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In many real-world applications (e.g., planetary exploration, robot navigation), an autonomous agent must be able to explore a space with guaranteed safety. Most safe exploration algorithms in the field of reinforcement learning and…

Artificial Intelligence · Computer Science 2018-09-13 Akifumi Wachi , Hiroshi Kajino , Asim Munawar

Optimal decision-making presents a significant challenge for autonomous systems operating in uncertain, stochastic and time-varying environments. Environmental variability over time can significantly impact the system's optimal decision…

Robotics · Computer Science 2024-03-11 Gokul Puthumanaillam , Xiangyu Liu , Negar Mehr , Melkior Ornik

We investigate the problem of optimal control synthesis for Markov Decision Processes (MDPs), addressing both qualitative and quantitative objectives. Specifically, we require the system to satisfy a qualitative task specified by a Linear…

Systems and Control · Electrical Eng. & Systems 2025-09-19 Yu Chen , Xuanyuan Yin , Shaoyuan Li , Xiang Yin

Search and rescue missions and surveillance require finding targets in a large area. These tasks often use unmanned aerial vehicles (UAVs) with cameras to detect and move towards a target. However, common UAV approaches make two simplifying…

Artificial Intelligence · Computer Science 2018-01-08 Aayush Gupta , Daniel Bessonov , Patrick Li

In supervised learning, we fit a single statistical model to a given data set, assuming that the data is associated with a singular task, which yields well-tuned models for specific use, but does not adapt well to new contexts. By contrast,…

Machine Learning · Computer Science 2020-09-11 Bingjia Wang , Alec Koppel , Vikram Krishnamurthy

Markov decision processes (MDPs) describe sequential decision-making processes; MDP policies return for every state in that process an advised action. Classical algorithms can efficiently compute policies that are optimal with respect to,…

Logic in Computer Science · Computer Science 2025-05-23 Roman Andriushchenko , Milan Češka , Sebastian Junges , Filip Macák

We consider the online planning problem for a team of agents to discover and track an unknown and time-varying number of moving objects from onboard sensor measurements with uncertain measurement-object origins. Since the onboard sensors…

Multiagent Systems · Computer Science 2024-07-09 Hoa Van Nguyen , Ba-Ngu Vo , Ba-Tuong Vo , Hamid Rezatofighi , Damith C. Ranasinghe

This paper examines a number of solution methods for decision processes with non-Markovian rewards (NMRDPs). They all exploit a temporal logic specification of the reward function to automatically translate the NMRDP into an equivalent…

Artificial Intelligence · Computer Science 2012-12-12 Charles Gretton , David Price , Sylvie Thiebaux

Recent research in decision theoretic planning has focussed on making the solution of Markov decision processes (MDPs) more feasible. We develop a family of algorithms for structured reachability analysis of MDPs that are suitable when an…

Artificial Intelligence · Computer Science 2013-04-24 Craig Boutilier , Ronen I. Brafman , Christopher W. Geib

Planning under uncertainty is critical to robotics. The Partially Observable Markov Decision Process (POMDP) is a mathematical framework for such planning problems. It is powerful due to its careful quantification of the non-deterministic…

Robotics · Computer Science 2021-07-19 Hanna Kurniawati

We consider a class of optimization problems over stochastic variables where the algorithm can learn information about the value of any variable through a series of costly steps; we model this information acquisition process as a Markov…

Data Structures and Algorithms · Computer Science 2025-07-25 Shuchi Chawla , Dimitris Christou , Amit Harlev , Ziv Scully

We propose a novel algorithm to solve multi-robot motion planning (MRMP) rapidly, called Simultaneous Sampling-and-Search Planning (SSSP). Conventional MRMP studies mostly take the form of two-phase planning that constructs roadmaps and…

Robotics · Computer Science 2023-05-08 Keisuke Okumura , Xavier Défago

In this paper, we consider the optimal stopping problem on semi-Markov processes (SMPs) with finite horizon, and aim to establish the existence and computation of optimal stopping times. To achieve the goal, we first develop the main…

Probability · Mathematics 2021-07-16 Fang Chen , Xianping Guo , Zhong-Wei Liao

In this paper, we develop a Topological Approximate Dynamic Programming (TADP) method for planningin stochastic systems modeled as Markov Decision Processesto maximize the probability of satisfying high-level systemspecifications expressed…

Optimization and Control · Mathematics 2020-08-04 Lening Li , Jie Fu

The new frontier in cellular networks is harnessing the enormous spectrum available at millimeter wave (mmWave) frequencies above 28 GHz. The challenging radio propagation characteristics at these frequencies, and the use of highly…

Networking and Internet Architecture · Computer Science 2016-06-08 Marco Mezzavilla , Sanjay Goyal , Shivendra Panwar , Sundeep Rangan , Michele Zorzi

This paper proposes a slot-based energy storage approach for decision-making in the context of an Off-Grid telecommunication operator. We consider network systems powered by solar panels, where harvest energy is stored in a battery that can…

Optimization and Control · Mathematics 2025-12-09 Youssef Ait El Mahjoub , Jean-Michel Fourneau

We study the problem of finding statistically distinct plans for stochastic planning and task assignment problems such as online multi-robot pickup and delivery (MRPD) when facing multiple competing objectives. In many real-world settings…

Robotics · Computer Science 2023-12-13 Nils Wilde , Javier Alonso-Mora

Multi-model Markov decision process (MMDP) is a promising framework for computing policies that are robust to parameter uncertainty in MDPs. MMDPs aim to find a policy that maximizes the expected return over a distribution of MDP models.…

Machine Learning · Computer Science 2025-07-15 Xihong Su , Marek Petrik

The optimal robot assembly planning problem is challenging due to the necessity of finding the optimal solution amongst an exponentially vast number of possible plans, all while satisfying a selection of constraints. Traditionally, robotic…

Robotics · Computer Science 2025-02-25 Kartik Nagpal , Negar Mehr

Space mission planning and spacecraft design are tightly coupled and need to be considered together for optimal performance; however, this integrated optimization problem results in a large-scale Mixed-Integer Nonlinear Programming (MINLP)…

Optimization and Control · Mathematics 2025-08-27 Masafumi Isaji , Yuji Takubo , Koki Ho