Statistical and Computational Methods in Data Analysis

Fission barriers and probabilities of spontaneous fission for elements with Z≥ 100

“…Present standard are least-squares (χ 2 ) fits started in [108] and steadily extended to include more and more data, for recent examples see, e.g., [100,109]. The least-squares (χ 2 ) fits and subsequent analysis of extrapolation errors as well as correlations are a standard technique and well documented at several places [92,110,111]. The tasks is to optimise a set of model parameters p = (p 1 , ..., p N p ) such that a representative set of observables {Ô i , i = 1...N d } is optimally reproduced.…”

“…the rescaled version of a parameter p is p rescal = (p − p SV−bas )/∆p SV−min . This implies that the interval of rescaled force parameters [−1, +1] represents the range of reasonable parameters for which the reproduction of data remains nearly as good as for the minimum (χ 2 growing at most by one unit [110,111,92]). …”

Estimating horizontal diffusivity in the East Sea (Sea of Japan) and the northwest Pacific from satellite‐tracked drifter data

“…The major and minor principal axes components of the diffusivity tensor k• and k2, k• -> k 2, respectively, can be calculated using [Brandt, 1976] k with the regular axes estimates kxx and kyy. We suggest that the minor principal axes estimates k 2 and k* 2 are the most reliable estimates of the eddy diffusivity that can be extracted from drifter data.…”

On Grover’s search algorithm from a quantum information geometry viewpoint

“…In the continuous approximation, such sequence of quantum unitary operations leads to the output state |ψ (θ) in (30). Such quantum mechanical wave-vector is such that its Fisher information function F (θ) [39] is independent of the parameter θ (it is a constant quantity),…”