MICo: Improved representations via sampling-based state similarity for Markov decision processes
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Abstract (arXiv)
We present a new behavioural distance over the state space of a Markov decision process, and demonstrate the use of this distance as an effective means of shaping the learnt representations of deep reinforcement learning agents. While existing notions of state similarity are typically difficult to learn at scale due to high computational cost and lack of sample-based algorithms, our newly-proposed distance addresses both of these issues. In addition to providing detailed theoretical analysis, we provide empirical evidence that learning this distance alongside the value function yields structured and informative representations, including strong results on the Arcade Learning Environment benchmark.
Key facts. Cited by 43 papers in the map (data through 7 Oct 2026). Builds on 29 of its 81 references that are in the map. First posted on arXiv 3 Jun 2021.
Builds on
29 of 81 references.
References · 29
- 2018Soft Actor-Critic: Off-Policy Maximum Entropy Deep Reinforcement Learning with a Stochastic Actorcited by 4,635
- 2013Sinkhorn Distances: Lightspeed Computation of Optimal Transportation Distancescited by 2,277
- 2018DeepMind Control Suitecited by 935
- 2017Rainbow: Combining Improvements in Deep Reinforcement Learningcited by 774
- 2018Computational Optimal Transportcited by 765
- 2017A Distributional Perspective on Reinforcement Learningcited by 743
- 2017Distributional Reinforcement Learning with Quantile Regressioncited by 464
- 2020Learning Invariant Representations for Reinforcement Learning without Reconstructioncited by 424
- 2016Reinforcement Learning with Unsupervised Auxiliary Taskscited by 400
- 2018Implicit Quantile Networks for Distributional Reinforcement Learningcited by 362
- 2016Successor Features for Transfer in Reinforcement Learningcited by 331
- 2017Learning Generative Models with Sinkhorn Divergencescited by 310
17 more
- 2019Improving Sample Efficiency in Model-Free Reinforcement Learning from Imagescited by 268
- 2017Revisiting the Arcade Learning Environment: Evaluation Protocols and Open Problems for General Agentscited by 267
- 2019DeepMDP: Learning Continuous Latent Space Models for Representation Learningcited by 204
- 2019Scalable methods for computing state similarity in deterministic Markov Decision Processescited by 133
- 2021Contrastive Behavioral Similarity Embeddings for Generalization in Reinforcement Learningcited by 123
- 2018Dopamine: A Research Framework for Deep Reinforcement Learningcited by 121
- 2020Bootstrap Latent-Predictive Representations for Multitask Reinforcement Learningcited by 101
- 2019Learning with minibatch Wasserstein : asymptotic and gradient propertiescited by 83
- 2020Revisiting Rainbow: Promoting more Insightful and Inclusive Deep Reinforcement Learning Researchcited by 78
- 2020Munchausen Reinforcement Learningcited by 68
- 2021Minibatch optimal transport distances; analysis and applicationscited by 62
- 2019Hyperbolic Discounting and Learning over Multiple Horizonscited by 58
- 2018Combined Reinforcement Learning via Abstract Representationscited by 37
- 2019Learning to Score Behaviors for Guided Policy Optimizationcited by 34
- 2021Metrics and continuity in reinforcement learningcited by 26
- 2020Efficient Wasserstein Natural Gradients for Reinforcement Learningcited by 23
- 2019ExTra: Transfer-guided Explorationcited by 3
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Citing papers per year: 2021: 1; 2022: 6; 2023: 6; 2024: 9; 2025: 9; 2026: 12.
