Action and Perception as Divergence Minimization
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Abstract (arXiv)
To learn directed behaviors in complex environments, intelligent agents need to optimize objective functions. Various objectives are known for designing artificial agents, including task rewards and intrinsic motivation. However, it is unclear how the known objectives relate to each other, which objectives remain yet to be discovered, and which objectives better describe the behavior of humans. We introduce the Action Perception Divergence (APD), an approach for categorizing the space of possible objective functions for embodied agents. We show a spectrum that reaches from narrow to general objectives. While the narrow objectives correspond to domain-specific rewards as typical in reinforcement learning, the general objectives maximize information with the environment through latent variable models of input sequences. Intuitively, these agents use perception to align their beliefs with the world and use actions to align the world with their beliefs. They infer representations that are informative of past inputs, explore future inputs that are informative of their representations, and select actions or skills that maximally influence future inputs. This explains a wide range of unsupervised objectives from a single principle, including representation learning, information gain, empowerment, and skill discovery. Our findings suggest leveraging powerful world models for unsupervised exploration as a path toward highly adaptive agents that seek out large niches in their environments, rendering task rewards optional.
Key facts. Cited by 31 papers in the map (data through 7 Oct 2026). First posted on arXiv 3 Sep 2020.
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Citing papers per year: 2021: 12; 2022: 5; 2023: 6; 2024: 7; 2025: 0; 2026: 1.
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- 2022RL with KL penalties is better viewed as Bayesian inferencecited by 130
- 2022Deep Hierarchical Planning from Pixelscited by 96
- 2022On Reinforcement Learning and Distribution Matching for Fine-Tuning Language Models with no Catastrophic Forgettingcited by 80
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- 2021On the Expressivity of Markov Rewardcited by 71
- 2023World Models and Predictive Coding for Cognitive and Developmental Robotics: Frontiers and Challengescited by 35
- 2024MaxInfoRL: Boosting exploration in reinforcement learning through information gain maximizationcited by 30
- 2021Policy Information Capacity: Information-Theoretic Measure for Task Complexity in Deep Reinforcement Learningcited by 15
- 2021Co-Adaptation of Algorithmic and Implementational Innovations in Inference-based Deep Reinforcement Learningcited by 15
- 2021Learn Goal-Conditioned Policy with Intrinsic Motivation for Deep Reinforcement Learningcited by 15
- 2021Unsupervised Domain Adaptation with Dynamics-Aware Rewards in Reinforcement Learningcited by 15
- 2021Branching Time Active Inference: the theory and its generalitycited by 15
19 more
- 2024Three Dogmas of Reinforcement Learningcited by 14
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- 2022Learning on the Job: Self-Rewarding Offline-to-Online Finetuning for Industrial Insertion of Novel Connectors from Visioncited by 11
- 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
- 2023A Unified View on Solving Objective Mismatch in Model-Based Reinforcement Learningcited by 9
- 2022Complex behavior from intrinsic motivation to occupy action-state path spacecited by 7
- 2021Active Inference and Epistemic Value in Graphical Modelscited by 6
- 2021A maximum entropy model of bounded rational decision-making with prior beliefs and market feedbackcited by 5
- 2021The whole brain architecture approach: Accelerating the development of artificial general intelligence by referring to the braincited by 5
- 2023Realising Synthetic Active Inference Agents, Part I: Epistemic Objectives and Graphical Specification Languagecited by 4
- 2024Value of Information and Reward Specification in Active Inference and POMDPscited by 4
- 2024Factorised Active Inference for Strategic Multi-Agent Interactionscited by 4
- 2021Online reinforcement learning with sparse rewards through an active inference capsulecited by 3
- 2023Habits and goals in synergy: a variational Bayesian framework for behaviorcited by 3
- 2024Possible Principles for Aligned Structure Learning Agentscited by 3
- 2023A general Markov decision process formalism for action-state entropy-regularized reward maximizationcited by 1
- 2026Distributional Active Inferencecited by 0
- 2026Distributional Active Inference28 Jan 2026
- 2024MaxInfoRL: Boosting exploration in reinforcement learning through information gain maximization16 Dec 2024
- 2024Factorised Active Inference for Strategic Multi-Agent Interactions11 Nov 2024
- 2024Possible Principles for Aligned Structure Learning Agents30 Sep 2024
- 2024R-AIF: Solving Sparse-Reward Robotic Tasks from Pixels with Active Inference and World Models21 Sep 2024
- 2024Value of Information and Reward Specification in Active Inference and POMDPs13 Aug 2024
- 2024Three Dogmas of Reinforcement Learning15 Jul 2024
- 2024Active Inference as a Model of Agency23 Jan 2024
- 2023A Unified View on Solving Objective Mismatch in Model-Based Reinforcement Learning10 Oct 2023
