Deep Active Inference as Variational Policy Gradients
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Abstract (arXiv)
Active Inference is a theory of action arising from neuroscience which casts action and planning as a bayesian inference problem to be solved by minimizing a single quantity - the variational free energy. Active Inference promises a unifying account of action and perception coupled with a biologically plausible process theory. Despite these potential advantages, current implementations of Active Inference can only handle small, discrete policy and state-spaces and typically require the environmental dynamics to be known. In this paper we propose a novel deep Active Inference algorithm which approximates key densities using deep neural networks as flexible function approximators, which enables Active Inference to scale to significantly larger and more complex tasks. We demonstrate our approach on a suite of OpenAIGym benchmark tasks and obtain performance comparable with common reinforcement learning baselines. Moreover, our algorithm shows similarities with maximum entropy reinforcement learning and the policy gradients algorithm, which reveals interesting connections between the Active Inference framework and reinforcement learning.
Key facts. Cited by 52 papers in the map (data through 7 Oct 2026). First posted on arXiv 8 Jul 2019.
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Citing papers per year: 2021: 20; 2022: 7; 2023: 7; 2024: 7; 2025: 6; 2026: 5.
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- 2021Active Inference in Robotics and Artificial Agents: Survey and Challengescited by 52
- 2022pymdp: A Python library for active inference in discrete state spacescited by 39
- 2022The Free Energy Principle for Perception and Action: A Deep Learning Perspectivecited by 24
- 2021Contrastive Active Inferencecited by 21
- 2021Branching Time Active Inference: the theory and its generalitycited by 15
- 2021An empirical evaluation of active inference in multi-armed banditscited by 12
- 2021Backprop-Free Reinforcement Learning with Active Neural Generative Codingcited by 12
- 2024Active Inference as a Model of Agencycited by 12
- 2021Understanding the Origin of Information-Seeking Exploration in Probabilistic Objectives for Controlcited by 10
- 2024R-AIF: Solving Sparse-Reward Robotic Tasks from Pixels with Active Inference and World Modelscited by 10
- 2021Applications of the Free Energy Principle to Machine Learning and Neurosciencecited by 9
- 2021Branching Time Active Inference: empirical study and complexity class analysiscited by 9
38 more
- 2023Hierarchical generative modelling for autonomous robotscited by 9
- 2023A Unified View on Solving Objective Mismatch in Model-Based Reinforcement Learningcited by 9
- 2021Prior Preference Learning from Experts:Designing a Reward with Active Inferencecited by 8
- 2021Active Inference and Epistemic Value in Graphical Modelscited by 6
- 2022Active Predicting Coding: Brain-Inspired Reinforcement Learning for Sparse Reward Robotic Control Problemscited by 6
- 2022Geometric Methods for Sampling, Optimisation, Inference and Adaptive Agentscited by 5
- 2023Deconstructing deep active inferencecited by 5
- 2024Value of Information and Reward Specification in Active Inference and POMDPscited by 4
- 2021Online reinforcement learning with sparse rewards through an active inference capsulecited by 3
- 2021Social Neuro AI: Social Interaction as the "dark matter" of AIcited by 3
- 2022Successor Representation Active Inferencecited by 3
- 2022Learning Policies for Continuous Control via Transition Modelscited by 3
- 2023Habits and goals in synergy: a variational Bayesian framework for behaviorcited by 3
- 2021Active Inference Tree Search in Large POMDPscited by 2
- 2021Anomaly Detection via Controlled Sensing and Deep Active Inferencecited by 2
- 2021Goal-Directed Planning by Reinforcement Learning and Active Inferencecited by 2
- 2021Deep Active Inference for Pixel-Based Discrete Control: Evaluation on the Car Racing Problemcited by 2
