The standard recipe for multiplying a 2-by-2 matrix requires eight multiplications. In 1969, Volker Strassen discovered a procedure that uses seven rather than eight multiplication steps. Strassen’s approach was later proved to be optimal. https://t.co/gIwymlEJvV
How does complexity arise in evolution? How do innovations emerge? We must deal with networks and hierarchical patterns to answer this challenging question. Check the chapter by @niles_eldredge and I. Temkin in https://t.co/3F69t8UtEE @manlius84
Is evolution predictable? Would the biosphere look the same if we re-played the tape of evolution, as conjectured by SJ Gould? Here's an excellent paper on this challenging problem by Michael Lässig, Ville Mustonen and Aleksandra M. Walczak https://t.co/JesV0AjlZh
From the origin of life to pandemics: emergent phenomena in complex systems | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences https://t.co/bMboffJmFH
A team of mathematicians and geoscientists has uncovered an entirely new way to approximate singularities of fluid equations. The method harnesses a recently developed form of deep learning.
https://t.co/qxfgHzfOw8
𝘆𝗿𝗖𝗦𝗦 𝗘𝗹𝗲𝗰𝘁𝗶𝗼𝗻𝘀
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Recurrent neural networks have enabled neuroscientists to model predictive processes in the brain that could drive perception — and perhaps even all of cognition. https://t.co/bARkheYTpb
📃A new paper in @CommsPhys, led by SFI Fellow @YuanzhaoZhang, describes a new framework for simplifying the analysis of #synchronization patterns in a wide variety of systems — including #hypergraphs, temporal networks, and multilayer #networks:
https://t.co/8TTYea4BVh
"Understanding the major transitions in evolution is about understanding scale limits. I like to think of cities as a biological system that has undergone a really radical transition from other organisms."
SFI's @ChrisKempes on #IPFest's Alien Crash Site:
https://t.co/IjntOpex4G
Elowan is a robot-plant hybrid designed by Harpreet Sareen and Pattie Maes, both from MIT Media Lab. The system is a true cybernetic organism capable of move toward a light source—an action triggered by the plant itself [read more: https://t.co/v6q6PqShdi]