Invariance

Some articles on invariance:

Milnor Number - Invariance
... The Milnor number does not offer a complete invariant for function germs ... We do have that if f and g are A-equivalent then μ(f) = μ(g) ...
Leigh Page - Scientific Contributions
... relativity”, “conformal invariance”, or “conformal field theory”, is applied today as an invariance of gauge field theories for both electromagnetic and strong interactions ... The symmetry of “conformal invariance” provides a valid approximation at very high energies or short distances when particle masses can safely be ignored ...
Invariance Properties of Molecular Descriptors
... The invariance properties of molecular descriptors can be defined as the ability of the algorithm for their calculation to give a descriptor value that is independent of the particular characteristics of the ... Invariance to molecular numbering or labeling is assumed as a minimal basic requirement for any descriptor ... Two other important invariance properties, translational invariance and rotational invariance, are the invariance of a descriptor value to any translation or rotation of the molecules in the chosen ...
Lattice Field Theory
... Most quantization methods keep Poincare invariance manifest but sacrifice manifest gauge symmetry by requiring gauge fixing ... Only after renormalization can gauge invariance be recovered ... Lattice field theory differs from these in that it keeps manifest gauge invariance, but sacrifices manifest Poincaré invariance— recovering it only after renormalization ...
Surrogate Model - Invariance Properties
... algorithms, such as CMA-ES, allow to preserve some invariance properties of surrogate-assisted optimizers 1 ... Invariance with respect to monotonous transformations of the function (scaling) 2 ... Invariance with respect to orthogonal transformations of the search space (rotation) ...