True or false: there exists a differentiable function $f(x,y)$ whose tangent plane at $(1, 2)$ is $2x + z= 3$? The plane $x + 2y = 5$ is a vertical plane, but tangent ...

Abstract: To approximate functions of a single variable by using linear interpolation is routine in empirical studies. Here, we consider approximating functions of several variables in a similar ...

Abstract: Nonlinear feedback design via state-dependent Riccati equations is well established but unfeasible for large-scale systems because of computational costs. If the system can be embedded in ...

In this course, you’ll learn theoretical foundations of optimization methods used for training deep machine learning models. Why does gradient descent work? Specifically, what can we guarantee about ...