  Precise estimates of the nucleon charges $g_A$, $g_S$ and $g_T$ are needed in
many phenomenological analyses of SM and BSM physics. In this talk, we present
results from two sets of calculations using clover fermions on 9 ensembles of
2+1+1-flavor HISQ and 4 ensembles of 2+1-flavor clover lattices. We show that
high statistics can be obtained cost-effectively using the truncated solver
method with bias correction and the coherent source sequential propagator
technique. By performing simulations at 4--5 values of the source-sink
separation $t_{\rm sep}$, we demonstrate control over excited-state
contamination using 2- and 3-state fits. Using the high-precision 2+1+1-flavor
data, we perform a simultaneous fit in $a$, $M_\pi$ and $M_\pi L$ to obtain our
final results for the charges.
