Clément Canonne · @ccanonne
1682 followers · 767 posts · Server mathstodon.xyz

Anyway, that's all for this week. I hope it was worth the wait, and that I convinced you there was so much more fun to have, even in something as simple and heavily taught and studied as sorting ...

Please write questions and comments below, and see you next week!

11/end

#weaeklyquiz #algorithms

Last updated 2 years ago

Clément Canonne · @ccanonne
1679 followers · 735 posts · Server mathstodon.xyz

📊 It's Friday here (and Thursday elsewhere for many: you know who you are!), time for a (bi)weₐᵉkly quiz!

Today, let's do something simple, just to get our affairs in order: sorting!

1/5

#weaeklyquiz

Last updated 2 years ago

Clément Canonne · @ccanonne
1672 followers · 717 posts · Server mathstodon.xyz

Alright, that's all for today! I want to apologize for not mentioning Herman Chernoff in Q1, I ran out of poll options space.

Hope you found this enjoyable! as usual, answers and discussion in a few days. Until then, please write comment and questions below!

9/end

#weaeklyquiz

Last updated 2 years ago

Clément Canonne · @ccanonne
1673 followers · 707 posts · Server mathstodon.xyz

📊It's a bit late, but time for our (bi)weekly quiz! Today, a thing I probably* talked about before, but will almost certainly* come very handy at some point, even if it does look a bit random*.

"Low-space Chebyshev!" 🎲 Or: randomness, but cheap.

* Bad puns, everywhere.

1/9

#weaeklyquiz

Last updated 2 years ago

Clément Canonne · @ccanonne
1652 followers · 697 posts · Server mathstodon.xyz

That's all for the week. I hope you enjoyed this — and see you next week for another 📊 biweₑakly quiz on various aspects of theoretical !

In the meantime, if you have any questions of comment, please reply below ↴

14/end

#weaeklyquiz #computerscience

Last updated 2 years ago

Clément Canonne · @ccanonne
1652 followers · 684 posts · Server mathstodon.xyz

Answers and discussion for last week's 📊biweₑakly quiz.

(For the quiz itself: mathstodon.xyz/@ccanonne/10984)

Only two questions — let's dive in, first with computing Fibonacci-type numbers!

How hard is it? I give you two initial values, and ask you to give me the n-th value of the sequence. Naively, implementing the recursion the "natural" way will give an exponential-time (in n) algo.

1/

#weaeklyquiz

Last updated 2 years ago

Clément Canonne · @ccanonne
1642 followers · 670 posts · Server mathstodon.xyz

This week's 📊biweₑakly quiz will be very short, more of a hook than a quiz. A 2-parter, on two different things!

First one: Fibonacci. Recall that the Fibonacci numbers are defined recursively by F₀=F₁=1, and 𝐹ₙ₊₂=𝐹ₙ₊₁+𝐹ₙ
for n≥0.

Now, you can generalize that a little by changing the initial conditions...

1/

#weaeklyquiz

Last updated 2 years ago

Clément Canonne · @ccanonne
1620 followers · 656 posts · Server mathstodon.xyz

That's all for today! If you have any questions, or comments, or feedback, please reply below.

I hope you found this interesting! Remember: we barely scratched the surface, there are connections to many wonderful topics, and the Multiplicative Weights Algorithm (MWU) algorithm is the GOAT. 🐐

See you next week!

19/end

#weaeklyquiz

Last updated 2 years ago

Clément Canonne · @ccanonne
1609 followers · 627 posts · Server mathstodon.xyz

Alright, that's all for today! Hope you enjoyed this . As usual, answers and discussions in ≈3 days.

In the meantime, feel free to comment or ask questions below!

11/end

#weaeklyquiz

Last updated 2 years ago

Clément Canonne · @ccanonne
1609 followers · 617 posts · Server mathstodon.xyz

📊 It's Thurs-Fri-day [citation needed], time for a (bi)weekly ! It's been a while, so let's take it slowly... lest we make mistakes. Perfect segue: today, Online Mistake Bounds!

What?

Well, you want to learn a classifier, here a function f: {0,1}ⁿ→{0,1}...

1/

#weaeklyquiz #learning #quiz

Last updated 2 years ago

Clément Canonne · @ccanonne
1472 followers · 445 posts · Server mathstodon.xyz

I have been making online in and for more than 3 years now: first on Twitter weekly, now fortnightly both there and here on Mastodon. If you're interested, they're all listed here:
ccanonne.github.io/weeklyquiz.

#maths #theoreticalComputerScience #weaeklyquiz

Last updated 2 years ago

Clément Canonne · @ccanonne
1445 followers · 414 posts · Server mathstodon.xyz

Answers and discussion for last week's 📊quiz on proper (PAC) learning. Upshot: sometimes is easy... but not if you want to do it properly.

I'll assume you've read the original 🧵 which recalls the def of the PAC (Probably Approximately Learning) framework. If not: it's above! mathstodon.xyz/@ccanonne/10956

1/13

#weaeklyquiz #learning

Last updated 2 years ago