We discuss different ways of generating k-subsets of an n-set, as well as of permutations, matrices and flags over the finite field Fq . Connections with the Markov Chain approach and Bruhat decomposition are established. The black box groups approach is defined. No previous knowledge of the subject is assumed.

We describe the Crowd4U initiative, which aims at constructing an all-academic open and generic platform for microvolunteering and crowdsourcing worldwide. Crowd4U provides a microtask-based platform in which most workers are volunteers at universities and other research institutions. Crowd4U is open in the sense that the platform can interact with other platforms, researchers can register thei...

DEA models treat the DMU as a “black box.” Inputs enter and outputs exit, with no consideration of the intervening steps. Consequently, it is di(cult, if not impossible, to provide individual DMU managers with speci;c information regarding the sources of ine(ciency within their DMUs. We show how to use DEA to look inside the DMU, allowing greater insight as to the sources of organizational ine(...

Explaining the behavior of a black box machine learning model at the instance level is useful for building trust. However, what is also important is understanding how the model behaves globally. Such an understanding provides insight into both the data on which the model was trained and the generalization power of the rules it learned. We present here an approach that learns rules to explain gl...

In this paper we present black-box models of work-load diierence and use them to develop quantitative methods for the design of benchmark suites. The proposed design methods (the method of optimum subsets , and the method of optimum weights) combine a new concept of program space coverage functions, and the criteria of completeness, redundancy, density, and granularity of benchmark suites.

In this paper, we will consider hypersingular integrals as they arise by transforming elliptic boundary value problems into boundary integral equations. First, local representations of these integrals will be derived. These representations contain so-called finite-part integrals. In the second step, these integrals are reformulated as improper integrals. We will show that these integrals can be...

The research question this report addresses is: how, and to what extent, those directly involved with the design, development and employment of a specific black box algorithm can be certain that it is not unlawfully discriminating (directly and/or indirectly) against particular persons with protected characteristics (e.g. gender, race and ethnicity)?

Bioinspired technology breakthroughs of insect inspired navigation are enabling small aircraft that will allow exploration of Mars. The bioinspired technologies under development consist of a bioinspired navigation-control system, human vision inspired and birds of prey inspired search and track systems. Two classes of new missions for Mars exploration: 1) the long range exploration missions an...