mlsanityData to 7 Oct 2026

Synthetic Returns for Long-Term Credit Assignment

arXiv 2102.12425 ↗First posted 24 Feb 2021cs.LGcited by 27

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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

  1. 2016Asynchronous Methods for Deep Reinforcement Learningcited by 2,218
  2. 2018IMPALA: Scalable Distributed Deep-RL with Importance Weighted Actor-Learner Architecturescited by 866
  3. 2017Rainbow: Combining Improvements in Deep Reinforcement Learningcited by 774
  4. 2020Agent57: Outperforming the Atari Human Benchmarkcited by 300
  5. 2018Distributed Prioritized Experience Replaycited by 260
  6. 2020Never Give Up: Learning Directed Exploration Strategiescited by 210
  7. 2018RUDDER: Return Decomposition for Delayed Rewardscited by 162
  8. 2018Woulda, Coulda, Shoulda: Counterfactually-Guided Policy Searchcited by 81
  9. 2019Hindsight Credit Assignmentcited by 74
  10. 2016Control of Memory, Active Perception, and Action in Minecraftcited by 61
  11. 2020Counterfactual Credit Assignment in Model-Free Reinforcement Learningcited by 60
  12. 2018Optimizing Agent Behavior over Long Time Scales by Transporting Valuecited by 57
4 more
  1. 2018Unsupervised Predictive Memory in a Goal-Directed Agentcited by 54
  2. 2019Generalization of Reinforcement Learners with Working and Episodic Memorycited by 35
  3. 2019Sequence Modeling of Temporal Credit Assignment for Episodic Reinforcement Learningcited by 27
  4. 2018Been There, Done That: Meta-Learning with Episodic Recallcited by 25

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 5; 2022: 3; 2023: 6; 2024: 8; 2025: 2; 2026: 3.

27 papers.

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  1. 2021Decision Transformer: Reinforcement Learning via Sequence Modelingcited by 1,528
  2. 2021Deep Reinforcement Learning at the Edge of the Statistical Precipicecited by 781
  3. 2021Recurrent Model-Free RL Can Be a Strong Baseline for Many POMDPscited by 115
  4. 2023When Do Transformers Shine in RL? Decoupling Memory from Credit Assignmentcited by 62
  5. 2024Mastering Memory Tasks with World Modelscited by 38
  6. 2021Learning Long-Term Reward Redistribution via Randomized Return Decompositioncited by 33
  7. 2023Decision S4: Efficient Sequence-Based RL via State Spaces Layerscited by 26
  8. 2024Interpretable Concept Bottlenecks to Align Reinforcement Learning Agentscited by 23
  9. 2023Would I have gotten that reward? Long-term credit assignment by counterfactual contribution analysiscited by 10
  10. 2023Consistent Aggregation of Objectives with Diverse Time Preferences Requires Non-Markovian Rewardscited by 8
  11. 2022Lazy-MDPs: Towards Interpretable Reinforcement Learning by Learning When to Actcited by 7
  12. 2025Zero-Shot Reinforcement Learning Under Partial Observabilitycited by 6
15 more
  1. 2021Towards Practical Credit Assignment for Deep Reinforcement Learningcited by 5
  2. 2025Attention-Based Reward Shaping for Sparse and Delayed Rewardscited by 5
  3. 2022Contrastive Retrospection: honing in on critical steps for rapid learning and generalization in RLcited by 4
  4. 2024Interpretable end-to-end Neurosymbolic Reinforcement Learning agentscited by 4
  5. 2024An Empirical Study on the Power of Future Prediction in Partially Observable Environmentscited by 3
  6. 2023Episodic Return Decomposition by Difference of Implicitly Assigned Sub-Trajectory Rewardcited by 2
  7. 2024Beyond Simple Sum of Delayed Rewards: Non-Markovian Reward Modeling for Reinforcement Learningcited by 2
  8. 2022Off-Beat Multi-Agent Reinforcement Learningcited by 1
  9. 2024ELO-Rated Sequence Rewards: Advancing Reinforcement Learning Modelscited by 1
  10. 2023Policy Optimization with Smooth Guidance Learned from State-Only Demonstrationscited by 0
  11. 2024Towards a Research Community in Interpretable Reinforcement Learning: the InterpPol Workshopcited by 0
  12. 2024OCALM: Object-Centric Assessment with Language Modelscited by 0
  13. 2026Territory Paint Wars: Diagnosing and Mitigating Failure Modes in Competitive Multi-Agent PPOcited by 0
  14. 2026Counterfactual Shapley Credit Assignmentcited by 0
  15. 2026Large Distant Gradients Need Not Be Reliable: reliability-weighted credit assignment for long-horizon autoregressive forecastingcited by 0