LLMs and string theory suggest that language and reality both emerge from projections across hidden dimensions.

Mehtaab Sawhney, who joined Columbia last year, enjoys the thorny work of proving a seemingly straightforward statement of ...

Dr. James McCaffrey from Microsoft Research presents a complete end-to-end demonstration of Nadaraya-Watson kernel regression ...

The Vector API gives Java developers everything they need to tap into CPU-level performance gains for numerically intensive ...

That’s exactly what happened in 1900 at the International Congress of Mathematicians at Sorbonne University in Paris.

Mathematicians’ Favorite Shapes Hold the Key to Big Mathematical Mysteries ...

Researchers have found an answer to a centuries-old floral mystery, using a mathematical model to explain how striped tulips get their distinctive pattern.

DeepSeek and OpenAI’s o1 models performed the best across the various benchmarks, but all models still struggle in a range of ...

Thanks to This Silent Algorithm Imagine living in Cape Town or Johannesburg, working your regular job, and suddenly ...

Learn how vector databases enable advanced AI applications, semantic search, and efficient data retrieval for unstructured datasets.

She saw her math courses as a curricular hurdle that only geniuses ... You can use something called a functor to translate your two topological spaces into vector spaces, for example. If you then find ...

But if you unpick the formula above it boils down to simple maths: take the trade deficit ... countries than it sells (exports) to them. For example, the US buys more goods from China than it ...