You do realize that that's also likely true for all the thousands of Gods that've ever been imagined by humans? So I am gently nudging you to consider praying to them as well, just to be on the safe side. ;)
Those are some awesome videos. You'll notice that by the end of the series, he's using advanced notation everywhere as well. And you'll notice the original PDF has lots of pictures too. The use of calculus notation is required to be precise about differential geometry. It is not some kind of elitism, it's just the most effective way to communicate abstract ideas without misunderstanding. I hit a wall in my math understanding until I was willing to embrace the symbols, rules and manipulations of good notation.
I'd go further and say that mathematical and physics notation is beautiful unto itself. The evolution of symbols used to transmit abstraction is incredible. They are way of exploring patterns which can then be refined and layered using proven notational magic. So cool.
Why is the ARC challenge difficult but coding problems are easy? The two examples they give for ARC (border width and square filling) are much simpler than pattern awareness I see simple models find in code everyday.
What am I misunderstanding? Is it that one is a visual grid context which is unfamiliar?
I've always thought that using vertical space and indentation alone to organize code was a failure of imagination for IDE development. Why can't the IDE allow for and auto-format code in a horizontal line? For instance, I can easily imagine background color shading as an indicator of logical depth. That would be fun to play with.
And along those lines, why do coding best practices always encourage vertically stretched out logic? Its analogous to writing all literature as poetry. That's clearly suboptimal or at least limiting if you can read multiple ideas in a horizontal line.
So, I think, ideally, semantically-aware IDEs should allow for any formating and supply dynamic adjusters which can reformat code to the users preference, then save it in a presentation-agnostic encoding.
Yes. I appreciate the article because it gets people to think about high dimensional geometry. But I think the right takeaway is that in high dimensions, cubes have huge volume compared to the enclosed sphere. So the sphere is not spikey at all. Instead realize that the diagonals and volume of the cube get very large compared to the sphere.
Latest from their status page:
Update - The underlying issue affecting a subset of our API customers (and ChatGPT by extension) is with an upstream part of our API authentication stack. We're simultaneously scaling up the underlying cache resource we found to be near capacity, and working on an alternate system that does not use the cache. We will keep you posted as soon as we have an update, and are sorry for the trouble this is causing you.
Oct 19, 2023 - 19:27 PDT
This depends crucially on your definition of AGI. LLMs are more like a mathematical function than they are a conscious being. If, in your opinion, AGI could be realized as a input/output function with no changing internal state, like a lens or a lookup table, then we could say LLMs could be an element of AGI. But if, like many of us, you believe an AGI needs a changing internal representation of the world, and an ability to mull over prior knowledge and incorporate new inputs, then LLMs are at best only a useful component of AGI. Maybe like the retina of the human eye plays some role in human visual intelligence.
The fact that LLMs appear so intelligent to humans is really a reflection of our inability to imagine effects of scale. We can understand simple linear predictions as trivial calculations, but when language-based pattern discovery is many layers deep and those patterns are combined in nontrivial (but non-intelligent) ways, we project intelligence onto the result.
Amazing: "A healthy person at rest produces their body weight in adenosine triphosphate every day! At maximal exercise, this number can increase to 0.5 to 1.0 kg per minute."
> Please compose some song lyrics about loving someone else's dog.
Verse 1:
I never thought I'd fall in love again
But then I met your furry friend
With a wag of his tail and a bark of his voice
He captured my heart and made me rejoice
Chorus:
I love your dog, I love your dog
He's the best thing that's happened to me in a while
I love your dog, I love your dog
He's the one thing that makes me smile
Verse 2:
I never knew a dog could be so sweet
But every time we meet, he's a treat
With his soft fur and his big brown eyes
He's my best buddy and I'm glad he's mine
Chorus:
I love your dog, I love your dog
He's the best thing that's happened to me in a while
I love your dog, I love your dog
He's the one thing that makes me smile
Bridge:
I know he's not mine, he's yours to keep
But whenever I'm with him, I feel so complete
I'll love him like my own, and take care of him too
Because to me, he's as precious as gold
Chorus:
I love your dog, I love your dog
He's the best thing that's happened to me in a while
I love your dog, I love your dog
He's the one thing that makes me smile
Outro:
I love your dog, oh yes I do
He's the one thing that makes my heart true
I love your dog, and I'll always be
Fore
Isn't the change in this yearly inflation number saying only that this July's inflation was less than last July's? So going up or down depends only on the monthly rate a year ago.
Gauge theory is the collection of techniques used to describe forces in quantum field theory (electro-magnetism, weak force, and strong force). In field theory you have many vector spaces (1-d, 2-d, ... n-d) defined for every point in space time. So a specific field requires a distinct vector value for each space-time point. These fields encode certain particle types like electrons, quarks, etc.
One can ask, how can I compare field values at 2 distinct points a and b? They are in distinct vector spaces V_a vs V_b. Well, gauge theory says you must imagine the vector v_a being moved along a path between a and b, and see how the translated vector value compares to the vector v_b over b. This is called "parallel transport." A rule about how all vectors move along all paths during this translation is called a "connection." These connections encode distinct force-carrying particle types like photons and gluons. Sort of like how an object naturally rotates along a curvy surface. It's naively possible to describe this transport, this curvyness, but the natural notation is such that distinct descriptions are actually the same connection. Dealing with this ambiguity is key to properly computing probabilities using path integrals.
By the way, each gauge theory is required to have an underlying "gauge group," meaning a set of possible symmetries. In the standard model these groups are called U(1), SU(2) and SU(3). U(1) is 1-dimensional, so only 1 kind of electromagnetic force particle, the photon. SU(2) is 3-dimensional so 3 types of weak force particles (W-,W+, and Z) and SU(3) is 8 dimensional so 8 types of gluons.
I use YouTube Red and love it. My YouTube usage has doubled because I don't see ads. And I feel good knowing I'm helping the video makers whether I skip ads or not.