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SmartMixed: A Two-Phase Training Strategy for Adaptive Activation Function Learning in Neural Networks

arXiv 2510.22450 ↗First posted 25 Oct 2025cs.LG cs.AIcited by 0

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Abstract (arXiv)

The choice of activation function plays a critical role in neural networks, yet most architectures still rely on fixed, uniform activation functions across all neurons. We introduce SmartMixed, a novel two-phase training strategy that allows networks to learn optimal per-neuron activation functions while preserving computational efficiency at inference. In the first phase, neurons adaptively select from a pool of candidate activation functions (ReLU, Sigmoid, Tanh, Leaky_ReLU, ELU, SELU) using a differentiable hard mixture mechanism. In the second phase, each neuron's activation function is fixed according to the learned selection, resulting in a computationally efficient network that supports continued training with optimized vectorized operations. We evaluate SmartMixed on the MNIST dataset using feedforward neural networks of different architectures. Our analysis reveals that neurons in different layers exhibit distinct preferences for activation functions, providing insights into the functional diversity within neural architectures. We also demonstrated that SmartMixed effectively trains the network by allowing neurons to select their preferred activation functions, competing against models using a single fixed state-of-the-art activation function.

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References · 8

  1. 2016Categorical Reparameterization with Gumbel-Softmaxcited by 2,708
  2. 2018DARTS: Differentiable Architecture Searchcited by 1,782
  3. 2015Fast and Accurate Deep Network Learning by Exponential Linear Units (ELUs)cited by 1,061
  4. 2017Sigmoid-Weighted Linear Units for Neural Network Function Approximation in Reinforcement Learningcited by 935
  5. 2017Self-Normalizing Neural Networkscited by 591
  6. 2020A survey on modern trainable activation functionscited by 89
  7. 2017Dynamic Graph Convolutional Networkscited by 83
  8. 2018Using Neural Network for Identifying Clickbaits in Online News Mediacited by 5

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