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<h2 id="___sec0" class="anchor">Reducing the number of degrees of freedom, overarching view </h2>
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<p>
Many Machine Learning problems involve thousands or even millions of features for each training
instance. Not only does this make training extremely slow, it can also make it much harder to find a good
solution, as we will see. This problem is often referred to as the curse of dimensionality.
Fortunately, in real-world problems, it is often possible to reduce the number of features considerably,
turning an intractable problem into a tractable one.
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Here we will discuss some of the most popular dimensionality
reduction techniques: the principal component analysis PCA, Kernel PCA, and Locally Linear Embedding (LLE).
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