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Math is just tautologies and I still haven’t made my mind up on whether that’s based or cringe
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today's fun math fact
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there are cathedrals everywhere for those with eyes to see
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What an intro
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If you’re so smart, why haven’t you found someone who deeply loves you and then dedicated your life to making them happy
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math is literally a ploy to keep vaguely smart, but mostly insane people off the streets and occupied
There are too many fucked up mathematicians
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Replying to @mattparlmer
i mean when done “correctly” python is just a mini DSL for hand written low level kernels but “done correctly” is doing a lot of work here
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looks familiar !
Pure math Q relevant for LLMs: Unrelated tokens (like "dog" and "sun") should roughly correspond to orthogonal vectors in embedding space. So, In ℝ^k, what’s the max no. of pairwise orthogonal vectors? what about if they're only "nearly" orthogonal, so ∣vi⋅vj∣<ε, ∀ i≠j?
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I can’t ever get over how intensely surreal these look
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someone on the street just came up to me and asked: “hi, are you friendly?” and like wtf does someone respond to this
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web3 is a bad word can we stop using it thanks
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what if satoshi is among us, happily shitposting away
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Replying to @generativist
there is so much deep theory in that asymmetry that it makes me mad every time I think about it
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Insane that our phones are just so powerful that I can run a perfectly responsive Jupyter notebook and integrate random shit while on the beach
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(for the nerds out there: make this rigorous :)
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Replying to @macrocephalopod
modern personal computers are simply not fast enough to run python — microsoft, probably
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"game theory" is insane because it appears to be one of the most legitimately dangerous fields w/ the potential to gigafry your brain but is exclusively taken by literal turbonormies who unironically want to like "find a good strategy for play" and basically get oneshotted by it
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I remember first seeing this as a short presentation someone gave in a summer camp and I stg I lost my shit for days
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Imagine learning about synthetic assets and your first reaction not being “Wow wait this is absolutely sick, how does it work?” But instead the reaction being to write a poorly-thought-out article about how “it’s all fake stonks”
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It only took 7 years and TAing the class a few times but I finally bought it
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Replying to @BecomingCritter
atan(x) ~ 90 deg when x is very large
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Today, I am pleased to announce that @ks_kulk , @alexhevans, @tarunchitra, and I are going to start an MEV prop shop. From now on we will remove all of our public papers and stop all future paper writing. We look forward to sandwiching your trades using convex optimization!
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if you know a little bit of math and would like to understand the basics of MPC protocols well have I got a video (or two) for you introducing the first of the BCC whiteboard sessions ! (w/ the legendary @cryptodavidw)
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in God we trust; all others must bring zk proofs
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so, uh have we been building blockchains wrong, given what we know today?
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have i got the paper for you
Someone needs to create a page that shows how every polynomial concept in zk can be written using matrices, and vice versa
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Replying to @AlokVasudev
> spotted the physicist
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In which @tarunchitra, @AnnaRRose, @bfarmer and I proceed to drink and talk about math for an hour and a half zeroknowledge.fm/228a/
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Replying to @AlexGodofsky
what's incredibly entertaining is that I'm sure they really tried to keep it out of the training data and yet there's clearly enough context elsewhere to impute what's going on here which is fascinating
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anon, what if I told you that you can prove the correctness of the largest celestia block in <200ms on a single core of an mba
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👀👀👀
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New paper with @theo_diamandis, @tarunchitra, @ks_kulk, and @alexhevans on the geometry of constant function market makers is (finally) out! It’s even got pretty pictures and everything! Check it out at: angeris.github.io/papers/cfm…
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that'll be *Dr.* Diamandis now (congrats on the great defense @theo_diamandis !!!!)
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Replying to @SwiftOnSecurity
rachel broshanan plays aella was not on my bingo card for tweets this year
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Replying to @bencbartlett
(the largest finite number you can fit in a tweet) + 1
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looks like Lean is popular today, so here's a little post on how/why it works and implementing a mini version of it in Julia
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It is nothing less than an honor to be welcoming Kobi, Wei Jie, Andrija, Grjte, and Nico to the team at BCC, who bring an incredible depth in cryptography, zero knowledge, and software engineering to the firm! baincapitalcrypto.com/expand…
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Honestly, what a time it's been! Happy to announce the new fund we've been working on for a hot bit :)
Welcome to Bain Capital Crypto – backing renegades and pioneers building the next generation of open internet infrastructure. We’re excited to share what we’ve been building. baincapitalcrypto.com/
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Replying to @powerbottomdad1
ok this pic actually goes so hard tho
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"why do you like math so much?" because it's literally a crappy video game you can play in your head, all the time and nobody can stop you
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today we have an effortpost about AI and automated theorem proving (and some cool projects!)
