K-Means vs. Minimum-Variance Quantization

czechman45
Messages
12
Reaction score
0
Hi,

I have a situation where I have a set of n data points and want to specify k values that best approximate the values in the set. (it's an image-color reduction problem)

MATLAB has a magic algorithm using something called minimum-variance quantization that will do this (although I can't find a description of how this actually works). I've also stumbled upon something called k-means clustering. What is the difference between these two or are they the same? Where might I be able to learn about these? I found some information describing k-means clustering, but I couldn't find anything on minimum-variance quantization.

Thank you!
 
Mathematics news on Phys.org
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Thread 'Imaginary Pythagorus'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...

Similar threads

Replies
1
Views
982
Replies
5
Views
2K
Replies
12
Views
3K
Replies
2
Views
2K
Replies
70
Views
7K
Replies
14
Views
2K
Replies
5
Views
2K
Back
Top