vault backup: 2025-10-28 17:01:24

2025-10-28 17:01:24 -04:00
parent 06222c98b6
commit 1c61b98724
38 changed files with 26018 additions and 122 deletions
@@ -0,0 +1,27 @@
+---
+id:
+aliases: []
+tags:
+  - authorship/original
+  - destiny/permanent
+  - status/incomplete
+  - topic/math
+  - type/encyclopedia
+title: Sigmoid Functions
+---
+# Sigmoid Functions
+
+![[sigmoid-function-example.excalidraw]]
+
+$f'(x)$ is a **sigmoid** function.
+
+A sigmoid function compresses a function with infinite range to (0,1)
+
+This is preferable to a floor-ceiling piece-wise function
+since it remains differentiable.
+
+## Formula
+
+$$
+\sigma(x) = \frac{1}{1 + e^{-x}}
+$$