mlsanityData to 14 Oct 2026

Simplifying Deep Temporal Difference Learning

arXiv 2407.04811 ↗First posted 5 Jul 2024cs.LGcited by 78

On the map: Deep reinforcement learning methods → Deep RL algorithms and representations

Abstract (arXiv)

Q-learning played a foundational role in the field reinforcement learning (RL). However, TD algorithms with off-policy data, such as Q-learning, or nonlinear function approximation like deep neural networks require several additional tricks to stabilise training, primarily a large replay buffer and target networks. Unfortunately, the delayed updating of frozen network parameters in the target network harms the sample efficiency and, similarly, the large replay buffer introduces memory and implementation overheads. In this paper, we investigate whether it is possible to accelerate and simplify off-policy TD training while maintaining its stability. Our key theoretical result demonstrates for the first time that regularisation techniques such as LayerNorm can yield provably convergent TD algorithms without the need for a target network or replay buffer, even with off-policy data. Empirically, we find that online, parallelised sampling enabled by vectorised environments stabilises training without the need for a large replay buffer. Motivated by these findings, we propose PQN, our simplified deep online Q-Learning algorithm. Surprisingly, this simple algorithm is competitive with more complex methods like: Rainbow in Atari, PPO-RNN in Craftax, QMix in Smax, and can be up to 50x faster than traditional DQN without sacrificing sample efficiency. In an era where PPO has become the go-to RL algorithm, PQN reestablishes off-policy Q-learning as a viable alternative.

Key facts. Cited by 78 papers in the map (data through 14 Oct 2026). Placed in Deep RL algorithms and representations, one of 15 directions in Deep reinforcement learning methods. Builds on 60 of its 94 references that are in the map. First posted on arXiv 5 Jul 2024.

Builds on

60 of 94 references.

Closest ancestors · 2

Same direction, newest first

  1. 2024Bigger, Regularized, Optimistic: scaling for compute and sample-efficient continuous control25 May
  2. 2024Disentangling the Causes of Plasticity Loss in Neural Networks29 Feb

