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We present Model Predictive Trees (MPT), a receding horizon tree search algorithm that improves its performance by reusing information efficiently. Whereas existing solvers reuse only the highest-quality trajectory from the previous…

Robotics · Computer Science 2024-11-26 John Lathrop , Benjamin Rivi`ere , Jedidiah Alindogan , Soon-Jo Chung

Lazy graph search algorithms are efficient at solving motion planning problems where edge evaluation is the computational bottleneck. These algorithms work by lazily computing the shortest potentially feasible path, evaluating edges along…

Robotics · Computer Science 2021-10-12 Mohak Bhardwaj , Sanjiban Choudhury , Byron Boots , Siddhartha Srinivasa

We show that the algorithm to extract diverse M -solutions from a Conditional Random Field (called divMbest [1]) takes exactly the form of a Herding procedure [2], i.e. a deterministic dynamical system that produces a sequence of hypotheses…

Computer Vision and Pattern Recognition · Computer Science 2017-01-31 Ece Ozkan , Gemma Roig , Orcun Goksel , Xavier Boix

We investigate the temporal concatenation of sub-policies in Markov Decision Processes (MDP) with time-varying reward functions. We introduce General Dijkstra Search (GDS), and prove that globally optimal goal-reaching policies can be…

Machine Learning · Computer Science 2026-05-15 Fangyuan Yu , Xin Su , Amir Abdullah

To plan safely in uncertain environments, agents must balance utility with safety constraints. Safe planning problems can be modeled as a chance-constrained partially observable Markov decision process (CC-POMDP) and solutions often use…

Artificial Intelligence · Computer Science 2024-05-02 Robert J. Moss , Arec Jamgochian , Johannes Fischer , Anthony Corso , Mykel J. Kochenderfer

In multiprocessor systems, one of the main factors of systems' performance is task scheduling. The well the task be distributed among the processors the well be the performance. Again finding the optimal solution of scheduling the tasks…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-10 Probir Roy , Md. Mejbah Ul Alam , Nishita Das

The canonical solution methodology for finite constrained Markov decision processes (CMDPs), where the objective is to maximize the expected infinite-horizon discounted rewards subject to the expected infinite-horizon discounted costs…

Machine Learning · Computer Science 2020-05-11 Sami Khairy , Prasanna Balaprakash , Lin X. Cai

A key challenge in satisficing planning is to use multiple heuristics within one heuristic search. An aggregation of multiple heuristic estimates, for example by taking the maximum, has the disadvantage that bad estimates of a single…

Artificial Intelligence · Computer Science 2021-04-13 David Speck , André Biedenkapp , Frank Hutter , Robert Mattmüller , Marius Lindauer

Gaussian process (GP) regression provides a strategy for accelerating saddle point searches on high-dimensional energy surfaces by reducing the number of times the energy and its derivatives with respect to atomic coordinates need to be…

Chemical Physics · Physics 2025-12-03 Rohit Goswami , Hannes Jónsson

Heuristic search solvers like RTDP-Bel and LAO* have proven effective for computing optimal and bounded sub-optimal solutions for Partially Observable Markov Decision Processes (POMDPs), which are typically formulated as belief MDPs. A…

Robotics · Computer Science 2025-06-03 Muhammad Suhail Saleem , Rishi Veerapaneni , Maxim Likhachev

The increasing use of autonomous robot systems in hazardous environments underscores the need for efficient search and rescue operations. Despite significant advancements, existing literature on object search often falls short in overcoming…

Robotics · Computer Science 2024-04-08 Matthew Collins , Jared J. Beard , Nicholas Ohi , Yu Gu

Recently discovered polyhedral structures of the value function for finite state-action discounted Markov decision processes (MDP) shed light on understanding the success of reinforcement learning. We investigate the value function polytope…

Machine Learning · Computer Science 2022-06-27 Yue Wu , Jesús A. De Loera

It is well known that for any finite state Markov decision process (MDP) there is a memoryless deterministic policy that maximizes the expected reward. For partially observable Markov decision processes (POMDPs), optimal memoryless policies…

Optimization and Control · Mathematics 2016-02-16 Guido Montufar , Keyan Ghazi-Zahedi , Nihat Ay

Routing problems such as Hamiltonian Path Problem (HPP), seeks a path to visit all the vertices in a graph while minimizing the path cost. This paper studies a variant, HPP with Probabilistic Terminals (HPP-PT), where each vertex has a…

Robotics · Computer Science 2026-01-21 Yunpeng Lyu , Chao Cao , Ji Zhang , Howie Choset , Zhongqiang Ren

The online Markov decision process (MDP) is a generalization of the classical Markov decision process that incorporates changing reward functions. In this paper, we propose practical online MDP algorithms with policy iteration and…

Machine Learning · Computer Science 2015-10-16 Yao Ma , Hao Zhang , Masashi Sugiyama

We extend probabilistic action language pBC+ with the notion of utility as in decision theory. The semantics of the extended pBC+ can be defined as a shorthand notation for a decision-theoretic extension of the probabilistic answer set…

Artificial Intelligence · Computer Science 2020-10-05 Yi Wang , Joohyung Lee

Recent years have seen the development of methods for multiagent planning under uncertainty that scale to tens or even hundreds of agents. However, most of these methods either make restrictive assumptions on the problem domain, or provide…

Artificial Intelligence · Computer Science 2015-07-21 Frans A. Oliehoek , Matthijs T. J. Spaan , Stefan Witwicki

In this paper we provide faster algorithms for approximately solving discounted Markov Decision Processes in multiple parameter regimes. Given a discounted Markov Decision Process (DMDP) with $|S|$ states, $|A|$ actions, discount factor…

Data Structures and Algorithms · Computer Science 2020-12-24 Aaron Sidford , Mengdi Wang , Xian Wu , Yinyu Ye

While language models (LMs) offer significant capability in zero-shot reasoning tasks across a wide range of domains, they do not perform satisfactorily in problems which requires multi-step reasoning. Previous approaches to mitigate this…

Computation and Language · Computer Science 2024-05-01 Houjun Liu

Markov decision processes (MDPs) provide a standard framework for sequential decision making under uncertainty. However, MDPs do not take uncertainty in transition probabilities into account. Robust Markov decision processes (RMDPs) address…

Artificial Intelligence · Computer Science 2024-05-01 Krishnendu Chatterjee , Ehsan Kafshdar Goharshady , Mehrdad Karrabi , Petr Novotný , Đorđe Žikelić