#math - Sun 1 Apr 2007 between 16:34 and 16:53

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tapasyou men the corresponding curves {x| g1(x) = 0} etc..
eigenburak(i'm trying to add constraints to a linear combination of vectors, and defining my constraints too conservatively, i'm afraid, will leave me with no solution)
yes, that is what i mean
tapasi think it depensd on the dimensionality of your space. in 20 dimensions, having two constraints might leave a 18 dimensional solution space iirc
eigenburakyeah, that's true
unfortunately my constraint is that i want the x for which i'm solving to have x1>x2>x3>...etc
tapashmm, this inequality stuff is interesting. *gets out pen and paper*
eigenburakyeah, the way it's used is actually very cool
i'm just annoyed because i can't take advantage with my constraints, argh
or, rather, my constraints shouldn't be my constraints
tapas:)
eigenburakfor the lagrangian L=f(x)+lambda*g(x), if you're solving for a minimum, you just say lambda has to be positive and make it so that g(x)<=0
no wait
yes
tapashmm
sexcopteri have an integral from notes that reads http://www.mathbin.net/9659 and am really not convinced how this result is got. is there a particular technique used? Any hints or pages i can read?
daYZmani got a simple questino about SVMs. why is w in w.x + b = 0 is perpendicular to the separating hyperplanes.
sexcopterhah, just having typed it, i think the penny dropped
tapasdaYZman: rephrase question
eigenburakyeah, sexcopter try defining max() has a piecewise in terms of x and a and see that penny in the bank
daYZman: it's perpendicular because you define it to be perpendicular
sexcoptereigenburak: i was trying to picture two distinct scenarios, one where a>x and other where a<x to get two different integrals, but of course x is a variable, so as you say there are two pieces to the one integral
eigenburakdaYZman: as in, you want it to be the vector that you use for comparison...is it class [-1, 1]
daYZman: so because the hyperplanes that give max margin seperation have to be parallel, the w that intersects them to give an appropriate metric is perpendicular to both
sexcopter: bingo. i have gone through the details but it seems that you're on the right track. can i borrow that penny? i think i need it for this lagrangian thing
haven't*
daYZmanumm
eigenburakdaYZman: imagine subtracting b from all of the data points and then using w to classify each point. in other words, imagine a situation where b=0. it might be easier to see
tapaseigenburak: what i said was bull. staring at my drawing showed my my error :)
eigenburaktapas: which thing?
the 20 vs 18 dimension thing?
RadSurferis anyone here familiar with the Linux version of Maxima ?
tapaseigenburak: about the justification for transforming every constraint into the form g < 0 and making it a minimizatin prob
eigenburak: it's more difficult than i thought :)
RadSurfer: a little bit
[very little]
RadSurferSome of the rpm's are expecting a specific user, and won't install for me. I wanted to learn more about it
daYZmaneigenburak, yep. but then, why use a plane that is perpendicular to the actual separating plane to classify?
tapassounds more like a distribution prob than a maxim thing really
RadSurferSo try to reach someone through the Sourceforge page for that project?

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