The Annals of Statistics, Vol. 37, No. 6B (December 2009), pp. 4279-4312 (34 pages) We investigate a method for extracting nonlinear principal components (NPCs). These NPCs maximize variation subject ...

Transforming a dataset into one with fewer columns is more complicated than it might seem, explains Dr. James McCaffrey of Microsoft Research in this full-code, step-by-step machine learning tutorial.

Dr. James McCaffrey of Microsoft Research presents a full-code, step-by-step tutorial on a classical ML technique that transforms a dataset into one with fewer columns, useful for creating a graph of ...

Plant Ecology, Vol. 216, No. 5, Special Issue: Statistical Analysis of Ecological Communities: Progress, Status, and Future Directions (MAY 2015), pp. 657-667 (11 pages) Principal component analysis ...

Inside living cells, mitochondria divide, lysosomes travel, and synaptic vesicles pulse—all in three dimensions (3Ds) and constant motion. Capturing these events with clarity is vital not just for ...