Computer Science 2016-05-03 Yann N. Dauphin , David Grangier

We consider the problem of strategic classification, where a learner must build a model to classify agents based on features that have been strategically modified. Previous work in this area has concentrated on the case when the learner is…

Machine Learning · Computer Science 2025-05-19 Jack Geary , Henry Gouk

In various online/offline multi-agent networked environments, it is very popular that the system can benefit from coordinating actions of two interacting agents at some cost of coordination. In this paper, we first formulate an optimization…

Systems and Control · Computer Science 2018-09-14 Hyeryung Jang , Jinwoo Shin , Yung Yi

We consider the problem of computing the set of initial states of a dynamical system such that there exists a control strategy to ensure that the trajectories satisfy a temporal logic specification with probability 1 (almost-surely). We…

Systems and Control · Computer Science 2015-02-24 Maria Svorenova , Jan Kretinsky , Martin Chmelik , Krishnendu Chatterjee , Ivana Cerna , Calin Belta

This paper extends my research applying statistical decision theory to treatment choice with sample data, using maximum regret to evaluate the performance of treatment rules. The specific new contribution is to study as-if optimization…

Econometrics · Economics 2021-10-05 Charles F. Manski

This paper considers risk-sensitive model predictive control for stochastic systems with a decision-dependent distribution. This class of systems is commonly found in human-robot interaction scenarios. We derive computationally tractable…

Optimization and Control · Mathematics 2025-06-02 Renzi Wang , Mathijs Schuurmans , Panagiotis Patrinos

This paper introduces distribution-based prediction, a novel approach to using Large Language Models (LLMs) as predictive tools by interpreting output token probabilities as distributions representing the models' learned representation of…

Artificial Intelligence · Computer Science 2024-11-07 Caleb Bradshaw , Caelen Miller , Sean Warnick

We introduce a stochastic principal-agent model. A principal and an agent interact in a stochastic environment, each privy to observations about the state not available to the other. The principal has the power of commitment, both to elicit…

Computer Science and Game Theory · Computer Science 2024-09-13 Jiarui Gan , Rupak Majumdar , Debmalya Mandal , Goran Radanovic

We propose an interactive multimodal framework for language learning. Instead of being passively exposed to large amounts of natural text, our learners (implemented as feed-forward neural networks) engage in cooperative referential games…

Computation and Language · Computer Science 2016-05-24 Angeliki Lazaridou , Nghia The Pham , Marco Baroni

This paper studies the problem of robust spectrum-aware routing in a multi-hop, multi-channel Cognitive Radio Network (CRN) with the presence of malicious nodes in the secondary network. The proposed routing scheme models the interaction…

Networking and Internet Architecture · Computer Science 2018-02-07 Wenbo Wang , Andres Kwasinski , Dusit Niyato , Zhu Han

This work introduces an online Bayesian game-theoretic method for behavior identification in multi-agent dynamical systems. By casting Hamilton-Jacobi-Bellman optimality conditions as linear-in-parameter residuals, the method enables fast…

Systems and Control · Electrical Eng. & Systems 2026-01-09 Francesco Bianchin , Robert Lefringhausen , Sandra Hirche

In this paper, the problem of distributed opportunistic channel access in wireless relaying is investigated. A relay network with multiple source-destination pairs and multiple relays is considered. All the source nodes contend through a…

Information Theory · Computer Science 2015-03-19 Zhou Zhang , Hai Jiang