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One parameter is enough: https://aip.scitation.org/doi/10.1063/1.5031956 https://aip.scitation.org/doi/10.1063/1.5031956
by pharmacy7766 2y ago
One parameter is enough: https://aip.scitation.org/doi/10.1063/1.5031956 https://aip.scitation.org/doi/10.1063/1.5031956
- danbruc 2y agoThe number of parameters is just the wrong metric, it should be the amount of information contained in the parameter values, their entropy, Kolmogorov complexity or something along that line.
- dweinus 2y ago"This single parameter model provides a large improvement over the prior state of the art in fitting an elephant" Lol
- Nition 2y agoNice. This is like how you can achieve unlimited compression by storing your data in a filename instead of in the file.
- redox99 2y agoThat's like saying your entire hard drive is a single number.
- comex 2y agohttps://en.wikipedia.org/wiki/Illegal_number https://en.wikipedia.org/wiki/Illegal_number
- gowld 2y agohttps://github.com/philipl/pifs https://github.com/philipl/pifs > πfs: Never worry about data again! > πfs is a revolutionary new file system that, instead of wasting space storing your data on your hard drive, stores your data in π! You'll never run out of space again - π holds every file that could possibly exist! They said 100% compression was impossible? You're looking at it!
- zellyn 2y agoFrom the paper: > Paintadosi [4] argues that one parameter is always enough. He constructed a function that, through a single parameter, can depict any shape. However, in essence, this work is a form of encoding, mapping the shape into a real number with precision extending to hundreds or even thousands of decimal places. For our problem, this is meaningless, although the paper’s theme is that “parameter counting” fails as a measure of model complexity