Nobody has shown more vividly how all this overreliance on statistics in LLMs plays out than the AI safety researcher Owain ...

Suppose estimates are available for correlations between pairs of variables but that the matrix of correlation estimates is not positive definite. In various applications, having a valid correlation ...

Statistical mechanics provides a fundamental framework for understanding how collective phenomena in many-body systems give rise to macroscopic changes in state, known as phase transitions. Research ...

Here's another example of the difference between statistical correlation and causation. Maybe it's best to agree on a plausible path of causation before looking for the correlation. That way it avoids ...

Up to now, it has taken a great deal of computational effort to detect dependencies between more than two high-dimensional variables, in particular when complicated non-linear relationships are ...

Most of us know this phenomenon only too well: as soon as it is hot outside, you get an appetite for a cooling ice cream. But would you have thought that mathematics could be involved? Let us explain: ...