andy
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Affected files: .obsidian/graph.json .obsidian/workspace-mobile.json .obsidian/workspace.json Food/Meal Plan.md Lab/Linux/Alpine.md Lab/Linux/KDE.md Lab/Scratch Domain.md Lab/Windows/Active Directory.md Languages/Spanish/README.md Languages/Spanish/Spanish.md Money/Accounts.md Money/Monthly/23-04.md Money/Monthly/23-05.md Money/Monthly/23-06.md Projects/Mixonomer.md Projects/NoteCrawler.md Projects/Projects.md Projects/README.md Projects/Selector.md Projects/To Do App.md Projects/img/selector-arch.png STEM/AI/Classification/Supervised/SVM.md STEM/AI/Neural Networks/CNN/FCN/Super-Resolution.md STEM/AI/Neural Networks/CNN/GAN/GAN.md STEM/AI/Neural Networks/CNN/GAN/cGAN.md STEM/AI/Neural Networks/CNN/Interpretation.md STEM/AI/Neural Networks/Deep Learning.md STEM/AI/Neural Networks/MLP/MLP.md STEM/AI/Neural Networks/Properties+Capabilities.md STEM/AI/Neural Networks/RNN/Representation Learning.md STEM/AI/Pattern Matching/Markov/Markov.md STEM/AI/Searching/Informed.md STEM/AI/Searching/README.md STEM/AI/Searching/Searching.md STEM/AI/Searching/Uninformed.md STEM/CS/Languages/Javascript.md STEM/CS/Languages/Python.md STEM/CS/Languages/dotNet.md STEM/CS/Resources.md STEM/IOT/Cyber-Physical Systems.md STEM/IOT/Networking/Networking.md STEM/IOT/Networking/README.md STEM/IOT/Software Services.md STEM/img/cyberphysical-social-data.png STEM/img/cyberphysical-system-types.png STEM/img/cyberphysical-systems.png STEM/img/depth-first-cons.png STEM/img/depth-first.png STEM/img/iot-mesh-network.png STEM/img/iot-network-radar.png STEM/img/iot-network-types 1.png STEM/img/iot-network-types.png STEM/img/markov-start-end-matrix.png STEM/img/markov-start-end-probs.png STEM/img/markov-start-end.png STEM/img/markov-state-duration.png STEM/img/markov-state.png STEM/img/markov-weather.png STEM/img/search-bidirectional.png STEM/img/search-breadth-first.png STEM/img/search-lim-goal.png STEM/img/search-lim1.png STEM/img/search-lim2.png STEM/img/search-lim3-2.png STEM/img/search-lim3.png STEM/img/search-lim4.png STEM/img/searching-graph-tree.png STEM/img/searching-graph.png Work/Freelancing.md |
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README.md | ||
Supervised.md | ||
SVM.md |
Gaussian Classifier
- With
T
labelled data
q_t(i)=
\begin{cases}
1 & \text{if class } i \\
0 & \text{otherwise}
\end{cases}$$
- Indicator function
- Mean parameter
$$\hat m_i=\frac{\sum_tq_t(i)o_t}{\sum_tq_t(i)}$$
- Variance parameter
$$\hat v_i=\frac{\sum_tq_t(i)(o_t-\hat m_i)^2}{\sum_tq_t(i)}$$
- Distribution weight
- Class prior
- $P(N_i)$
$$\hat c_i=\frac 1 T \sum_tq_t(i)$$
$$\hat \mu_i=\frac{\sum_{t=1}^Tq_t(i)o_t}{\sum_{t=1}^Tq_t(i)}$$
$$\hat\sum_i=\frac{\sum_{t=1}^Tq_t(i)(o_t-\mu_i)(o_t-\mu_i)^T}{\sum_{t=1}^Tq_t(i)}$$
- For K-dimensional