Applying a 1D median filter to a 3D DataArray by leveraging xarray's apply_ufunc() functionality

Currently, I have a 3-dimensional DataArray using xarray and I am looking to apply a 1-dimensional filter along a specific dimension. Specifically, I aim to utilize the scipy.signal.medfilt() function in a 1-dimensional manner.

My current implementation involves the following code:

for sample in data_raw.coords["sample"]:
    for experiment in data_raw.coords["experiment"]:
        data_filtered.loc[sample,experiment,:] = signal.medfilt(data_raw.loc[sample,experiment,:], 15)

(The dimensions of my data array are "sample", "experiment", and "wave_number". This code applies a filter along the "wave_number" dimension.)

However, this method is quite time-consuming and I suspect that looping through coordinates may not be the most efficient approach. Therefore, I am considering using the xarray.apply_ufunc() function:

xr.apply_ufunc(np.linalg.norm, data, kwargs={"axis": 2}, input_core_dims=[["wave_number"]])

(This computes the vector's length along the "wave_number" dimension.)

In a previous instance, I looped through coordinates as well.

When I attempt to use:

xr.apply_ufunc(signal.medfilt, data_smooth, kwargs={"kernel_size": 15})

The resulting data array consists only of zeroes, likely due to applying a 3D median filter with NaN entries present in the data array. It seems evident that I need to provide a 1D array to the scipy.signal.medfilt() function, but unfortunately, there is no option to specify an axis for filtering compared to numpy.linalg.norm().

Given these challenges, how can I efficiently apply a 1D median filter without iterating through coordinates?

Answer №1

It seems that the correct way to use it is as follows:

xr.apply_ufunc(signal.medfilt, data_smooth, kwargs={"kernel_size": 15}, input_core_dims = [['wave_number']], vectorize=True)

By setting vectorize = True, you are allowing your input function to be applied to slices of your array while preserving the core dimensions.

Although the documentation mentions this:

This option is available for convenience, but using a pre-vectorized function is usually faster

since the implementation essentially involves a for loop. Despite this, I found better speed results compared to creating my own loops.

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