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Deep belief Markov models for POMDP inference.

Giacomo Arcieri1, Konstantinos G Papakonstantinou2, Daniel Straub3

  • 1Institute of Structural Engineering, ETH Zürich, Zürich, 8093, Switzerland.

Neural Networks : the Official Journal of the International Neural Network Society
|December 12, 2025
PubMed
Summary
This summary is machine-generated.

This study presents the Deep Belief Markov Model (DBMM), a novel deep learning architecture for efficient inference in Partially Observable Markov Decision Process (POMDP) problems. DBMMs enable effective decision-making under uncertainty, outperforming existing methods in complex environments.

Keywords:
BeliefsDeep Markov modelsDeep learningInfrastructure managementPartially observable Markov decision processesVariational inference

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Area of Science:

  • Artificial Intelligence
  • Machine Learning
  • Reinforcement Learning

Background:

  • Partially Observable Markov Decision Processes (POMDPs) are crucial for sequential decision-making under uncertainty.
  • Existing inference methods for high-dimensional POMDPs often struggle with scalability and lack of ground truth state data.
  • Deep learning offers potential for modeling complex, non-linear dynamics inherent in these problems.

Purpose of the Study:

  • Introduce a novel deep learning architecture, the Deep Belief Markov Model (DBMM), for efficient POMDP inference.
  • Develop a model-formulation agnostic approach to handle complex, high-dimensional, and partially observable environments.
  • Enable robust belief inference using only observational data, overcoming limitations of exact computation and sampling methods.

Main Methods:

  • Developed the Deep Belief Markov Model (DBMM), extending deep Markov models to the POMDP framework.
  • Utilized variational inference methods for efficient belief inference directly from observation data.
  • Leveraged neural networks to infer and simulate non-linear system dynamics, accommodating high dimensionality and mixed variable types.

Main Results:

  • DBMMs demonstrated efficient, model-formulation agnostic inference capabilities in benchmark POMDP problems with discrete and continuous variables.
  • Neural network parameters were updated efficiently based on data availability, allowing dynamic adaptation.
  • An RL agent guided by DBMM beliefs significantly outperformed model-free baselines, achieving near-optimal performance in a downstream task.

Conclusions:

  • DBMMs provide an effective solution for belief inference in complex POMDPs, overcoming scalability and data limitations of traditional methods.
  • The architecture's ability to infer beliefs enables the derivation of effective POMDP solutions.
  • DBMMs show significant practical utility, enhancing reinforcement learning agent performance in challenging decision-making scenarios.