When engineers build AI language models like GPT-5 from training data, at least two major processing features emerge: memorization (reciting exact text they’ve seen before, like famous quotes or ...

This paper quantifies the size of the main industrial policy instruments in China and estimates their impact on domestic factor misallocation and aggregate productivity. The quantification of ...

Earlier this month, 36 sharp-witted high school students from around the globe stepped foot on the warm and breezy campus of Stanford University. Out of more than 4,000 students from more than 2,000 ...

What if the secrets to the universe’s most perplexing mathematical riddles were no longer locked away, but instead cracked open by an artificial mind? In a new development, OpenAI’s o3-mini model has ...

Microsoft has introduced a new set of small language models called Phi-4-reasoning, Phi-4-reasoning-plus, and Phi-4-mini-reasoning, which are described as "marking a new era for efficient AI." These ...

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Amazon is using math to help solve one of artificial intelligence’s most intractable problems: its tendency to make up answers, and to repeat them back to us with confidence. The issue, known as ...

Prime numbers—numbers divisible only by 1 and themselves—have long fascinated mathematicians. This year a researcher discovered the largest known prime number, with a whopping 41,024,320 digits. It ...

David Bessis was drawn to mathematics for the same reason that many people are driven away: He didn’t understand how it worked. Unlike other creative processes, like making music, which can be heard, ...