Aryeh Kontorovich @aryehazan Twitter profile

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Aryeh Kontorovich

@aryehazan

4 years

@lreyzin I replace exact expressions by approximations that either never exceed or never deceed the original.

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Aryeh Kontorovich

@aryehazan

5 months

classic entry in the "math prof or hobo" series

Physics In History

@PhysInHistory

5 months

Grigori Perelman, mathematician who proved the Poincaré Conjecture and who refused to accept a Fields Medal and the $1,000,000 Clay Prize, spotted at a traffic signal.

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Aryeh Kontorovich

@aryehazan

1 year

I had this hanging on my office door for a couple of years. A nice illustration of how limits do/don't work.

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Aryeh Kontorovich

@aryehazan

11 months

I feel silly tweeting this, but it's so damn useful, esp if you hadn't seen it: max(x,y) + min(x,y) = x+y max(x,y) - min(x,y) = |x-y| hence: 2max(x,y) = x+y+|x-y| and 2min(x,y) = x+y-|x-y| This holds for all real numbers x,y.

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Aryeh Kontorovich

@aryehazan

1 month

Lebanon used to be majority Christian; any guess as to why it's not any longer? with all the atrocities committed against the Christinas in the Muslim world, Tucker chose the one ME state where they're free from persecution I can't believe I used to respect this man

Tucker Carlson

@TuckerCarlson

1 month

Ep. 91 How does the government of Israel treat Christians? In the West, Christian leaders don’t seem interested in knowing the answer. They should be. Here’s the view of a pastor from Bethlehem.

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Aryeh Kontorovich

@aryehazan

30 days

Jews without a state: rootless cosmopolitans Jews with a state: settler colonialists

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Aryeh Kontorovich

@aryehazan

2 months

good one to stump students just learning about induction (h/t @JDHamkins )

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Aryeh Kontorovich

@aryehazan

6 months

Math and science are cumulative. We keep discovering new stuff, and almost never entirely forget the old. Social policy is cyclical. We forget old, millennia-tested wisdom, let thgs get really bad, and then grope in the dark to eventually rediscovr what was already knwn eons ago

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Aryeh Kontorovich

@aryehazan

6 months

I used to be a libertarian but now am not. I still very much like freedom. What’s changed? I’ve gained the following insight: Individual freedom within a group is contingent upon careful vetting of new members.

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Aryeh Kontorovich

@aryehazan

1 month

🄽🄾🄽-🄼🄰🅃🄷 🄿🄴🄾🄿🄻🄴 🄾🄽🄻🅈 where's the mistake in this argument?

Vince Vatter

@VinceVatter

2 months

big, if true

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Aryeh Kontorovich

@aryehazan

7 months

There comes a time when a man must pick up arms to defend his country. Math will have to wait.

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Aryeh Kontorovich

@aryehazan

2 months

one of the tell-tale signs of a failed state is failure to protect private property liberty and life are always next

I Meme Therefore I Am 🇺🇸

@ImMeme0

2 months

🚨BREAKING: A woman gets arrested for removing squatters out of her $1,000,000 house in Queens, NY. Adel Andaloro inherited her family's home in Flushing, Queens after her parents passed away and was in the process of selling it when she noticed that someone illegally moved in.…

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Aryeh Kontorovich

@aryehazan

8 months

lol

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Aryeh Kontorovich

@aryehazan

7 months

Dear friends, My immediate family is ok. Beyond that—very much not ok. May we overcome the enemy soon.

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Aryeh Kontorovich

@aryehazan

2 months

oh, and this is what a high-dimensional *convex* set looks like you read that right, CONVEX

Mario Figueiredo

@mariotelfig

2 months

My favorite illustration of how geometric intuition fails miserably in high dimensions.

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Aryeh Kontorovich

@aryehazan

6 months

this is the king of Jordan

Kyla Jenée Lacey

@Kyla_Lacey

6 months

It’s wild watching Zionists with blue eyes and blonde hair talk about how a country in the Middle East is their rightful homeland.

