ABSTRACT Classifying the morphologies of galaxies is an important step in understanding their physical properties and evolutionary histories. The advent large-scale surveys has hastened need to develop techniques for automated morphological classification. We train test several convolutional neural network (CNN) architectures classify both a 3-class (elliptical, lenticular, spiral) 4-class (+ir...

A perfect (t, w, v; m)-threshold scheme is a type of combinatorial design that provides a way of distributing partial information (chosen from a set of v points called shadows) to w participants, so that any t of them can easily calculate one of m possible keys, but no subset of fewer than t participants can determine any partial information regarding the key. In this paper, we give a survey of...

For odd integer m ≥ 3 and t = 0, 1, . . . , m−1 2 , we define Family V (t) to be a set of size 2 containing binary sequences of period 2 − 2. The nontrivial correlations between sequences in Family V (t) are bounded in magnitude by 2+2. Families V (0) and V (1) compare favourably to the small and large Kasami sets, respectively. So far, the correlation distribution of Family V (t) is only known...

Let G be a graph of minimum degree at least two with no induced subgraph isomorphic to K1,6. We prove that if G is not isomorphic to one of four exceptional graphs, then it is possible to assign twoelement subsets of {1, 2, 3, 4, 5} to the vertices of G in such a way that for every i ∈ {1, 2, 3, 4, 5} and every vertex v ∈ V (G) the label i is assigned to v or one of its neighbors. This is motiv...

Analysis of similarities (ANOSIM) is a robust non-parametric hypothesis-testing framework for differences in resemblances among groups samples. To date, the generalisation and use ANOSIM to analyse various 2-way nested crossed designs with unordered or ordered factors has been described. This paper describes how tests may be extended modified analysis 3-way designs, including introduction diffe...