applying jax.grad to a function which uses diffrax to integrate a piecewise defined ODE, I observe that one partial derivative is unexpectedly zero. The ODE solver returns correct function values, ...

In the study of production scheduling to meet random fluctuations in supply and demand, a probabilistic measure of effectiveness can be used. This measure is a piecewise quadratic positive definite ...

Abstract: Modern Deep Neural Networks (DNN) increasingly use activation functions with computationally complex operations. This creates a challenge for current hardware accelerators, which are ...

We consider piecewise H¹ functions and vector fields associated with a class of meshes generated by independent refinements and show that they can be effectively analyzed in terms of the number of ...