Knowledge Zone#KnowledgeBit: In #Information theory, the #Kolmogorov #Complexity of a string is defined as the length of the #Shortest #Program that can generate that string as output.
It provides a way to quantify the information content of a string
OFA#NicoleGarreau est sincèrement désolée de pinailler une nouvelle fois, chère France Cul’, mais là elle écoute le court balado que vous avez consacré la place de la science physique dans les toiles de #VanGogh et où vous mettez en doute — probablement à raison — le fait que le plasticien eût pu vouloir représenter la turbulence cosmique en peignant « La Nuit étoilée » et donc illustrer la Loi de #Kolmogorov. La vieille Garreau est d’accord sur ce point : la plupart du temps on prête aux artistes bien plus d’intentions qu’iels n’en ont réellement.
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smoochSame but different: “common-substring” vs “kolmogorov complexity”
franco_vazzaThe XRISM analysis had a limited amount of observed fields of view (integrations are expensive!!) and tried to reconstruct the "velocity structure function" (VSF), i.e. a standard way to study turbulence in many different environments.
Textbook turbulence (isotropic, incompressible) has a very distinct trend of VSF, first derived by genius A. #Kolmogorov in 1941.
The XRISM paper reported that the VSF in the Coma cluster is way different than this, hence turbulence must be weird there.
JMLR'Integral Probability Metrics Meet Neural Networks: The Radon-Kolmogorov-Smirnov Test', by Seunghoon Paik, Michael Celentano, Alden Green, Ryan J. Tibshirani.
http://jmlr.org/papers/v26/24-0245.html
#nonparametric #distributions #kolmogorov
Nicole SharpKolmogorov Turbulence
Turbulent flows are ubiquitous, but they’re also mindbogglingly complex: ever-changing in both time and space across length scales both large and small. To try to unravel this complexity, scientists use simplified model problems. One such simplification is Kolmogorov flow: an imaginary flow where the fluid is forced back and forth sinusoidally. This large-scale forcing puts energy into the flow that cascades down to smaller length scales through the turbulent energy cascade. Here, researchers depict a numerical simulation of a turbulent Kolmogorov flow. The colors represent the flow’s vorticity field. Notice how your eye can pick out both tiny eddies and larger clusters in the flow; those patterns reflect the multi-scale nature of turbulence. (Image credit: C. Amores and M. Graham)
#2024gofm #flowVisualization #fluidDynamics #Kolmogorov #numericalSimulation #physics #science #turbulence #turbulentEnergyCascade
Nicolas Fränkel 🇪🇺🇺🇦🇬🇪#Autism as the #Kolmogorov Complexity Phenotype
https://www.lesswrong.com/posts/mqidwkF6KgRHLDoLb/autism-as-the-kolmogorov-complexity-phenotype
norbiewegs#DidYouKnow: In #Information theory, the #Kolmogorov #Complexity of a string is defined as the length of the #Shortest #Program that can generate that string as output.
It provides a way to quantify the information content of a string
Big MathsJamIn our second session of the day, we heard from Jørn Hafver who trained an AI in audio recognition right in front of us - so it could tell how loud we were clapping at the end. Ben Ashforth spoke about a journey he went on, inspired by a talk from the last gathering, to visit roads named after every day of the year (details at http://benguin.co.uk/roads). @alisonkiddle talked about the maths behind the games Guess Who and Which One Doesn't Belong, and has a pleasing binary chop device made from card with pins and holes. Phil Ramsen followed up on his talk from three years ago and discussed slide rules and Kolmogorov. Daniel Johnson explored the possibly surprising link between Numberblocks and Polyominoes (https://youtu.be/htnZGHjX8p4?si=YzAXxPP7lT2-_Do5&t=522)- and @Tarim said what we've all been thinking and pointed out some illogical song lyrics - lions don't really live in the mighty jungle, and Kilimanjaro is nowhere near the Serengeti! #mathsjam #maths #ai #travelling #guesswho #wwdb #sliderules #means #averaging #kolmogorov #numberblocks #polyominoes #songs #logic #lyrics