New Method Identifies Probabilistic Causes in MDPs Efficiently

Ryohei Oura, Georgios Fainekos, Hideki Okamoto, Bardh Hoxha· June 30, 2026 View original

Summary

This research introduces a sample-efficient learning approach with probabilistic guarantees for identifying "probability-raising (PR) causes" in unknown Markov Decision Processes (MDPs). It uses a restart-based MDP modification to reduce PR-cause checking to conditional reachability queries, enabling reliable and fast identification of causes for undesired outcomes.

Researchers have developed a novel, sample-efficient method for identifying probabilistic causes within unknown Markov Decision Processes (MDPs), offering probabilistic guarantees. This addresses a limitation in traditional probabilistic model checking, which often explains *what* happens but not *why* undesired outcomes occur. The core innovation involves a restart-based modification of the MDP, which simplifies the complex task of checking for "probability-raising (PR) causality." This modification allows the identification of PR causes to be reduced to two conditional reachability queries, crucially without requiring prior knowledge of the original MDP's reachability probabilities. This is particularly beneficial when transition probabilities are unknown, making it suitable for learning scenarios. The paper proves the correctness of this approach, establishes sample-complexity bounds, and presents an anytime learning-and-checking algorithm. Experimental results on benchmark datasets demonstrate that the method reliably and quickly classifies states as causal, non-causal, or undecided, providing valuable insights into system behavior.

Why it matters

For professionals designing or analyzing complex systems, understanding the root causes of specific outcomes is crucial for debugging, optimization, and risk mitigation. This method provides a powerful tool for identifying causal factors in dynamic, uncertain environments.

How to implement this in your domain

  1. 1Apply: Utilize this learning approach to identify causal states in complex, unknown Markov Decision Processes within your systems.
  2. 2Debug: Employ PR-cause identification to pinpoint the reasons behind undesirable system behaviors or failures.
  3. 3Optimize: Use causal insights to modify system designs or policies to prevent negative outcomes or enhance desired ones.
  4. 4Analyze: Integrate the anytime learning algorithm into system monitoring to progressively classify states and understand their causal impact.

Who benefits

RoboticsAutonomous SystemsManufacturingLogisticsCybersecurity

Key takeaways

  • A new method efficiently identifies probabilistic causes in unknown Markov Decision Processes.
  • It offers probabilistic guarantees for identifying "probability-raising" causes.
  • The approach simplifies cause checking to conditional reachability queries without needing prior MDP reachability values.
  • It provides reliable and fast insights into why undesired outcomes occur in complex systems.

Original post by Ryohei Oura, Georgios Fainekos, Hideki Okamoto, Bardh Hoxha

"arXiv:2606.29681v1 Announce Type: new Abstract: Probabilistic model checking for Markov decision processes (MDPs) provides quantitative guarantees, but often offers limited insight into why undesired outcomes occur. Probability-raising (PR) causality addresses this by identifying…"

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Originally posted by Ryohei Oura, Georgios Fainekos, Hideki Okamoto, Bardh Hoxha on X · view source

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