stem/AI/Classification/Classification.md
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STEM/AI/Classification/Classification.md
STEM/AI/Classification/Decision Trees.md
STEM/AI/Classification/Logistic Regression.md
STEM/AI/Classification/Random Forest.md
STEM/AI/Classification/Supervised/SVM.md
STEM/AI/Classification/Supervised/Supervised.md
STEM/AI/Neural Networks/Activation Functions.md
STEM/AI/Neural Networks/CNN/CNN.md
STEM/AI/Neural Networks/CNN/GAN/DC-GAN.md
STEM/AI/Neural Networks/CNN/GAN/GAN.md
STEM/AI/Neural Networks/Deep Learning.md
STEM/AI/Neural Networks/Properties+Capabilities.md
STEM/AI/Neural Networks/SLP/Perceptron Convergence.md
2023-12-27 21:56:22 +00:00

1.0 KiB

tags
ai
classification

Given an observation, determine one class from a set of classes that best explains the observation

Features are discrete or continuous

  • 2 category classifier
    • Dichotomiser

Argmax

Argument that gives the maximum value from a target function

Gaussian Classifier

Training

  • Each class $i$ has it's own Gaussian N_i=N(m_i,v_i)
\hat i=\text{argmax}_i\left(p(o_t|N_i)\cdot P(N_i)\right)
\hat i=\text{argmax}_i\left(p(o_t|N_i)\right)
  • With equal priors

Discrete Classifier

  • Each class i has it's own histogram H_i
    • Describes the probability of each observation type k
    • P(o_t=k|H_i), based on class-specific type counts
\hat i=\text{argmax}_i\left(P(o_t=k|H_i)\right)
  • Nothing else known about classes
\hat i=\text{argmax}_i\left(P(o_t=k|H_i)\cdot P(H_i)\right)
  • Given class priors P(H_i)
  • Maximum posterior probability
    • Bayes