Explore: Affine Approximation

mathematics, a linear approximation is an approximation of a general function using a linear function (more precisely, an affine function). They are widely

In the field of machine learning, the universal approximation theorems state that neural networks with a certain structure can, in principle, approximate

cryptanalysis is a general form of cryptanalysis based on finding affine approximations to the action of a cipher. Attacks have been developed for block

In differential geometry, an affine connection is a geometric object on a smooth manifold which connects nearby tangent spaces, so it permits tangent vector

In mathematics, the simplicial approximation theorem is a foundational result for algebraic topology, guaranteeing that continuous mappings can be (by

differentiable curve can also be thought of as a tangent line approximation, the graph of the affine function that best approximates the original function at

improving approximate solutions for a class of problems, in which the i-th approximation (called an "iterate") is derived from the previous ones. A specific

In computer science and operations research, approximation algorithms are efficient algorithms that find approximate solutions to optimization problems

having vanishing geodesic curvature. More generally, in the presence of an affine connection, a geodesic is defined to be a curve whose tangent vectors remain

each of which the function is an affine function. (Thus "piecewise linear" is actually defined to mean "piecewise affine".) If the domain of the function