Learning vector quantization: Difference between revisions

Revision as of 01:13, 23 May 2025

Revision as of 01:18, 23 May 2025

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==Algorithm==

SetThe algorithms are presented as in up:<ref>{{Citation |last=Kohonen |first=Teuvo |title=Learning Vector Quantization |date=2001 |work=Self-Organizing Maps |volume=30 |pages=245–261 |url=http://link.springer.com/10.1007/978-3-642-56927-2_6 |place=Berlin, Heidelberg |publisher=Springer Berlin Heidelberg |doi=10.1007/978-3-642-56927-2_6 |isbn=978-3-540-67921-9}}</ref>.

Set up:

* Let the data be denoted by <math>x_i \in \R^D</math>, and their corresponding labels by <math>y_i \in \{1, 2, \dots, C\}</math>.

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#* If <math>w_k</math> and <math>x_i</math> have different classes, and <math>w_j</math> and <math>x_i</math> have different classes, then the original paper simply does not explain what happens in this case, but presumably nothing happens in this case.

# Otherwise, skip.

Note that condition <math>\min \left(\frac{d_j}{d_k}, \frac{d_k}{d_j}\right)>s </math>, where <math>s=\frac{1-w}{1+w}</math>, precisely means that the point <math>x_i</math> falls between two [[Apollonian circles|Apollonian spheres]].

== References ==