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The hm admissible heuristics for (sequential and temporal) regression planning are defined by a parameterized relaxation of the optimal cost function in the regression search space, where the parameter m offers a trade-off between the…

人工智能 · 计算机科学 2011-09-28 P. Haslum

We consider lexicographic bi-objective problems on Markov Decision Processes (MDPs), where we optimize one objective while guaranteeing optimality of another. We propose a two-stage technique for solving such problems when the objectives…

计算机科学与博弈论 · 计算机科学 2023-08-17 Damien Busatto-Gaston , Debraj Chakraborty , Anirban Majumdar , Sayan Mukherjee , Guillermo A. Pérez , Jean-François Raskin

We study online learning in episodic constrained Markov decision processes (CMDPs), where the learner aims at collecting as much reward as possible over the episodes, while satisfying some long-term constraints during the learning process.…

Partially observable Markov decision processes (POMDPs) provide a modeling framework for autonomous decision making under uncertainty and imperfect sensing, e.g. robot manipulation and self-driving cars. However, optimal control of POMDPs…

人工智能 · 计算机科学 2020-01-22 Mohamadreza Ahmadi , Rangoli Sharan , Joel W. Burdick

Query optimization is crucial for every database management system (DBMS) to enable fast execution of declarative queries. Most DBMS designs include cost-based query optimization. However, MongoDB implements a different approach to choose…

数据库 · 计算机科学 2024-09-26 Dawei Tao , Enqi Liu , Sidath Randeni Kadupitige , Michael Cahill , Alan Fekete , Uwe Röhm

We develop a toolbox for exact analysis of iterative algorithms on a class of high-dimensional nonconvex optimization problems with random data. While prior work has shown that low-dimensional statistics of (generalized) first-order methods…

统计理论 · 数学 2025-07-29 Michael Celentano , Chen Cheng , Ashwin Pananjady , Kabir Aladin Verchand

The general sequential decision-making problem, which includes Markov decision processes (MDPs) and partially observable MDPs (POMDPs) as special cases, aims at maximizing a cumulative reward by making a sequence of decisions based on a…

机器学习 · 计算机科学 2024-02-07 Ruiquan Huang , Yingbin Liang , Jing Yang

Local search heuristics for non-convex optimizations are popular in applied machine learning. However, in general it is hard to guarantee that such algorithms even converge to a local minimum, due to the existence of complicated saddle…

机器学习 · 计算机科学 2016-02-19 Anima Anandkumar , Rong Ge

We select policies for large Markov Decision Processes (MDPs) with compact first-order representations. We find policies that generalize well as the number of objects in the domain grows, potentially without bound. Existing…

人工智能 · 计算机科学 2013-01-07 Sung Wook Yoon , Alan Fern , Robert Givan

In this article we propose a qualitative (ordinal) counterpart for the Partially Observable Markov Decision Processes model (POMDP) in which the uncertainty, as well as the preferences of the agent, are modeled by possibility distributions.…

人工智能 · 计算机科学 2013-01-30 Regis Sabbadin

The Steiner Team Orienteering Problem (STOP) is defined on a digraph in which arcs are associated with traverse times, and whose vertices are labeled as either mandatory or profitable, being the latter provided with rewards (profits). Given…

最优化与控制 · 数学 2021-01-06 Lucas Assunção , Geraldo Robson Mateus

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,…

人工智能 · 计算机科学 2013-02-08 Nevin Lianwen Zhang , Wenju Liu

In many operations management problems, we need to make decisions sequentially to minimize the cost while satisfying certain constraints. One modeling approach to study such problems is constrained Markov decision process (CMDP). When…

最优化与控制 · 数学 2021-01-27 Yi Chen , Jing Dong , Zhaoran Wang

Online learning algorithms are designed to perform in non-stationary environments, but generally there is no notion of a dynamic state to model constraints on current and future actions as a function of past actions. State-based models are…

机器学习 · 计算机科学 2015-09-01 Peng Guan , Maxim Raginsky , Rebecca Willett

Retrieving objects from clutters is a complex task, which requires multiple interactions with the environment until the target object can be extracted. These interactions involve executing action primitives like grasping or pushing as well…

机器人学 · 计算机科学 2022-03-01 Oussama Zenkri , Ngo Anh Vien , Gerhard Neumann

A decision process in which rewards depend on history rather than merely on the current state is called a decision process with non-Markovian rewards (NMRDP). In decision-theoretic planning, where many desirable behaviours are more…

人工智能 · 计算机科学 2011-09-13 C. Gretton , F. Kabanza , D. Price , J. Slaney , S. Thiebaux

We consider a finite-state partially observable Markov decision problem (POMDP) with an infinite horizon and a discounted cost, and we propose a new method for computing a cost function approximation that is based on features and…

系统与控制 · 电气工程与系统科学 2025-07-08 Yuchao Li , Kim Hammar , Dimitri Bertsekas

This paper addresses the challenge of solving Constrained Markov Decision Processes (CMDPs) with $d > 1$ constraints when the transition dynamics are unknown, but samples can be drawn from a generative model. We propose a model-based…

机器学习 · 计算机科学 2025-03-11 Max Buckley , Konstantinos Papathanasiou , Andreas Spanopoulos

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…

系统与控制 · 电气工程与系统科学 2023-01-06 Bo Wu , Niklas Lauffer , Mohamadreza Ahmadi , Suda Bharadwaj , Zhe Xu , Ufuk Topcu

We present automated theorem provers for the first-order logic of here and there (HT). They are based on a native sequent calculus for the logic of HT and an axiomatic embedding of the logic of HT into intuitionistic logic. The analytic…

计算机科学中的逻辑 · 计算机科学 2026-01-08 Jens Otten , Torsten Schaub