The sparse Fourier transform has emerged as a pivotal advancement in spectral analysis, enabling the rapid recovery of signals that exhibit only a few non‐zero frequency components. Traditional fast ...

In January, four MIT researchers showed off a replacement for one of the most important algorithms in computer science. Dina Katabi, Haitham Hassanieh, Piotr Indyk, and Eric Price have created a ...

The computational manipulation of polynomials is a foundational element across pure and applied mathematics, computer algebra, cryptography and scientific computing. Central tasks include ...

The fast Fourier transform, forward and inverse, has found many applications in signal processing. Although the theory of fast Fourier transforms is well-known, numerous commercially available ...

The Fourier transform is an important mathematical tool that decomposes a function or dataset into a its constituent frequencies, much like one could decompose a musical chord into a combination of ...

(via Veritasium) The Fast Fourier Transform is used everywhere but it has a fascinating origin story that could have ended the nuclear arms race.