l2_estAB {AIUQ} | R Documentation |
Compute l2 loss for dynamic image structure function(Dqt) using A(q) and B are both estimated within the model.
l2_estAB(
param,
Dqt_cur,
q_cur,
d_input,
model_name,
msd_fn = NA,
msd_grad_fn = NA
)
param |
a vector of natural logarithm of parameters |
Dqt_cur |
observed dynamic image structure function. See 'Details'. |
q_cur |
wave vector in unit of um^-1 |
d_input |
sequence of lag times |
model_name |
model name for the fitted model, options from ('BM','OU', 'FBM',OU+FBM','user_defined') |
msd_fn |
msd_fn user defined mean squared displacement structure (MSD), a
function of |
msd_grad_fn |
user defined MSD gradient structure, a function of
|
Dynamic image structure function(Dqt) can be obtained from ensemble average of absolute values squared of Four transformed intensity difference:
D(q,\Delta t) = \langle |\Delta \hat{I}(q,t,\Delta t)|^2\rangle
See 'References'.
Squared differences between the true Dqt and the predicted Dqt.
Yue He [aut], Xubo Liu [aut], Mengyang Gu [aut, cre]
Gu, M., He, Y., Liu, X., & Luo, Y. (2023). Ab initio uncertainty quantification in scattering analysis of microscopy. arXiv preprint arXiv:2309.02468.
Gu, M., Luo, Y., He, Y., Helgeson, M. E., & Valentine, M. T. (2021). Uncertainty quantification and estimation in differential dynamic microscopy. Physical Review E, 104(3), 034610.
Cerbino, R., & Trappe, V. (2008). Differential dynamic microscopy: probing wave vector dependent dynamics with a microscope. Physical review letters, 100(18), 188102.