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Deep active inference agents using Monte-Carlo methods

arXiv 2006.04176 ↗First posted 7 Jun 2020q-bio.NC cs.AI stat.MLcited by 72

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Abstract (arXiv)

Active inference is a Bayesian framework for understanding biological intelligence. The underlying theory brings together perception and action under one single imperative: minimizing free energy. However, despite its theoretical utility in explaining intelligence, computational implementations have been restricted to low-dimensional and idealized situations. In this paper, we present a neural architecture for building deep active inference agents operating in complex, continuous state-spaces using multiple forms of Monte-Carlo (MC) sampling. For this, we introduce a number of techniques, novel to active inference. These include: i) selecting free-energy-optimal policies via MC tree search, ii) approximating this optimal policy distribution via a feed-forward `habitual' network, iii) predicting future parameter belief updates using MC dropouts and, finally, iv) optimizing state transition precision (a high-end form of attention). Our approach enables agents to learn environmental dynamics efficiently, while maintaining task performance, in relation to reward-based counterparts. We illustrate this in a new toy environment, based on the dSprites data-set, and demonstrate that active inference agents automatically create disentangled representations that are apt for modeling state transitions. In a more complex Animal-AI environment, our agents (using the same neural architecture) are able to simulate future state transitions and actions (i.e., plan), to evince reward-directed navigation - despite temporary suspension of visual input. These results show that deep active inference - equipped with MC methods - provides a flexible framework to develop biologically-inspired intelligent agents, with applications in both machine learning and cognitive science.

Key facts. Cited by 72 papers in the map (data through 7 Oct 2026). First posted on arXiv 7 Jun 2020.

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Citing papers per year: 2021: 20; 2022: 11; 2023: 12; 2024: 14; 2025: 8; 2026: 7.

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  1. 2021Active Inference in Robotics and Artificial Agents: Survey and Challengescited by 52
  2. 2022pymdp: A Python library for active inference in discrete state spacescited by 39
  3. 2023World Models and Predictive Coding for Cognitive and Developmental Robotics: Frontiers and Challengescited by 35
  4. 2022The Free Energy Principle for Perception and Action: A Deep Learning Perspectivecited by 24
  5. 2021Contrastive Active Inferencecited by 21
  6. 2021Branching Time Active Inference: the theory and its generalitycited by 15
  7. 2023On efficient computation in active inferencecited by 15
  8. 2021An empirical evaluation of active inference in multi-armed banditscited by 12
  9. 2021Exploration and preference satisfaction trade-off in reward-free learningcited by 12
  10. 2024Active Inference as a Model of Agencycited by 12
  11. 2021Information is Power: Intrinsic Control via Information Capturecited by 11
  12. 2021Understanding the Origin of Information-Seeking Exploration in Probabilistic Objectives for Controlcited by 10
38 more
  1. 2024R-AIF: Solving Sparse-Reward Robotic Tasks from Pixels with Active Inference and World Modelscited by 10
  2. 2021Applications of the Free Energy Principle to Machine Learning and Neurosciencecited by 9
  3. 2021Branching Time Active Inference: empirical study and complexity class analysiscited by 9
  4. 2023A Unified View on Solving Objective Mismatch in Model-Based Reinforcement Learningcited by 9
  5. 2023Supervised structure learningcited by 9
  6. 2021Prior Preference Learning from Experts:Designing a Reward with Active Inferencecited by 8
  7. 2022Complex behavior from intrinsic motivation to occupy action-state path spacecited by 7
  8. 2021Bayesian brains and the R'enyi divergencecited by 6
  9. 2021Active Inference for Stochastic Controlcited by 6
  10. 2021Active inference, Bayesian optimal design, and expected utilitycited by 6
  11. 2022Disentangling Shape and Pose for Object-Centric Deep Active Inference Modelscited by 6
  12. 2023Resolving uncertainty on the fly: Modeling adaptive driving behavior as active inferencecited by 6
  13. 2021Chance-Constrained Active Inferencecited by 5
  14. 2022Geometric Methods for Sampling, Optimisation, Inference and Adaptive Agentscited by 5
  15. 2023Deconstructing deep active inferencecited by 5
  16. 2022Goal-directed Planning and Goal Understanding by Active Inference: Evaluation Through Simulated and Physical Robot Experimentscited by 4
  17. 2023Integrating cognitive map learning and active inference for planning in ambiguous environmentscited by 4
  18. 2024SPO: Sequential Monte Carlo Policy Optimisationcited by 4
  19. 2024On Predictive planning and counterfactual learning in active inferencecited by 4
  20. 2026ODAR: Principled Adaptive Routing for LLM Reasoning via Active Inferencecited by 4
  21. 2022Successor Representation Active Inferencecited by 3
  22. 2023Habits and goals in synergy: a variational Bayesian framework for behaviorcited by 3
  23. 2025Deep Active Inference Agents for Delayed and Long-Horizon Environmentscited by 3
  24. 2021Active Inference Tree Search in Large POMDPscited by 2
  25. 2021Goal-Directed Planning by Reinforcement Learning and Active Inferencecited by 2
  26. 2021Deep Active Inference for Pixel-Based Discrete Control: Evaluation on the Car Racing Problemcited by 2
  27. 2021Branching Time Active Inference with Bayesian Filteringcited by 2
  28. 2022Recursive Neural Programs: Variational Learning of Image Grammars and Part-Whole Hierarchiescited by 2
  29. 2022Multi-Modal and Multi-Factor Branching Time Active Inferencecited by 2
  30. 2023Sophisticated Learning: A novel algorithm for active learning during model-based planningcited by 2
  31. 2024Object-centric proto-symbolic behavioural reasoning from pixelscited by 2
  32. 2026The SIGReg Objective as Variational Free Energy: A Theoretical Active-Inference Account of JEPA World Modelscited by 2
  33. 2021Realising Active Inference in Variational Message Passing: the Outcome-blind Certainty Seekercited by 1
  34. 2022Modelling non-reinforced preferences using selective attentioncited by 1
  35. 2023A general Markov decision process formalism for action-state entropy-regularized reward maximizationcited by 1
  36. 2023Learning Successor Features with Distributed Hebbian Temporal Memorycited by 1
  37. 2024Active Inference Meeting Energy-Efficient Control of Parallel and Identical Machinescited by 1
  38. 2024Free Energy Projective Simulation (FEPS): Active inference with interpretabilitycited by 1

50 most cited of 72 All 72 (JSON)