Just cancelled my @ChatGPTapp subscription and deleted @OpenAI software from all my devices. Kudos to @AnthropicAI for their ethical stance, excited for my new @claudeai subscription!

I'm running my first Niagara-on-the-Lake ultramarathon 50k later this year in June! Join me by signing up here: www.niagaraultra.ca

. @cvprconference.bsky.social reviews done, and out for the night 🫡 🍷

Just watched the movie Sharper (2023) on Apple TV+
A terrific movie and one of my best watches of the year after the Heretic (2024)! Happy Holidays!

build upgrade! added in a quadro rtx 5000 with an external PCIe Riser cable to my rtx 3090 ti workstation. check it out on @pcpartpicker.com - pcpartpicker.com/b/7zk9TW

So, the parallel transport of a vector along a longitude preserves the angle it makes with the longitude. But the same is not true for parallel transport along Latitudes - the angle made by a vector with the latitude changes (to keep the angle wrt the Geodesic same) 3/3 #DiffGeo

Parallel Transporting a vector v from the point P to Q on a sphere preserves the angle the vector v makes with the GEODESIC (i.e. the shortest path) connecting the two points! 2/3

Longitudes are geodesics of a sphere as they are circles with the same radius and center as the sphere; Latitudes AREN'T!

The shortest path between two points P and Q with the same latitude is NOT along the latitude! Instead it is along the great circle passing thru P & Q! 1/3

Einstein's field equations for the spacetime metric in the presence of a mass are *highly* non-linear and ugly (algebraically)!
So the spacetime curvatures don't just "add up" in the presence of multiple masses. It is WAY MORE COMPLICATED than the rubber sheet analogy!😠 (2/2)

My latest pet peeve: A ball on a rubber sheet is one of the worst possible ways to visualize General Relativity (discounting for 2d vs 3+1d).
Assuming a rubber sheet is elastic, the deformation due to weights is linear. Add another weight, the deformation just adds up! (1/2)

When x~U(-1,1), the correlation between x and x^2 is zero! So,
- No correlation is not independence, and
- No correlation is not no causation.

💡The speed of light is constant across inertial frames (so called a Lorentz invariant), but not the velocity of light!

Different inertial observers can perceive different directions of a light beam but they all measure the same scalar speed of light.

This resolves most relativity "paradoxes."

Know your rights. Protect your neighbors.

New York is — and always will be — a city for all immigrants.

LIVE with the Godfather of AI YouTube video by Senator Bernie Sanders

Check out Prof. Hinton and Bernie @sanders.senate.gov (two of my personal heroes) talk about AI and the Govt.'s role in working for the people -
www.youtube.com/live/edTTeY1...

Skye 🐈 agrees with Prof. Hinton about the looming AI Doomsday and is visibly upset :/

Lecture 1: Topology (International Winter School on Gravity and Light 2015) YouTube video by The WE-Heraeus International Winter School on Gravity and Light

Hands down the best introduction to all the Differential Geometry and Riemannian Geometry you will ever need to understand General Relativity - this is gold: www.youtube.com/watch?v=7G4S...

Neural Discrete Representation Learning Learning useful representations without supervision remains a key challenge in machine learning. In this paper, we propose a simple yet powerful generative model that learns such discrete representati...

So many recent vision papers using VQ-VAE... Time to give it another read: arxiv.org/abs/1711.00937

Finally! Got the indices right in deriving the Geodesic Equation with the Christoffel symbols expressed in the standard form! Phew (and wohoo!)!!! Tl;dr. Finding the shortest path under a general metric is an insanely complicated thing computationally, quite unintuitive but true!

N-th attempt at deriving the Geodesic equation without messing up the tensor indices... so close to having the right Christoffel tensor expression now but it's still missing terms:( 😮‍💨

My PhD students are now out on the academic job market. Please give them jobs (and tuna). Ty.

“Terrible things are happening outside. Poor helpless people are being dragged out of their homes. Families are torn apart. Men, women, and children are separated. Children come home from school to find that their parents have disappeared.”

Diary of Anne Frank
January 13, 1943

current c.o.m. coordinates:

I've a new law based on my observations of my cats. The center of mass of all cats in the household is a random walk around the pet owner's coordinates.

T(x) can be as nonlinear as you'd like in x.

In general, just answering the question of a metric representing flat or non-flat space is quite a computational challenge as you need to look for any T(x) that reduces g(x) to an Identity.

(Ref: GR Lec 1 by Prof Leonard Susskind)

A metric g(x) describes a flat intrinsic geometry iff there exists a coordinate transformation T(x) such that the metric under the transformation becomes an Identity matrix for all x.

i.e., transpose(T(x)) * g(x) * T(x) = Identity matrix; for all x.

Yes. And, Pineapple on Pizza ❤️

Wrap Text >>>>> No Wrap. Always! Any global setting to make this the default @vscode.dev ?!

With the new Roaring Kitty, it's no GameStop but GameStart. #luna #skye

discipline >>>>>>>> inspiration or motivation