Tipping points in our climate predictions are both wildly dramatic and wildly uncertain. Can mathematicians make them useful?

Abstract: Inhomogeneous linear ordinary differential equations (ODEs) and systems of ODEs can be solved in a variety of ways. However, hardware circuits that can perform the efficient analog ...

Abstract: Often in applications like medical imaging, error correction, and sensor networks, one needs to solve large-scale linear systems in which a fraction of the ...

Sparse methods are primarily valuable for systems in which the number of non-zero entries is substantially less than the overall size of the matrix. Such situations are common in physical systems, ...

Master the Toolkit of AI and Machine Learning. Mathematics for Machine Learning and Data Science is a beginner-friendly Specialization where you’ll learn the fundamental mathematics toolkit of machine ...

Stochastic dynamical systems arise in many scientific fields, such as asset prices in financial markets, neural activity in ...