ceh123

27 ms·

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by ceh123 6d ago
I published a substack about this just a few days ago [1], my core theory here is that we will absolutely have what I call a "highly productive dark age" in mathematics where knowledge vastly outpaces understanding driven by publi
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A Highly Productive Dark Age: The Impact of AI on Mathematics(ev12183725.substack.com)
2 points by ceh123 9d ago|0 comments
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by ceh123 5mo ago
For now.
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Global Intelligence Crisis – Citadel Securities' Response(citadelsecurities.com)
5 points by ceh123 7mo ago|0 comments
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by ceh123 8mo ago
Context: I finished a PhD in pure math in 2025 and have transitioned to being a data scientist and I do ML/stats research on the side now. For me, deep research tools have been essential for getting caught up with a quick lit review ab
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by ceh123 10mo ago
Exactly! It's n+1 points in n dimensions (when finite). Another way to think about it (the way that I know because it extends into general Banach spaces and not just n dimensional spaces) is that each point inside is the unique weighte
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by ceh123 10mo ago
On the topic of simplices! I did my PhD in dynamical systems and the space of invariant measures [0] is (in the compact setting) always a simplex and the extreme points are the ergodic measures. It's because of this that you can kind o
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by ceh123 10mo ago
This paper is a theoretical analysis showing that the ridge regularization that optimizes the source task almost never optimizes transfer performance. Interestingly, in high SNR regimes (low noise) the optimal regularization for pre-trainin
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Source-Optimal Training Is Transfer-Suboptimal(arxiv.org)
1 points by ceh123 10mo ago|1 comments
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by ceh123 11mo ago
I think my main point is just because an LLM can lie, doesn’t necessarily mean an LLM generated slide is fraud. It could very easily be correct and verified/certified by the accountant and not fraud. Just cuz the text was generated fir
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by ceh123 11mo ago
US v Simon 1969, see [0] for a review. Establishes that accountants who certify financials are liable if they are incorrect. In particular, if they have a reason to believe they might not be accurate and they certify anyway they are liable.
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by ceh123 11mo ago
Presenting false data to investors is fraud, doesn't matter how it was generated. In fact, humans are quite good at "generating plausible looking data", doesn't mean human generated spreadsheets are fraud. On the other h
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by ceh123 1y ago
Even one of these topics I would say it would take most PhDs at least 2-3 years to “master”. I feel like at the end of my math PhD (5 years, 3 focused solely on my research area) I had just scratched the surface of mastery in my sub field
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by ceh123 1y ago
Right but for self improving AI, training new models does have a real world bottleneck: energy and hardware. (Even if the data bottleneck is solved too)
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by ceh123 1y ago
I'm not sure if this really says the truth is more complex? It is still doing next-token prediction, but it's prediction method is sufficiently complicated in terms of conditional probabilities that it recognizes that if you need
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by ceh123 2y ago
To add some extra numbers here just to showcase how little energy usage this is. This means it's adding about 0.012% additional energy consumption to those users energy consumption. From another angle: Average US house energy consumpti
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by ceh123 2y ago
We don't need first principals thinking every time, but having an understanding of why you can't just test 100 variations of your hypothesis and accept p=0.05 as "statistically significant" is important. Additionally it&
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by ceh123 3y ago
Important correction, it’s not DD/MM/YYYY, but DD Month YYYY. (At least what I saw in the article) This format is common in heavily regulated industries and frequently a regulatory requirement since it’s fully unambiguous. I (Amer
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by ceh123 3y ago
As someone that’s in the later stages of a PhD in math, given the title starts with “Mathematical Introduction…”, the notation feels pretty reasonable for someone with a background in math. Sure I might want some slight changes to the notat
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by ceh123 3y ago
Would love a link to this if anyone knows the paper?
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by ceh123 4y ago
Also a subscriber to Kagi. In my experience it's at least marginally better, but one of the really nice features that Kagi has (and probably the main reason I subscribe) is you can extremely easily block domains. So whenever I hit a SE
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by ceh123 4y ago
> They were caught not too long ago actually spreading environmental causes in Texas against rare earth mining. They were trying to leverage our political process to make us dependent on them. Do you have a source for this? I did some qu
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by ceh123 4y ago
It's the first symbol referenced for symbols used in proof by contradiction to show contradiction [0]. I know that's not exactly "not" or "disproof" but I think that might be what the poster was getting at. [0]
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by ceh123 4y ago
Big ups for Bernstein, Against The Gods was a fantastic read and I can’t wait to read Power of Gold. Another book I’d like to throw into the mix here: Central Banking 101 [0] Fantastic overview of how the current central banking system work
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by ceh123 5y ago
“Found in Britain in the last 100 years” is quite the qualifier to drop completely in this context.
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by ceh123 5y ago
Okay yup, turns out this is correct and it's slightly upsetting to me honestly haha. Just for someone else if they're interested where contrapositive and contradiction both use law of excluded middle (the ==* step requires it): Co
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by ceh123 5y ago
You could state (2) as a contrapositive where your re-phrasing of (2) is: If A is the set of all primes, then A is an infinite set. Contrapositive proof: Suppose A is a finite set containing only primes. By (1) we know there exists some p n
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by ceh123 5y ago
Yup good point. Thanks for the clarification
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by ceh123 5y ago
Under this perfect assumption you end up having a problem with the red shift caused by the expansion of the universe (which I didn't account for above) that lengthens the wavelength of the light you want to see, requiring an even large
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by ceh123 5y ago
Check out my reply to a sibling comment. TLDR: huge

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