The complex Ginibre ensemble is the distribution of an N×N non-Hermitian random matrix over C with i.i.d. Gaussian entries normalized to have mean zero and variance 1/N. Unlike unitary ensemble, for which eigenvectors are distributed according Haar measure on compact group U(N), independently eigenvalues, geometry eigenbases not particularly well understood. In this paper we systematically stud...

The development of novel analytical tools to investigate the structure of music works is central in current music information retrieval research. In particular, music summarization aims at finding the most representative parts of a music piece (motifs) that can be exploited for an efficient music database indexing system. Here we present a novel approach for motif discovery in music pieces base...

We analyze the largest eigenvalue and eigenvector for the adjacency matrices of sparse random graph. Let λ1 be the largest eigenvalue of an n-vertex graph, and v1 be its corresponding normalized eigenvector. For graphs of average degree d log n, where d is a large enough constant, we show λ1 = d log n + 1 ± o(1) and 〈1, v1〉 = √ n ( 1−Θ ( 1 logn )) . It shows a limitation of the existing method ...

Authentication is a key challenge to ascertain effectively, in present era. Many techniques have been introduced so far, but most of them fail due to certain shortcomings. Face recognition has bloomed as robust face recognition based technique among other biometric based authentication approaches. This paper aims at effectively recognizing a given face using eigenface and eigenvector method. Th...