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- 2024Bridging State and History Representations: Understanding Self-Predictive RLcited by 52
- 2023Proto-Value Networks: Scaling Representation Learning with Auxiliary Taskscited by 41
- 2025Towards General-Purpose Model-Free Reinforcement Learningcited by 40
- 2022Bisimulation Makes Analogies in Goal-Conditioned Reinforcement Learningcited by 38
- 2022Continuous MDP Homomorphisms and Homomorphic Policy Gradientcited by 24
- 2025A Survey of State Representation Learning for Deep Reinforcement Learningcited by 17
- 2026Predictive but Not Plannable: RC-aux for Latent World Modelscited by 16
- 2024Inference via Interpolation: Contrastive Representations Provably Enable Planning and Inferencecited by 15
- 2025Horizon Generalization in Reinforcement Learningcited by 15
- 2021SimSR: Simple Distance-based State Representation for Deep Reinforcement Learningcited by 14
- 2022Behavior Prior Representation learning for Offline Reinforcement Learningcited by 12
- 2025Simplicial Embeddings Improve Sample Efficiency in Actor-Critic Agentscited by 12
31 more
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- 2022Learning Generalizable Representations for Reinforcement Learning via Adaptive Meta-learner of Behavioral Similaritiescited by 4
- 2025Mind the GAP! The Challenges of Scale in Pixel-based Deep Reinforcement Learningcited by 4
- 2026BiPACE: Bisimulation-Guided Policy Optimization with Action Counterfactual Estimation for LLM Agentscited by 4
- 2023State-Action Similarity-Based Representations for Off-Policy Evaluationcited by 3
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- 2026Task-Induced Representational Invariances Depend on Learning Objective in Deep RLcited by 1
- 2022Structural Similarity for Improved Transfer in Reinforcement Learningcited by 0
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- 2023Towards Control-Centric Representations in Reinforcement Learning from Imagescited by 0
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- 2026Representation Learning Enables Scalable Multitask Deep Reinforcement Learningcited by 0
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- 2026Sub-Quadratic Bisimulation Metrics via Approximate Nearest Neighbors: Coverage-Augmented Guarantees and Computable Two-Sided Certificates7 Aug 2026
- 2026BIFROST: Bridging Invariant Feature Representation for Observation-space Sim2Real Transfer1 Jul 2026
- 2026BiPACE: Bisimulation-Guided Policy Optimization with Action Counterfactual Estimation for LLM Agents24 Jun 2026
- 2026Cheap Reward Hacking Detection8 Jun 2026
- 2026Adaptive state-action abstractions via rate-distortion4 Jun 2026
- 2026Representation Learning Enables Scalable Multitask Deep Reinforcement Learning4 Jun 2026
- 2026Task-Induced Representational Invariances Depend on Learning Objective in Deep RL1 Jun 2026
- 2026MSPR: Multi-scale Predictive Representations for Goal-conditioned Reinforcement Learning10 May 2026
- 2026Predictive but Not Plannable: RC-aux for Latent World Models8 May 2026
- 2026Latent State Design for World Models under Sufficiency Constraints3 May 2026
- 2026SAVGO: Learning State-Action Value Geometry with Cosine Similarity for Continuous Control1 May 2026
31 more
- 2025Simplicial Embeddings Improve Sample Efficiency in Actor-Critic Agents15 Oct 2025
- 2025Deep SPI: Safe Policy Improvement via World Models14 Oct 2025
- 2025A Survey of State Representation Learning for Deep Reinforcement Learning20 Jun 2025
- 2025Mind the GAP! The Challenges of Scale in Pixel-based Deep Reinforcement Learning23 May 2025
- 2025Reward-Aware Proto-Representations in Reinforcement Learning22 May 2025
- 2025Approximated Behavioral Metric-based State Projection for Federated Reinforcement Learning15 May 2025
- 2025Studying the Interplay Between the Actor and Critic Representations in Reinforcement Learning8 Mar 2025
- 2025Towards General-Purpose Model-Free Reinforcement Learning27 Jan 2025
- 2025Horizon Generalization in Reinforcement Learning6 Jan 2025
- 2024State Chrono Representation for Enhancing Generalization in Reinforcement Learning9 Nov 2024
- 2024CALE: Continuous Arcade Learning Environment31 Oct 2024
