AIMech AI

Sigmoid Function

MathematicalFunction AIO:SigmoidFunction NOT_REVIEWED
A mathematical function that applies the sigmoid activation function sigmoid(x) = 1 / (1 + exp(-x)) always returning a value between 0 and 1.
Ontology IRI: https://w3id.org/aio/SigmoidFunction

Ontology Structure & Relationships

Parent Classes
Branches
MathematicalFunction

Annotations & Sources

Synonyms:
  • tore exact
Definition Sources:
Subsets:
  • https://w3id.org/aio/ActivationFunctionSubset
  • https://w3id.org/aio/FunctionSubset

Curated AIMech Concepts Grounded to this Class

2 Concepts
Curated Concept Kind Mapping Relation Rationale
Stochastic-times-smooth unit
AIMech:StochasticTimesSmoothUnit
Mathematical Methods related_match The specified construction uses the pinned sigmoid function to define p before taking its square root for both gate probability and amplitude. This is a stochastic-construction-to-component relationship, not equivalence to sigmoid or a deterministic-function subclass.
Structurally constrained recurrent neural network
AIMech:StructurallyConstrainedRecurrentNeuralNetwork
Architectures related_match The paper names a sigmoid fast-state operation and the author graph uses nn.Sigmoid. The architecture is related to its activation function, not a subclass of that mathematical function.

Import Provenance & Upstream Synchronization

Source Repo: AIO GitHub
Release Version: aio.json
Commit: 397851c547…
License: CC-BY-4.0
Imported At: 2026-10-10T07:34:10Z
SHA256: 8f741d71408c…
Source File: data/aio/SigmoidFunction.yaml