Dan Fleisch briefly explains some vector and tensor concepts from A Student’s Guide to Vectors and Tensors. In the field of machine learning, tensors are used as representations for many applications, ...

Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 239, No. 807 (Feb. 4, 1944), pp. 305-365 (61 pages) In Part I is developed the theory of ...

Familiarity with linear algebra is expected. In addition, students should have taken a proof-based course such as CS 212 or Math 300. Tensors, or multiindexed arrays, generalize matrices (two ...

The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume. This ...

Tensors play a pivotal role in AI and deep learning systems, and share a common heritage with both physics and advanced mathematics. All of which makes it extremely difficult to lock down a definitive ...

New computational techniques, 'HighLight' and 'Tailors and Swiftiles,' could dramatically boost the speed and performance of high-performance computing applications like graph analytics or generative ...

Picture a suspension bridge. The river erodes the pillars, semi-trucks rumble across, blasts of gale-force wind whip between the cables. Through it all, the bridge must stand strong. If we can't see ...

A research team reported the direct measurement of dielectric tensors of anisotropic structures including the spatial variations of principal refractive indices and directors. The group also ...