Heidelberg Laureate Forum
When the Stochastic Parrot Spoke for Itself… and Flew Away
The latest versions of popular chatbots are shedding their reputation as
stochastic parrots and demonstrating skills far beyond their training data such
as self-improvement and original problem-solving – and in the process exposing
the potential for a new era of superhuman AI capabilities. Weiterlesen
Heidelberg Laureate Forum
Die wilde Dynamik des Pierre Berger
Der Mathematiker Pierre Berger, der an der Sorbonne in Paris arbeitet, lässt uns in einer Ausstellung an seinen neuesten Ergebnissen zu kontinuierlichen dynamischen Systemen teilhaben. Diese ist Teil der MAINS on Tour Ausstellung in Heidelberg …
Heidelberg Laureate Forum
A Collatz Conundrum
Choose a positive integer. If the number is odd, multiply it by 3 and add 1. If it is even, halve it. Take your result and repeat the process. The Collatz Conjecture hypothesises that, for any positive integer, this process will eventually reach 1. Weiterlesen
Heidelberg Laureate Forum
Problem des Handlungsreisenden: Durch absurde Touren zum Ziel
Das komplizierte Problem des Handlungsreisenden wird zugänglicher, indem man es noch komplizierter macht: Man erweitert die Menge der denkbaren Lösungen um solche, die eigentlich absurd sind. Der Gewinn an Bewegungsfreiheit im abstrakten Raum der Lösungen wiegt diesen Nachteil auf. Weiterlesen
Heidelberg Laureate Forum
A Random Walk on the Wild Side
It is midnight in New York. A drunkard sets off from home, and goes for a walk. In their inebriation, at each crossroads they randomly choose a direction with equal probability. North with probability ¼. East with probability ¼. South with probability ¼. West with probability ¼. Will they find their way home?
This is an example of what is called a random walk. A random walk is a process by which your location is determined from a sequence of random steps. Weiterlesen
Heidelberg Laureate Forum
What Have the Ancient Babylonians Ever Done for Us?
The ancient Babylonians made remarkable advances in a host of different areas of life that were way ahead of their time, akin to their peers the ancient Egyptians, but one area particularly stands out: their mathematical prowess. Weiterlesen
Heidelberg Laureate Forum
The Biggest Mathematical Proof Ever
In 2017, the record for the largest mathematical proof hit a new high. Using a computer, a theorem was proven in a proof that used 2 petabytes of space. That is 2 x 10^15 bytes of space. It is this problem that I would like to share with you today. Weiterlesen
