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We formulate a very general framework for optimal dynamic stochastic control problems which allows for a control-dependent informational structure. The issue of informational consistency is investigated. Bellman's principle is formulated…

Probability · Mathematics 2018-05-16 Saul Jacka , Matija Vidmar

In this paper, we explore a scenario where a sender provides an information policy and a receiver, upon observing a realization of this policy, decides whether to take a particular action, such as making a purchase. The sender's objective…

Numerical Analysis · Mathematics 2024-12-13 Jorge Justiniano , Andreas Kleiner , Benny Moldovanu , Martin Rumpf , Philipp Strack

The task of driver attention prediction has drawn considerable interest among researchers in robotics and the autonomous vehicle industry. Driver attention prediction can play an instrumental role in mitigating and preventing high-risk…

Computer Vision and Pattern Recognition · Computer Science 2021-11-24 Yuan Shen , Niviru Wijayaratne , Pranav Sriram , Aamir Hasan , Peter Du , Katie Driggs-Campbell

When additional information sources are available in decision making problems that allow stochastic optimization formulations, an important question is how to optimally use the information the sources are capable of providing. A framework…

Data Analysis, Statistics and Probability · Physics 2013-02-04 Eugene Perevalov , David Grace

Over the last 70 years, we, humans, have created an economic market where attention is being captured and turned into money thanks to advertising. During the last two decades, leveraging research in psychology, sociology, neuroscience and…

Social and Information Networks · Computer Science 2025-05-14 Franck Michel , Fabien Gandon

Attention has been proved to be an efficient mechanism to capture long-range dependencies. However, so far it has not been deployed in invertible networks. This is due to the fact that in order to make a network invertible, every component…

Computer Vision and Pattern Recognition · Computer Science 2021-06-29 Jiajun Zha , Yiran Zhong , Jing Zhang , Richard Hartley , Liang Zheng

A seller sells an object over time but is uncertain how the buyer learns their willingness-to-pay. We consider informational robustness under \textit{limited commitment}, where the seller offers a price \textit{each period} to maximize…

Theoretical Economics · Economics 2025-09-10 Zihao Li , Jonathan Libgober , Xiaosheng Mu

In many areas of applied mathematics, engineering, and social and natural sciences, decentralization of information is a key aspect determining how to approach a problem. In this review article, we study information structures in a…

Optimization and Control · Mathematics 2020-10-16 Naci Saldi , Serdar Yuksel

Relational reasoning is a central component of generally intelligent systems, enabling robust and data-efficient inductive generalization. Recent empirical evidence shows that many existing neural architectures, including Transformers,…

Machine Learning · Computer Science 2025-06-23 Awni Altabaa , John Lafferty

The task of driver attention prediction has drawn considerable interest among researchers in robotics and the autonomous vehicle industry. Driver attention prediction can play an instrumental role in mitigating and preventing high-risk…

Computer Vision and Pattern Recognition · Computer Science 2022-07-11 Yuan Shen , Niviru Wijayaratne , Pranav Sriram , Aamir Hasan , Peter Du , Katherine Driggs-Campbell

What is information originating in observation? Until now it has no scientifically conclusive definition. Information is memorized entropy cutting in random observations which processing interactions. Randomness of various interactive…

Adaptation and Self-Organizing Systems · Physics 2016-05-26 Vladimir S. Lerner

In a sequential decision-making problem, the information structure is the description of how events in the system occurring at different points in time affect each other. Classical models of reinforcement learning (e.g., MDPs, POMDPs)…

Machine Learning · Computer Science 2024-05-29 Awni Altabaa , Zhuoran Yang

Transformers have achieved remarkable success in sequence modeling and beyond but suffer from quadratic computational and memory complexities with respect to the length of the input sequence. Leveraging techniques include sparse and linear…

Machine Learning · Computer Science 2022-08-02 Tan Nguyen , Richard G. Baraniuk , Robert M. Kirby , Stanley J. Osher , Bao Wang

We frame dynamic persuasion in a partial observation stochastic control Leader-Follower game with an ergodic criterion. The Receiver controls the dynamics of a multidimensional unobserved state process. Information is provided to the…

Optimization and Control · Mathematics 2025-06-23 René Aïd , Ofelia Bonesini , Giorgia Callegaro , Luciano Campi

Intelligent behavior in life-like systems often arises from the ability to gather, process, and act on information. While active matter provides a framework for studying life-like dynamics, it typically omits internal information-processing…

Statistical Mechanics · Physics 2026-03-02 Kristian Stølevik Olsen , Mitsusuke Tarama , Hartmut Löwen

We model search in settings where decision makers know what can be found but not where to find it. A searcher faces a set of choices arranged by an observable attribute. Each period, she either selects a choice and pays a cost to learn…

Theoretical Economics · Economics 2025-04-29 Martino Banchio , Suraj Malladi

How does the brain control attention? The Attention Schema Theory suggests that the brain explicitly models its state of attention, termed an attention schema, for its control. However, it remains unclear under which circumstances an…

Neurons and Cognition · Quantitative Biology 2024-05-09 Lotta Piefke , Adrien Doerig , Tim Kietzmann , Sushrut Thorat

Existing attention mechanisms either attend to local image grid or object level features for Visual Question Answering (VQA). Motivated by the observation that questions can relate to both object instances and their parts, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2021-08-30 Moshiur R Farazi , Salman H Khan

We explore the connection between an agent's decision problem and her ranking of information structures. We find that a finite amount of ordinal data on the agent's ranking of experiments is enough to identify her (finite) set of…

Theoretical Economics · Economics 2024-04-02 Mark Whitmeyer

When decision makers evaluate a sequence of rewards, they may pay more attention to larger rewards and, given attention is limited, less attention to smaller rewards. They may also become less attentive to each reward when attention is…

Theoretical Economics · Economics 2025-05-20 Zijian Zark Wang