A theoretical study of vibrational spectral diffusion in aqueous NaBr solutions is presented by means of ab initio molecular dynamics simulations and time series analysis. The OD stretch frequencies of deuterated water hydrogen bonded to the bromide ions are found to be higher than those in the bulk which implies a somewhat weaker Br–water hydrogen bonds than those between water molecules. The ...

ÐThis paper deals with the computation of reciprocals, square roots, inverse square roots, and some elementary functions using small tables, small multipliers, and, for some functions, a final alargeo (almost full-length) multiplication. We propose a method, based on argument reduction and series expansion, that allows fast evaluation of these functions in high precision. The strength of this m...

Abstract. A time integration method for the resolution of ordinary and partial differential equations is proposed. The method consists in computing a formal solution as a (eventually divergent) time series. Next, the Borel resummation method is applied to deduce an (sectorial) analytical solution. The speed and spectral properties of the scheme are analyzed through some examples. Applications t...

Time encoding is a formal method of mapping amplitude information into a time sequence. We shaw that under simple conditions, bandlimited stimuli encoded with an integrate-and-fire neuron with an absolute refractory period can be recovered loss-free from the neural spike train at its output. We provide an algorithm for perfect recovery and derive conditions for its convergence.

Abstract With the rapid development of information age, a large amount data is used in popular research areas such as mining. Missing has very serious impact on both process and result mining, it important to find out how fill missing values accurately efficiently. In this paper, we propose method optimally based backpropagation evaluation functions for non-time-series data. Based target value ...

In this paper we consider the problem of testing for parameter changes in ARIMA models based on the cusum test. The proposed test procedure is applicable to testing for the change from stationary models to nonstationary models, and vice versa. The idea is to transform the time series via differencing to make the whole time series as a combination of stationary subseries. For this task, we propo...