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obsidian/Programming/ML/math_neuron.excalidraw.md
2026-07-30 11:35:10 +05:00

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---
excalidraw-plugin: parsed
tags: [excalidraw]
---
==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== You can decompress Drawing data with the command palette: 'Decompress current Excalidraw file'. For more info check in plugin settings under 'Saving'
# Excalidraw Data
## Text Elements
Сумматор ^eoXigQE7
Входы ^c6LNyn5Z
Выход ^Reatmwcx
функция
активации ^p1CnkaHD
Синаптические
Веса ^CzCd87Gi
X0 ^KG7wTDwN
X1 ^pKqpp5NE
X2 ^9jdgFHlz
y = f(z) = f(w0*x0 + w1*x1 + w2*x2 + b) =
= f( Wi*Xi + b) = f(<w,x> + b) ^ydZiMmwT
w0 ^KgPEhrJf
w2 ^5YsZzuIT
w1 ^gmIPe7en
b ^TA0ZpGxk
Смещение ^4oMkKFQ2
Пороговая функция активации ^Fby5rINQ
f(z) = ^Wtzc7elR
0, if z <= 0 ^2VLlX4H8
1, if z > 0 ^Juu93i4z
<w,x> + b) = 0 ^3bkWDhVu
x1 ^G2NuXLrN
x0 ^3MI8BRyG
w ^yqXadioN
Разделяющая поверхность
нейрона линейна ^1NbMMJz8
Разделяющая поверхность - плоскость,
которая задается весами w и смещением b, которая делит
пространство возможных входных комбинаций на две части ^rou9L5MR
Сигмоида ^8HwMXvnR
σ(x) = ^4L6qPsOe
1 ^Nnfk13tN
1 + e ^txthKxIm
-x ^QUIpDQes
при ^wekvuPDB
x ^Uh3Bj5cp
∞ ^g5UCrHR2
1 ^YYVVBXfn
σ(x) ^m8YuxLqA
при ^6rQqQHkA
x ^6LqTbBdP
-∞ ^UGwEgn1Q
σ(x) ^Xl8ixRFq
0 ^E6NmW00n
0 < σ(x) < 1 ^CKGACLnw
x ^26s858cp
f(x) ^H2XGOclX
1 ^A2qeX3Ho
0 ^md9DJ92d
%%
## Drawing
```compressed-json
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```
%%