Network Science

Will surprise you with the facts about how viruses spread, how any two random twitterers are linked and how the whole world is a small world :)

[The AI Report @the_ai_report]

Welcome to the #AI Report.

We are curating a newsletter that's research focused, and aims to equip you with actionable insights on the latest developments in #GenerativeAI and #ML.

Read the inaugural edition here: https://t.co/ZxKs2G1c2t

[Cliff Pickover @pickover]

Mathematics.

Shiver in ecstasy. An exact formula for determining the n-th prime number. https://t.co/WAcJ3sMnBV

[Network Science @networkscience]

@stevenstrogatz This looks like progress in Science: nothing, nothing, nothing, and then everything clicks!

[Johan Ugander @jugander]

I'm teaching "Networks" at Stanford again this quarter, my 7th run of the course with 100+ students, following the excellent Easley & Kleinberg textbook (and mega-class at Cornell!). Always a thrill. If you teach a related class, here's an awesome lecture trick… 🧵 1/

[Network Science @networkscience]

The networks that help us sometimes gets us in trouble!
We got firsthand experience of this with air travel during this pandemic. But it's nothing new: the vast road networks that the Romans constructed also helped spread Plague along those networks.

[Milan Janosov @milan_janosov]

Fav networks of 2021, 3/7

A network of NFTs on @SuperRare - each node representing one #NFT while two are linked based on their number of shared owners. A project with @barabasi that also appeared in the @nytimes

#networkscience #datascience #datavisualization #nft #cryptoart

[Network Science @networkscience]

Image from [1]. Obama is the left most blue cross, and I am somewhere in between (but let's push me to the left?)
[1] Aparicio, Sofía, Javier Villazón-Terrazas, and Gonzalo Álvarez. "A model for scale-free networks: application to twitter." Entropy 17.8 (2015): 5848-5867.

[Network Science @networkscience]

If it is already not clear, Twitter is a scale-free network where the number of followers that the users have, follows a power law distribution. That's why @BarackObama (who follows me!) has 100k times more followers than me. This can never happen with Gaussian distributions.

[Steven Strogatz @stevenstrogatz]

A very nice, gentle explanation of “envelopes” and their connection to string art (and partial derivatives).

[Network Science @networkscience]

"A 2007 study by @jure and Eric Horvitz examined a data set of instant messages composed of 30 billion conversations among 240 million people. They found the average path length among Microsoft Messenger users to be 6"

What a small, but fascinating world we live in!

[Network Science @networkscience]

We live in a small world, where pretty much everyone is separated by six degress of separation.

See the thread for an experiment by Prof. Duncan Watts who recreated Milgrams experiment.

[Network Science @networkscience]

If you don't know about Milgrams Six degrees of Separation experiment, check out http://bit.ly/6degrees and http://bit.ly/vf0Zu

[Network Science @networkscience]

"Watts found that the average (though not maximum) number of intermediaries was around six."

[Simon Pampena @mathemaniac]

🤯 Topological Logic - a rod through one hole of a double torus can pass through both with some careful stretching of the surface. No tearing or pinching required. A fantastic video made by math professor Dave Richeson @divbyzero

[Network Science @networkscience]

Leskovec et al. found the diameter of networks shrink as they grow. So the 6 in 6 degrees of freedom will slowly decrease!

[Network Science @networkscience]

Birds of same feather flock together. Interesting paper that uses your friends' info to deduce info about you: http://bit.ly/aY6Xr7

[Network Science @networkscience]

When you boil an egg, it goes from liquid to solid abruptly. Percolation theory was developed to explain that, now also used for epidemics!

[Network Science @networkscience]

SIR model is one of the oldest to model epidemics. One can be (S)usceptible, (I)mmune or (R)emovd. Disease becomes epidemic abv a threshold.

[Network Science @networkscience]

If you don't know about Milgrams Six degrees of Separation experiment, check out http://bit.ly/6degrees and http://bit.ly/vf0Zu

[Network Science @networkscience]

@TEDJohnMark To quote an example from wikipedia, an earthquake twice as large is four times as rare.