But F0 bumps don’t match accents…
Mean F0
Slope of F0
Curvature of  F0
Red=prominent syllables
Blue=other places
Slope
vs.
Mean F0
Data from the IViE corpus (Grabe, Nolan, Post)
The problem is, that the locations of accents (I.e. the position of prominent syllables) isn’t associated with any particular local shape of F0.  These are data from the IViE corpus (Grabe and company, Oxford, circa 2002).   They are local fits of polynomials to prominent (red) syllables and non-prominent places (randomly chosen between the prominent syllables).   As can be seen, the prominent and non-prominent syllables have essentially the same F0, slope, and curvature.   Thus, a Tilt-model analysis of speech will not be able to find prominent syllables by looking for bumps.