Reinforcement Learning with History-Dependent Dynamic Contexts
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Abstract (arXiv)
We introduce Dynamic Contextual Markov Decision Processes (DCMDPs), a novel reinforcement learning framework for history-dependent environments that generalizes the contextual MDP framework to handle non-Markov environments, where contexts change over time. We consider special cases of the model, with a focus on logistic DCMDPs, which break the exponential dependence on history length by leveraging aggregation functions to determine context transitions. This special structure allows us to derive an upper-confidence-bound style algorithm for which we establish regret bounds. Motivated by our theoretical results, we introduce a practical model-based algorithm for logistic DCMDPs that plans in a latent space and uses optimism over history-dependent features. We demonstrate the efficacy of our approach on a recommendation task (using MovieLens data) where user behavior dynamics evolve in response to recommendations.
Key facts. Cited by 11 papers in the map (data through 7 Oct 2026). Builds on 25 of its 47 references that are in the map. First posted on arXiv 4 Feb 2023.
Builds on
25 of 47 references.
References · 25
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- 2023Mastering Diverse Domains through World Modelscited by 1,193
- 2017Minimax Regret Bounds for Reinforcement Learningcited by 500
- 2016Contextual Decision Processes with Low Bellman Rank are PAC-Learnablecited by 290
- 2015Contextual Markov Decision Processescited by 213
- 2019VariBAD: A Very Good Method for Bayes-Adaptive Deep RL via Meta-Learningcited by 210
- 2021Reinforcement learning based recommender systems: A surveycited by 187
- 2017Unifying PAC and Regret: Uniform PAC Bounds for Episodic Reinforcement Learningcited by 175
- 2022When Is Partially Observable Reinforcement Learning Not Scary?cited by 100
- 2020Controllable Multi-Interest Framework for Recommendationcited by 92
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- 2019Off-Policy Evaluation in Partially Observable Environmentscited by 65
13 more
- 2020Instance-Wise Minimax-Optimal Algorithms for Logistic Banditscited by 56
- 2020Reinforcement Learning with Trajectory Feedbackcited by 40
- 2017Generalized Self-Concordant Functions: A Recipe for Newton-Type Methodscited by 33
- 2018Variance Reduction for Reinforcement Learning in Input-Driven Environmentscited by 30
- 2019Distributional Policy Optimization: An Alternative Approach for Continuous Controlcited by 21
- 2021Sublinear Regret for Learning POMDPscited by 19
- 2022An Adaptive Deep RL Method for Non-Stationary Environments with Piecewise Stable Contextcited by 15
- 2021UCB-based Algorithms for Multinomial Logistic Regression Banditscited by 12
- 2021Confidence-Budget Matching for Sequential Budgeted Learningcited by 11
- 2022Reinforcement Learning in Presence of Discrete Markovian Context Evolutioncited by 9
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- 2019Advantage Amplification in Slowly Evolving Latent-State Environmentscited by 4
- 2022Reinforcement Learning with a Terminatorcited by 4
Built on by
Citing papers per year: 2023: 3; 2024: 1; 2025: 5; 2026: 2.
11 papers.
- 2025Adaptive Context Length Optimization with Low-Frequency Truncation for Multi-Agent Reinforcement Learningcited by 6
- 2024DynaMITE-RL: A Dynamic Model for Improved Temporal Meta-Reinforcement Learningcited by 3
- 2025Reinforcement Learning in Switching Non-Stationary Markov Decision Processes: Algorithms and Convergence Analysiscited by 2
- 2025Learning to Decide with Just Enough: Information-Theoretic Context Summarization for CMDPscited by 2
- 2023Reinforcement Learning under External Influence: Guarantees, Algorithms, and Sample Complexitycited by 1
- 2023Anytime-Competitive Reinforcement Learning with Policy Priorcited by 1
- 2026Personalized Group Relative Policy Optimization for Heterogenous Preference Alignmentcited by 1
- 2023Ranking with Popularity Bias: User Welfare under Self-Amplification Dynamicscited by 0
- 2025Wavelet Predictive Representations for Non-Stationary Reinforcement Learningcited by 0
- 2025Reinforcement Learning and Consumption-Savings Behaviorcited by 0
- 2026Dynamic Context Scheduling: Learning Beyond the Static Universecited by 0
- 2026Dynamic Context Scheduling: Learning Beyond the Static Universe21 Aug 2026
- 2026Personalized Group Relative Policy Optimization for Heterogenous Preference Alignment17 Feb 2026
- 2025Adaptive Context Length Optimization with Low-Frequency Truncation for Multi-Agent Reinforcement Learning30 Oct 2025
- 2025Reinforcement Learning and Consumption-Savings Behavior23 Oct 2025
- 2025Wavelet Predictive Representations for Non-Stationary Reinforcement Learning6 Oct 2025
- 2025Learning to Decide with Just Enough: Information-Theoretic Context Summarization for CMDPs2 Oct 2025
- 2025Reinforcement Learning in Switching Non-Stationary Markov Decision Processes: Algorithms and Convergence Analysis24 Mar 2025
- 2024DynaMITE-RL: A Dynamic Model for Improved Temporal Meta-Reinforcement Learning25 Feb 2024
- 2023Anytime-Competitive Reinforcement Learning with Policy Prior2 Nov 2023
- 2023Reinforcement Learning under External Influence: Guarantees, Algorithms, and Sample Complexity25 May 2023
- 2023Ranking with Popularity Bias: User Welfare under Self-Amplification Dynamics24 May 2023