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The catch-22s of reservoir computing: Researchers find overlooked weakness in powerful machine learning tool

The catch-22s of reservoir computing: Researchers find overlooked weakness in powerful machine learning tool
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Do higher-order interactions promote synchronization?

Do higher-order interactions promote synchronization?
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Lou Schuyler Internal Grants fund new postdoctoral research

<p>In December 2022, SFI opened applications for its Postdoctoral Fellows to apply for funding through the <a href="https://www.santafe.edu/pages/lou-schuyler-internal-postdoctoral-research-grant-">Lou Schuyler Internal Postdoctoral Research Grant Fund</a>. Now in its second round, the fund offers SFI Postdoctoral Fellows up to $15,000 per grant to explore new areas of research or expand the scope of their current projects.&nbsp;</p>

A high-dimensional sphere spilling out of a high-dimensional cube despite exponentially many constraints

Make a square, split each side into two halves, producing four cells. Put a circle into each cell such that it fills it completely. There is a small gap right in the middle of the square. Put a circle there again such that it touches the other four circles. The central circle is obviously inside the square, right? Yes, but only if the dimension you are in is $D\le9$. Above that, the central cicle actually spills out from the cube, despite the $2^D$ spheres in their cells keeping it in. In this post I present this simple-to-compute yet utterly counter-intuitive result.

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