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In the first part of this paper, we present a unified framework for analyzing the algorithmic complexity of any optimization problem, whether it be continuous or discrete in nature. This helps to formalize notions like "input", "size" and…

Optimization and Control · Mathematics 2022-07-06 Amitabh Basu

In this work, we study the problem of actively classifying the attributes of dynamical systems characterized as a finite set of Markov decision process (MDP) models. We are interested in finding strategies that actively interact with the…

Systems and Control · Electrical Eng. & Systems 2023-01-06 Bo Wu , Niklas Lauffer , Mohamadreza Ahmadi , Suda Bharadwaj , Zhe Xu , Ufuk Topcu

The surge of explainable artificial intelligence methods seeks to enhance transparency and explainability in machine learning models. At the same time, there is a growing demand for explaining decisions taken through complex algorithms used…

Optimization and Control · Mathematics 2025-06-19 Daan Otto , Jannis Kurtz , S. Ilker Birbil

We have proposed novel measures based on the Kolmogorov complexity for use in complex system behavior studies and time series analysis. We have considered background of the Kolmogorov complexity and also we have discussed meaning of the…

Chaotic Dynamics · Physics 2013-10-07 Dragutin T. Mihailovic , Gordan Mimic , Emilija Nikolic-Djoric , Ilija Arsenic

The objective of this work is to augment the basic abilities of a robot by learning to use sensorimotor primitives to solve complex long-horizon manipulation problems. This requires flexible generative planning that can combine primitive…

Robotics · Computer Science 2021-05-06 Zi Wang , Caelan Reed Garrett , Leslie Pack Kaelbling , Tomás Lozano-Pérez

We are witnessing an increasing use of data-driven predictive models to inform decisions. As decisions have implications for individuals and society, there is increasing pressure on decision makers to be transparent about their decision…

This paper establishes a theoretical foundation for understanding the fundamental limits of AI explainability through algorithmic information theory. We formalize explainability as the approximation of complex models by simpler ones,…

Artificial Intelligence · Computer Science 2025-11-04 Shrisha Rao

Although procedural generation is popular among game developers, academic research on the topic has primarily focused on new applications, with some research into empirical analysis. In this paper we relate theoretical work in information…

Artificial Intelligence · Computer Science 2023-05-04 Younès Rabii , Michael Cook

Efficient behavior and trajectory planning is one of the major challenges for automated driving. Especially intersection scenarios are very demanding due to their complexity arising from the variety of maneuver possibilities and other…

Robotics · Computer Science 2019-07-24 Oliver Speidel , Maximilian Graf , Thanh Phan-Huu , Klaus Dietmayer

The particle swarm approach provides a low complexity solution to the optimization problem among various existing heuristic algorithms. Recent advances in the algorithm resulted in improved performance at the cost of increased computational…

Neural and Evolutionary Computing · Computer Science 2013-04-16 Muhammad Omer Bin Saeed , Muhammad Saqib Sohail , Syed Zeeshan Rizvi , Mobien Shoaib , Asrar Ul Haq Sheikh

We propose a new method for optimistic planning in infinite-horizon discounted Markov decision processes based on the idea of adding regularization to the updates of an otherwise standard approximate value iteration procedure. This…

Machine Learning · Computer Science 2023-06-16 Antoine Moulin , Gergely Neu

Partially observable Markov decision processes (POMDPs) are standard models for dynamic systems with probabilistic and nondeterministic behaviour in uncertain environments. We prove that in POMDPs with long-run average objective, the…

Computer Science and Game Theory · Computer Science 2022-09-29 Krishnendu Chatterjee , Raimundo Saona , Bruno Ziliotto

The problem of constrained Markov decision process is considered. An agent aims to maximize the expected accumulated discounted reward subject to multiple constraints on its costs (the number of constraints is relatively small). A new dual…

Optimization and Control · Mathematics 2022-10-21 Egor Gladin , Maksim Lavrik-Karmazin , Karina Zainullina , Varvara Rudenko , Alexander Gasnikov , Martin Takáč

Robotic agents performing domestic chores by natural language directives are required to master the complex job of navigating environment and interacting with objects in the environments. The tasks given to the agents are often composite…

Robotics · Computer Science 2024-03-14 Suvaansh Bhambri , Byeonghwi Kim , Jonghyun Choi

Using game and probability theories, I study the French popular game 421, a perfect information stochastic stage game. The problem is to find strategies maximizing the probability of some expected utility. I only solve a player's round…

Optimization and Control · Mathematics 2007-05-23 Pierre Albarede

Robot sequential decision-making in the real world is a challenge because it requires the robots to simultaneously reason about the current world state and dynamics, while planning actions to accomplish complex tasks. On the one hand,…

Artificial Intelligence · Computer Science 2023-10-03 Shiqi Zhang , Piyush Khandelwal , Peter Stone

We study a sequential decision-making model where a set of items is repeatedly matched to the same set of agents over multiple rounds. The objective is to determine a sequence of matchings that either maximizes the utility of the least…

Computer Science and Game Theory · Computer Science 2025-10-07 Eugene Lim , Tzeh Yuan Neoh , Nicholas Teh

Trained humans exhibit highly agile spatial skills, enabling them to operate vehicles with complex dynamics in demanding tasks and conditions. Prior work shows that humans achieve this performance by using strategies such as satisficing,…

Systems and Control · Electrical Eng. & Systems 2020-04-28 Andrew Feit , Bérénice Mettler

This paper focuses on managing the cost of deliberation before action. In many problems, the overall quality of the solution reflects costs incurred and resources consumed in deliberation as well as the cost and benefit of execution, when…

Artificial Intelligence · Computer Science 2013-04-05 David Einav , Michael R. Fehling

Soft goals extend the classical model of planning with a simple model of preferences. The best plans are then not the ones with least cost but the ones with maximum utility, where the utility of a plan is the sum of the utilities of the…

Artificial Intelligence · Computer Science 2014-01-16 Emil Keyder , Hector Geffner