- 2022A Neural Active Inference Model of Perceptual-Motor Learningcited by 2
- 2023Sophisticated Learning: A novel algorithm for active learning during model-based planningcited by 2
- 2023Anomaly Detection via Learning-Based Sequential Controlled Sensingcited by 2
- 2025The Missing Reward: Active Inference in the Era of Experiencecited by 2
- 2021A Mathematical Walkthrough and Discussion of the Free Energy Principlecited by 1
- 2023Life-inspired Interoceptive Artificial Intelligence for Autonomous and Adaptive Agentscited by 1
- 2024Free Energy Projective Simulation (FEPS): Active inference with interpretabilitycited by 1
- 2025Emergence of Goal-Directed Behaviors via Active Inference with Self-Priorcited by 1
- 2026Active Inference as a Convex Markov Decision Processcited by 1
- 2021Reinforced Imitation Learning by Free Energy Principlecited by 0
- 2021Differentiable Generalised Predictive Codingcited by 0
- 2021AIDA: An Active Inference-based Design Agent for Audio Processing Algorithmscited by 0
- 2024Deep hybrid models: infer and plan in a dynamic worldcited by 0
- 2024Dynamic planning in hierarchical active inferencecited by 0
- 2024Environment-Centric Active Inferencecited by 0
- 2025Boosting MCTS with Free Energy Minimizationcited by 0
- 2025Curiosity-Driven Development of Action and Language in Robots Through Self-Explorationcited by 0
- 2025Real-World Robot Control by Deep Active Inference With a Temporally Hierarchical World Modelcited by 0
- 2025Prior preferences in active inference agents: soft, hard, and goal shapingcited by 0
- 2026Distributional Active Inferencecited by 0
- 2026Optimizing Neurorobot Policy under Limited Demonstration Data through Preference Regretcited by 0
50 most cited of 52 All 52 (JSON)
- 2026Active Inference as a Convex Markov Decision Process22 Jul 2026
- 2026Mind Dreamer: Untethering Imagination via Active Causal Intervention on Latent Manifolds15 May 2026
- 2026Optimizing Neurorobot Policy under Limited Demonstration Data through Preference Regret4 Apr 2026
- 2026Active Inference with a Self-Prior in the Mirror-Mark Task2 Apr 2026
- 2026Distributional Active Inference28 Jan 2026
- 2025Prior preferences in active inference agents: soft, hard, and goal shaping2 Dec 2025
- 2025Real-World Robot Control by Deep Active Inference With a Temporally Hierarchical World Model1 Dec 2025
- 2025Curiosity-Driven Development of Action and Language in Robots Through Self-Exploration6 Oct 2025
- 2025The Missing Reward: Active Inference in the Era of Experience7 Aug 2025
- 2025Emergence of Goal-Directed Behaviors via Active Inference with Self-Prior15 Apr 2025
- 2025Boosting MCTS with Free Energy Minimization22 Jan 2025
- 2024Free Energy Projective Simulation (FEPS): Active inference with interpretability22 Nov 2024
38 more
- 2024R-AIF: Solving Sparse-Reward Robotic Tasks from Pixels with Active Inference and World Models21 Sep 2024
- 2024Environment-Centric Active Inference23 Aug 2024
- 2024Value of Information and Reward Specification in Active Inference and POMDPs13 Aug 2024
- 2024Dynamic planning in hierarchical active inference18 Feb 2024
- 2024Deep hybrid models: infer and plan in a dynamic world1 Feb 2024
- 2024Active Inference as a Model of Agency23 Jan 2024
- 2023Anomaly Detection via Learning-Based Sequential Controlled Sensing30 Nov 2023
- 2023A Unified View on Solving Objective Mismatch in Model-Based Reinforcement Learning10 Oct 2023
- 2023Life-inspired Interoceptive Artificial Intelligence for Autonomous and Adaptive Agents12 Sep 2023
- 2023Sophisticated Learning: A novel algorithm for active learning during model-based planning15 Aug 2023
- 2023Hierarchical generative modelling for autonomous robots15 Aug 2023
- 2023Habits and goals in synergy: a variational Bayesian framework for behavior11 Apr 2023
- 2023Deconstructing deep active inference2 Mar 2023
- 2022A Neural Active Inference Model of Perceptual-Motor Learning16 Nov 2022
- 2022Active Predicting Coding: Brain-Inspired Reinforcement Learning for Sparse Reward Robotic Control Problems19 Sep 2022
