Synthetic Returns for Long-Term Credit Assignment
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Abstract (arXiv)
Since the earliest days of reinforcement learning, the workhorse method for assigning credit to actions over time has been temporal-difference (TD) learning, which propagates credit backward timestep-by-timestep. This approach suffers when delays between actions and rewards are long and when intervening unrelated events contribute variance to long-term returns. We propose state-associative (SA) learning, where the agent learns associations between states and arbitrarily distant future rewards, then propagates credit directly between the two. In this work, we use SA-learning to model the contribution of past states to the current reward. With this model we can predict each state's contribution to the far future, a quantity we call "synthetic returns". TD-learning can then be applied to select actions that maximize these synthetic returns (SRs). We demonstrate the effectiveness of augmenting agents with SRs across a range of tasks on which TD-learning alone fails. We show that the learned SRs are interpretable: they spike for states that occur after critical actions are taken. Finally, we show that our IMPALA-based SR agent solves Atari Skiing -- a game with a lengthy reward delay that posed a major hurdle to deep-RL agents -- 25 times faster than the published state-of-the-art.
Key facts. Cited by 27 papers in the map (data through 7 Oct 2026). Builds on 16 of its 26 references that are in the map. First posted on arXiv 24 Feb 2021.
Builds on
16 of 26 references.
References · 16
- 2016Asynchronous Methods for Deep Reinforcement Learningcited by 2,218
- 2018IMPALA: Scalable Distributed Deep-RL with Importance Weighted Actor-Learner Architecturescited by 866
- 2017Rainbow: Combining Improvements in Deep Reinforcement Learningcited by 774
- 2020Agent57: Outperforming the Atari Human Benchmarkcited by 300
- 2018Distributed Prioritized Experience Replaycited by 260
- 2020Never Give Up: Learning Directed Exploration Strategiescited by 210
- 2018RUDDER: Return Decomposition for Delayed Rewardscited by 162
- 2018Woulda, Coulda, Shoulda: Counterfactually-Guided Policy Searchcited by 81
- 2019Hindsight Credit Assignmentcited by 74
- 2016Control of Memory, Active Perception, and Action in Minecraftcited by 61
- 2020Counterfactual Credit Assignment in Model-Free Reinforcement Learningcited by 60
- 2018Optimizing Agent Behavior over Long Time Scales by Transporting Valuecited by 57
4 more
- 2018Unsupervised Predictive Memory in a Goal-Directed Agentcited by 54
- 2019Generalization of Reinforcement Learners with Working and Episodic Memorycited by 35
- 2019Sequence Modeling of Temporal Credit Assignment for Episodic Reinforcement Learningcited by 27
- 2018Been There, Done That: Meta-Learning with Episodic Recallcited by 25
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Citing papers per year: 2021: 5; 2022: 3; 2023: 6; 2024: 8; 2025: 2; 2026: 3.
27 papers.
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- 2021Decision Transformer: Reinforcement Learning via Sequence Modelingcited by 1,528
- 2021Deep Reinforcement Learning at the Edge of the Statistical Precipicecited by 781
- 2021Recurrent Model-Free RL Can Be a Strong Baseline for Many POMDPscited by 115
- 2023When Do Transformers Shine in RL? Decoupling Memory from Credit Assignmentcited by 62
- 2024Mastering Memory Tasks with World Modelscited by 38
- 2021Learning Long-Term Reward Redistribution via Randomized Return Decompositioncited by 33
- 2023Decision S4: Efficient Sequence-Based RL via State Spaces Layerscited by 26
- 2024Interpretable Concept Bottlenecks to Align Reinforcement Learning Agentscited by 23
- 2023Would I have gotten that reward? Long-term credit assignment by counterfactual contribution analysiscited by 10
- 2023Consistent Aggregation of Objectives with Diverse Time Preferences Requires Non-Markovian Rewardscited by 8
- 2022Lazy-MDPs: Towards Interpretable Reinforcement Learning by Learning When to Actcited by 7
- 2025Zero-Shot Reinforcement Learning Under Partial Observabilitycited by 6
15 more
- 2021Towards Practical Credit Assignment for Deep Reinforcement Learningcited by 5
- 2025Attention-Based Reward Shaping for Sparse and Delayed Rewardscited by 5
- 2022Contrastive Retrospection: honing in on critical steps for rapid learning and generalization in RLcited by 4
- 2024Interpretable end-to-end Neurosymbolic Reinforcement Learning agentscited by 4
- 2024An Empirical Study on the Power of Future Prediction in Partially Observable Environmentscited by 3
- 2023Episodic Return Decomposition by Difference of Implicitly Assigned Sub-Trajectory Rewardcited by 2
- 2024Beyond Simple Sum of Delayed Rewards: Non-Markovian Reward Modeling for Reinforcement Learningcited by 2
- 2022Off-Beat Multi-Agent Reinforcement Learningcited by 1
- 2024ELO-Rated Sequence Rewards: Advancing Reinforcement Learning Modelscited by 1
- 2023Policy Optimization with Smooth Guidance Learned from State-Only Demonstrationscited by 0
- 2024Towards a Research Community in Interpretable Reinforcement Learning: the InterpPol Workshopcited by 0
- 2024OCALM: Object-Centric Assessment with Language Modelscited by 0
- 2026Territory Paint Wars: Diagnosing and Mitigating Failure Modes in Competitive Multi-Agent PPOcited by 0
