AI by Hand ✍️

AI by Hand ✍️

Softplus

Activation series: 10 of 12

Prof. Tom Yeh's avatar
Prof. Tom Yeh
May 11, 2026
∙ Paid

Activation Series:

  1. Softmax

  2. Sigmoid

  3. Tanh

  4. ReLU

  5. Leaky ReLU

  6. ELU

  7. SiLU

  8. GELU

  9. Log-Sum-Exp

  10. Softplus

  11. GLU

  12. SwiGLU

Softplus is the simplest case of log-sum-exp: a single input weighed against a fixed baseline of zero. It's two-input LSE with the second input pinned to e⁰ = 1. Outside hidden layers, softplus is the natural form of binary cross-entropy loss: −log(σ(x)) = softplus(−x).

Paid members: open the interactive diagram below ↓

This post is for paid subscribers

Already a paid subscriber? Sign in
© 2026 Tom Yeh · Privacy ∙ Terms ∙ Collection notice
Start your SubstackGet the app
Substack is the home for great culture