- 2022Learning Policies for Continuous Control via Transition Models16 Sep 2022
- 2022Successor Representation Active Inference20 Jul 2022
- 2022The Free Energy Principle for Perception and Action: A Deep Learning Perspective13 Jul 2022
- 2022Geometric Methods for Sampling, Optimisation, Inference and Adaptive Agents20 Mar 2022
- 2022pymdp: A Python library for active inference in discrete state spaces11 Jan 2022
- 2021Social Neuro AI: Social Interaction as the "dark matter" of AI31 Dec 2021
- 2021AIDA: An Active Inference-based Design Agent for Audio Processing Algorithms26 Dec 2021
- 2021Active Inference in Robotics and Artificial Agents: Survey and Challenges3 Dec 2021
- 2021Differentiable Generalised Predictive Coding2 Dec 2021
- 2021Branching Time Active Inference: empirical study and complexity class analysis22 Nov 2021
- 2021Branching Time Active Inference: the theory and its generality22 Nov 2021
- 2021Contrastive Active Inference19 Oct 2021
- 2021Deep Active Inference for Pixel-Based Discrete Control: Evaluation on the Car Racing Problem9 Sep 2021
- 2021Active Inference and Epistemic Value in Graphical Models1 Sep 2021
- 2021A Mathematical Walkthrough and Discussion of the Free Energy Principle30 Aug 2021
- 2021Reinforced Imitation Learning by Free Energy Principle25 Jul 2021
- 2021Backprop-Free Reinforcement Learning with Active Neural Generative Coding10 Jul 2021
- 2021Applications of the Free Energy Principle to Machine Learning and Neuroscience30 Jun 2021
- 2021Goal-Directed Planning by Reinforcement Learning and Active Inference18 Jun 2021
- 2021Online reinforcement learning with sparse rewards through an active inference capsule4 Jun 2021
- 2021Anomaly Detection via Controlled Sensing and Deep Active Inference12 May 2021
- 2021Active Inference Tree Search in Large POMDPs25 Mar 2021
- 2021Understanding the Origin of Information-Seeking Exploration in Probabilistic Objectives for Control11 Mar 2021
50 newest of 52 All 52 (JSON)
- 2021Active Inference in Robotics and Artificial Agents: Survey and Challengescited by 52
- 2022pymdp: A Python library for active inference in discrete state spacescited by 39
- 2022The Free Energy Principle for Perception and Action: A Deep Learning Perspectivecited by 24
- 2021Contrastive Active Inferencecited by 21
- 2021Branching Time Active Inference: the theory and its generalitycited by 15
- 2021An empirical evaluation of active inference in multi-armed banditscited by 12
- 2021Backprop-Free Reinforcement Learning with Active Neural Generative Codingcited by 12
- 2021Understanding the Origin of Information-Seeking Exploration in Probabilistic Objectives for Controlcited by 10
- 2021Applications of the Free Energy Principle to Machine Learning and Neurosciencecited by 9
- 2021Branching Time Active Inference: empirical study and complexity class analysiscited by 9
- 2023Hierarchical generative modelling for autonomous robotscited by 9
- 2023A Unified View on Solving Objective Mismatch in Model-Based Reinforcement Learningcited by 9
12 most cited of 45 All 45 (JSON)
- 2026Active Inference as a Convex Markov Decision Process22 Jul 2026
- 2026Mind Dreamer: Untethering Imagination via Active Causal Intervention on Latent Manifolds15 May 2026
- 2026Active Inference with a Self-Prior in the Mirror-Mark Task2 Apr 2026
- 2026Distributional Active Inference28 Jan 2026
- 2025Prior preferences in active inference agents: soft, hard, and goal shaping2 Dec 2025
- 2025Curiosity-Driven Development of Action and Language in Robots Through Self-Exploration6 Oct 2025
- 2025Emergence of Goal-Directed Behaviors via Active Inference with Self-Prior15 Apr 2025
- 2025Boosting MCTS with Free Energy Minimization22 Jan 2025
- 2024Free Energy Projective Simulation (FEPS): Active inference with interpretability22 Nov 2024
- 2024Environment-Centric Active Inference23 Aug 2024
- 2024Value of Information and Reward Specification in Active Inference and POMDPs13 Aug 2024
- 2024Dynamic planning in hierarchical active inference18 Feb 2024
12 newest of 45 All 45 (JSON)