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Experimenting with Personalized PageRank [2021-10-02]

The last few days I've felt like my first attempt at a ranking algorithm for the search engine was pretty good, like it was producing some pretty interesting results. It felt close to what I wanted to accomplish.

The first ranking algorithm was a simple link-counting algorithm that did some weighting to promote pages that look in a certain fashion. It did seem to keep the page quality up, but also seemed to as a strange side-effect promote very "1996"-looking websites. This isn't quite what I wanted to accomplish, I wanted to promote new sites as well as long as they were rich in content.

This morning I was reading through the original paper on PageRank, an algorithm I had mostly discounted as I thought it would be too prone to manipulation, mostly based on Google's poor performance. I had done some trials earlier and the results weren't particularly impressive. Junk seemed to float to the top and what I wanted at the top was in the middle somewhere.

Then I noticed toward the end the authors mention something called "Personalized PageRank"; a modification of the algorithm that skews the results toward a certain subset of the graph.

The authors claim

These types of personalized PageRanks are virtually immune to manipulation by commercial interests. For a page to get a high PageRank, it must convince an important page, or a large number of non-important pages to link to it.

Huh. My interest was piqued.

The base algorithm models a visitor randomly clicking links and bases the ranking of the distribution of where the visitor is most likely to end up.

The modification of the algorithm in simplicity introduces a set of pages that a hypothetical visitor spontanenously goes back to when they get bored with the current domain. The base algorithm instead has the visitor leaving to a random page. In the base algorithm this helps escape from loops, but in the modified algorithm it also introduces a bias nodes pages adjacent to that set.

I implemented the algorithm. PageRank is a very simple algorithm so this wasn't more than a few hours. I used my own memex.marginalia.nu as the set of pages the bored visitor goes to, as it has a lot of links to pages I like. The algorithm ran for a few seconds and then converged into something beautiful: A list of small personal websites.

No, wait. This doesn't cut it.

Jesus. H. Christ. On. An. Actual. Penny. Farthing. What. I. Don't. Even. HUH?!

The top 1000 results were almost ALL personal websites, like of the sort that was actually interesting! It's... it's the small web! It's the living breathing blogosphere! It's *everything* I wanted to make available and discoverable! I did some testing on a smaller index, and it actually kinda worked. I pushed it into production, and it works. It's amazing!

What's great is that even though I didn't plan for this, my search index design allows me to actually roll with *both* algorithms at the same time; I can even mix the results. So I put a drop down where you can choose which ranking algorithm you want. I could probably add in a third algorithm as well!

It's very exciting. There is probably more stuff I can tweak but it seems to produce very good results.

Read More

The Page Rank Citation Algorithm: Bringing Order To The Web

Appendix - A Lot Of Domains

This is going to be a lot of domains, a top-25 ranking based on which domain the PageRank biases towards. I'm not hyperlinking them, but sample a few with copy&paste. They are mostly pretty interesting.

memex.marginalia.nu

The current seed

search.marginalia.nu

twtxt.xyz

wiki.xxiivv.com

www.loper-os.org

lee-phillips.org

memex.marginalia.nu

www.lord-enki.net

jim.rees.org

www.ranprieur.com

ranprieur.com

john-edwin-tobey.org

tilde.town

www.ii.com

equinox.eulerroom.com

cyborgtrees.com

lobste.rs

www.teddydd.me

collapseos.org

0xff.nu

antoine.studio

parkimminent.com

jitterbug.cc

www.awalvie.me

www.lambdacreate.com

desert.glass

mineralexistence.com

milofultz.com

ameyama.com

nchrs.xyz

ftrv.se

www.wileywiggins.com

www.leonrische.me

forum.camendesign.com

nilfm.cc

terra.finzdani.net

kokorobot.ca

www.tinybrain.fans

void.cc

akkartik.name

100r.co

sentiers.media

llllllll.co

www.paritybit.ca

sr.ht

eli.li

usesthis.com

marktarver.com

mvdstandard.net

blmayer.dev

dulap.xyz

stpeter.im

Let's try someone who is more into the humanities.

monadnock.net

coccinella.im

www.coccinella.im

kingsmountain.com

metajack.im

anglosphere.com

www.kingsmountain.com

test.ralphm.net

ralphm.net

badd10de.dev

xmpp.org

memex.marginalia.nu

copyfree.org

etwof.com

chrismatthewsciabarra.com

www.chrismatthewsciabarra.com

www.igniterealtime.org

www.xmcl.org

www.jxplorer.org

search.marginalia.nu

www.bitlbee.org

perfidy.org

www.gracion.com

stpeter.im

www.ircap.es

www.ircap.net

www.ircap.com

dismail.de

wiki.mcabber.com

www.knowtraffic.com

www.rage.net

fsci.in

trypticon.org

www.riseofthewest.net

www.riseofthewest.com

fsci.org.in

www.planethofmann.com

www.badpopcorn.com

muquit.com

www.muquit.com

git.disroot.org

www.hackint.org

www.skills-1st.co.uk

glyph.twistedmatrix.com

www.thenewoil.xyz

leechcraft.org

anarchobook.club

ripple.ryanfugger.com

swisslinux.org

mikaela.info

lobste.rs

These results are pretty similar to the MEMEX bunch, but with a bigger slant toward the technical I feel. Most of these people have a github link on their page.

