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The Math of Catastrophe (quantamagazine.org)
bethekind 141 days ago [-]
> the behavior of a complex system can simplify as it passes from one state to another. “Sometimes a high-dimensional system can tip,” said Lenton, “and when it gets near tipping, it starts to behave like a much lower-dimensional system.” The lesson, he added, echoes the one learned at Peter Lake: to “simplify without oversimplifying.”

Sounds a lot like what people WANT neural networks to do. Collapse a high dimensional situation into a very low dimensional network. Ideally a binary answer, yes or no. I wonder if this bifurcation chaos math has implications in ml work

CalRobert 141 days ago [-]
I wonder how well this math works for things like sociological phenomena.

""" According to their model, a tipping point in the AMOC should occur between 2025 and 2095, with 95% confidence. They expect it in 2057. """

As someone with a Dutch mortgage due to be paid off in 2055 I'm not sure what to do...

danielodievich 140 days ago [-]
I personally very much appreciate this kind of science, it is what made our world what it is. However, the public people leading the world appear to be unable to read a single page, much less this kind of article, or appreciate the complexity of the systems we are all operating with. We're all screwed. Especially my kids. Bah.
trosenbaum 141 days ago [-]
I believe this area of mathematics will become one of the most important areas within 10 years.
capitalbreeze 141 days ago [-]
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