Simplifying Deep Temporal Difference Learning
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
- 2024Bigger, Regularized, Optimistic: scaling for compute and sample-efficient continuous control25 May
- 2024Disentangling the Causes of Plasticity Loss in Neural Networks29 Feb
Other references · 58
- 2017Proximal Policy Optimization Algorithmscited by 15,215
- 2015Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shiftcited by 7,005
- 2016Layer Normalizationcited by 5,669
- 2018Soft Actor-Critic: Off-Policy Maximum Entropy Deep Reinforcement Learning with a Stochastic Actorcited by 4,885
- 2013Playing Atari with Deep Reinforcement Learningcited by 3,274
- 2015Trust Region Policy Optimizationcited by 2,580
- 2018Addressing Function Approximation Error in Actor-Critic Methodscited by 2,417
- 2016Asynchronous Methods for Deep Reinforcement Learningcited by 2,258
- 2017Multi-Agent Actor-Critic for Mixed Cooperative-Competitive Environmentscited by 1,558
- 2016On Large-Batch Training for Deep Learning: Generalization Gap and Sharp Minimacited by 1,352
- 2021The Surprising Effectiveness of PPO in Cooperative, Multi-Agent Gamescited by 942
- 2017Rainbow: Combining Improvements in Deep Reinforcement Learningcited by 786
38 more
- 2015Dueling Network Architectures for Deep Reinforcement Learningcited by 785
- 2019On the Variance of the Adaptive Learning Rate and Beyondcited by 772
- 2017Counterfactual Multi-Agent Policy Gradientscited by 751
- 2019Wide Neural Networks of Any Depth Evolve as Linear Models Under Gradient Descentcited by 738
- 2017Reinforcement Learning with Deep Energy-Based Policiescited by 669
- 2019The StarCraft Multi-Agent Challengecited by 597
- 2016Deep Exploration via Bootstrapped DQNcited by 527
- 2017Value-Decomposition Networks For Cooperative Multi-Agent Learningcited by 503
- 2020Monotonic Value Function Factorisation for Deep Multi-Agent Reinforcement Learningcited by 485
- 2019QTRAN: Learning to Factorize with Transformation for Cooperative Multi-Agent Reinforcement Learningcited by 379
- 2019On the Utility of Learning about Humans for Human-AI Coordinationcited by 349
- 2023ManiSkill2: A Unified Benchmark for Generalizable Manipulation Skillscited by 327
- 2020Agent57: Outperforming the Atari Human Benchmarkcited by 303
- 2020Is Independent Learning All You Need in the StarCraft Multi-Agent Challenge?cited by 294
- 2021Randomized Ensembled Double Q-Learning: Learning Fast Without a Modelcited by 288
- 2018Distributed Prioritized Experience Replaycited by 269
- 2016Safe and Efficient Off-Policy Reinforcement Learningcited by 264
- 2018A Finite Time Analysis of Temporal Difference Learning With Linear Function Approximationcited by 229
- 2019A Theoretical Analysis of Deep Q-Learningcited by 215
- 2021Benchmarking the Spectrum of Agent Capabilitiescited by 200
- 2020The NetHack Learning Environmentcited by 198
- 2019The Hanabi Challenge: A New Frontier for AI Researchcited by 197
- 2020Implementation Matters in Deep Policy Gradients: A Case Study on PPO and TRPOcited by 186
- 2018Deep Reinforcement Learning and the Deadly Triadcited by 174
- 2023Understanding plasticity in neural networkscited by 174
- 2019Finite-Time Error Bounds For Linear Stochastic Approximation and TD Learningcited by 166
- 2020Acme: A Research Framework for Distributed Reinforcement Learningcited by 146
- 2019Behaviour Suite for Reinforcement Learningcited by 132
- 2020On the linearity of large non-linear models: when and why the tangent kernel is constantcited by 129
- 2018Dopamine: A Research Framework for Deep Reinforcement Learningcited by 122
- 2022SMACv2: An Improved Benchmark for Cooperative Multi-Agent Reinforcement Learningcited by 122
- 2022Discovered Policy Optimisationcited by 104
- 2019CrossQ: Batch Normalization in Deep Reinforcement Learning for Greater Sample Efficiency and Simplicitycited by 95
- 2024Craftax: A Lightning-Fast Benchmark for Open-Ended Reinforcement Learningcited by 88
- 2021Off-Belief Learningcited by 75
- 2022EnvPool: A Highly Parallel Reinforcement Learning Environment Execution Enginecited by 62
- 2017Frequentist Consistency of Variational Bayescited by 60
- 2023Jumanji: a Diverse Suite of Scalable Reinforcement Learning Environments in JAXcited by 58
50 most cited of 58 All 58 (JSON)
Built on by
Citing papers per year: 2024: 8; 2025: 38; 2026: 32.
