How to Discount Deep Reinforcement Learning: Towards New Dynamic Strategies
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Abstract (arXiv)
Using deep neural nets as function approximator for reinforcement learning tasks have recently been shown to be very powerful for solving problems approaching real-world complexity. Using these results as a benchmark, we discuss the role that the discount factor may play in the quality of the learning process of a deep Q-network (DQN). When the discount factor progressively increases up to its final value, we empirically show that it is possible to significantly reduce the number of learning steps. When used in conjunction with a varying learning rate, we empirically show that it outperforms original DQN on several experiments. We relate this phenomenon with the instabilities of neural networks when they are used in an approximate Dynamic Programming setting. We also describe the possibility to fall within a local optimum during the learning process, thus connecting our discussion with the exploration/exploitation dilemma.
Key facts. Cited by 26 papers in the map (data through 7 Oct 2026). First posted on arXiv 7 Dec 2015.
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Citing papers per year: 2021: 6; 2022: 3; 2023: 4; 2024: 8; 2025: 1; 2026: 4.
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- 2023Bigger, Better, Faster: Human-level Atari with human-level efficiencycited by 145
- 2024Bigger, Regularized, Optimistic: scaling for compute and sample-efficient continuous controlcited by 104
- 2021Deep Reinforcement Learning Versus Evolution Strategies: A Comparative Surveycited by 23
- 2024On the consistency of hyper-parameter selection in value-based deep reinforcement learningcited by 21
- 2023Imitation Learning from Observation with Automatic Discount Schedulingcited by 10
- 2021Theoretical Guarantees of Fictitious Discount Algorithms for Episodic Reinforcement Learning and Global Convergence of Policy Gradient Methodscited by 7
- 2021ACERAC: Efficient reinforcement learning in fine time discretizationcited by 4
- 2021Taylor Expansion of Discount Factorscited by 4
- 2022Posterior Sampling for Continuing Environmentscited by 4
- 2023A Tale of Sampling and Estimation in Discounted Reinforcement Learningcited by 4
- 2025Graph-Enhanced Policy Optimization in LLM Agent Trainingcited by 2
- 2026Modularized Reinforcement Learning on LLMs: From MDP Creation to Exploration and Learningcited by 2
14 more
- 2023Truncating Trajectories in Monte Carlo Reinforcement Learningcited by 1
- 2024On shallow planning under partial observabilitycited by 1
- 2026AdaGamma: State-Dependent Discounting for Temporal Adaptation in Reinforcement Learningcited by 1
- 2021Neural Network Based Model Predictive Control for an Autonomous Vehiclecited by 0
- 2021Automatic tuning of hyper-parameters of reinforcement learning algorithms using Bayesian optimization with behavioral cloningcited by 0
- 2022Optimizing the Long-Term Behaviour of Deep Reinforcement Learning for Pushing and Graspingcited by 0
- 2022Factors of Influence of the Overestimation Bias of Q-Learningcited by 0
- 2024Adaptive Discounting of Training Time Attackscited by 0
- 2024Hard-Thresholding Meets Evolution Strategies in Reinforcement Learningcited by 0
- 2024Time-Scale Separation in Q-Learning: Extending TD(triangle) for Action-Value Function Decompositioncited by 0
- 2024Segmenting Action-Value Functions Over Time-Scales in SARSA via TD(Delta)cited by 0
- 2024Supervised Learning-enhanced Multi-Group Actor Critic for Live Stream Allocation in Feedcited by 0
- 2026Decoupling Time and Risk: Risk-Sensitive Reinforcement Learning with General Discountingcited by 0
- 2026Learning the Supports for Categorical Critic in Reinforcement Learningcited by 0
- 2026Learning the Supports for Categorical Critic in Reinforcement Learning2 Jul 2026
- 2026Modularized Reinforcement Learning on LLMs: From MDP Creation to Exploration and Learning20 Jun 2026
- 2026AdaGamma: State-Dependent Discounting for Temporal Adaptation in Reinforcement Learning7 May 2026
- 2026Decoupling Time and Risk: Risk-Sensitive Reinforcement Learning with General Discounting4 Feb 2026
- 2025Graph-Enhanced Policy Optimization in LLM Agent Training30 Oct 2025
- 2024Supervised Learning-enhanced Multi-Group Actor Critic for Live Stream Allocation in Feed28 Nov 2024
