mlsanityData to 7 Oct 2026

The Sensory Neuron as a Transformer: Permutation-Invariant Neural Networks for Reinforcement Learning

arXiv 2109.02869 ↗First posted 7 Sep 2021cs.NEcited by 50

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Abstract (arXiv)

In complex systems, we often observe complex global behavior emerge from a collection of agents interacting with each other in their environment, with each individual agent acting only on locally available information, without knowing the full picture. Such systems have inspired development of artificial intelligence algorithms in areas such as swarm optimization and cellular automata. Motivated by the emergence of collective behavior from complex cellular systems, we build systems that feed each sensory input from the environment into distinct, but identical neural networks, each with no fixed relationship with one another. We show that these sensory networks can be trained to integrate information received locally, and through communication via an attention mechanism, can collectively produce a globally coherent policy. Moreover, the system can still perform its task even if the ordering of its inputs is randomly permuted several times during an episode. These permutation invariant systems also display useful robustness and generalization properties that are broadly applicable. Interactive demo and videos of our results: https://attentionneuron.github.io/

Key facts. Cited by 50 papers in the map (data through 7 Oct 2026). First posted on arXiv 7 Sep 2021.

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Citing papers per year: 2021: 4; 2022: 14; 2023: 12; 2024: 11; 2025: 5; 2026: 4.

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  1. 2021A Survey of Zero-shot Generalisation in Deep Reinforcement Learningcited by 164
  2. 2021Generalized Decision Transformer for Offline Hindsight Information Matchingcited by 105
  3. 2022General-Purpose In-Context Learning by Meta-Learning Transformerscited by 102
  4. 2023A Survey on Transformers in Reinforcement Learningcited by 50
  5. 2022Discovering Evolution Strategies via Meta-Black-Box Optimizationcited by 44
  6. 2022On Transforming Reinforcement Learning by Transformer: The Development Trajectorycited by 35
  7. 2023Discovering Attention-Based Genetic Algorithms via Meta-Black-Box Optimizationcited by 33
  8. 2021StARformer: Transformer with State-Action-Reward Representations for Visual Reinforcement Learningcited by 27
  9. 2022Policy Architectures for Compositional Generalization in Controlcited by 23
  10. 2023Inducing Point Operator Transformer: A Flexible and Scalable Architecture for Solving PDEscited by 16
  11. 2022Learning to Generalize with Object-centric Agents in the Open World Survival Game Craftercited by 13
  12. 2022Relational Reasoning via Set Transformers: Provable Efficiency and Applications to MARLcited by 12
38 more
  1. 2023Decision Transformer under Random Frame Droppingcited by 10
  2. 2022Goal-Guided Neural Cellular Automata: Learning to Control Self-Organising Systemscited by 9
  3. 2024Evolution Transformer: In-Context Evolutionary Optimizationcited by 9
  4. 2024Heuristically Adaptive Diffusion-Model Evolutionary Strategycited by 6
  5. 2022Minimal Neural Network Models for Permutation Invariant Agentscited by 4
  6. 2023Learning multi-modal generative models with permutation-invariant encoders and tighter variational objectivescited by 4
  7. 2024Structurally Flexible Neural Networks: Evolving the Building Blocks for General Agentscited by 4
  8. 2024An Evolved Universal Transformer Memorycited by 4
  9. 2022A Survey on Explainable Reinforcement Learning: Concepts, Algorithms, Challengescited by 3
  10. 2022Policy Learning for Active Target Tracking over Continuous SE(3) Trajectoriescited by 3
  11. 2023Cooperation Is All You Needcited by 3
  12. 2023Imagination-Augmented Hierarchical Reinforcement Learning for Safe and Interactive Autonomous Driving in Urban Environmentscited by 3
  13. 2023Traffic Signal Control Using Lightweight Transformers: An Offline-to-Online RL Approachcited by 3
  14. 2025Shared Modular Recurrence in Contextual MDPs for Universal Morphology Controlcited by 3
  15. 2022Collective Intelligence for 2D Push Manipulations with Mobile Robotscited by 2
  16. 2024XRL-Bench: A Benchmark for Evaluating and Comparing Explainable Reinforcement Learning Techniquescited by 2
  17. 2024LayerShuffle: Enhancing Robustness in Vision Transformers by Randomizing Layer Execution Ordercited by 2
  18. 2025Discovering Quality-Diversity Algorithms via Meta-Black-Box Optimizationcited by 2
  19. 2025Should We Ever Prefer Decision Transformer for Offline Reinforcement Learning?cited by 2
  20. 2026Scalable Machines with Intrinsic Higher Mental-State Dynamicscited by 2
  21. 2021Reinforcement Learning on Encrypted Datacited by 1
  22. 2022Reinforcement Teachingcited by 1
  23. 2022Sample Efficient Dynamics Learning for Symmetrical Legged Robots:Leveraging Physics Invariance and Geometric Symmetriescited by 1
  24. 2023Personalized Federated Learning via Gradient Modulation for Heterogeneous Text Summarizationcited by 1
  25. 2023The Role of Diverse Replay for Generalisation in Reinforcement Learningcited by 1
  26. 2023Improving Robustness for Vision Transformer with a Simple Dynamic Scanning Augmentationcited by 1
  27. 2024TokenMark: A Modality-Agnostic Watermark for Pre-trained Transformerscited by 1
  28. 2024Training on Irrelevant States Implies Data Augmentation: Generalization in Contextual MDPscited by 1
  29. 2025A Novel Switch-Type Policy Network for Resource Allocation Problems: Technical Reportcited by 1
  30. 2022Information Topologycited by 0
  31. 2023Amortized Network Intervention to Steer the Excitatory Point Processescited by 0
  32. 2024What is Intelligence? A Cycle Closure Perspectivecited by 0
  33. 2024Explore-Go: Leveraging Exploration for Generalisation in Deep Reinforcement Learningcited by 0
  34. 2024Generalisation to unseen topologies: Towards control of biological neural network activitycited by 0
  35. 2025The Generalist Brain Module: Module Repetition in Neural Networks in Light of the Minicolumn Hypothesiscited by 0
  36. 2026Sparse Masked Attention Policies for Reliable Generalizationcited by 0
  37. 2026Investigating Permutation-Invariant Discrete Representation Learning for Spatially Aligned Imagescited by 0
  38. 2026An Attention-based Model for Robust Forecasting with Missing Modalitycited by 0