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 :)
'Small' World
Joined February 2009
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Network Science retweeted
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: bit.ly/3M8YJnA
Network Science retweeted
Mathematics.
Shiver in ecstasy. An exact formula for determining the n-th prime number. bit.ly/3HY9zfn
Network Science retweeted
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/
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.
Network Science retweeted
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
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.
Network Science retweeted
A very nice, gentle explanation of “envelopes” and their connection to string art (and partial derivatives).
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.
"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 retweeted
🤯 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
Leskovec et al. found the diameter of networks shrink as they grow. So the 6 in 6 degrees of freedom will slowly decrease!
Birds of same feather flock together. Interesting paper that uses your friends' info to deduce info about you: http://bit.ly/aY6Xr7
When you boil an egg, it goes from liquid to solid abruptly. Percolation theory was developed to explain that, now also used for epidemics!
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.
If you don't know about Milgrams Six degrees of Separation experiment, check out http://bit.ly/6degrees and http://bit.ly/vf0Zu