JSTOR Daily

Minimization of a Piecewise Quadratic Function Arising in Production Scheduling

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 ...
GitHub

Zero gradient when using jnp.piecewise inside an ODE

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, ...
JSTOR Daily

A Complete Classification of the Piecewise Monotone Functions on the Interval

This is a preview. Log in through your library . Abstract We define two functions f and g on the unit interval [0, 1] to be strongly conjugate $\operatorname{iff}$ there is an order-preserving ...
IEEE

Curvature-Based Piecewise Linear Approximation Method of GELU Activation Function in Neural Networks

Abstract: Artificial neural networks (ANNs) rely significantly on activation functions for optimal performance. Traditional activation functions such as ReLU and Sigmoid are commonly used. However, ...
IEEE

Flex-SFU: Activation Function Acceleration with Non-Uniform Piecewise Approximation

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