################# Sliding Measures ################# Sliding measures [1]_ define the distance between time series :math:`X` and time series :math:`Y` by finding the largest correlation between :math:`X` and all shifted versions of :math:`Y` , where each shifted version is created by moving all entries in :math:`Y` towards right by :math:`s` positions. In this process, we create a cross-correlation sequence, :math:`CC_{w}(\vec{x}, \vec{y})` with :math:`w\in{1, 2, ..., 2m-1}` of length :math:`(2m-1)` that contains the inner product of two time series in every possible shift. Normalized Cross-Correlation ==================================== .. automodule:: tsdistance.sliding .. autofunction:: NCC Biased Normalized Cross-Correlation ==================================== .. automodule:: tsdistance.sliding .. autofunction:: NCCb Unbiased Normalized Cross-Correlation ====================================== .. automodule:: tsdistance.sliding .. autofunction:: NCCu Coefficient Normalized Cross-Correlation ========================================= .. automodule:: tsdistance.sliding .. autofunction:: NCCc **Reference** .. [1] John Paparrizos et al. “Debunking Four Long-Standing Misconceptions ofTime-Series Distance Measures”. In:ACM SIGMOD(2020)