In recent years, an increased interest in the use of the spacetime cube to visualize movement data can be witnessed. However, little is known about whether the cube is truly efficient and effective to satisfactorily display complex movement datasets. The limited usability research that has been done did not lead to details on how the STC content should be designed and whether the cartographic d...

Cube Pruning is a fast method to explore the search space of a beam decoder. In this paper we present two modifications of the algorithm that aim to improve the speed and reduce the amount of memory needed at execution time. We show that, in applications where Cube Pruning is applied to a monotonic search space, the proposed algorithms retrieve the same K-best set with lower complexity. When te...

The main purpose of this paper is to popularize Danzer’s power complex construction and establish some new results about covering maps between two power complexes. Power complexes are cube-like combinatorial structures that share many structural properties with higher-dimensional cubes and cubical tessellations on manifolds. Power complexes that are also abstract polytopes have repeatedly appea...

We show that for any class of uniformly bounded functions H with a reasonable combinatorial dimension, the vast majority of small subsets of the n-dimensional combinatorial cube cannot be represented as a Lipschitz image of a subset of H, unless the Lipschitz constant is very large. We apply this result to the case when H consists of linear functionals of norm at most one on a Hilbert space.

We consider the gravitational fields generated by a cosmic string, a global monopole and a tubular matter with interior magnetic field (Safko-Witten space-time), and examine some classical and quantum effects due to these fields. We investigate the Aharonov-Bohm effect in the space-time of a cosmic string, using the loop variables. In the space-time of a global monopole, we calculate the total ...

CUBE is a generic presentation component suitable for displaying a wide variety of performance metrics for parallel programs including MPI and OpenMP applications. Program performance space is represented in a multi-dimensional space and displayed in a single integrated view. The tool allows for exploring the performance space in a scalable fashion and browsing the different kinds of performanc...

This paper evaluates the secure level of authenticated encryption Ascon against cube-like method. Ascon submitted by Dobraunig et al. is one of 16 survivors of the 3rd round CAESAR competition. The cube-like method is first used by Dinur et al. to analyze Keccak keyed modes. At CT-RSA 2015, Dobraunig et al. applied this method to 5/6-round reduced Ascon, whose structure is similar to Keccak key...