Ritch Beau
4.6K posts

Ritch Beau
@ritchbeau
🇨🇦 Actuary. Systems. Computing. Decisions. Structure.








After seeing that high-dimensional unit balls hide almost all their volume in a thin shell, here’s an even crazier sequel: A high-dimensional Gaussian is not a cosy bell with mass cuddled at the peak, it’s basically empty in the centre, with almost all the probability living in a thin halo out on the slope at a distance about “square root of the dimension” from the origin. That means a “typical” draw from a hundred-dimensional Gaussian is nowhere near the mean! 🤯 It sits on this annulus where the density is lower but the volume is enormous. Interpreted in real life, that’s huge: when you initialise a big neural network with Gaussian weights, most networks you get have roughly the same overall weight norm, all sitting on this shell, so training is happening on a thin energy ring rather than near zero. #HighDimensionalSpace #MachineLearning #Gaussian





A CERN breakthrough may reveal why anything exists. In a landmark discovery at CERN’s Large Hadron Collider, physicists have detected subtle asymmetries in the decay of matter and antimatter. For the first time, CP violation—an imbalance in the behavior of particles and antiparticles—has been observed in baryons, the building blocks of protons, neutrons, and essentially all visible matter in the universe. This finding addresses a profound cosmic mystery: the Big Bang should have produced equal amounts of matter and antimatter, which annihilate upon contact. In theory, they should have obliterated each other, leaving only energy behind. Yet the universe exists, filled with stars, planets, and life—evidence that a minute surplus of matter escaped annihilation. Scientists have hunted for the mechanism behind this asymmetry for decades. CP violation was previously observed in mesons, but baryons dominate the material world, making this new result far more significant. By analyzing 80,000 decays of the lambda-beauty baryon (Λ_b), researchers found that its antimatter counterpart decays at a slightly different rate—by roughly 2.5%. The result is robust, with a statistical significance of 5.2 sigma, meaning a less than 1-in-10-million chance of being a fluke. The Standard Model predicts some CP violation, but far too little to account for the matter-dominated universe we observe. While this breakthrough doesn’t resolve the puzzle, it strongly suggests physics beyond the Standard Model—potentially pointing the way to the forces that allowed matter to prevail. ["Observation of charge–parity symmetry breaking in baryon decays." Nature, 2025]



Worst cities to build a startup: - San Francisco - New York - Austin - pretty much the whole America Best cities to build a startup: - Strasbourg, France (proximity to the EU parliament) - Aachen, Germany - Graz, Austria This is an approved list by the EU government officials so no point discussing it