- 2024Segmenting Action-Value Functions Over Time-Scales in SARSA via TD(Delta)22 Nov 2024
- 2024Time-Scale Separation in Q-Learning: Extending TD(triangle) for Action-Value Function Decomposition21 Nov 2024
- 2024On shallow planning under partial observability22 Jul 2024
- 2024On the consistency of hyper-parameter selection in value-based deep reinforcement learning25 Jun 2024
- 2024Bigger, Regularized, Optimistic: scaling for compute and sample-efficient continuous control25 May 2024
- 2024Hard-Thresholding Meets Evolution Strategies in Reinforcement Learning2 May 2024
14 more
- 2024Adaptive Discounting of Training Time Attacks5 Jan 2024
- 2023Imitation Learning from Observation with Automatic Discount Scheduling11 Oct 2023
- 2023Bigger, Better, Faster: Human-level Atari with human-level efficiency30 May 2023
- 2023Truncating Trajectories in Monte Carlo Reinforcement Learning7 May 2023
- 2023A Tale of Sampling and Estimation in Discounted Reinforcement Learning11 Apr 2023
- 2022Posterior Sampling for Continuing Environments29 Nov 2022
- 2022Factors of Influence of the Overestimation Bias of Q-Learning11 Oct 2022
- 2022Optimizing the Long-Term Behaviour of Deep Reinforcement Learning for Pushing and Grasping7 Apr 2022
- 2021Automatic tuning of hyper-parameters of reinforcement learning algorithms using Bayesian optimization with behavioral cloning15 Dec 2021
- 2021Deep Reinforcement Learning Versus Evolution Strategies: A Comparative Survey28 Sep 2021
- 2021Theoretical Guarantees of Fictitious Discount Algorithms for Episodic Reinforcement Learning and Global Convergence of Policy Gradient Methods13 Sep 2021
- 2021Neural Network Based Model Predictive Control for an Autonomous Vehicle30 Jul 2021
- 2021Taylor Expansion of Discount Factors11 Jun 2021
- 2021ACERAC: Efficient reinforcement learning in fine time discretization8 Apr 2021
- 2025Graph-Enhanced Policy Optimization in LLM Agent Trainingcited by 2
- 2025Graph-Enhanced Policy Optimization in LLM Agent Training30 Oct 2025
- 2024Adaptive Discounting of Training Time Attackscited by 0
- 2024Adaptive Discounting of Training Time Attacks5 Jan 2024
- 2023Bigger, Better, Faster: Human-level Atari with human-level efficiencycited by 145
- 2024Bigger, Regularized, Optimistic: scaling for compute and sample-efficient continuous controlcited by 104
- 2021Deep Reinforcement Learning Versus Evolution Strategies: A Comparative Surveycited by 23
- 2024On the consistency of hyper-parameter selection in value-based deep reinforcement learningcited by 21
- 2021Theoretical Guarantees of Fictitious Discount Algorithms for Episodic Reinforcement Learning and Global Convergence of Policy Gradient Methodscited by 7
- 2021ACERAC: Efficient reinforcement learning in fine time discretizationcited by 4
- 2021Taylor Expansion of Discount Factorscited by 4
- 2022Posterior Sampling for Continuing Environmentscited by 4
- 2023A Tale of Sampling and Estimation in Discounted Reinforcement Learningcited by 4
- 2023Truncating Trajectories in Monte Carlo Reinforcement Learningcited by 1
- 2024On shallow planning under partial observabilitycited by 1
- 2026AdaGamma: State-Dependent Discounting for Temporal Adaptation in Reinforcement Learningcited by 1
12 most cited of 20 All 20 (JSON)
- 2026Learning the Supports for Categorical Critic in Reinforcement Learning2 Jul 2026
- 2026AdaGamma: State-Dependent Discounting for Temporal Adaptation in Reinforcement Learning7 May 2026
- 2026Decoupling Time and Risk: Risk-Sensitive Reinforcement Learning with General Discounting4 Feb 2026
- 2024Supervised Learning-enhanced Multi-Group Actor Critic for Live Stream Allocation in Feed28 Nov 2024
- 2024Segmenting Action-Value Functions Over Time-Scales in SARSA via TD(Delta)22 Nov 2024
- 2024Time-Scale Separation in Q-Learning: Extending TD(triangle) for Action-Value Function Decomposition21 Nov 2024
- 2024On shallow planning under partial observability22 Jul 2024
- 2024On the consistency of hyper-parameter selection in value-based deep reinforcement learning25 Jun 2024
- 2024Bigger, Regularized, Optimistic: scaling for compute and sample-efficient continuous control25 May 2024
- 2024Hard-Thresholding Meets Evolution Strategies in Reinforcement Learning2 May 2024
- 2023Bigger, Better, Faster: Human-level Atari with human-level efficiency30 May 2023
- 2023Truncating Trajectories in Monte Carlo Reinforcement Learning7 May 2023
12 newest of 20 All 20 (JSON)