Filtering is a standard technique for fast approximate string matching in practice. In filtering, a quick first step is used to rule out almost all positions of a text as possible starting positions for a pattern. Typically this step consists of finding the exact matches of small parts of the pattern. In the followup step, a slow method is used to verify or eliminate each remaining position. Th...

Paper presents a simplistic approach towards the detection and dynamics analysis of volcanic eruptions represented as unevenly spaced spatio-temporal time series of satellite retrieved hot spots. The paper discusses isolation and interpolation of hot spots data produced by Nightfire algorithm for the purposes of short-term volcanic activity ARIMA based forecasting. The case study for Chirpoi Sn...

Visualizing time series data is useful to support discovery of relations and patterns in financial, genomic, medical and other applications. In most time series, measurements are equally spaced over time. This paper discusses the challenges for unevenly-spaced time series data and presents four methods to represent them: sampled events, aggregated sampled events, event index and interleaved eve...

We derive a simple error estimate for equally spaced, polynomial interpolation of power series that does not require the uniform bounds on derivatives of the Cauchy remainder. The key steps are expressing Newton coefficients in terms of Stirling numbers S(i, j) of the second kind and applying the concavity of lnS(i, j).

The current study manipulated how frequently different problems were practiced during a first day of practice, with the more frequent items being more closely spaced. Fitting the data to a skill acquisition model, we find that greater spacing between items is associated with an increased probability of transitioning to more efficient phases of performance, but with a shallower speedup within ea...