Mathematicians’ New Best Friend?
A recent blog post highlighted three Spark Session talks at the 12th Heidelberg Laureate Forum that focused on the potential for a new era of superhuman AI capabilities through AI self-improvement and interaction with the real-world environment. Here, we discuss the thoughts of human mathematicians on the prospect of ‘superhuman AI mathematicians’ impacting their field. Weiterlesen
Wie verhindern wir wissenschaftliches Fehlverhalten in den Zeiten von AI?
Für mich war die interessanteste Erkenntnis aus der Podiumsdiskussion zum Thema ‘wissenschaftliche Integrität’, die beim 12. Heidelberg Laureate Forum stattfand, dass die Bedeutung des Begriffs stark von der eigenen Perspektive abhängt. Unterschiedlichen Perspektiven. Je nach …
Different Perspectives on Scientific Misconduct
For me, the most interesting takeaway from the panel discussion on scientific integrity at the 12th Heidelberg Laureate Forum was that scientific misconduct means rather different things from different perspectives, and that these perspectives shape …
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
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 …
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
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
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