SAINT: Attention-Based Policies for Discrete Combinatorial Action Spaces
On the map: Deep reinforcement learning methods → RL with diffusion and flow models
Abstract (arXiv)
The combinatorial structure of many real-world action spaces leads to exponential growth in the number of possible actions, limiting the effectiveness of conventional reinforcement learning algorithms. Recent approaches for combinatorial action spaces impose factorized or sequential structures over sub-actions, failing to capture complex joint behavior. We introduce the Sub-Action Interaction Network using Transformers (SAINT), a novel policy architecture that represents multi-component actions as unordered sets and models their dependencies via self-attention conditioned on the global state. SAINT is permutation-invariant, sample-efficient, and compatible with standard policy optimization algorithms. In 18 distinct combinatorial environments across three task domains, including environments with 1.35 × 1018 possible actions, SAINT consistently outperforms strong baselines.
Key facts. No citing papers in the map yet (data through 14 Oct 2026). Placed in RL with diffusion and flow models, one of 15 directions in Deep reinforcement learning methods. Builds on 46 of its 58 references that are in the map. First posted on arXiv 17 May 2025.
Builds on
46 of 58 references.
References · 46
- 2017Attention Is All You Needcited by 60,361
- 2017Proximal Policy Optimization Algorithmscited by 15,215
- 2018Soft Actor-Critic: Off-Policy Maximum Entropy Deep Reinforcement Learning with a Stochastic Actorcited by 4,885
- 2015Continuous control with deep reinforcement learningcited by 3,407
- 2023RT-2: Vision-Language-Action Models Transfer Web Knowledge to Robotic Controlcited by 3,080
- 2018Addressing Function Approximation Error in Actor-Critic Methodscited by 2,417
- 2017FiLM: Visual Reasoning with a General Conditioning Layercited by 2,333
- 2016Asynchronous Methods for Deep Reinforcement Learningcited by 2,258
- 2022RT-1: Robotics Transformer for Real-World Control at Scalecited by 2,061
- 2015Deep Reinforcement Learning with Double Q-learningcited by 1,745
- 2019Generating Long Sequences with Sparse Transformerscited by 1,546
- 2021Decision Transformer: Reinforcement Learning via Sequence Modelingcited by 1,546
34 more
- 2021Offline Reinforcement Learning with Implicit Q-Learningcited by 1,293
- 2018Off-Policy Deep Reinforcement Learning without Explorationcited by 1,241
- 2018DeepMind Control Suitecited by 956
- 2021The Surprising Effectiveness of PPO in Cooperative, Multi-Agent Gamescited by 942
- 2017Rainbow: Combining Improvements in Deep Reinforcement Learningcited by 786
- 2020AWAC: Accelerating Online Reinforcement Learning with Offline Datasetscited by 671
- 2025FAST: Efficient Action Tokenization for Vision-Language-Action Modelscited by 665
- 2021Offline Reinforcement Learning as One Big Sequence Modeling Problemcited by 644
- 2016Neural Combinatorial Optimization with Reinforcement Learningcited by 608
- 2020Monotonic Value Function Factorisation for Deep Multi-Agent Reinforcement Learningcited by 485
- 2018Reinforcement Learning for Solving the Vehicle Routing Problemcited by 333
- 2022Transformers are Sample-Efficient World Modelscited by 328
- 2018Actor-Attention-Critic for Multi-Agent Reinforcement Learningcited by 261
- 2018Distributed Distributional Deterministic Policy Gradientscited by 199
- 2022Masked World Models for Visual Controlcited by 170
- 2015Deep Reinforcement Learning in Large Discrete Action Spacescited by 161
- 2023Q-Transformer: Scalable Offline Reinforcement Learning via Autoregressive Q-Functionscited by 131
- 2019CityFlow: A Multi-Agent Reinforcement Learning Environment for Large Scale City Traffic Scenariocited by 115
- 2017Action Branching Architectures for Deep Reinforcement Learningcited by 92
- 2015Deep Reinforcement Learning with a Natural Language Action Spacecited by 88
- 2018Learn What Not to Learn: Action Elimination with Deep Reinforcement Learningcited by 77
- 2018Relational Deep Reinforcement Learningcited by 73
- 2019Discretizing Continuous Action Space for On-Policy Optimizationcited by 68
- 2020Reinforcement Learning with Combinatorial Actions: An Application to Vehicle Routingcited by 61
- 2017Discrete Sequential Prediction of Continuous Actions for Deep RLcited by 51
- 2023Leveraging Factored Action Spaces for Efficient Offline Reinforcement Learning in Healthcarecited by 42
- 2022Deep Transformer Q-Networks for Partially Observable Reinforcement Learningcited by 36
- 2020Q-Learning in enormous action spaces via amortized approximate maximizationcited by 30
- 2019Growing Action Spacescited by 29
- 2021StARformer: Transformer with State-Action-Reward Representations for Visual Reinforcement Learningcited by 27
- 2023Generative Modelling of Stochastic Actions with Arbitrary Constraints in Reinforcement Learningcited by 10
- 2018Efficient Entropy for Policy Gradient with Multidimensional Action Spacecited by 5
- 2021Vision Transformer for Learning Driving Policies in Complex Multi-Agent Environmentscited by 5
- 2024An Investigation of Offline Reinforcement Learning in Factorisable Action Spacescited by 3
Built on by
Not cited yet.
Similar, not cited
Close in wording, no citation either way
- 2026Improving and Accelerating Offline RL in Large Discrete Action Spaces with Structured Policy Initialization
- 2026Projecting Latent RL Actions: Towards Generalizable and Scalable Graph Combinatorial Optimization
- 2025Structured Reinforcement Learning for Combinatorial Decision-Making
- 2026Latent Spherical Flow Policy for Reinforcement Learning with Combinatorial Actions
- 2025Reinforcement Learning with Discrete Diffusion Policies for Combinatorial Action Spaces
- 2024Action abstractions for amortized sampling
- 2024Transfer Reinforcement Learning in Heterogeneous Action Spaces using Subgoal Mapping
- 2026Action-Graph Policies: Learning Action Co-dependencies in Multi-Agent Reinforcement Learning