The distribution of r-patterns is an important aspect of pseudorandomness for periodic sequences over finite field.The aim of this work is to study the distribution of r-patterns in the Kerdock-code binary sequences and the highest level sequences of primitive sequences over Z2l .By combining the local Weil bound with spectral analysis,we derive the upper bound of the deviation to uniform distr...

The images show kernel density sum of all ship traffic close to Stavanger in a given time period. These plots gives a good quantitative measurement on the volume of traffic in the different areas. If the user investigates how the traffic volume changes over time, however, a side by side presentation will only provide a qualitative idea on changes. Changes (or differences) are made explicit by c...

We present a study of two X-ray bursters in the Galactic Center field with the ART-P telescope onboard GRANAT. During 1990-1992 approximately 100 X-ray bursts were detected from the Galactic Center field and most of them were identified with the two persistent sources, A1742-294 and SLX1744-299/300. The burst recurrence times were found to be ∼ 2.4 and ∼ 4.6 hours, respectively, which is signif...

In this paper we propose a method for continuous learning of simple visual concepts. The method continuously associates words describing observed scenes with automatically extracted visual features. Since in our setting every sample is labelled with multiple concept labels, and there are no negative examples, reconstructive representations of the incoming data are used. The associated features ...

The paper introduces a new framework for learning probability density functions. A theoretical analysis suggests that we can tailor a distribution for a class of tasks by training it to fit a small subsample. Experimental evidence is given to support the theoretical analysis.

Snow crystals consist of many different types of ice particles. Typical radar measurements observe only bulk properties of all types of ice particles present in a radar volume. Due to their difference in radar cross-section, larger particles will reflect more power of the transmitted radar signal, than small particles. If small and large particles are present in the same radar volume with compa...

Rotating machines can generate signals composed of sinusoids equispaced in frequency. The spectrum of such signals is useful in detecting faults. Traditional Fourier–based spectrum estimation methods are often not sufficient due to the nonstationarity of measured signals. We propose maximum likelihood method for estimating the constant spacing of frequencies, when the number of samples is to be...

We consider the problem of density estimation when the data is in the form of a continuous stream with no fixed length. In this setting, implementations of the usual methods of density estimation such as kernel density estimation are problematic. We propose a method of density estimation for massive datasets that is based upon taking the derivative of a smooth curve that has been fit through a ...