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Bayesian Optimisation has gained much popularity lately, as a global optimisation technique for functions that are expensive to evaluate or unknown a priori. While classical BO focuses on where to gather an observation next, it does not…

Robotics · Computer Science 2017-03-14 Philippe Morere , Roman Marchant , Fabio Ramos

Partially Observable Markov Decision Processes (POMDPs) are the standard framework for decision-making under uncertainty. While sampling-based methods scale well, they lack formal correctness guarantees, making them unsuitable for…

Artificial Intelligence · Computer Science 2026-05-15 Debraj Chakraborty , Anirban Majumdar , Prince Mathew , Sayan Mukherjee , Jean-François Raskin

Dynamic Programming (DP) and Constraint Programming (CP) are well-established paradigms for solving combinatorial optimization problems. Usually, these two approaches are used separately. This paper aims to show that the two can be combined…

Artificial Intelligence · Computer Science 2026-05-25 Emma Legrand , Roger Kameugne , Pierre Schaus

Uncertainties in dynamic road environments pose significant challenges for behavior and trajectory planning in autonomous driving. This paper introduces Hi-Drive, a hierarchical planning algorithm addressing uncertainties at both behavior…

Robotics · Computer Science 2025-10-16 Xuanjin Jin , Chendong Zeng , Shengfa Zhu , Chunxiao Liu , Panpan Cai

Monte-Carlo tree search (MCTS) has driven many recent breakthroughs in deep reinforcement learning (RL). However, scaling MCTS to parallel compute has proven challenging in practice which has motivated alternative planners like sequential…

Machine Learning · Computer Science 2025-07-09 Joery A. de Vries , Jinke He , Yaniv Oren , Matthijs T. J. Spaan

Partially-Observable Markov Decision Processes (POMDPs) are typically solved by finding an approximate global solution to a corresponding belief-MDP. In this paper, we offer a new planning algorithm for POMDPs with continuous state, action…

Artificial Intelligence · Computer Science 2012-03-19 Tom Erez , William D. Smart

Sequential Monte Carlo techniques are useful for state estimation in non-linear, non-Gaussian dynamic models. These methods allow us to approximate the joint posterior distribution using sequential importance sampling. In this framework,…

Computation · Statistics 2012-07-09 Mike Klaas , Nando de Freitas , Arnaud Doucet

In recent years several learning approaches to point goal navigation in previously unseen environments have been proposed. They vary in the representations of the environments, problem decomposition, and experimental evaluation. In this…

Robotics · Computer Science 2022-12-20 Yimeng Li , Arnab Debnath , Gregory J. Stein , Jana Kosecka

We consider partially observable Markov decision processes (POMDPs) with a set of target states and positive integer costs associated with every transition. The traditional optimization objective (stochastic shortest path) asks to minimize…

Artificial Intelligence · Computer Science 2016-05-12 Tomáš Brázdil , Krishnendu Chatterjee , Martin Chmelík , Anchit Gupta , Petr Novotný

We propose Parallelised Diffeomorphic Sampling-based Motion Planning (PDMP). PDMP is a novel parallelised framework that uses bijective and differentiable mappings, or diffeomorphisms, to transform sampling distributions of sampling-based…

Robotics · Computer Science 2021-09-24 Tin Lai , Weiming Zhi , Tucker Hermans , Fabio Ramos

Possibilistic and qualitative POMDPs (pi-POMDPs) are counterparts of POMDPs used to model situations where the agent's initial belief or observation probabilities are imprecise due to lack of past experiences or insufficient data…

Artificial Intelligence · Computer Science 2013-09-27 Nicolas Drougard , Florent Teichteil-Konigsbuch , Jean-Loup Farges , Didier Dubois

Sequential Monte Carlo algorithms (also known as particle filters) are popular methods to approximate filtering (and related) distributions of state-space models. However, they converge at the slow $1/\sqrt{N}$ rate, which may be an issue…

Computation · Statistics 2015-03-06 Nicolas Chopin , Mathieu Gerber

This work investigates the challenge of ensuring safety guarantees in the presence of uncontrollable agents, whose behaviors are stochastic and depend on both their own and the system's states. We present a neural model predictive control…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Shuqi Wang , Mingyang Feng , Yu Chen , Yue Gao , Xiang Yin

We study the $(\varepsilon, \delta)$-PAC policy identification problem in finite-horizon episodic Markov Decision Processes. Existing approaches provide finite-time guarantees for approximate settings ($\varepsilon>0$) but suffer from high…

Machine Learning · Computer Science 2026-05-06 Cyrille Kone , Kevin Jamieson

Partially Observable Markov Decision Processes (POMDPs) can model complex sequential decision-making problems under stochastic and uncertain environments. A main reason hindering their broad adoption in real-world applications is the lack…

We consider a class of high-dimensional spatial filtering problems, where the spatial locations of observations are unknown and driven by the partially observed hidden signal. This problem is exceptionally challenging as not only is…

Methodology · Statistics 2024-03-07 Hamza Ruzayqat , Alexandros Beskos , Dan Crisan , Ajay Jasra , Nikolas Kantas

This position paper summarizes a recently developed research program focused on inference in the context of data centric science and engineering applications, and forecasts its trajectory forward over the next decade. Often one endeavours…

Computation · Statistics 2021-12-06 Ajay Jasra , Kody J. H. Law , Alexander Tarakanov , Fangyuan Yu

Differentiable particle filters are an emerging class of particle filtering methods that use neural networks to construct and learn parametric state-space models. In real-world applications, both the state dynamics and measurements can…

Signal Processing · Electrical Eng. & Systems 2023-05-04 Wenhan Li , Xiongjie Chen , Wenwu Wang , Víctor Elvira , Yunpeng Li

Stochastic Optimal Control (SOC) problems arise in systems influenced by uncertainty, such as autonomous robots or financial models. Traditional methods like dynamic programming are often intractable for high-dimensional, nonlinear systems…

Optimization and Control · Mathematics 2025-04-25 Apurva Patil

Many sequential decision problems involve optimizing one objective function while imposing constraints on other objectives. Constrained Partially Observable Markov Decision Processes (C-POMDP) model this case with transition uncertainty and…