Search Results for author: Petr Novotný

Found 7 papers, 2 papers with code

Stochastic Shortest Path with Energy Constraints in POMDPs

no code implementations24 Feb 2016 Tomáš Brázdil, Krishnendu Chatterjee, Martin Chmelík, Anchit Gupta, Petr Novotný

Finally, we show experimentally that our algorithm performs well and computes succinct policies on a number of POMDP instances from the literature that were naturally enhanced with energy levels.

Optimizing Expectation with Guarantees in POMDPs (Technical Report)

1 code implementation26 Nov 2016 Krishnendu Chatterjee, Petr Novotný, Guillermo A. Pérez, Jean-François Raskin, Đorđe Žikelić

In this work we go beyond both the "expectation" and "threshold" approaches and consider a "guaranteed payoff optimization (GPO)" problem for POMDPs, where we are given a threshold $t$ and the objective is to find a policy $\sigma$ such that a) each possible outcome of $\sigma$ yields a discounted-sum payoff of at least $t$, and b) the expected discounted-sum payoff of $\sigma$ is optimal (or near-optimal) among all policies satisfying a).

Expectation Optimization with Probabilistic Guarantees in POMDPs with Discounted-sum Objectives

no code implementations27 Apr 2018 Krishnendu Chatterjee, Adrián Elgyütt, Petr Novotný, Owen Rouillé

We consider the expectation optimization with probabilistic guarantee (EOPG) problem, where the goal is to optimize the expectation ensuring that the payoff is above a given threshold with at least a specified probability.

Decision Making Decision Making Under Uncertainty

On the Complexity of Value Iteration

no code implementations13 Jul 2018 Nikhil Balaji, Stefan Kiefer, Petr Novotný, Guillermo A. Pérez, Mahsa Shirmohammadi

We show that, given a horizon $n$ in binary and an MDP, computing an optimal policy is EXP-complete, thus resolving an open problem that goes back to the seminal 1987 paper on the complexity of MDPs by Papadimitriou and Tsitsiklis.

Efficient Strategy Synthesis for MDPs with Resource Constraints

no code implementations5 May 2021 František Blahoudek, Petr Novotný, Melkior Ornik, Pranay Thangeda, Ufuk Topcu

We consider qualitative strategy synthesis for the formalism called consumption Markov decision processes.

Shielding in Resource-Constrained Goal POMDPs

1 code implementation28 Nov 2022 Michal Ajdarów, Šimon Brlej, Petr Novotný

We consider partially observable Markov decision processes (POMDPs) modeling an agent that needs a supply of a certain resource (e. g., electricity stored in batteries) to operate correctly.

Solving Long-run Average Reward Robust MDPs via Stochastic Games

no code implementations21 Dec 2023 Krishnendu Chatterjee, Ehsan Kafshdar Goharshady, Mehrdad Karrabi, Petr Novotný, Đorđe Žikelić

First, we derive new computational complexity bounds for solving long-run average reward polytopic RMDPs, showing for the first time that the threshold decision problem for them is in NP coNP and that they admit a randomized algorithm with sub-exponential expected runtime.

Decision Making Decision Making Under Uncertainty

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