Foundations of probability-raising causality in Markov decision processes

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Abstract

This work introduces a novel cause-effect relation in Markov decision processes using the probability-raising principle. Initially, sets of states as causes and effects are considered, which is subsequently extended to regular path properties as effects and then as causes. The paper lays the mathematical foundations and analyzes the algorithmic properties of these cause-effect relations. This includes algorithms for checking cause conditions given an effect and deciding the existence of probability-raising causes. As the definition allows for sub-optimal coverage properties, quality measures for causes inspired by concepts of statistical analysis are studied. These include recall, coverage ratio and f-score. The computational complexity for finding optimal causes with respect to these measures is analyzed.

Details

OriginalspracheEnglisch
Seiten (von - bis)4:1–4:66
FachzeitschriftLogical methods in computer science : LMCS
Jahrgang20
Ausgabenummer1
PublikationsstatusVeröffentlicht - 2024
Peer-Review-StatusJa

Externe IDs

ORCID /0000-0002-5321-9343/work/155290604
ORCID /0000-0002-8490-1433/work/155291878
Scopus 85186474113

Schlagworte

Schlagwörter

  • probability-raising, Markov decision process, probabilistic causality, binary classifier