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Aryeh Kontorovich

@aryehazan

7 months

it took the wokeness movement about 4 years to go from "respect my pronouns" to "exterminate the Jews"

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Aryeh Kontorovich

@aryehazan

8 months

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Aryeh Kontorovich

@aryehazan

8 months

I've always said that in Linear Algebra, there are no surprises: whatever you think ought to be true usually is. So: who's going to show me up by pulling out some Surprising Facts about linear algebra?

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Aryeh Kontorovich

@aryehazan

5 months

as a show of power, she should give a plagiarized victory speech

The Harvard Crimson

@thecrimson

5 months

#BREAKINGNEWS : University President Claudine Gay will remain in office with the support of the Harvard Corporation — the University’s highest governing body — according to a source familiar with the decision. @mherszenhorn & @claireyuan33 report.

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Aryeh Kontorovich

@aryehazan

11 days

@pli_cachete go at 1am it's surreal

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Aryeh Kontorovich

@aryehazan

6 months

To my fellow Jews in the academia. I told you so. Not about Hamas (though that too). But rather, about our far left colleagues. Yes, they actually, literally want us dead. Sometimes it's no fun being right. So now what? Let's come together and think.

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Aryeh Kontorovich

@aryehazan

2 months

I can attest firsthand to that special contempt that those who’ve actually lived under communism reserve for western intellectuals.

Rob Henderson

@robkhenderson

2 months

"When we read the writings of Soviet dissidents and exiles, we are struck by one recurrent theme: their amazement,indignation and anger in the face of the stupidity,ignorance and indifference of Western opinion and especially of the Western intelligentsia"

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Aryeh Kontorovich

@aryehazan

2 months

“I want to dismantle all ethnostates. Let’s start with the Jewish one.”

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Aryeh Kontorovich

@aryehazan

7 months

arright fellas you got 5 min for office hours

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Aryeh Kontorovich

@aryehazan

1 year

@DialecticBio This first-principled reasoning is flawed. The brain is an energetically expensive organ. Large cranium size causes complications in birth. So higher intelligence is not an unalloyed advantage: there are trade offs. One can imagine environs where it’s more advantageous or less.

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Aryeh Kontorovich

@aryehazan

2 months

your regular reminder that conditional probability pays mind tricks on you (links below)

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Aryeh Kontorovich

@aryehazan

5 months

Any Jewish researcher affiliated with Harvard who is interested in making aliyah, get in touch. I will personally help you navigate the Israeli academic market. Not limited to Harvard

Aryeh Kontorovich

@aryehazan

5 months

I’ve already told my children (years ago) none of them are doing undergrad in the US, incl ofc the ivies. I’ve never given money to a university. What else can I do? Boycott Harvard?

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Aryeh Kontorovich

@aryehazan

7 days

I don’t want a specific antisemitism bill just enforce current laws do so efficiently, effectively, uniformly, and fairly that is all

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Aryeh Kontorovich

@aryehazan

11 months

This gives a 1-line proof of the identity ∑|p(x)-q(x)| = 1-∑min{p(x),q(x)} for distributions p(x), q(x)

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Aryeh Kontorovich

@aryehazan

7 months

Russian joke that anticipated all of Seinfeld: Wife: “The Jones’s invited us over. Wanna go?” Him: “No, I hate the Jones’s” Her: “They hate us too. Imagine how glad they’ll be we didn’t come.” Him: “You’re right. We’re going.”

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Aryeh Kontorovich

@aryehazan

7 months

And there it is. Those announcements I've been dreading are starting to drip in. People from the university, students from my department.

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Aryeh Kontorovich

@aryehazan

1 year

I love these low-mid-high brow memes. So many of them are spot on. The general theme being that some insight is intuited by the hoi polloi, beaten out in college and grad school, and then reacquired by those who are no longer intimidated by credentials.

