Multiparameter Polynomial Adaptive Stabilizers

Multiparameter entangled-state engineering using adaptive optics

Quantum entanglement 1 is a valuable resource in many areas of quantum optics and quantum information processing. One of the most widespread techniques for generating entangled optical states is spontaneous parametric downconversion SPDC 2–5 . SPDC is a second-order nonlinear optical process in which a pump photon is split into a pair of new photons with conservation of energy and momentum. The...

Adaptive Polynomial Multiplication

Finding the product of two polynomials is an essential and basic problem in computer algebra. While most previous results have focused on the worst-case complexity, we instead employ the technique of adaptive analysis to give an improvement in many “easy” cases where other algorithms are doing too much work. Three ideas for adaptive polynomial multiplication are given. One method, which we call...

Robust Design of Power System Stabilizers Using Adaptive Genetic Algorithms

Genetic algorithms (GAs) have been widely used for global optimization problems. The GA performance depends highly on the choice of the search space for each parameter to be optimized. Often, this choice is a problem-based experience. The search space being a set of potential solutions may contain the global optimum and/or other local optimums. A bad choice of this search space results in poor ...

Adaptive Learning of Polynomial Networks

Literature Review: Adaptive Polynomial Multiplication

While output-sensitive algorithms have gained a fair amount of popularity in the computer algebra community, adaptive algorithms whose difficulty measure is something more subtle than the size of the input or output seem to be less common. Rather, different representations of structures (e.g. polynomials, matrices) are studied which may take advantage of some difficulty measure. In this spirit,...