siskam.link

brandonanzaldi.com

neros.dev

matthil.de

www.gibney.org

www.possiblerust.com

kevinmahoney.co.uk

werat.dev

coq.io

64k.space

tomasino.org

axelsvensson.com

call-with-current-continuation.org

secretchronicles.org

adripofjavascript.com

alexwennerberg.com

nogweii.net

evaryont.me

reykfloeter.com

www.chrisdeluca.me

hauleth.dev

mkws.sh

danilafe.com

knezevic.ch

mort.coffee

writepermission.com

danso.ca

chown.me

syuneci.am

feed.junglecoder.com

magit.vc

antranigv.am

nathan.run

barnacl.es

soap.coffee

www.craigstuntz.com

pzel.name

eloydegen.com

robertodip.com

vincentp.me

vfoley.xyz

www.uraimo.com

creativegood.com

stratus3d.com

shitpost.plover.com

forums.foundationdb.org

hristos.co

hristos.lol

julienblanchard.com

euandre.org

www.xfree86.org

Next up is an older site, and the results seem to reflect the change in seed quite well. Not all of them are old, but the *feel* is definitely not the same as the previous ones.

x-tt.osdn.jp

www.tjansen.de

www.blueeyedos.com

asic-linux.com.mx

checkinstall.izto.org

hobbes.nmsu.edu

www.stevengould.org

greenfly.org

www.parts-unknown.com

www.afterstep.org

lagarcavilla.org

brltty.app

aput.net

openmap-java.org

www.splode.com

links.twibright.com

www.dolbeau.name

www.dbsoft.org

dbsoft.org

www.sanpei.org

www.dubbele.com

www.sgtwilko.f9.co.uk

www.anti-particle.com

www.climatemodeling.org

www.sealiesoftware.com

sealiesoftware.com

openbsdsupport.org

www.momonga-linux.org

www.varlena.com

www.semislug.mi.org

www.dcc-jpl.com

www.tfug.org

www.usermode.org

www.mewburn.net

www.herdsoft.com

xfree86.org

www.xfree86.org

www.tinmith.net

tfug.org

james.hamsterrepublic.com

www.dummzeuch.de

arcgraph.de

www.fluxbox.org

www.treblig.org

josephpetitti.com

www.lugo.de

fluxbox.org

petitti.org

shawnhargreaves.com

ml.42.org

xroads.virginia.edu

Old academic website related to American history.

www.sherwoodforest.org

www.expo98.msu.edu

www.trevanian.com

www.lachaisefoundation.org

www.toysrbob.com

darianworden.com

twain.lib.virginia.edu

dubsarhouse.com

www.carterfamilyfold.org

essays.quotidiana.org

va400.org

webpage.pace.edu

www.wyomingtalesandtrails.com

wyomingtalesandtrails.com

bbll.com

graybrechin.net

genealogy.ztlcox.com

www.bbll.com

www.graybrechin.net

www.thomasgenweb.com

thomasgenweb.com

www.granburydepot.org

www.northbankfred.com

www.melville.org

www.stratalum.org

mtmen.org

www.mtmen.org

onter.net

www.tommymarkham.com

www.robert-e-howard.org

www.straw.com

www.foucault.de

www.antonart.com

www.footguard.org

www.taiwanfirstnations.org

jmisc.net

www.jmisc.net

www.thegospelarmy.com

jimlong.com

pixbygeorge.info

www.boskydellnatives.com

www.imagesjournal.com

www.onter.net

silentsaregolden.com

imagesjournal.com

www.frozentrail.org

www.pocahontas.morenus.org

vinnieream.com

www.historyinreview.org

www.sandg-anime-reviews.net

www.subgenius.com

www.quiveringbrain.com

revbeergoggles.com

www.seesharppress.com

www.vishalpatel.com

www.revbeergoggles.com

seesharppress.com

www.digital-church.com

lycanon.org

www.lycanon.org

all-electric.com

www.wd8das.net

fictionliberationfront.net

www.fictionliberationfront.net

www.radicalartistfoundation.de

cca.org

cyberpsychos.netonecom.net

www.stylexohio.com

StylexOhio.com

www.theleader.org

theleader.org

www.annexed.net

principiadiscordia.com

www.evil.com

www.the-philosophers-stone.com

the-philosophers-stone.com

www.hackersdictionary.com

kernsholler.net

www.kernsholler.net

www.booze-bibbing-order-of-bacchus.com

www.westley.org

www.bigmeathammer.com

www.littlefyodor.com

www.isotopecomics.com

sacred-texts.com

www.tarsierjungle.net

www.monkeyfilter.com

www.slackware.com

www.nick-andrew.net

www.eidos.org

www.templeofdin.co.uk

saintstupid.com

www.saintstupid.com

www.rapidpacket.com

www.mishkan.com

www.consortiumofgenius.com

www.xenu-directory.net

www.cuke-annex.com

www.nihilists.net

nihilists.net

madmartian.com

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