We present a tensor-structured algorithm for efficient large-scale density functional theory (DFT) calculations by constructing a Tucker tensor basis that is adapted to the Kohn–Sham Hamiltonian and ...

The distinction between living and nonliving systems has long fascinated both scientists and philosophers. The question has been at the core of the areas of systems biology and complexity science ...

Graphs are everywhere. In discrete mathematics, they are structures that show the connections between points, much like a public transportation network. Mathematicians have long sought to develop ...

The most widely used technique for finding the largest or smallest values of a math function turns out to be a fundamentally difficult computational problem. Many aspects of modern applied research ...

Generative AI is transforming how we learn, create, and build software—and this course provides a rigorous, hands-on introduction to the theory and algorithms behind today’s Large Language Models ...

Back in the hazy olden days of the pre-2000s, navigating between two locations generally required someone to whip out a paper map and painstakingly figure out the most optimal route between those ...