When citing a conference publication, it's important to include the date and location of the conference it was presented at for the benefit of readers with a time machine.
I just discovered that someone blocked me almost certainly because of this post. Lol. π
πΊπ¦
Owning a vineyard is just farming for rich people.
We want to evaluate $$ \sum_{\color{red}k=0}^\infty (\color{red}k+1) \color{blue}p^{\color{red}k}\,. $$ Introduce the function $f$, for $|\color{blue}x|<1$: $$ f(\color{blue}x) = \sum_{\color{red}k=0}^\infty \color{blue}x^{\color{red}k}\,. $$ That's a nice geometric series, and we easily get $f(\color{blue}x) = \frac{1}{1-\color{blue}x}$. So we can differentiate that: $$ f'(\color{blue}x) = \frac{1}{(1-\color{blue}x)^2} $$ But $f$ was defined as a power series, and we can also differentiate *that* termwise: $$ f'(\color{blue}x) = \sum_{\color{red}k=1}^\infty \color{red}k \color{blue}x^{\color{red}{k-1}} = \sum_{\color{red}k=0}^\infty {(\color{red}k+1)} \color{blue}x^{\color{red}{k}}\,. $$ Well, $f'(\color{blue}x)= f'(\color{blue}x)$ (!), so we can use both expressions, and evaluate them at $\color{blue}p$: $$ \boxed{\sum_{\color{red}k=0}^\infty {(\color{red}k+1)} \color{blue}p^{\color{red}{k}} = \frac{1}{(1-\color{blue}p)^2}} $$
Let's say you want, e.g., to compute the expectation of a Geometric r.v. That'll involve, at some point, evaluating a series of the form "Ξ£ (k+1) p^k" which looks like what Lovecraft may have done to a geometric series. How to do it?
One trick I enjoy: differentiate the same function, in two ways!
Picture of a car license plate with the number obscured. The plate says. CHAHTA SIA HOKE! In God We Trust Choctaw Nation of OKLAHOMA
I like spotting license plates from interesting states. This one was notably interesting.
The conclusion to this story is that I planned to return the empty package, but someone threw it in the recycling before I did so. $20 down the drain...
I asked Gemini to reformat my algorithm for {algorithm2e}. It looks ugly, but it works.
I confess that I think it's actually a good meme, but the people who post it tend to misunderstand who they are and where they are in the cycle.
Anthropic and OpenAI are both losing money and they know this can't go on forever, but they are locked in a race to develop better and better AI. OpenAI is trying to make some money with ads. Anthropic is basically looking at OpenAI, smiling, and asking "you feeling tired already?"
Proprietary models could effectively disappear. Not sure why that would happen, but some people want to heavily regulate them
Your #NeurIPS2026 reviews ask you to compare to five papers on clawxiv.org
What do you do?
Thank you for your comments that add nuance and depth to the discussion, while also confirming my high level understanding of the paper.
Thanks for confirming my beliefs about the paper. (I haven't read beyond the headline.)
Screenshot of Amazon app listing return options. Whole foods Staples Kohl's UPS Etc.
Which is the best option for returning nothing?
Photo of a green label on top of a white USPS label on a brown package. The green label says the following. ATTENTION CUSTOMER * RECEIVED UNSEALED * RECEIVED DAMAGED * RECEIVED WITHOUT CONTENTS There is a handwritten "B 1/30/26" on the green label.
Amazon sent me an empty/broken package. I'm trying to get my money back, but there's no explicit option for this. I may have to "return" the item by sending an empty package back.
me: How should I invest my savings to avoid the AI bubble?
tech friends: What bubble?
non-tech friends: What savings?
Obviously, LLMs are much more than just adblockers, but they also do serve that purpose.
I also wonder if ads and GEO will creep into chatbots and erode this utility.
I wonder how much of the appeal of chatbots is that they are basically next-level adblockers. A lot of queries should have perfectly good web search results -- e.g., give me a recipe for X or what is good to do as a tourist in city Y -- but those web pages are unusable due to ads and SEO.
In the battle between artificial intelligence and human stupidity, my money is on the humans.
4. My big fear is that the violence escalates. Trump commands the most powerful military in the world; he has an almost unlimited ability to escalate β and he seems willing to do so. Thus it is up to his opponents to avoid escalation at all costs. Stay peaceful. Obey the law, even when ICE doesn't.
3. I'm awed by the many people who are exercising their first amendment rights to film ICE operations in public, despite the threat of unlawful & violent retaliation. Nonviolent (and lawful) resistance is the way β their videos are moving public opinion.
2. Calling the victims "domestic terrorists" is absurd. But terrorism is a federal crime, so it gives the federal government jurisdiction. If it's just a homicide, it would be purely a state matter. I think that's why they are smearing the victims even though they're not fooling anyone.
1. The videos of the killings of Renee Good & Alex Pretti by ICE/CBP are pretty damning, but, if there's a thorough investigation/prosecution & a jury acquits, I'd accept that. The real problem is that the federal government is blocking any investigation. That should be unacceptable to everyone.
I try to avoid posting about politics here, but I feel compelled to say some things that should be obvious: π§΅
I really want @arxiv.bsky.social to collect more author metadata (and actually use it).
Wut?
I am afraid to ask: What happened now?
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