Breaking multiple forms of view invariance

View-Invariance in Action Recognition

Automatically understanding human actions using motion trajectories derived from video sequences is a very challenging problem. Since an action takes place in 3-D, and is projected on 2-D image, depending on the viewpoint of the camera, the projected 2-D trajectory may vary. Therefore, the same action may have very different trajectories, and trajectories of different actions may look the same....

On gauge invariance and spontaneous symmetry breaking

We show how the widely used concept of spontaneous symmetry breaking can be explained in causal perturbation theory by introducing a perturbative version of quantum gauge invariance. Perturbative gauge invariance, formulated exclusively by means of asymptotic fields, is discussed for the simple example of Abelian U(1) gauge theory (Abelian Higgs model). Our findings are relevant for the electro...

Renormalization, Symmetry Breaking, and Discrete Scale Invariance

One of the most basic applications of quantum mechanics is the study of a two body system with a spherically symmetric interaction. This problem is characterized simply by giving the mass of each particle as well as the inter-particle potential V (r) which is a function of the inter-particle separation only. This problem can be reduced in a straightforward way to a simpler one particle problem ...

Multiple invariance ESPRIT

ESPRIT is a recently developed technique for highresolution signal parameter estimation with applications to direction-of-arrival estimation and time series analysis. By exploiting invariances designed into the sensor array, parameter estimates are obtained directly, without knowledge of the array response and without computation or search of some spectral measure. The original formulation of E...

Trans-Planckian signals from the breaking of local Lorentz invariance