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How Do Machines ‘Grok’ Data?
...the observer becomes a part of the process being observed.” The overtrained neural network, designed to perform certain mathematical operations, had learned the general structure of the numbers and internalized...
My Fantastic Voyage at Quanta Magazine
...led the development of our expansive and enticing interactive map of mathematics. Later that year, I relished the collaborative fusion of mathematical, visual and editorial ideas that the number theorist...
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...
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...
The Researcher Who Explores Computation by Conjuring New Worlds
...get interested in mathematics? I was interested in math even before I really knew what it was. In third grade, my math grades started slipping because we were supposed to...
Topologists Tackle the Trouble With Poll Placement
...to each different polling site,” said Topaz. Porter notes that mathematicians have had success using sophisticated mathematical techniques to quantify gerrymandering, the deliberate skewing of legislative districts. He sees the...
Math That Connects Where We’re Going to Where We’ve Been
Recursion builds bridges between ideas from across different math classes and illustrates the power of creative mathematical thinking. Say you’re at a party with nine other people and everyone shakes...
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...
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...