A theory of non-unitary-invertible as well as unitary canonical transformations is formulated in the context of Weyl's phase space representations. Exact solutions of the transformation kernels and the phase space propagators are given for the three fundamental canonical maps as fractional-linear, gauge and contact (point) transformations. Under the nonlinear maps a phase space representation i...

Mobile Landmark Search (MLS) recently receives increasing attention. However, it still remains unsolved due to two important issues. One is high bandwidth consumption of query transmission, and the other is the huge visual variations of query images. This paper proposes a Canonical View based Compact Visual Representation (2CVR) to handle these problems via novel three-stage learning. First, a ...

For various theories, in particular gauge field theories, the algebraic form of the Hamiltonian simplifies considerably if one writes it in terms of certain complex variables. Also general relativity when written in the new canonical variables introduced by Ashtekar belongs to that category, the Hamiltonian being replaced by the so-called scalar (or Wheeler-DeWitt) constraint. In order to ensur...

Genetic Algorithms (GAS) have been used to solve the NP-complete problems effectively such as the knapsack problem. One difficulty in applying GA to the knapsack problem is that the bit string representation of the canonical GA chromosome does not provide the direct mapping of the problem into the GA chromosome. In this paper, a new chromosome representation of the GA is proposed which is calle...

We study regression models for the situation where both dependent and independent variables are square integrable stochastic processes. Questions concerning definition and existence of the corresponding functional linear regression models and some basic properties are explored. We derive a representation of the regression parameter function in terms of the canonical components of the processes ...

When presented with an object to be manipulated, a robot must identify the available forms of interaction. How might an agent acquire this mapping from object representation to action? In this paper, we describe an approach that learns a mapping from objects to grasps from human demonstration. For a given object, the teacher demonstrates a set of feasible grasps. We cluster these grasps in term...

We study regression models for the situation where both dependent and independent variables are square integrable stochastic processes. Questions concerning definition and existence of the corresponding functional linear regression models and some basic properties are explored for this situation. We derive a representation of the regression parameter function in terms of the canonical component...