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Aryeh Kontorovich

@aryehazan

1 month

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Aryeh Kontorovich

@aryehazan

1 month

prediction: the more Israel wins, the better-liked we'll be worldwide especially by our Arab neighbors

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Aryeh Kontorovich

@aryehazan

1 month

If you scratch someone accusing Israel of war crimes hard enough, eventually you’ll discover that he doesn’t think Israel should exist in the first place.

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Aryeh Kontorovich

@aryehazan

1 year

from The Joy of Abstraction: An Exploration of Math, Category Theory, and Life New Edition by Eugenia Cheng, posting without comment

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Aryeh Kontorovich

@aryehazan

1 year

Not a psychologist, so this is 100% amateur bloviating. I suspect that some people attain some sort of frisson at saying obvious, blatant untruths and either forcing others to repeat them or watching them squirm and go out of their way to avoid getting near radioactive topics.

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Aryeh Kontorovich

@aryehazan

7 months

Well-meaning friends are asking me if I'm going to move my family to the US. No. It's Israel or bust.

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Aryeh Kontorovich

@aryehazan

2 years

Yitang Zhang's long-awaited paper is out. Can't claim to understand it, but will steal the idea of substituting [current year] for [large constant I'm not able to optimize].

Discrete mean estimates and the Landau-Siegel zero

Let $χ$ be a real primitive character to the modulus $D$. It is proved that $$ L(1,χ)\gg (\log D)^{-2022} $$ where the implied constant is absolute and effectively computable. In the...

arxiv.org

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Aryeh Kontorovich

@aryehazan

6 months

All college-age American Jews should consider getting a BA in Israel. You'll learn real skills minus the DEI struggle sessions, at a fraction of the cost. My university offers English programs as well. DMs open!

Dvir Aran

@dvir_a

6 months

Suffering from the growing antisemitism at your university? We invite you to pursue your research and studies at the @TechnionLive

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Aryeh Kontorovich

@aryehazan

2 years

Use the word “matrix” in a way that one can’t tell if it’s the movie or the linear operator.

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Aryeh Kontorovich

@aryehazan

9 months

It took me till my 6th kid to realize: when a toddler is peppering you with questions, chances are he doesn't actually have a burning need to know something. He just wants your attention and to spend time with you.

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Aryeh Kontorovich

@aryehazan

10 months

My Adult moment as a researcher arrived when I was stuck, wanted to ask someone, and realized that There. Is. No. One. To. Ask

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Aryeh Kontorovich

@aryehazan

5 months

When she says she wants Israel to "go away" she doesn't quite mean that, does she. She presumably wants to retain the clean water, sanitation, electricity we provide. The access to world-class medicine and proximity to world-class technology. This is the tragedy of Palestinian

Eli Kowaz - איליי קואז

@elikowaz

5 months

What does "Free Palestine" mean to a secular, well-educated woman in Ramallah? The destruction of Israel.

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Aryeh Kontorovich

@aryehazan

7 months

father and son, each giving what he can

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Aryeh Kontorovich

@aryehazan

9 months

The problem with democracy isn’t that idiots get to vote. It’s that people without long-term skin in the game do.

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Aryeh Kontorovich

@aryehazan

1 month

Paul Graham has blocked me for saying that part of Hamas's strategy is explicitly to maximize civilian casualties on its side and weaponize people like him in their defense. Where one's sympathies fall on the Israel-Palestine conflict is somewhat correlated with other political

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Aryeh Kontorovich

@aryehazan

1 year

@Steve_Sailer @kareem_carr Hey, a different statistician here. If I say it’s not pseudoscience do we cancel each other?

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Aryeh Kontorovich

@aryehazan

1 month

if I killed your family and then hid among my children, what would you do? being surrounded by one’s children does not grant a terrorist immunity if your justice meter is broken, try to think of the game-theoretic incentives

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Aryeh Kontorovich

@aryehazan

8 months

"the theory doesn’t go super deep" who wants to tell him

roon

@tszzl

8 months

machine learning is much easier to learn and usefully contribute to than many other fields of science. the theory doesn’t go super deep and understanding is mostly intuitive & empirical. moreover the intuitions change every few years so you’re not very far behind the top experts

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Aryeh Kontorovich

@aryehazan

1 year

-OK class, this semester we'll be decolonizing linear algebra. -Um, could we maybe learn some linear algebra first?

