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Journal of Global Optimization
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Journal of Global Optimization
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Multi-objective dynamic programming with limited precision

Authors: L. Mandow; J. L. Perez-de-la-Cruz; N. Pozas;

Multi-objective dynamic programming with limited precision

Abstract

AbstractThis paper addresses the problem of approximating the set of all solutions for Multi-objective Markov Decision Processes. We show that in the vast majority of interesting cases, the number of solutions is exponential or even infinite. In order to overcome this difficulty we propose to approximate the set of all solutions by means of a limited precision approach based on White’s multi-objective value-iteration dynamic programming algorithm. We prove that the number of calculated solutions is tractable and show experimentally that the solutions obtained are a good approximation of the true Pareto front.

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Keywords

dynamic programming, FOS: Computer and information sciences, reinforcement learning, Computer Science - Machine Learning, Multi-objective, 330, Markov and semi-Markov decision processes, I.2.8, Machine Learning (stat.ML), Dynamic programming, F.2.2; I.2.8, 004, Markov decision processes, Machine Learning (cs.LG), multi-objective, Programación dinámica, Statistics - Machine Learning, Reinforcement learning, F.2.2, Multi-objective and goal programming

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Top 10%
Average
Top 10%
Green
hybrid