Regenerative agriculture almost always involves animals, but certainly involves poly-culture. Jeff lawton is the best living example of a practicioner, joel salatin, white oak pastures and mark shepherd would be the top americans.

The principle is that you are buikding soil, simply reducing erosion is not enough. Rotational grazing, alley cropping, silvopasture, protecting riparian zones are some additional topics for research that are conservative and soil building which also reduce inputs.