Abstract: Conventional loss functions for gradient descent are designed mainly to assess output quality, with limited attention to gradient behavior. This study identifies the gradient inconsistency ...

ABSTRACT: This paper presents derivation of micro and macro conservation and balance laws and the constitutive theories for the linear elastic micromorphic theory, in which elasticity is considered ...

Learn to choose coordinate systems, visualize multivariable functions, and parameterize curves. You can use these live scripts as demonstrations in lectures, class activities, or interactive ...

Please see https://docs.rs/rootfinder. Licensed under either of Apache License, Version 2.0 or MIT license at your option. Unless you explicitly state otherwise, any ...

Abstract: In this article, we propose a distributional policy-gradient method based on distributional reinforcement learning (RL) and policy gradient. Conventional RL algorithms typically estimate the ...

Whenever Roser Giné needed help with her math homework as a child, she turned to a world-renowned research mathematician who had a major influence on modern probability theory and statistics: her late ...

Finding the extrema of a multivariable function is an essential skill in calculus and applied mathematics. This process allows you to determine the minima and maxima of a function across multiple ...

This paper covers the concept of a conservative vector field, and its application in vector physics and Newtonian mechanics. Conservative vector fields are defined as the gradient of a scalar-valued ...