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In this chapter, an integer linear programming formulation for the problem of obtaining task-relevant, multi-resolution, environment abstractions for resource-constrained autonomous agents is presented. The formulation leverages concepts…

Information Theory · Computer Science 2022-08-09 Daniel T. Larsson , Dipankar Maity , Panagiotis Tsiotras

In this paper, we develop a framework to obtain graph abstractions for decision-making by an agent where the abstractions emerge as a function of the agent's limited computational resources. We discuss the connection of the proposed…

Robotics · Computer Science 2021-02-22 Daniel T. Larsson , Dipankar Maity , Panagiotis Tsiotras

In this paper, we develop a framework for path-planning on abstractions that are not provided to the agent a priori but instead emerge as a function of the available computational resources. We show how a path-planning problem in an…

Robotics · Computer Science 2021-07-29 Daniel T. Larsson , Dipankar Maity , Panagiotis Tsiotras

In this paper, we consider establishing a formal connection between two distinct tree-abstraction problems inspired by the information-bottleneck (IB) method. Specifically, we consider the hard- and soft-constrained formulations that have…

Information Theory · Computer Science 2025-12-02 Daniel T. Larsson , Dipankar Maity , Panagiotis Tsiotras

Many problems of interest for cyber-physical network systems can be formulated as Mixed-Integer Linear Programs in which the constraints are distributed among the agents. In this paper we propose a distributed algorithmic framework to solve…

Optimization and Control · Mathematics 2019-06-05 Andrea Testa , Alessandro Rucco , Giuseppe Notarstefano

We present a class of linear programming approximations for constrained optimization problems. In the case of mixed-integer polynomial optimization problems, if the intersection graph of the constraints has bounded tree-width our…

Optimization and Control · Mathematics 2016-10-20 Daniel Bienstock , Gonzalo Munoz

We present a new mixed integer formulation for the discrete informative path planning problem in random fields. The objective is to compute a budget constrained path while collecting measurements whose linear estimate results in minimum…

Systems and Control · Electrical Eng. & Systems 2022-04-21 Shamak Dutta , Nils Wilde , Stephen L. Smith

Bounded agents are limited by intrinsic constraints on their ability to process information that is available in their sensors and memory and choose actions and memory updates. In this dissertation, we model these constraints as…

Machine Learning · Computer Science 2017-03-31 Roy Fox

Many problems of interest for cyber-physical network systems can be formulated as Mixed Integer Linear Programs in which the constraints are distributed among the agents. In this paper we propose a distributed algorithm to solve this class…

Optimization and Control · Mathematics 2017-12-06 Andrea Testa , Alessandro Rucco , Giuseppe Notarstefano

This work introduces an end-to-end graph-based agent for accelerating the computational efficiency of Benders Decomposition. The agent's policy is parameterized by a graph neural network which takes as input a bipartite graph representation…

Optimization and Control · Mathematics 2025-11-18 Bernard T. Agyeman , Zhe Li , Ilias Mitrai , Prodromos Daoutidis

Several novel mixed-integer linear and bilinear formulations are proposed for the optimum communication spanning tree problem. They implement the distance-based approach: graph distances are directly modeled by continuous, integral, or…

Optimization and Control · Mathematics 2021-01-12 Alexander Veremyev , Mikhail Goubko

Information bottleneck (IB) is a technique for extracting information in one random variable $X$ that is relevant for predicting another random variable $Y$. IB works by encoding $X$ in a compressed "bottleneck" random variable $M$ from…

Information Theory · Computer Science 2022-11-22 Artemy Kolchinsky , Brendan D. Tracey , David H. Wolpert

The information bottleneck (IB) method seeks a compressed representation of data that preserves information relevant to a target variable for prediction while discarding irrelevant information from the original data. In its classical…

Information Theory · Computer Science 2026-02-23 Akira Kamatsuka , Takahiro Yoshida

Motivated by exploration of communication-constrained underground environments using robot teams, we study the problem of planning for intermittent connectivity in multi-agent systems. We propose a novel concept of information-consistency…

Robotics · Computer Science 2019-11-21 Filip Klaesson , Petter Nilsson , Aaron D. Ames , Richard M. Murray

In this paper, we investigate the constraint typology of mixed-integer linear programming MILP formulations. MILP is a commonly used mathematical programming technique for modelling and solving real-life scheduling, routing, planning,…

Artificial Intelligence · Computer Science 2021-03-02 Vicky Mak-Hau , John Yearwood , William Moran

Learning abstractions directly from data is a core challenge in robotics. Humans naturally operate at an abstract level, reasoning over high-level subgoals while delegating execution to low-level motor skills -- an ability that enables…

Robotics · Computer Science 2026-03-23 Abhiroop Ajith , Constantinos Chamzas

Clear and concise code is necessary to ensure maintainability, so it is crucial that the software is as simple as possible to understand, to avoid bugs and, above all, vulnerabilities. There are many ways to enhance software without…

Software Engineering · Computer Science 2026-01-30 Adriana Novoa-Hurtado , Rubén Saborido , Francisco Chicano , Manuel Giménez-Medina

Real-world congestion problems (e.g. traffic congestion) are typically very complex and large-scale. Multiagent reinforcement learning (MARL) is a promising candidate for dealing with this emerging complexity by providing an autonomous and…

Multiagent Systems · Computer Science 2020-09-02 Kleanthis Malialis , Sam Devlin , Daniel Kudenko

In many applications, it is desirable to extract only the relevant aspects of data. A principled way to do this is the information bottleneck (IB) method, where one seeks a code that maximizes information about a 'relevance' variable, Y,…

Machine Learning · Statistics 2016-10-27 Matthew Chalk , Olivier Marre , Gasper Tkacik

Many scenarios where agents with restrictions compete for resources can be cast as maximum matching problems on bipartite graphs. Our focus is on resource allocation problems where agents may have restrictions that make them incompatible…

Artificial Intelligence · Computer Science 2022-09-13 Yohai Trabelsi , Abhijin Adiga , Sarit Kraus , S. S. Ravi
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