Other references · 58

  1. 2017Proximal Policy Optimization Algorithmscited by 15,215
  2. 2015Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shiftcited by 7,005
  3. 2016Layer Normalizationcited by 5,669
  4. 2018Soft Actor-Critic: Off-Policy Maximum Entropy Deep Reinforcement Learning with a Stochastic Actorcited by 4,885
  5. 2013Playing Atari with Deep Reinforcement Learningcited by 3,274
  6. 2015Trust Region Policy Optimizationcited by 2,580
  7. 2018Addressing Function Approximation Error in Actor-Critic Methodscited by 2,417
  8. 2016Asynchronous Methods for Deep Reinforcement Learningcited by 2,258
  9. 2017Multi-Agent Actor-Critic for Mixed Cooperative-Competitive Environmentscited by 1,558
  10. 2016On Large-Batch Training for Deep Learning: Generalization Gap and Sharp Minimacited by 1,352
  11. 2021The Surprising Effectiveness of PPO in Cooperative, Multi-Agent Gamescited by 942
  12. 2017Rainbow: Combining Improvements in Deep Reinforcement Learningcited by 786
38 more
  1. 2015Dueling Network Architectures for Deep Reinforcement Learningcited by 785
  2. 2019On the Variance of the Adaptive Learning Rate and Beyondcited by 772
  3. 2017Counterfactual Multi-Agent Policy Gradientscited by 751
  4. 2019Wide Neural Networks of Any Depth Evolve as Linear Models Under Gradient Descentcited by 738
  5. 2017Reinforcement Learning with Deep Energy-Based Policiescited by 669
  6. 2019The StarCraft Multi-Agent Challengecited by 597
  7. 2016Deep Exploration via Bootstrapped DQNcited by 527
  8. 2017Value-Decomposition Networks For Cooperative Multi-Agent Learningcited by 503
  9. 2020Monotonic Value Function Factorisation for Deep Multi-Agent Reinforcement Learningcited by 485
  10. 2019QTRAN: Learning to Factorize with Transformation for Cooperative Multi-Agent Reinforcement Learningcited by 379
  11. 2019On the Utility of Learning about Humans for Human-AI Coordinationcited by 349
  12. 2023ManiSkill2: A Unified Benchmark for Generalizable Manipulation Skillscited by 327
  13. 2020Agent57: Outperforming the Atari Human Benchmarkcited by 303
  14. 2020Is Independent Learning All You Need in the StarCraft Multi-Agent Challenge?cited by 294
  15. 2021Randomized Ensembled Double Q-Learning: Learning Fast Without a Modelcited by 288
  16. 2018Distributed Prioritized Experience Replaycited by 269
  17. 2016Safe and Efficient Off-Policy Reinforcement Learningcited by 264
  18. 2018A Finite Time Analysis of Temporal Difference Learning With Linear Function Approximationcited by 229
  19. 2019A Theoretical Analysis of Deep Q-Learningcited by 215
  20. 2021Benchmarking the Spectrum of Agent Capabilitiescited by 200
  21. 2020The NetHack Learning Environmentcited by 198
  22. 2019The Hanabi Challenge: A New Frontier for AI Researchcited by 197
  23. 2020Implementation Matters in Deep Policy Gradients: A Case Study on PPO and TRPOcited by 186
  24. 2018Deep Reinforcement Learning and the Deadly Triadcited by 174
  25. 2023Understanding plasticity in neural networkscited by 174
  26. 2019Finite-Time Error Bounds For Linear Stochastic Approximation and TD Learningcited by 166
  27. 2020Acme: A Research Framework for Distributed Reinforcement Learningcited by 146
  28. 2019Behaviour Suite for Reinforcement Learningcited by 132
  29. 2020On the linearity of large non-linear models: when and why the tangent kernel is constantcited by 129
  30. 2018Dopamine: A Research Framework for Deep Reinforcement Learningcited by 122
  31. 2022SMACv2: An Improved Benchmark for Cooperative Multi-Agent Reinforcement Learningcited by 122
  32. 2022Discovered Policy Optimisationcited by 104
  33. 2019CrossQ: Batch Normalization in Deep Reinforcement Learning for Greater Sample Efficiency and Simplicitycited by 95
  34. 2024Craftax: A Lightning-Fast Benchmark for Open-Ended Reinforcement Learningcited by 88
  35. 2021Off-Belief Learningcited by 75
  36. 2022EnvPool: A Highly Parallel Reinforcement Learning Environment Execution Enginecited by 62
  37. 2017Frequentist Consistency of Variational Bayescited by 60
  38. 2023Jumanji: a Diverse Suite of Scalable Reinforcement Learning Environments in JAXcited by 58

50 most cited of 58 All 58 (JSON)

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2024: 8; 2025: 38; 2026: 32.

78 papers.

