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2 changes: 1 addition & 1 deletion principal_component_analysis.ipynb
Original file line number Diff line number Diff line change
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"source": [
"Often, the desired goal is to reduce the dimensions of a $d$-dimensional dataset by projecting it onto a $(k)$-dimensional subspace (where $k\\;<\\;d$) in order to increase the computational efficiency while retaining most of the information. An important question is \"what is the size of $k$ that represents the data 'well'?\"\n",
"\n",
"Later, we will compute eigenvectors (the principal components) of a dataset and collect them in a projection matrix. Each of those eigenvectors is associated with an eigenvalue which can be interpreted as the \"length\" or \"magnitude\" of the corresponding eigenvector. If some eigenvalues have a significantly larger magnitude than others that the reduction of the dataset via PCA onto a smaller dimensional subspace by dropping the \"less informative\" eigenpairs is reasonable.\n"
"Later, we will compute eigenvectors (the principal components) of a dataset and collect them in a projection matrix. Each of those eigenvectors is associated with an eigenvalue which can be interpreted as the \"length\" or \"magnitude\" of the corresponding eigenvector. If some eigenvalues have a significantly larger magnitude than others then the reduction of the dataset via PCA onto a smaller dimensional subspace by dropping the \"less informative\" eigenpairs is reasonable.\n"
]
},
{
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