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Well, here's our first (official) forage into the Unknown™ Lands™ of ZK™ ! (Work done with @alexhevans) angeris.github.io/papers/zk-…
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Releasing our newest paper on blockchain resource pricing! Work done with @theo_diamandis and @ciamac PDF here: angeris.github.io/papers/oco…
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gradually, then suddenly
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also, if anyone is bored and needs something to do: the homework for the 1st "Succinct Proofs and Linear Algebra" lecture is out and it would be great if anyone wants to pull request solutions to it! (this is an attempt at teaching a fully-open course) angeris.github.io/other/spla…
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thank you, from the bottom of my heart, to the three people that always like my posts <3
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Replying to @angeris @hdevalence
also cool microscopic electron accelerator
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Replying to @pli_cachete
many problems are fixed by this
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After all this time, I’m ashamed to admit I don’t know what web3 is
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I woke up cackling like an idiot this morning
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We have ELI5 and ELI10 but what is the equivalent of "explain-it-like-I-know-a-lot-of-math-but-I-still-have-no-idea-what-any-of-this-is-talking-about"
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Thanks to @BalancerLabs for their research grant! I am really looking forward to working this summer on (hopefully!) improving smart order routing for Balancer v2. :)
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Aight I was told by @tarunchitra that, since we had kind of a crazy year, I had to do a quick tweet thread about our ~ paper a month cadence with @alexhevans 1 tweet/paper let’s go
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a reminder: you can just git gud at whatever you want you really don't need anyone's permission
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type of guy who will literally publish nearly 1500 papers with 500 coauthors after a bitter dispute, instead of going to therapy
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[nobody liked this]
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I still have an irrational fear of saving files with spaces in their names after being burned so many times in my past
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theo (@theo_diamandis) presenting our latest paper on the optimality of multidimensional fees at homework club !
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Here I am, the zk peasant drinking coffee out of my zk mug begging the zk gods to make my proofs work
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yeah ok fair enough
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machine learning people will be like noooo look im a rotator i used math the math in quesiton: y = Ax + b
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a weird set of takes on this paper w/ @alexhevans
The Accidental Computer with @angeris on prover acceleration via DA encodings In short, proofs-of-encoding (such as ZODA) perform much of the work of a code-based PCS, making it cheap to “embed” verifiable computations over data posted to a DA layer
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now also up on eprint for your viewing pleasure eprint.iacr.org/2023/1478
Well, here's our first (official) forage into the Unknown™ Lands™ of ZK™ ! (Work done with @alexhevans) angeris.github.io/papers/zk-…
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the paper is also now up on arXiv for all of your archiving needs ! arxiv.org/abs/2310.07865
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you really can just make shit up and put it on arxiv nobody's stopping you
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katie runs up excitedly telling me “I made something for you!” and hands me this
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Replying to @netcapgirl
algorithms are for nerds I just get a bigger computer
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ok if I wanted to commission someone for a digital art piece as my background how would I go about doing that? Does anyone have (digital) artist friends they’re willing to rec?
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🤔🤔🤔
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why have alts when you can shitpost on main
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literally why is a chat app almost 500MB
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a shocking amount of problems could be solved by just hosting people over for a lovely evening and cooking them dinner every once in a while
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Replying to @fluxtheorist
it’s so good
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this is so wild to me having a leaderboard is like an instant shut-off valve for my brain literally just "nopes" out, doesn't even process
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so, fun fact, turns out you can fit exponentially many (normalized) vectors in a list such that the pairwise inner product of any two distinct vectors is ≤ eps
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not gonna lie coding cryptography research in julia is infinitely more fun than in rust and it's not even close
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Apparently I am now officially a PhD Candidate™
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I hated math until all of a sudden math had no numbers in it (certified wordcel)
everyone loves math until all the sudden math classes no longer have numbers in them
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Replying to @generativist
mostly mad honestly
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unfortunately The World's Greatest Heuristic strikes again :(
Replying to @tautologer
It’s written in word I give it an L
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just a little note on linear algebra over field extensions (of course, with applications to encoding and succinct proofs)
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ok time to put my thesis together (i.e., staple five papers and search-and-replace "paper" with "chapter")
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did cultures ever have a disdain for papers as “offloading thought”? For example, did oral cultures (ancient Greeks, e.g.) ever criticize paper-as-memory as making people lazy, e.g., and are there documented versions of this?
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excited to release this Julia (!?) succinct proof/math library which was a bit of a labour of love some Thoughts™ below
1/9 Happy to open-source joint work with @angeris— CryptoUtilities.jl, a set of Julia packages that brings fast and easy support for binary extension fields, Merkle trees, Reed-Solomon codes over binary extensions, and many more.
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Replying to @CanYouPetTheDog
this game is so incredibly aesthetic
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it's funny, for a long time, i assumed that computation was this very sacred, brittle, difficult thing: so many things need to work "exactly" right but i’ve realized that it’s actually much *harder* to make a thing that doesn't accidentally enable ~ arbitrary compute!
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Just a silly reminder that this paper is kinda fun (and is now on arXiv!) Essentially, it shows just how much you can do without using oracles: any (capped) monotonic payoff can be replicated without the use of an oracle! arxiv.org/abs/2111.13740
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linear algebra: 🙂 linear algebra in finite fields:
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anyways sf is beautiful right now
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ok i give up i have no idea what makes the algorithm happy
looks familiar !
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Replying to @joodalooped
really is something to base models imo
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this thing has been possibly one of the biggest nerd snipes we’ve had in a while
ZODA Joint work with @nico_mnbl and @angeris (with help from @NashQueue, @sanaz2016, and @jadler0) A minor tweak to the encoding procedure makes data squares like @CelestiaOrg’s provably correct, opening a path to both higher data throughput and lower-latency light nodes
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I love crypto bc a relatively formal presentation has some complicated data and a reference at the bottom will be some dune dashboard from "thiccythot"
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Katie just made this "website" and honestly it's incredible
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Replying to @pli_cachete
gf laughed which is good enough for me
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how are the vibes of this ui @usgraphics
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