Gesture-based Interaction - Lecture 8 - Next Generation User Interfaces (4018166FNR)
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When the mathematicians Jeff Kahn and Gil Kalai first posed their “expectation threshold” conjecture in 2006, they didn’t believe it themselves. Their claim — a broad assertion about mathematical objects called random graphs — seemed too strong, too all-encompassing, too bold to possibly be true. It felt more like wishful thinking than a reflection of mathematical truth. Even so, no one could prov
This essay is for the exhibition The Game of Life - Emergence in Generatiive Art, online at Kate Vass Gallery and is, in part, a tribute to the work of mathematician John Horton Conway, who passed away on April 11th, 2020, from COVID-19. - Jason Bailey For many people, it is hard to see the elegant connection that exists between art, math, and nature. Growing up, I loved studying art. I frequently
In spite of recent rapid development of biology, chemistry, Earth science and astronomy, the origin of life (abiogenesis) is still a great mystery in science1,2,3,4,5. A prominent feature of life is the ordered information stored in DNA/RNA, and how such information appeared from abiotic processes is a crucial issue. The RNA world hypothesis6,7,8 postulates an early era when RNA played both the ge
A major driver of AI products today is the fact that new skills emerge in language models when their parameter set and training corpora are scaled up. This phenomenon is poorly understood, and a mechanistic explanation via mathematical analysis of gradient-based training seems difficult. The current paper takes a different approach, analysing emergence using the famous (and empirical) Scaling Laws
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