78 papers.
Sort:
By area:
- 2025Hierarchical Reasoning Modelcited by 177
- 2024SimBa: Simplicity Bias for Scaling Up Parameters in Deep Reinforcement Learningcited by 76
- 2025Horizon Reduction Makes RL Scalablecited by 57
- 2025FastTD3: Simple, Fast, and Capable Reinforcement Learning for Humanoid Controlcited by 44
- 2025Hyperspherical Normalization for Scalable Deep Reinforcement Learningcited by 38
- 2024Streaming Deep Reinforcement Learning Finally Workscited by 25
- 2024Plasticity Loss in Deep Reinforcement Learning: A Surveycited by 24
- 2025Stable Gradients for Stable Learning at Scale in Deep Reinforcement Learningcited by 23
- 2024Stabilizing Reinforcement Learning in Differentiable Multiphysics Simulationcited by 20
- 2024NAVIX: Scaling MiniGrid Environments with JAXcited by 18
- 2025Chunking the Critic: A Transformer-based Soft Actor-Critic with N-Step Returnscited by 16
- 2025Value-Based Deep RL Scales Predictablycited by 15
38 more
- 2024Can Learned Optimization Make Reinforcement Learning Less Difficult?cited by 14
- 2025The Impact of On-Policy Parallelized Data Collection on Deep Reinforcement Learning Networkscited by 13
- 2025Simplicial Embeddings Improve Sample Efficiency in Actor-Critic Agentscited by 12
- 2025Benchmarking Massively Parallelized Multi-Task Reinforcement Learning for Robotics Taskscited by 11
- 2024Beyond The Rainbow: High Performance Deep Reinforcement Learning on a Desktop PCcited by 7
- 2025Hadamax Encoding: Elevating Performance in Model-Free Ataricited by 7
- 2025Relative Entropy Pathwise Policy Optimizationcited by 7
- 2025Replicable Reinforcement Learning with Linear Function Approximationcited by 7
- 2025Compute-Optimal Scaling for Value-Based Deep RLcited by 6
- 2025Octax: Accelerated CHIP-8 Arcade Environments for Reinforcement Learning in JAXcited by 5
- 2026Stable Deep Reinforcement Learning via Isotropic Gaussian Representationscited by 5
- 2026SCALAR: Learning and Composing Skills through LLM Guided Symbolic Planning and Deep RL Groundingcited by 5
- 2026FlashSAC: Fast and Stable Off-Policy Reinforcement Learning for High-Dimensional Robot Controlcited by 5
- 2026Emergence of Exploration in Policy Gradient Reinforcement Learning via Retryingcited by 5
- 2025Bridging the Performance Gap Between Target-Free and Target-Based Reinforcement Learningcited by 4
- 2025Deep RL Needs Deep Behavior Analysis: Exploring Implicit Planning by Model-Free Agents in Open-Ended Environmentscited by 4
- 2025Q-RAG: Long Context Multi-step Retrieval via Value-based Embedder Trainingcited by 4
- 2025Capability-Aware Shared Hypernetworks for Flexible Heterogeneous Multi-Robot Coordinationcited by 3
- 2025Investigating Memory in Model-Free RL with POPGym Arcadecited by 3
- 2025Deep SPI: Safe Policy Improvement via World Modelscited by 3
- 2025A Principle of Targeted Intervention for Multi-Agent Reinforcement Learningcited by 3
- 2025Understanding and Improving Hyperbolic Deep Reinforcement Learningcited by 3
- 2025Residual Policy Gradient: A Reward View of KL-regularized Objectivecited by 2
- 2025Plasticine: Accelerating Research in Plasticity-Motivated Deep Reinforcement Learningcited by 2
- 2025Learning Instruction-Following Policies through Open-Ended Instruction Relabeling with Large Language Modelscited by 2
- 2025Use the Online Network If You Can: Towards Fast and Stable Reinforcement Learningcited by 2
- 2025Multi-Agent Craftax: Benchmarking Open-Ended Multi-Agent Reinforcement Learning at the Hyperscalecited by 2
- 2026Temporal Difference Learning with Constrained Initial Representationscited by 2
- 2026Squint: Fast Visual Reinforcement Learning for Sim-to-Real Roboticscited by 2
- 2026Benchmarking Open-Ended Multi-Agent Coordination in Language Agentscited by 2
- 2025JaxRobotarium: Training and Deploying Multi-Robot Policies in 10 Minutescited by 1
- 2025Universal Value-Function Uncertaintiescited by 1
