We propose the use of the Gabriel graph for the exploratory analysis of potentially high dimensional labeled data. Gabriel graph is a subgraph of the Delaunay triangulation, which connects two data points vi and vj for which there is no other point vk inside the open ball with diameter [vivj ]. If all the Gabriel neighbors of a datum have a different class than its own, this datum is said to be...

Ewa Szalowska ([email protected]) Martijn Dijkstra ([email protected]) Marieke G.L. Elferink ([email protected]) Desiree Weening ([email protected]) Marcel de Vries ([email protected]) Marcel Bruinenberg ([email protected]) Annemieke Hoek ([email protected]) Han Roelofsen ([email protected]) Geny M.M. Groothuis ([email protected]) Roel J. Vonk (r.j....

In his 1961 paper, Marcel Golay showed how the search for pairs of binary sequences of length n with complementary autocorrelation is at worst a 2 3n 2 −6 problem. Andres, in his 1977 master’s thesis, developed an algorithm which reduced this to a 2 n 2 −1 search and investigated lengths up to 58 for existence of pairs. In this paper, we describe refinements to this algorithm, enabling a 2 n 2 ...

The paper by Marcel Fratzscher investigates capital flows to emerging market economies (EMEs) prior to, during and after the global financial crisis (GFC). It considers the relative importance of ‘push’ versus ‘pull’ factors in driving capital flows, where ‘push’ factors are external variables such as US macroeconomic news and ‘pull’ factors are internal variables such as a country’s institutio...

There has been a small revival of natural law thinking in Protestant churches and theology since 1990. This article poses the question what kind ethics German American theologian, philosopher ethicist Paul Tillich espoused. More specifically theory did he hold? The methodological hermeneutical key is based on reading thoroughly from Tillich’s work, e.g. Morality Beyond; Love, Power Justi...

Quantum low-density parity check (LDPC) codes such as generalized toric codes with finite rate suggested by Tillich and Zémor offer an alternative route for quantum computation. Here, we study LDPC codes and show that any family of LDPC codes, quantum or classical, where distance scales as a positive power of the block length, has a finite error threshold. Based on that, we conclude that quantu...

Suggested Reading: Jenkinson, D. S. and J. N. Ladd. 1981. Microbial biomass in soil: Measurement and turnover. p. 415-471. In E. A. Paul and J. N. Ladd (eds.), Soil Biochemistry, Volume 5. Marcel Dekker, New York. Tunlid, A and D. C. White. 1992. Biochemical analysis of biomass, community structure, nutritional status, and metabolic activity of microbial communities in soil. p. 229-262. In G. S...

Delaunay and Gabriel graphs are widely studied geometric proximity structures. Motivated by applications in wireless routing, relaxed versions of these graphs known as Locally Delaunay Graphs (LDGs) and Locally Gabriel Graphs (LGGs) have been proposed. We propose another generalization of LGGs called Generalized Locally Gabriel Graphs (GLGGs) in the context when certain edges are forbidden in t...