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  1. 2025Hierarchical Reasoning Modelcited by 177
  2. 2024SimBa: Simplicity Bias for Scaling Up Parameters in Deep Reinforcement Learningcited by 76
  3. 2025Horizon Reduction Makes RL Scalablecited by 57
  4. 2025FastTD3: Simple, Fast, and Capable Reinforcement Learning for Humanoid Controlcited by 44
  5. 2025Hyperspherical Normalization for Scalable Deep Reinforcement Learningcited by 38
  6. 2024Streaming Deep Reinforcement Learning Finally Workscited by 25
  7. 2024Plasticity Loss in Deep Reinforcement Learning: A Surveycited by 24
  8. 2025Stable Gradients for Stable Learning at Scale in Deep Reinforcement Learningcited by 23
  9. 2024Stabilizing Reinforcement Learning in Differentiable Multiphysics Simulationcited by 20
  10. 2024NAVIX: Scaling MiniGrid Environments with JAXcited by 18
  11. 2025Chunking the Critic: A Transformer-based Soft Actor-Critic with N-Step Returnscited by 16
  12. 2025Value-Based Deep RL Scales Predictablycited by 15
38 more
  1. 2024Can Learned Optimization Make Reinforcement Learning Less Difficult?cited by 14
  2. 2025The Impact of On-Policy Parallelized Data Collection on Deep Reinforcement Learning Networkscited by 13
  3. 2025Simplicial Embeddings Improve Sample Efficiency in Actor-Critic Agentscited by 12
  4. 2025Benchmarking Massively Parallelized Multi-Task Reinforcement Learning for Robotics Taskscited by 11
  5. 2024Beyond The Rainbow: High Performance Deep Reinforcement Learning on a Desktop PCcited by 7
  6. 2025Hadamax Encoding: Elevating Performance in Model-Free Ataricited by 7
  7. 2025Relative Entropy Pathwise Policy Optimizationcited by 7
  8. 2025Replicable Reinforcement Learning with Linear Function Approximationcited by 7
  9. 2025Compute-Optimal Scaling for Value-Based Deep RLcited by 6
  10. 2025Octax: Accelerated CHIP-8 Arcade Environments for Reinforcement Learning in JAXcited by 5
  11. 2026Stable Deep Reinforcement Learning via Isotropic Gaussian Representationscited by 5
  12. 2026SCALAR: Learning and Composing Skills through LLM Guided Symbolic Planning and Deep RL Groundingcited by 5
  13. 2026FlashSAC: Fast and Stable Off-Policy Reinforcement Learning for High-Dimensional Robot Controlcited by 5
  14. 2026Emergence of Exploration in Policy Gradient Reinforcement Learning via Retryingcited by 5
  15. 2025Bridging the Performance Gap Between Target-Free and Target-Based Reinforcement Learningcited by 4
  16. 2025Deep RL Needs Deep Behavior Analysis: Exploring Implicit Planning by Model-Free Agents in Open-Ended Environmentscited by 4
  17. 2025Q-RAG: Long Context Multi-step Retrieval via Value-based Embedder Trainingcited by 4
  18. 2025Capability-Aware Shared Hypernetworks for Flexible Heterogeneous Multi-Robot Coordinationcited by 3
  19. 2025Investigating Memory in Model-Free RL with POPGym Arcadecited by 3
  20. 2025Deep SPI: Safe Policy Improvement via World Modelscited by 3
  21. 2025A Principle of Targeted Intervention for Multi-Agent Reinforcement Learningcited by 3
  22. 2025Understanding and Improving Hyperbolic Deep Reinforcement Learningcited by 3
  23. 2025Residual Policy Gradient: A Reward View of KL-regularized Objectivecited by 2
  24. 2025Plasticine: Accelerating Research in Plasticity-Motivated Deep Reinforcement Learningcited by 2
  25. 2025Learning Instruction-Following Policies through Open-Ended Instruction Relabeling with Large Language Modelscited by 2
  26. 2025Use the Online Network If You Can: Towards Fast and Stable Reinforcement Learningcited by 2
  27. 2025Multi-Agent Craftax: Benchmarking Open-Ended Multi-Agent Reinforcement Learning at the Hyperscalecited by 2
  28. 2026Temporal Difference Learning with Constrained Initial Representationscited by 2
  29. 2026Squint: Fast Visual Reinforcement Learning for Sim-to-Real Roboticscited by 2
  30. 2026Benchmarking Open-Ended Multi-Agent Coordination in Language Agentscited by 2
  31. 2025JaxRobotarium: Training and Deploying Multi-Robot Policies in 10 Minutescited by 1
  32. 2025Universal Value-Function Uncertaintiescited by 1
  33. 2025Scaling DRL for Decision Making: A Survey on Data, Network, and Training Budget Strategiescited by 1
  34. 2025Stackelberg Coupling of Online Representation Learning and Reinforcement Learningcited by 1
  35. 2025A Tutorial: An Intuitive Explanation of Offline Reinforcement Learning Theorycited by 1
  36. 2025Geometric Analysis of Neural Regression Collapse via Intrinsic Dimensioncited by 1
  37. 2026Periodic Regularized Q-Learningcited by 1
  38. 2026FastDSAC: Unlocking the Potential of Maximum Entropy RL in High-Dimensional Humanoid Controlcited by 1

50 most cited of 78 All 78 (JSON)

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  2. 2024Time-Scale Separation in Q-Learning: Extending TD(triangle) for Action-Value Function Decomposition
  3. 2023Offline Reinforcement Learning with On-Policy Q-Function Regularization
  4. 2024MAD-TD: Model-Augmented Data stabilizes High Update Ratio RL
  5. 2025Pretraining a Shared Q-Network for Data-Efficient Offline Reinforcement Learning
  6. 2026ReversedQ: Opportunities for Faster Q-Learning in Episodic Online Reinforcement Learning
  7. 2019An Optimistic Perspective on Offline Reinforcement Learning
  8. 2023Boosting Continuous Control with Consistency Policy