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New Theory Suggests Chatbots Can Understand Text
...ones by combining skills in a manner that hints at understanding — combinations that were unlikely to exist in the training data. This theoretical approach, which provides a mathematically provable...
Michel Talagrand Wins Abel Prize for Work Wrangling Randomness
...mathematics I do was not fashionable at all when I started. It was considered inferior mathematics. The fact that I was given this award is absolute proof this is not...
How Chain-of-Thought Reasoning Helps Neural Networks Compute
...“That’s a good thing.” Training Transformers Large language models are built around mathematical structures called artificial neural networks. The many “neurons” inside these networks perform simple mathematical operations on long...
How the Ancient Art of Eclipse Prediction Became an Exact Science
...had to pick one turning point, it might have been the morning of April 22, 1715, when a solar eclipse loomed over London. The British polymath Edmond Halley, best remembered...
Avi Wigderson, Complexity Theory Pioneer, Wins Turing Award
...and mentees say he consistently finds unexpected bridges between disparate areas. And his work on randomness and computation, starting in the 1990s, revealed deep connections between mathematics and computer science...
Ecologists Struggle to Get a Grip on ‘Keystone Species’
More than 50 years after Bob Paine’s experiment with starfish, hundreds of species have been pronounced “keystones” in their ecosystems. Has the powerful metaphor lost its mathematical meaning? Anne Salomon’s...
Strangely Curved Shapes Break 50-Year-Old Geometry Conjecture
...Cheeger of the Courant Institute of Mathematical Sciences at New York University. “And how in God’s name could you construct a counterexample to it?” In this area of mathematics, said...
‘Sensational’ Proof Delivers New Insights Into Prime Numbers
...mathematicians much deeper certainty about how prime numbers are distributed, while also implying a host of other consequences — making it arguably the most important open question in math. Mathematicians...
Will AI Ever Have Common Sense?
...of the biggest questions in math and science today. In this episode, we’re going to be speaking to computer scientist Yejin Choi about the architecture and capabilities of large language...