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Aryeh Kontorovich

@aryehazan

2 months

@ptrschmdtnlsn @JDHamkins the astute student should notice right away that the false proof also holds for the sum 1+2+3+4+...

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Aryeh Kontorovich

@aryehazan

8 months

In fact, as a challenge, name an empirically successful algorithm that arose from theory. All I got is boosting.

Aryeh Kontorovich

@aryehazan

8 months

@rogtron Theory is almost always playing catch-up to empirically successful algorithms. This was certainly the case with regression, Nearest Neighbor, SVM, random forest.

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Aryeh Kontorovich

@aryehazan

7 months

equipment upgrade

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Aryeh Kontorovich

@aryehazan

1 year

CMU, where I got my PhD in 2007, is now requiring all first-year PhD students to undergo mandatory CRT indoctrination. What would be a good way to oppose this? Stop giving them money? (You have to start first.) ideas welcome!

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Aryeh Kontorovich

@aryehazan

7 months

Defending my beloved city is the easy part. The hard part is visiting a murdered student’s family.

Aryeh Kontorovich

@aryehazan

7 months

equipment upgrade

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Aryeh Kontorovich

@aryehazan

7 months

some students recognize me and started asking cs questions. That’s for coffee break

Aryeh Kontorovich

@aryehazan

7 months

equipment upgrade

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Aryeh Kontorovich

@aryehazan

1 year

@PengzhouW The jaggedy curve *does* approach the perfect circle curve, pointwise. But curve lengths don't necessarily behave well under pointwise convergence.

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Aryeh Kontorovich

@aryehazan

5 months

@RufusTFireflyJr @wajacobson von Neumann was a famous dandy. He had plenty of brain space left for fine clothes, top-shelf liquor, and chasing women. Very few von Neumanns out there, tbf...

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Aryeh Kontorovich

@aryehazan

1 month

moral of story: addition over the reals is finitely, but not countably, associative

Aryeh Kontorovich

@aryehazan

1 month

🄽🄾🄽-🄼🄰🅃🄷 🄿🄴🄾🄿🄻🄴 🄾🄽🄻🅈 where's the mistake in this argument?

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Aryeh Kontorovich

@aryehazan

1 year

@JohnDSailer "We had to cancel your event due to threats of violence." "Violence by whom?" "Violence by us."

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Aryeh Kontorovich

@aryehazan

2 months

I was an intern at bell labs when this paper was in the final stages of being published I was privy to discussions on how to respond to referees (learned the word kurtosis) had no idea I was witnessing history being made

Gabriel Peyré

@gabrielpeyre

2 months

Lee and Seung algorithm is the most popular matrix factorization algorithm, which operates by multiplicative updates.

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Aryeh Kontorovich

@aryehazan

6 months

As usual, an interesting and informative post by @robkhenderson Here's a nugget of profound wisdom from there, due to Donald Kingsbury: “Tradition is a set of solutions for which we have forgotten the problems.”

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Aryeh Kontorovich

@aryehazan

10 days

I have a nephew that I solve math olympiad problems with (at a leisurely, non-olympic pace) sms from him "So, have you had a chance to make progress on that problem?.." he'll make a fine mathematician

Aryeh Kontorovich

@aryehazan

30 days

Some non-trivial portion of scientific progress proceeds by nudging your colleague with "So, any progress on that problem?.." Don't be shy about nudging. Oh and the nudgees? Take a minute to reply. Even if it's "Haven't had time" or "No longer interested". Both are good to know

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Aryeh Kontorovich

@aryehazan

2 years

Student: "Wow, this paper is definitely getting in!" Me: "Uh, let's work on making rejecting it maximally difficult."

