Abstract: Analysis of continuous-time piecewise linear systems based on piecewise quadratic (PWQ) Lyapunov functions typically requires continuity of these functions. Several conditions for ...

For many, having a Christmas tree (typically a pine or fir tree) in the living room is a beloved holiday tradition, and the tradition may serve not only a spiritual role but also a health benefit. A ...

A piecewise relation, at its core, is a relation that is defined by multiple sub-relations, each applying to a certain interval of the domain. These sub-relations are essentially different equations ...

Deep beneath the earth’s surface, immense pressures build within oil and gas reservoirs. Controlling this force is paramount for safe extraction. The specialised valve system known as a blowout ...

If we can fully map the structure of our brains, will we be able to understand how they work? That is the goal of researchers attempting to build a wiring diagram, or connectome, of our neural ...

When the iPhone 14 Pro models were announced in 2022, Apple surprised many with its innovative integration of software functions with the pill-shaped cutout at the top of the screen. Apple calls this ...

Abstract: Neural networks (NNs) are commonly used to approximate functions based on data samples, as they are a universal function approximator for a large class of functions. However, choosing a ...

Confused about cost functions in neural networks? In this video, we break down what cost functions are, why they matter, and which types are best for different applications—from classification to ...

Specifying piecewise functions in GETTSIM is complex and its easy to make mistakes that don't throw errors. We should have a good documentation for that. Wrong intercept. This leads to jumps in the ...