- 2025Scaling DRL for Decision Making: A Survey on Data, Network, and Training Budget Strategiescited by 1
- 2025Stackelberg Coupling of Online Representation Learning and Reinforcement Learningcited by 1
- 2025A Tutorial: An Intuitive Explanation of Offline Reinforcement Learning Theorycited by 1
- 2025Geometric Analysis of Neural Regression Collapse via Intrinsic Dimensioncited by 1
- 2026Periodic Regularized Q-Learningcited by 1
- 2026FastDSAC: Unlocking the Potential of Maximum Entropy RL in High-Dimensional Humanoid Controlcited by 1
50 most cited of 78 All 78 (JSON)
- 2026Scaling Empowered Agents9 Oct 2026
- 2026BluffJAX: Adversarial Imperfect Information Games in JAX6 Oct 2026
- 2026Mastering Atari 2600 Games with Discovered Options2 Oct 2026
- 2026Efficient Exploration Is Enough7 Sep 2026
- 2026On BatchNorm Forward Modes in Value-Based Reinforcement Learning6 Sep 2026
- 2026A Progressive Design Study of Visual Encoders and Value Estimation for Replay-Free Parallelized Q-Learning7 Aug 2026
- 2026Revisiting TD Target Aggregation under Uncertainty in Q-Learning4 Aug 2026
- 2026Gated Q-learning: Add Off-Policy Bias to Taste31 Jul 2026
- 2026Memory Merge DQN: Sensitivity Weighted Target Updates for Stable Value Learning4 Jul 2026
- 2026Position: RL Researchers Need to Distinguish Between Solving Simulators and Using Simulators as a Proxy26 Jun 2026
- 2026Inverting the Bellman Equation: From Q-Values to World Models19 Jun 2026
- 2026Contract-Based Compositional Shielding for Safe Multi-Agent Reinforcement Learning12 Jun 2026
38 more
- 2026Benchmarking Open-Ended Multi-Agent Coordination in Language Agents6 Jun 2026
- 2026Task diversity produces systematic transfer but inhibits continual reinforcement learning30 May 2026
- 2026Emergence of Exploration in Policy Gradient Reinforcement Learning via Retrying29 May 2026
- 2026Multivariate Distributional Reinforcement Learning Using Sliced Divergences29 May 2026
- 2026Learning in Low-Dimensional Subspaces: Orthogonal Bottlenecks for Reinforcement Learning25 May 2026
- 2026Bridging the Gap: Enabling Soft Actor Critic for High Performance Legged Locomotion24 May 2026
- 2026Goal-Conditioned Agents that Learn Everything All at Once22 May 2026
- 2026Scalable Reinforcement Learning via Adaptive Batch Scaling20 May 2026
- 2026Approximate Next Policy Sampling: Replacing Conservative Target Policy Updates in Deep RL6 May 2026
- 2026A High-Throughput Compute-Efficient POMDP Hide-And-Seek-Engine (HASE) for Multi-Agent Operations29 Apr 2026
- 2026FlashSAC: Fast and Stable Off-Policy Reinforcement Learning for High-Dimensional Robot Control6 Apr 2026
- 2026Pseudo-Quantized Actor-Critic Algorithm for Robustness to Noisy Temporal Difference Error2 Apr 2026
- 2026NASimJax: A GPU-Accelerated Policy Learning Framework for Penetration Testing20 Mar 2026
- 2026FastDSAC: Unlocking the Potential of Maximum Entropy RL in High-Dimensional Humanoid Control13 Mar 2026
- 2026SCALAR: Learning and Composing Skills through LLM Guided Symbolic Planning and Deep RL Grounding10 Mar 2026
- 2026Squint: Fast Visual Reinforcement Learning for Sim-to-Real Robotics24 Feb 2026
- 2026Stable Deep Reinforcement Learning via Isotropic Gaussian Representations22 Feb 2026
- 2026Temporal Difference Learning with Constrained Initial Representations12 Feb 2026
- 2026Periodic Regularized Q-Learning3 Feb 2026
- 2026TABX: A High-Throughput Sandbox Battle Simulator for Multi-Agent Reinforcement Learning2 Feb 2026
- 2025Recurrent Off-Policy Deep Reinforcement Learning Doesn't Have to be Slow23 Dec 2025
- 2025Understanding and Improving Hyperbolic Deep Reinforcement Learning16 Dec 2025
- 2025Q-RAG: Long Context Multi-step Retrieval via Value-based Embedder Training10 Nov 2025
- 2025Multi-Agent Craftax: Benchmarking Open-Ended Multi-Agent Reinforcement Learning at the Hyperscale7 Nov 2025