- 2026Counterfactual Shapley Credit Assignmentcited by 0
- 2026Large Distant Gradients Need Not Be Reliable: reliability-weighted credit assignment for long-horizon autoregressive forecastingcited by 0
- 2026Large Distant Gradients Need Not Be Reliable: reliability-weighted credit assignment for long-horizon autoregressive forecasting11 Sep 2026
- 2026Counterfactual Shapley Credit Assignment18 Jul 2026
- 2026Territory Paint Wars: Diagnosing and Mitigating Failure Modes in Competitive Multi-Agent PPO4 Apr 2026
- 2025Zero-Shot Reinforcement Learning Under Partial Observability18 Jun 2025
- 2025Attention-Based Reward Shaping for Sparse and Delayed Rewards16 May 2025
- 2024Beyond Simple Sum of Delayed Rewards: Non-Markovian Reward Modeling for Reinforcement Learning26 Oct 2024
- 2024Interpretable end-to-end Neurosymbolic Reinforcement Learning agents18 Oct 2024
- 2024ELO-Rated Sequence Rewards: Advancing Reinforcement Learning Models5 Sep 2024
- 2024OCALM: Object-Centric Assessment with Language Models24 Jun 2024
- 2024Towards a Research Community in Interpretable Reinforcement Learning: the InterpPol Workshop16 Apr 2024
- 2024Mastering Memory Tasks with World Models7 Mar 2024
- 2024An Empirical Study on the Power of Future Prediction in Partially Observable Environments11 Feb 2024
15 more
- 2024Interpretable Concept Bottlenecks to Align Reinforcement Learning Agents11 Jan 2024
- 2023Policy Optimization with Smooth Guidance Learned from State-Only Demonstrations30 Dec 2023
- 2023Episodic Return Decomposition by Difference of Implicitly Assigned Sub-Trajectory Reward17 Dec 2023
- 2023Consistent Aggregation of Objectives with Diverse Time Preferences Requires Non-Markovian Rewards30 Sep 2023
- 2023When Do Transformers Shine in RL? Decoupling Memory from Credit Assignment7 Jul 2023
- 2023Would I have gotten that reward? Long-term credit assignment by counterfactual contribution analysis29 Jun 2023
- 2023Decision S4: Efficient Sequence-Based RL via State Spaces Layers8 Jun 2023
- 2022Contrastive Retrospection: honing in on critical steps for rapid learning and generalization in RL12 Oct 2022
- 2022Off-Beat Multi-Agent Reinforcement Learning27 May 2022
- 2022Lazy-MDPs: Towards Interpretable Reinforcement Learning by Learning When to Act16 Mar 2022
- 2021Learning Long-Term Reward Redistribution via Randomized Return Decomposition26 Nov 2021
- 2021Recurrent Model-Free RL Can Be a Strong Baseline for Many POMDPs11 Oct 2021
- 2021Deep Reinforcement Learning at the Edge of the Statistical Precipice30 Aug 2021
- 2021Towards Practical Credit Assignment for Deep Reinforcement Learning8 Jun 2021
- 2021Decision Transformer: Reinforcement Learning via Sequence Modeling2 Jun 2021
- 2021Decision Transformer: Reinforcement Learning via Sequence Modelingcited by 1,528
- 2023Decision S4: Efficient Sequence-Based RL via State Spaces Layerscited by 26
- 2024Mastering Memory Tasks with World Modelscited by 38
- 2024Mastering Memory Tasks with World Models7 Mar 2024
- 2021Deep Reinforcement Learning at the Edge of the Statistical Precipicecited by 781
- 2021Recurrent Model-Free RL Can Be a Strong Baseline for Many POMDPscited by 115
- 2023When Do Transformers Shine in RL? Decoupling Memory from Credit Assignmentcited by 62
- 2021Learning Long-Term Reward Redistribution via Randomized Return Decompositioncited by 33
- 2024Interpretable Concept Bottlenecks to Align Reinforcement Learning Agentscited by 23
- 2023Would I have gotten that reward? Long-term credit assignment by counterfactual contribution analysiscited by 10
- 2023Consistent Aggregation of Objectives with Diverse Time Preferences Requires Non-Markovian Rewardscited by 8
- 2022Lazy-MDPs: Towards Interpretable Reinforcement Learning by Learning When to Actcited by 7
- 2025Zero-Shot Reinforcement Learning Under Partial Observabilitycited by 6
- 2021Towards Practical Credit Assignment for Deep Reinforcement Learningcited by 5
- 2025Attention-Based Reward Shaping for Sparse and Delayed Rewardscited by 5
- 2022Contrastive Retrospection: honing in on critical steps for rapid learning and generalization in RLcited by 4
12 most cited of 23 All 23 (JSON)
- 2026Large Distant Gradients Need Not Be Reliable: reliability-weighted credit assignment for long-horizon autoregressive forecasting11 Sep 2026
- 2026Counterfactual Shapley Credit Assignment18 Jul 2026
- 2026Territory Paint Wars: Diagnosing and Mitigating Failure Modes in Competitive Multi-Agent PPO4 Apr 2026
- 2025Zero-Shot Reinforcement Learning Under Partial Observability18 Jun 2025
- 2025Attention-Based Reward Shaping for Sparse and Delayed Rewards16 May 2025
- 2024Interpretable end-to-end Neurosymbolic Reinforcement Learning agents18 Oct 2024
- 2024ELO-Rated Sequence Rewards: Advancing Reinforcement Learning Models5 Sep 2024
- 2024OCALM: Object-Centric Assessment with Language Models24 Jun 2024
- 2024Towards a Research Community in Interpretable Reinforcement Learning: the InterpPol Workshop16 Apr 2024
- 2024An Empirical Study on the Power of Future Prediction in Partially Observable Environments11 Feb 2024
- 2024Interpretable Concept Bottlenecks to Align Reinforcement Learning Agents11 Jan 2024
- 2023Policy Optimization with Smooth Guidance Learned from State-Only Demonstrations30 Dec 2023
12 newest of 23 All 23 (JSON)