stem/AI/Neural Networks/MLP.md
andy 64276f270d vault backup: 2023-05-23 17:05:48
Affected files:
.obsidian/graph.json
.obsidian/workspace-mobile.json
.obsidian/workspace.json
STEM/AI/Literature.md
STEM/AI/Neural Networks/MLP.md
STEM/AI/Properties.md
STEM/Quantum/Orbitals.md
STEM/Quantum/Schrödinger.md
STEM/Quantum/Wave Function.md
STEM/Signal Proc/Convolution.md
STEM/Signal Proc/Image/Image Processing.md
STEM/img/hydrogen-electron-density.png
STEM/img/hydrogen-wave-function.png
STEM/img/orbitals-radius.png
STEM/img/radial-equations.png
STEM/img/radius-electron-density-wf.png
STEM/img/wave-function-nodes.png
STEM/img/wave-function-polar-segment.png
STEM/img/wave-function-polar.png
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787 B

  • Feed-forward
  • Single hidden layer can learn any function
    • Universal approximation theorem
  • Each hidden layer can operate as a different feature extraction layer
  • Lots of weights to learn
  • Back-Propagation is supervised

!mlp-arch.png

Universal Approximation Theory

A finite feed-forward MLP with 1 hidden layer can in theory approximate any mathematical function

!activation-function.png !mlp-arch-diagram.png

Weight Matrix

  • Use matrix multiplication for layer output
  • TLU is hard limiter !tlu.png
  • o_1 to o_4 must all be one to overcome -3.5 bias and force output to 1 !mlp-non-linear-decision.png
  • Can generate a non-linear Decision Boundary