Design patterns are rarely used on their own. They are almost always to be found composed with each other in real applications. So it is crucial that we can reason about their compositions. In our previous work, we defined a set of operators on patterns so that pattern compositions can be represented as expressions on patterns. In this paper, we investigate the algebraic properties of these ope...

In many engineering applications it is common to find optimization problems where the cost function and/or constraints require complex simulations. Though it is often, but not always, theoretically possible in these cases to extract derivative information efficiently, the associated implementation procedures are typically non-trivial and time-consuming (e.g., adjoint-based methodologies). Deriv...

Local binary pattern (LBP) is a simple gray scale descriptor to characterize the local distribution of the grey levels in an image. Multi-resolution LBP and/or combinations of the LBPs have shown to be effective in texture image analysis. However, it is unclear what resolutions or combinations to choose for texture analysis. Examining all the possible cases is impractical and intractable due to...

We classify compositions avoiding a single permutation pattern of type (2, 1) according to Wilfequivalence and give the generating function for each of the Wilf classes. 2000 Mathematics Subject Classification: 05A05, 05A15

We develop a fully-automated pattern search methodology for model selection of support vector machines (SVMs) for regression and classification. Pattern search (PS) is a derivative-free optimization method suitable for low-dimensional optimization problems for which it is difficult or impossible to calculate derivatives. This methodology was motivated by an application in drug design in which r...

in this paper, a novel patch geodesic derivative pattern (pgdp) describing the texture map of a face through its shape data is proposed. geodesic adjusted textures are encoded into derivative patterns for similarity measurement between two 3d images with different pose and expression variations. an extensive experimental investigation is conducted using the publicly available bosphorus and bu-3...

A common question asked by users of direct search algorithms is how to use derivative information at iterates where it is available. This paper addresses that question with respect to Generalized Pattern Search (GPS) methods for unconstrained and linearly constrained optimization. Specifically this paper concentrates on the GPS poll step. Polling is done to certify the need to refine the curren...

There have been interesting recent developments in methods for solving optimization problems without making use of derivative (sensitivity) information. While calculus based methods that employ derivative information can be extremely eecient and very eeec-tive, they are not applicable to all MDO problems, for instance, when the function to be optimized is nondiierentiable, when sensitivity info...

background: with the increasing concern for health and nutrition, dietary fat has attracted considerable attention. the composition of fatty acids in the diet is important because they are associated with major diseases including cancers, diabetes, and cardiovascular disease. the fatty acid synthase (fasn) and stearoyl-coa desaturase (delta-9-desaturase) (scd) genes affect fatty acid compositio...