In this paper, we initiate the study of the approximability of the facility location problem in a distributed setting. In particular, we explore a trade-off between the amount of...
Recently, significant advances have been made in formalised mathematical texts for large, demanding proofs. But although such large developments are possible, they still take an i...
Autosophy, an emerging new science, explains "Self-assembling Structures", such crystals or living trees, in mathematical terms. This research provides a new mathematica...
Various alternatives have been developed to improve the Winner-Takes-All (WTA) mechanism in vector quantization, including the Neural Gas (NG). However, the behavior of these algo...
Aree Witoelar, Michael Biehl, Anarta Ghosh, Barbar...
In this paper connected operators from mathematical morphology are extended to a wider class of operators, which are based on connectivities in higher-dimensional spaces, similar ...