- 2023Realising Synthetic Active Inference Agents, Part I: Epistemic Objectives and Graphical Specification Language13 Jun 2023
- 2023Video Prediction Models as Rewards for Reinforcement Learning23 May 2023
- 2023Habits and goals in synergy: a variational Bayesian framework for behavior11 Apr 2023
19 more
- 2023A general Markov decision process formalism for action-state entropy-regularized reward maximization2 Feb 2023
- 2023World Models and Predictive Coding for Cognitive and Developmental Robotics: Frontiers and Challenges14 Jan 2023
- 2022Learning on the Job: Self-Rewarding Offline-to-Online Finetuning for Industrial Insertion of Novel Connectors from Vision27 Oct 2022
- 2022Deep Hierarchical Planning from Pixels8 Jun 2022
- 2022On Reinforcement Learning and Distribution Matching for Fine-Tuning Language Models with no Catastrophic Forgetting1 Jun 2022
- 2022RL with KL penalties is better viewed as Bayesian inference23 May 2022
- 2022Complex behavior from intrinsic motivation to occupy action-state path space20 May 2022
- 2021Branching Time Active Inference: the theory and its generality22 Nov 2021
- 2021On the Expressivity of Markov Reward1 Nov 2021
- 2021Unsupervised Domain Adaptation with Dynamics-Aware Rewards in Reinforcement Learning25 Oct 2021
- 2021Active Inference and Epistemic Value in Graphical Models1 Sep 2021
- 2021Applications of the Free Energy Principle to Machine Learning and Neuroscience30 Jun 2021
- 2021Online reinforcement learning with sparse rewards through an active inference capsule4 Jun 2021
- 2021Learn Goal-Conditioned Policy with Intrinsic Motivation for Deep Reinforcement Learning11 Apr 2021
- 2021Co-Adaptation of Algorithmic and Implementational Innovations in Inference-based Deep Reinforcement Learning31 Mar 2021
- 2021Policy Information Capacity: Information-Theoretic Measure for Task Complexity in Deep Reinforcement Learning23 Mar 2021
- 2021Understanding the Origin of Information-Seeking Exploration in Probabilistic Objectives for Control11 Mar 2021
- 2021The whole brain architecture approach: Accelerating the development of artificial general intelligence by referring to the brain6 Mar 2021
- 2021A maximum entropy model of bounded rational decision-making with prior beliefs and market feedback18 Feb 2021
- 2022Deep Hierarchical Planning from Pixelscited by 96
- 2023World Models and Predictive Coding for Cognitive and Developmental Robotics: Frontiers and Challengescited by 35
- 2024Active Inference as a Model of Agencycited by 12
- 2024R-AIF: Solving Sparse-Reward Robotic Tasks from Pixels with Active Inference and World Modelscited by 10
- 2024R-AIF: Solving Sparse-Reward Robotic Tasks from Pixels with Active Inference and World Models21 Sep 2024
- 2024Active Inference as a Model of Agency23 Jan 2024
- 2023World Models and Predictive Coding for Cognitive and Developmental Robotics: Frontiers and Challenges14 Jan 2023
- 2022Deep Hierarchical Planning from Pixels8 Jun 2022
- 2022RL with KL penalties is better viewed as Bayesian inferencecited by 130
- 2022On Reinforcement Learning and Distribution Matching for Fine-Tuning Language Models with no Catastrophic Forgettingcited by 80
- 2023Video Prediction Models as Rewards for Reinforcement Learningcited by 76
- 2021On the Expressivity of Markov Rewardcited by 71
- 2024MaxInfoRL: Boosting exploration in reinforcement learning through information gain maximizationcited by 30
- 2021Policy Information Capacity: Information-Theoretic Measure for Task Complexity in Deep Reinforcement Learningcited by 15
- 2021Co-Adaptation of Algorithmic and Implementational Innovations in Inference-based Deep Reinforcement Learningcited by 15
- 2021Learn Goal-Conditioned Policy with Intrinsic Motivation for Deep Reinforcement Learningcited by 15
- 2021Unsupervised Domain Adaptation with Dynamics-Aware Rewards in Reinforcement Learningcited by 15
- 2021Branching Time Active Inference: the theory and its generalitycited by 15
- 2024Three Dogmas of Reinforcement Learningcited by 14
- 2021Understanding the Origin of Information-Seeking Exploration in Probabilistic Objectives for Controlcited by 10
12 most cited of 26 All 26 (JSON)
- 2026Distributional Active Inference28 Jan 2026
- 2024MaxInfoRL: Boosting exploration in reinforcement learning through information gain maximization16 Dec 2024
- 2024Factorised Active Inference for Strategic Multi-Agent Interactions11 Nov 2024
- 2024Possible Principles for Aligned Structure Learning Agents30 Sep 2024
- 2024Value of Information and Reward Specification in Active Inference and POMDPs13 Aug 2024
- 2024Three Dogmas of Reinforcement Learning15 Jul 2024
- 2023A Unified View on Solving Objective Mismatch in Model-Based Reinforcement Learning10 Oct 2023
- 2023Realising Synthetic Active Inference Agents, Part I: Epistemic Objectives and Graphical Specification Language13 Jun 2023
- 2023Video Prediction Models as Rewards for Reinforcement Learning23 May 2023
- 2023Habits and goals in synergy: a variational Bayesian framework for behavior11 Apr 2023
- 2023A general Markov decision process formalism for action-state entropy-regularized reward maximization2 Feb 2023
- 2022On Reinforcement Learning and Distribution Matching for Fine-Tuning Language Models with no Catastrophic Forgetting1 Jun 2022
12 newest of 26 All 26 (JSON)
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