Abstract: Based on the fast kernel entropy optimization independent component analysis and the minimum conditional entropy, this paper proposes a harmonic source localization method which aims at accurately estimating harmonic currents and identifying harmonic sources. The injected harmonic currents are estimated by the fast kernel entropy optimization independent component analysis (FKEO-ICA) ...

The zero-entropy-density conjecture states that the entropy density defined as s ≔ lim N→∞ S N /N vanishes for all translation-invariant pure states on the spin chain. Or equivalently, S N , the von Neumann entropy of such a state restricted to N consecutive spins, is sublinear. In this paper it is proved that this conjecture cannot be sharpened, i.e., translation-invariant states give rise to ...

Recognizing genes with distinctive expression levels can help in prevention, diagnosis and treatment of the diseases at the genomic level. In this paper, fast Global k-means (fast GKM) is developed for clustering the gene expression datasets. Fast GKM is a significant improvement of the k-means clustering method. It is an incremental clustering method which starts with one cluster. Iteratively ...

We study the von Neumann entropy asymptotics of pure translationinvariant quasi-free states of d-dimensional fermionic systems. It is shown that the entropic area law is violated by all these states: apart from the trivial cases, the entropy of a cubic subsystem with edge length L cannot grow slower than Ld−1 ln L. As for the upper bound of the entropy asymptotics, the zero-entropy-density prop...

We consider the use of second order statistics in two-stage universal source coding. (Examples of two-stage universal codes include the weighted universal vector quantization (WWQ) 12, 3, 41, weighted universal bit allocation (WUBA) [5, 41, and weighted universal transform coding (WUTC) [6, 41 algorithms.) The second order statistics are incorporated in two-stage universal source codes in a man...