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Aryeh Kontorovich

@aryehazan

5 months

@Indian_Bronson the debasement of voluntarily going on these Jerry-Springer-type shows already kinda dwarfs whatever additional debasement is revealed during the show

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Aryeh Kontorovich

@aryehazan

1 year

Referee: Was this paper written by GPT? Rebuttal: Was the review written by GPT?

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Aryeh Kontorovich

@aryehazan

11 months

1/Advice I reglrly give to my 𝐭𝐡𝐞𝐨𝐫𝐲 students: Code it up! I got tremendous insight into automat thry by taking the time, in 1st yr grad school, to code up the basic conversions: NFA->DFA->regexp. Not coincidentally, that was when I wrote my first 📝

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Aryeh Kontorovich

@aryehazan

7 months

This is not a religious, ethnic, or territorial conflict. This is civilization vs. barbarism, plain and simple.

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Aryeh Kontorovich

@aryehazan

7 months

People everywhere need to understand that Israel is the canary in the mine of the civilized world. Don't think for one second that Hamas, Hizbulla & co will stop at just the Jews. They're coming for all of you. They're saying as much, very clearly. Pressure your gov'ts to act.

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Aryeh Kontorovich

@aryehazan

4 months

The deep and amazing thing about complex numbers is that adjoining sqrt(-1) to the real field lets you solve *all* of the polynomial equations, not just the "original" x²=-1 you had set out to solve.

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Aryeh Kontorovich

@aryehazan

6 months

It's quite bemusing to see these political science types constantly talk about how smart they and those in their clique are. STEM people generally don't do that.

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Aryeh Kontorovich

@aryehazan

2 months

savvy Soviet citizens learned to glean bits of reliable information from the Pravda I nominate @Steve_Sailer as the savviest NYT reader

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Aryeh Kontorovich

@aryehazan

1 year

@srchvrs I think the easiest way to see it is that pointwise convergence of f says nothing about convergence of f'. Take f to be the area and f' to be the curve you're integrating. Of course, we can have infinite length enclosing finite area (e.g., Koch) which is even "worse" than π=4

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Aryeh Kontorovich

@aryehazan

11 months

I thought I'd understood it well, but Sokal's FA course was chalk-full of novel insights -- not to mention that his notes read like a suspense novel.

Yaashaa P. Golovanov

@Golovanov_ammoc

11 months

@aryehazan My favourite on functional analysis 1. Kolmogorov and Fomin 2. Georgi Shilov (elements of functional analysis) 3. Vitali milman 4. Linear functional analysis by Joan Cerda (the best along with Robinson in Linear fxn analysis) And following. Edwards & Shilov are my love.

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Aryeh Kontorovich

@aryehazan

5 months

better education than in the US at a fraction of the price I’m an Israeli professor DM if you want details

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Aryeh Kontorovich

@aryehazan

7 months

Very difficult to watch. But the world must know.

Marina Medvin 🇺🇸

@MarinaMedvin

7 months

Thread of videos showing Palestinian cruelties to Israeli civilians on Oct 7, 2023.

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Aryeh Kontorovich

@aryehazan

1 year

So this paper was rejected from STOC before being accepted to #COLT2023 . The reviews were mostly favorable, but in each case one referee wondered if the techniques weren't "standard" and proofs "straightforward". To this referee -- and to the world -- we

Local Glivenko-Cantelli

If $μ$ is a distribution over the $d$-dimensional Boolean cube $\{0,1\}^d$, our goal is to estimate its mean $p\in[0,1]^d$ based on $n$ iid draws from $μ$. Specifically, we consider the...

arxiv.org

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Aryeh Kontorovich

@aryehazan

10 months

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Aryeh Kontorovich

@aryehazan

4 years

@thegautamkamath They actually did— in Russian, v comes before ch.

