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A crucial challenge to efficient and robust motion planning for autonomous vehicles is understanding the intentions of the surrounding agents. Ignoring the intentions of the other agents in dynamic environments can lead to risky or…

Robotics · Computer Science 2019-04-05 Xin Huang , Sungkweon Hong , Andreas Hofmann , Brian C. Williams

In this paper, we are interested in optimal decisions in a partially observable Markov universe. Our viewpoint departs from the dynamic programming viewpoint: we are directly approximating an optimal strategic tree depending on the…

General Mathematics · Mathematics 2007-05-23 Frederic Dambreville

The field of world modeling is fragmented, with researchers developing bespoke architectures that rarely build upon each other. We propose a framework that specifies the natural building blocks for structured world models based on the…

Machine Learning · Computer Science 2025-11-05 Lancelot Da Costa , Sanjeev Namjoshi , Mohammed Abbas Ansari , Bernhard Schölkopf

We propose a neural network architecture, called TransNet, that combines planning and model learning for solving Partially Observable Markov Decision Processes (POMDPs) with non-uniform system dynamics. The past decade has seen a…

Robotics · Computer Science 2019-07-11 Nicholas Collins , Hanna Kurniawati

Data-driven models of robot motion constructed using principles from Geometric Mechanics have been shown to produce useful predictions of robot motion for a variety of robots. For robots with a useful number of DoF, these geometric…

Robotics · Computer Science 2025-06-19 Ruizhen Hu , Shai Revzen

We introduce a Transformer-based Reinforcement Learning framework for autonomous orbital collision avoidance that explicitly models the effects of partial observability and imperfect monitoring in space operations. The framework combines a…

Machine Learning · Computer Science 2026-03-26 Thomas Georges , Adam Abdin

This paper is concerned with planning in stochastic domains by means of partially observable Markov decision processes (POMDPs). POMDPs are difficult to solve. This paper identifies a subclass of POMDPs called region observable POMDPs,…

Artificial Intelligence · Computer Science 2013-02-08 Nevin Lianwen Zhang , Wenju Liu

There is much interest in the Hierarchical Dirichlet Process Hidden Markov Model (HDP-HMM) as a natural Bayesian nonparametric extension of the traditional HMM. However, in many settings the HDP-HMM's strict Markovian constraints are…

Machine Learning · Computer Science 2012-03-19 Matthew J. Johnson , Alan Willsky

Autonomous robots can benefit greatly from human-provided semantic characterizations of uncertain task environments and states. However, the development of integrated strategies which let robots model, communicate, and act on such 'soft…

Robotics · Computer Science 2023-09-01 Luke Burks , Hunter M. Ray , Jamison McGinley , Sousheel Vunnam , Nisar Ahmed

There is much interest in the Hierarchical Dirichlet Process Hidden Markov Model (HDP-HMM) as a natural Bayesian nonparametric extension of the ubiquitous Hidden Markov Model for learning from sequential and time-series data. However, in…

Methodology · Statistics 2012-09-11 Matthew J. Johnson , Alan S. Willsky

Unforeseen events are frequent in the real-world environments where robots are expected to assist, raising the need for fast replanning of the policy in execution to guarantee the system and environment safety. Inspired by human behavioural…

Robotics · Computer Science 2019-06-25 Èric Pairet , Paola Ardón , Michael Mistry , Yvan Petillot

In most real-world reinforcement learning applications, state information is only partially observable, which breaks the Markov decision process assumption and leads to inferior performance for algorithms that conflate observations with…

Machine Learning · Computer Science 2024-06-12 Hongming Zhang , Tongzheng Ren , Chenjun Xiao , Dale Schuurmans , Bo Dai

The problem of identifying geometric structure in data is a cornerstone of (unsupervised) learning. As a result, Geometric Representation Learning has been widely applied across scientific and engineering domains. In this work, we…

Machine Learning · Computer Science 2025-06-03 Imran Nasim , Melanie Weber

In the expeditionary sciences, spatiotemporally varying environments -- hydrothermal plumes, algal blooms, lava flows, or animal migrations -- are ubiquitous. Mobile robots are uniquely well-suited to study these dynamic, mesoscale natural…

Robotics · Computer Science 2022-06-06 Victoria Preston , Genevieve Flaspohler , Anna P. M. Michel , John W. Fisher , Nicholas Roy

The formalism of state estimation and hidden Markov models (HMMs) can simplify and clarify the discussion of stochastic thermodynamics in the presence of feedback and measurement errors. After reviewing the basic formalism, we use it to…

Statistical Mechanics · Physics 2015-11-13 John Bechhoefer

We define a Hidden Markov Model (HMM) in which each hidden state has time-dependent $\textit{activity levels}$ that drive transitions and emissions, and show how to estimate its parameters. Our construction is motivated by the problem of…

Machine Learning · Statistics 2015-07-28 David A. Meyer , Asif Shakeel

Using a novel toy nautical navigation environment, we show that dynamic programming can be used when only incomplete information about a partially observed Markov decision process (POMDP) is known. By incorporating uncertainty into our…

Optimization and Control · Mathematics 2022-07-20 Chris Beeler , Xinkai Li , Colin Bellinger , Mark Crowley , Maia Fraser , Isaac Tamblyn

Hidden Markov Models (HMMs) are foundational tools for modeling sequential data with latent Markovian structure, yet fitting them to real-world data remains computationally challenging. In this work, we show that pre-trained large language…

Machine Learning · Computer Science 2026-04-27 Yijia Dai , Zhaolin Gao , Yahya Sattar , Sarah Dean , Jennifer J. Sun

Multi-robot motion planning (MRMP) is the problem of finding collision-free paths for a set of robots in a continuous state space. The difficulty of MRMP increases with the number of robots and is exacerbated in environments with narrow…

Robotics · Computer Science 2023-11-17 Courtney McBeth , James Motes , Diane Uwacu , Marco Morales , Nancy M. Amato

Hidden Markov Models (HMMs) are powerful tools for modeling sequential data, where the underlying states evolve in a stochastic manner and are only indirectly observable. Traditional HMM approaches are well-established for linear sequences,…

Machine Learning · Statistics 2024-06-05 Farzan Vafa , Sahand Hormoz