- 2025A Principle of Targeted Intervention for Multi-Agent Reinforcement Learning20 Oct 2025
- 2025Simplicial Embeddings Improve Sample Efficiency in Actor-Critic Agents15 Oct 2025
- 2025Deep SPI: Safe Policy Improvement via World Models14 Oct 2025
- 2025Use the Online Network If You Can: Towards Fast and Stable Reinforcement Learning2 Oct 2025
- 2025Octax: Accelerated CHIP-8 Arcade Environments for Reinforcement Learning in JAX2 Oct 2025
- 2025Geometric Analysis of Neural Regression Collapse via Intrinsic Dimension1 Oct 2025
- 2025Replicable Reinforcement Learning with Linear Function Approximation10 Sep 2025
- 2025Priors Matter: Addressing Misspecification in Bayesian Deep Q-Learning29 Aug 2025
- 2025Compute-Optimal Scaling for Value-Based Deep RL20 Aug 2025
- 2025A Tutorial: An Intuitive Explanation of Offline Reinforcement Learning Theory11 Aug 2025
- 2025Stackelberg Coupling of Online Representation Learning and Reinforcement Learning10 Aug 2025
- 2025Scaling DRL for Decision Making: A Survey on Data, Network, and Training Budget Strategies5 Aug 2025
- 2025Benchmarking Massively Parallelized Multi-Task Reinforcement Learning for Robotics Tasks31 Jul 2025
- 2025Relative Entropy Pathwise Policy Optimization15 Jul 2025
50 newest of 78 All 78 (JSON)
- 2024SimBa: Simplicity Bias for Scaling Up Parameters in Deep Reinforcement Learningcited by 76
- 2025FastTD3: Simple, Fast, and Capable Reinforcement Learning for Humanoid Controlcited by 44
- 2025Hyperspherical Normalization for Scalable Deep Reinforcement Learningcited by 38
- 2024Streaming Deep Reinforcement Learning Finally Workscited by 25
- 2024Plasticity Loss in Deep Reinforcement Learning: A Surveycited by 24
- 2025Stable Gradients for Stable Learning at Scale in Deep Reinforcement Learningcited by 23
- 2024Stabilizing Reinforcement Learning in Differentiable Multiphysics Simulationcited by 20
- 2024NAVIX: Scaling MiniGrid Environments with JAXcited by 18
- 2025Chunking the Critic: A Transformer-based Soft Actor-Critic with N-Step Returnscited by 16
- 2025Value-Based Deep RL Scales Predictablycited by 15
- 2024Can Learned Optimization Make Reinforcement Learning Less Difficult?cited by 14
- 2025The Impact of On-Policy Parallelized Data Collection on Deep Reinforcement Learning Networkscited by 13
12 most cited of 53 All 53 (JSON)
- 2026BluffJAX: Adversarial Imperfect Information Games in JAX6 Oct 2026
- 2026Mastering Atari 2600 Games with Discovered Options2 Oct 2026
- 2026On BatchNorm Forward Modes in Value-Based Reinforcement Learning6 Sep 2026
- 2026A Progressive Design Study of Visual Encoders and Value Estimation for Replay-Free Parallelized Q-Learning7 Aug 2026
- 2026Revisiting TD Target Aggregation under Uncertainty in Q-Learning4 Aug 2026
- 2026Gated Q-learning: Add Off-Policy Bias to Taste31 Jul 2026
- 2026Position: RL Researchers Need to Distinguish Between Solving Simulators and Using Simulators as a Proxy26 Jun 2026
- 2026Task diversity produces systematic transfer but inhibits continual reinforcement learning30 May 2026
- 2026Emergence of Exploration in Policy Gradient Reinforcement Learning via Retrying29 May 2026
- 2026Multivariate Distributional Reinforcement Learning Using Sliced Divergences29 May 2026
- 2026Learning in Low-Dimensional Subspaces: Orthogonal Bottlenecks for Reinforcement Learning25 May 2026
- 2026Bridging the Gap: Enabling Soft Actor Critic for High Performance Legged Locomotion24 May 2026
12 newest of 53 All 53 (JSON)
- 2025Horizon Reduction Makes RL Scalablecited by 57
- 2025Residual Policy Gradient: A Reward View of KL-regularized Objectivecited by 2
- 2025Universal Value-Function Uncertaintiescited by 1
- 2025A Tutorial: An Intuitive Explanation of Offline Reinforcement Learning Theorycited by 1
- 2025A Tutorial: An Intuitive Explanation of Offline Reinforcement Learning Theory11 Aug 2025
- 2025Horizon Reduction Makes RL Scalable4 Jun 2025
