Methods › General › Activation Functions › CELU

Continuously Differentiable Exponential Linear Units

CELU

2 papers tagged archive 2025-07-28

archive 2025-07-28 Description, source and code snippet are the archive's method entry.

Exponential Linear Units (ELUs) are a useful rectifier for constructing deep learning architectures, as they may speed up and otherwise improve learning by virtue of not have vanishing gradients and by having mean activations near zero. However, the ELU activation as parametrized in [1] is not continuously differentiable with respect to its input when the shape parameter alpha is not equal to 1. We present an alternative parametrization which is C1 continuous for all values of alpha, making the rectifier easier to reason about and making alpha easier to tune. This alternative parametrization has several other useful properties that the original parametrization of ELU does not: 1) its derivative with respect to x is bounded, 2) it contains both the linear transfer function and ReLU as special cases, and 3) it is scale-similar with respect to alpha. CELU(x) = max(0,x) + min(0, α* (exp(x/α) - 1))

Papers archive 2025-07-28

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Tasks archive 2025-07-28

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Usage over time archive 2025-07-28

Papers per year tagged with CELU: 2017 to 2025, peak 1 1 0 2017: 1 paper 2017 2018: 0 papers 2018 2019: 0 papers 2019 2020: 0 papers 2020 2021: 0 papers 2021 2022: 0 papers 2022 2023: 0 papers 2023 2024: 0 papers 2024 2025: 1 paper 2025
Papers per year the archive tags with this method, by the paper's archive date (2 dated). Bars are counts, not a trend claim.

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Categories archive 2025-07-28

Activation Functions

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