The Group Shop Scheduling Problem (GSP) is a generalization of the classical Job Shop and Open Shop Scheduling Problems. In the GSP there are m machines and n jobs. Each job consists of a set of operations, which must be processed on specified machines without preemption. The operations of each job are partitioned into groups on which a total precedence order is given. The problem is to order t...

We propose a simple method that uses a gradient shadow pattern (GSP) to measure the refractive index nL of liquids. A light source generates a "dark-bright-dark" GSP when it is projected through through the back of a transparent, rectangular block with a cylindrical chamber that is filled with a liquid sample. We found that there is a linear relationship between nL and the proportion of the bri...

In this paper, we consider the problem of recovering random graph signals with complex values. For general Bayesian estimation complex-valued vectors, it is known that widely-linear minimum mean-squared-error (WLMMSE) estimator can achieve a lower (MSE) than linear MSE (LMMSE) estimator. Inspired by WLMMSE estimator, in paper develop signal processing (GSP)-WLMMSE which minimizes among estimato...

1 Theoretical Astrophysics, California Institute of Technology, Mail Code 130-33, Pasadena, CA 91125 [email protected] 2 Department of Astronomy and Astrophysics, KICP, & EFI, The University of Chicago, 5640 South Ellis Ave., Chicago, IL 60637 3 Harvard-Smithsonian Center for Astrophysics, 60 Garden Street, Cambridge, MA 02138 4 Space Research Institute, 8432 Profsojuznaya St., GSP-7, Moscow ...

Sequential pattern mining is an important data mining problem with broad applications. I t is challenging since one may need to examine a combinatorially explosive number of possible subsequence patterns. Most of the previously developed sequential pattern mining methods follow the methodology of A priori which may substantially reduce the number of combinations to be examined. Howeve6 Apriori ...

Abstract Hyperspectral imaging has broad applications and impacts in areas including environmental science, weather, geo/space exploration. The intrinsic spectral–spatial structures potential multi-level features different frequency bands make multilayer graph an intuitive model for hyperspectral images (HSI). To study the underlying characteristics of HSI to take advantage signal processing (G...

In recent works by Singer, Douglas and Gopakumar and Gross an application of results of Voiculescu from non-commutative probability theory to constructions of the master field for large N matrix field theories have been suggested. In this note we consider interrelations between the master field and quantum groups. We define the master field algebra and observe that it is isomorphic to the algeb...

In this paper we present and state evidence for a conjecture on the existence and properties of new vectors for generic irreducible admissible representations of GSp(4, F ) with trivial central character for F a nonarchimedean field of characteristic zero. To summarize the conjecture, let O be the ring of integers of F and let P be the prime ideal of O. We define, by a simple formula, a sequenc...

Identification and characterization of crucial gene target(s) that will allow focused therapeutics development remains a challenge. We have interrogated the putative therapeutic targets associated with the transcription factor Grainy head-like 2 (GRHL2), a critical epithelial regulatory factor. We demonstrate the possibility to define the molecular functions of critical genes in terms of their ...