Novelty is high when (mathit{Nov}(a_{t})) is close to 0. In this paper, we set maximum time lag τ to one week at which the auto cosine similarity function is around 0.1 (Figure 3(a)).
We set the maximum time lag for model search to 14 (days), and proper time lags equal to or smaller than 14 were selected, i.e. the past two-week observations were considered to predict a frequency of EQ4-4.9 of the next day.
Let l= max{l 1y,l 11,…,l 1p,l 2y,l 21,…,l 2p } be the maximum time lag, B t the set constructed by the observations of the response and the exogenous variables up to time t, f y 0,…,y l−1) the initial distribution which is not specified here, and Θ={β 10,β 1,β 20,β 2} the set of model parameters.
C H ( c, m ) = ∑ τ = 0 L − 1  H ( c, m, τ )  H ( c + 1, m, τ ) (3)Here, L is the sampling number corresponding to the maximum time lag and  H denotes A H normalized to zero mean and unity variance.The envelope of cross-channel correlation indicates the similarity between the envelopes of AM patterns in the high-frequency range, which is computed by the envelope correlogram.
The other parameter is the maximum time lag r.
In the proposed method, the networks are inferred with a priori determined maximum time lag r and a threshold θ.
We report on two practical harvesting case studies arising in agricultural contexts, based on practical data from commercial enterprises, involving minimum and maximum time lags and resource constraints.
The differences come about because: the duration of each operation is dependent upon the combination of constrained resources allocated to it, individual worker-equipment allocation is restricted, and minimum or maximum time lags can be imposed.
We find that in the latter half of a seismic cycle preceding a large Nankai Trough earthquake, an immature Nankai earthquake tends to be triggered within several years after the occurrence of a Hyuga-nada earthquake, then Tokai (Tonankai) earthquakes occur with maximum time lags of several years.
Here, x i t is the explanatory variable vector given by left y_{t-1},left y_{t-1}l_{iy}},ldots1}^{(1)},ldots, u_{t-l_{i1}}^{(1)},ldots,u_{t-1}^{(p)},ldots, u_{t-l_{in}}^{(p)}right)^{T} with l i y,l i1,…,l i p being the maximum time lags of each variable, where g i is a link function, and β i is a coefficient vector for i=1,2.
where k,l,m∈[ −χ,…,−1,0,1,…,+χ] and n=0,1,…,N−1; χ is the index of the maximum time shift (lag) between samples of a record.
