The authors teach a course at the University of California Berkeley on using scientific tools to approach everyday problems. Now, they've turned it into a book called "Third Millennium Thinking ...

Positive results — proofs that transformers can in principle solve certain problems — don’t imply that a language model will actually learn those solutions during training. And even results that ...

People who solve particularly hard problems, like physicists and mathematicians, are especially known for using their unfocused minds for breakthrough problem-solving.

Mathematicians have devised a new way to solve higher-order polynomial equations, ushering in a 'dramatic revision of a basic chapter in algebra'.