- 2025Universal Value-Function Uncertainties27 May 2025
- 2025Residual Policy Gradient: A Reward View of KL-regularized Objective14 Mar 2025
- 2025Hierarchical Reasoning Modelcited by 177
- 2025Improving Value-based Process Verifier via Structural Prior Injectioncited by 0
- 2025Hierarchical Reasoning Model26 Jun 2025
- 2025Improving Value-based Process Verifier via Structural Prior Injection21 Feb 2025
- 2025Deep SPI: Safe Policy Improvement via World Modelscited by 3
- 2026Inverting the Bellman Equation: From Q-Values to World Modelscited by 1
- 2026Inverting the Bellman Equation: From Q-Values to World Models19 Jun 2026
- 2025Deep SPI: Safe Policy Improvement via World Models14 Oct 2025
- 2026SCALAR: Learning and Composing Skills through LLM Guided Symbolic Planning and Deep RL Groundingcited by 5
- 2025Capability-Aware Shared Hypernetworks for Flexible Heterogeneous Multi-Robot Coordinationcited by 3
- 2025A Principle of Targeted Intervention for Multi-Agent Reinforcement Learningcited by 3
- 2025Learning Instruction-Following Policies through Open-Ended Instruction Relabeling with Large Language Modelscited by 2
- 2025Multi-Agent Craftax: Benchmarking Open-Ended Multi-Agent Reinforcement Learning at the Hyperscalecited by 2
- 2025Scaling DRL for Decision Making: A Survey on Data, Network, and Training Budget Strategiescited by 1
- 2025Geometric Analysis of Neural Regression Collapse via Intrinsic Dimensioncited by 1
- 2026TABX: A High-Throughput Sandbox Battle Simulator for Multi-Agent Reinforcement Learningcited by 0
- 2026NASimJax: A GPU-Accelerated Policy Learning Framework for Penetration Testingcited by 0
- 2026A High-Throughput Compute-Efficient POMDP Hide-And-Seek-Engine (HASE) for Multi-Agent Operationscited by 0
- 2026Contract-Based Compositional Shielding for Safe Multi-Agent Reinforcement Learningcited by 0
- 2026Memory Merge DQN: Sensitivity Weighted Target Updates for Stable Value Learningcited by 0
12 most cited of 14 All 14 (JSON)
- 2026Scaling Empowered Agents9 Oct 2026
- 2026Efficient Exploration Is Enough7 Sep 2026
- 2026Memory Merge DQN: Sensitivity Weighted Target Updates for Stable Value Learning4 Jul 2026
- 2026Contract-Based Compositional Shielding for Safe Multi-Agent Reinforcement Learning12 Jun 2026
- 2026A High-Throughput Compute-Efficient POMDP Hide-And-Seek-Engine (HASE) for Multi-Agent Operations29 Apr 2026
- 2026NASimJax: A GPU-Accelerated Policy Learning Framework for Penetration Testing20 Mar 2026
- 2026SCALAR: Learning and Composing Skills through LLM Guided Symbolic Planning and Deep RL Grounding10 Mar 2026
- 2026TABX: A High-Throughput Sandbox Battle Simulator for Multi-Agent Reinforcement Learning2 Feb 2026
- 2025Multi-Agent Craftax: Benchmarking Open-Ended Multi-Agent Reinforcement Learning at the Hyperscale7 Nov 2025
- 2025A Principle of Targeted Intervention for Multi-Agent Reinforcement Learning20 Oct 2025
- 2025Geometric Analysis of Neural Regression Collapse via Intrinsic Dimension1 Oct 2025
- 2025Scaling DRL for Decision Making: A Survey on Data, Network, and Training Budget Strategies5 Aug 2025
12 newest of 14 All 14 (JSON)
Similar, not cited
Close in wording, no citation either way
- 2025SPEQ: Offline Stabilization Phases for Efficient Q-Learning in High Update-To-Data Ratio Reinforcement Learning
- 2024Time-Scale Separation in Q-Learning: Extending TD(triangle) for Action-Value Function Decomposition
- 2023Offline Reinforcement Learning with On-Policy Q-Function Regularization
- 2024MAD-TD: Model-Augmented Data stabilizes High Update Ratio RL
- 2025Pretraining a Shared Q-Network for Data-Efficient Offline Reinforcement Learning
- 2026ReversedQ: Opportunities for Faster Q-Learning in Episodic Online Reinforcement Learning
- 2019An Optimistic Perspective on Offline Reinforcement Learning
- 2023Boosting Continuous Control with Consistency Policy