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Aryeh Kontorovich

@aryehazan

1 year

@kfountou @HoldijkLars Yes, exactly this

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Aryeh Kontorovich

@aryehazan

3 months

moral of story: you can't entirely do away with memorizing *some* basic facts

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Aryeh Kontorovich

@aryehazan

2 months

@Indian_Bronson we've been sold short many times before long odds are on the Jews won't be easy, I agree

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Aryeh Kontorovich

@aryehazan

5 months

@kahntra @dontcallSaulz odds are not a Jew

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Aryeh Kontorovich

@aryehazan

1 year

I keep seeing critiques of the “VC culture”. Geesh, folks, I know that PAC learning is old and broke but you don’t need to keep punching down…

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Aryeh Kontorovich

@aryehazan

3 months

I love tautologies because they're tautological

Maximum atheist

@Maximumatheist

3 months

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Aryeh Kontorovich

@aryehazan

8 months

To appear in Neural Information Processing Systems 2023: Near-optimal learning with average Hölder smoothness with S. Hanneke and G. Kornowski

Near-optimal learning with average Hölder smoothness

We generalize the notion of average Lipschitz smoothness proposed by Ashlagi et al. (COLT 2021) by extending it to Hölder smoothness. This measure of the "effective smoothness" of a function is...

arxiv.org

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Aryeh Kontorovich

@aryehazan

1 year

@RichardHanania No but fair and equal enforcement of the law lies at the very foundation of a just, civilized society. Selective enforcement == tyranny.

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Aryeh Kontorovich

@aryehazan

1 year

time for another viral tweet?

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Aryeh Kontorovich

@aryehazan

3 months

I'm not a biologist, nor an MD -- just a first principles guy (where applies) isn't the fact that AIDS is essentially under control through drugs that combat the HIV virus very strong evidence for the HIV causal mechanism of AIDS?

bad_stats 🕜💵🖨️🕣

@thebadstats

3 months

Nice of Bret to use his appearance in front of millions of listeners on Rogan today to talk about how he is now an HIV/AIDS denialist. He finds the evidence that AIDS is not caused by HIV but by the gay lifestyle to be "surprisingly compelling."

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Aryeh Kontorovich

@aryehazan

6 months

Hamas is the most honest partner for peace we’ve ever had.

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Aryeh Kontorovich

@aryehazan

3 months

@Nayborhoodbully How do we know these bikes 🚲 weren’t stolen from Israel?

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Aryeh Kontorovich

@aryehazan

29 days

There's no mystery at all about the Left's hatred of Israel: they want to dismantle all of western civ, so 🇮🇱 is a natural place to start. It's the anti-🇮🇱 Right that I wonder about. Suppose 🇮🇱 is gone. You'll still have an Iran problem. You'll still have a Houthi problem. Hell,

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Aryeh Kontorovich

@aryehazan

1 year

I don't have an intuitive explanation of why 1/n diverges while 1/n² converges. Both have easy and intuitive proofs, but you do actually need to write down some formulas and analyze their behavior. Some things in math are like that, sorry.

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Aryeh Kontorovich

@aryehazan

10 months

@ElonBachman It gets compressed from conscious to subconscious, from explicit to implicit. It all gets remembered and will come up at unexpected times and in unexpected ways.

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Aryeh Kontorovich

@aryehazan

1 year

very pleased to report that 2 papers out of my group have been accepted to #COLT2023 : 1. paper with @IdanAttias (I'm not a co-author, congrats to Idan and the rest) 2. paper with Doron Cohen, "Local Glivenko-Cantelli" excellent work guys, 🍾

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Aryeh Kontorovich

@aryehazan

2 years

@ScottAdamsSays No worries. They'll be investigated by... the FBI?..

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Aryeh Kontorovich

@aryehazan

2 years

I've been told by some people that I'm being shadow-banned. People who follow me tell me they see my posts like once a month. Request: If you follow me (and ONLY if you do), please like this tweet.

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Aryeh Kontorovich

@aryehazan

10 months

Your grade in this cryptography course will be 0 by default. To pass the course, you must figure out how to change it yourself.

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Aryeh Kontorovich

@aryehazan

3 months

@nathancofnas I do so hope that you get on will’s radar and he has another meltdown.

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