- 2024Agent-state based policies in POMDPs: Beyond belief-state MDPs24 Sep 2024
- 2024Periodic agent-state based Q-learning for POMDPs8 Jul 2024
- 2024The Curse of Diversity in Ensemble-Based Exploration7 May 2024
- 2024Learning Action-based Representations Using Invariance25 Mar 2024
- 2024Inference via Interpolation: Contrastive Representations Provably Enable Planning and Inference6 Mar 2024
- 2024An Empirical Study on the Power of Future Prediction in Partially Observable Environments11 Feb 2024
- 2024Bridging State and History Representations: Understanding Self-Predictive RL17 Jan 2024
- 2023State-Action Similarity-Based Representations for Off-Policy Evaluation27 Oct 2023
- 2023Understanding and Addressing the Pitfalls of Bisimulation-based Representations in Offline Reinforcement Learning26 Oct 2023
- 2023Towards Control-Centric Representations in Reinforcement Learning from Images25 Oct 2023
- 2023Policy Gradient Methods in the Presence of Symmetries and State Abstractions9 May 2023
- 2023Proto-Value Networks: Scaling Representation Learning with Auxiliary Tasks25 Apr 2023
- 2023Wasserstein Auto-encoded MDPs: Formal Verification of Efficiently Distilled RL Policies with Many-sided Guarantees22 Mar 2023
- 2022Learning Generalizable Representations for Reinforcement Learning via Adaptive Meta-learner of Behavioral Similarities26 Dec 2022
- 2022Behavior Prior Representation learning for Offline Reinforcement Learning2 Nov 2022
- 2022Continuous MDP Homomorphisms and Homomorphic Policy Gradient15 Sep 2022
- 2022Structural Similarity for Improved Transfer in Reinforcement Learning27 Jul 2022
- 2022Bisimulation Makes Analogies in Goal-Conditioned Reinforcement Learning27 Apr 2022
- 2022Approximate Policy Iteration with Bisimulation Metrics6 Feb 2022
- 2021SimSR: Simple Distance-based State Representation for Deep Reinforcement Learning31 Dec 2021
- 2026Cheap Reward Hacking Detectioncited by 0
- 2026Cheap Reward Hacking Detection8 Jun 2026
- 2024Bridging State and History Representations: Understanding Self-Predictive RLcited by 52
- 2023Proto-Value Networks: Scaling Representation Learning with Auxiliary Taskscited by 41
- 2025Towards General-Purpose Model-Free Reinforcement Learningcited by 40
- 2022Bisimulation Makes Analogies in Goal-Conditioned Reinforcement Learningcited by 38
- 2022Continuous MDP Homomorphisms and Homomorphic Policy Gradientcited by 24
- 2025A Survey of State Representation Learning for Deep Reinforcement Learningcited by 17
- 2024Inference via Interpolation: Contrastive Representations Provably Enable Planning and Inferencecited by 15
- 2025Horizon Generalization in Reinforcement Learningcited by 15
- 2021SimSR: Simple Distance-based State Representation for Deep Reinforcement Learningcited by 14
- 2025Simplicial Embeddings Improve Sample Efficiency in Actor-Critic Agentscited by 12
- 2022Approximate Policy Iteration with Bisimulation Metricscited by 11
- 2024Agent-state based policies in POMDPs: Beyond belief-state MDPscited by 9
12 most cited of 36 All 36 (JSON)
- 2026Do Better Goal Representations Improve Goal-Conditioned Reinforcement Learning?30 Sep 2026
- 2026Sub-Quadratic Bisimulation Metrics via Approximate Nearest Neighbors: Coverage-Augmented Guarantees and Computable Two-Sided Certificates7 Aug 2026
- 2026BIFROST: Bridging Invariant Feature Representation for Observation-space Sim2Real Transfer1 Jul 2026
- 2026Adaptive state-action abstractions via rate-distortion4 Jun 2026
- 2026Representation Learning Enables Scalable Multitask Deep Reinforcement Learning4 Jun 2026
- 2026Task-Induced Representational Invariances Depend on Learning Objective in Deep RL1 Jun 2026
- 2026MSPR: Multi-scale Predictive Representations for Goal-conditioned Reinforcement Learning10 May 2026
- 2026SAVGO: Learning State-Action Value Geometry with Cosine Similarity for Continuous Control1 May 2026
- 2025Simplicial Embeddings Improve Sample Efficiency in Actor-Critic Agents15 Oct 2025
- 2025A Survey of State Representation Learning for Deep Reinforcement Learning20 Jun 2025
- 2025Mind the GAP! The Challenges of Scale in Pixel-based Deep Reinforcement Learning23 May 2025
- 2025Reward-Aware Proto-Representations in Reinforcement Learning22 May 2025
12 newest of 36 All 36 (JSON)