stem/AI/Neural Networks/Learning/Competitive Learning.md
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STEM/AI/Classification/Classification.md
STEM/AI/Classification/Decision Trees.md
STEM/AI/Classification/Gradient Boosting Machine.md
STEM/AI/Classification/Logistic Regression.md
STEM/AI/Classification/Random Forest.md
STEM/AI/Classification/Supervised.md
STEM/AI/Classification/Supervised/README.md
STEM/AI/Classification/Supervised/SVM.md
STEM/AI/Classification/Supervised/Supervised.md
STEM/AI/Learning.md
STEM/AI/Neural Networks/Learning/Boltzmann.md
STEM/AI/Neural Networks/Learning/Competitive Learning.md
STEM/AI/Neural Networks/Learning/Credit-Assignment Problem.md
STEM/AI/Neural Networks/Learning/Hebbian.md
STEM/AI/Neural Networks/Learning/Learning.md
STEM/AI/Neural Networks/Learning/README.md
STEM/AI/Neural Networks/RNN/Autoencoder.md
STEM/AI/Neural Networks/RNN/Deep Image Prior.md
STEM/AI/Neural Networks/RNN/MoCo.md
STEM/AI/Neural Networks/RNN/Representation Learning.md
STEM/AI/Neural Networks/RNN/SimCLR.md
STEM/img/comp-learning.png
STEM/img/competitive-geometric.png
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STEM/img/receiver-operator-curve.png
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40 lines
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Markdown

- Only single output neuron fires
1. Set of homogeneous neurons with some randomly distributed synaptic weights
- Respond differently to given set of input patterns
2. Limit imposed on strength of each neuron
3. Mechanism to allow neurons to compete for right to respond to a given subset of inputs
- Only one output neuron active at a time
- Or only one neuron per group
- ***Winner-takes-all neuron***
![](../../../img/comp-learning.png)
- Lateral inhibition
- Neurons inhibit other neurons
- Winning neuron must have highest induced local field for given input pattern
- Winning neuron is squashed to 1
- Others are clamped to 0
$$y_k=
\begin{cases}
1 & \text{if } v_k > v_j \text{ for all } j,j\neq k \\
0 & \text{otherwise}
\end{cases}
$$
- Neuron has fixed amount of weight spread amongst input synapses
- Sums to 1
- Learn by shifting weights from inactive to active input nodes
- Each input node relinquishes some proportion of weight
- Distributed amongst active nodes
$$\Delta w_{kj}=
\begin{cases}
\eta(x_j-w_{kj}) & \text{if neuron $k$ wins the competition}\\
0 & \text{if neuron $k$ loses the competition}
\end{cases}$$
- Individual neurons learn to specialise on ensembles of similar patterns
- Feature detectors
![](../../../img/competitive-geometric.png)