Optimizing Sensory Neurons: Nonlinear Attention Mechanisms for Accelerated Convergence in Permutation-Invariant Neural Networks for Reinforcement Learning

Training reinforcement learning (RL) agents often requires significant computational resources and extended training times. To address this, we build upon the foundation laid by Google Brain's Sensory Neuron, which introduced a novel neural architecture for reinforcement learning tasks that maintained permutation in-variance in the sensory neuron system. While the baseline model demonstrated significant performance improvements over traditional approaches, we identified opportunities to enhance the efficiency of the learning process further. We propose a modified attention mechanism incorporating a non-linear transformation of the key vectors (K) using a mapping function, resulting in a new set of key vectors (K'). This non-linear mapping enhances the representational capacity of the attention mechanism, allowing the model to encode more complex feature interactions and accelerating convergence without compromising performance. Our enhanced model demonstrates significant improvements in learning efficiency, showcasing the potential for non-linear attention mechanisms in advancing reinforcement learning algorithms.