systematic uncertainties from fix parameters.

[jiangyi15]

Propagate uncertainties from fix params to fit params using AD.
The minimal condition

$$- \frac{\partial \ln L(a,b)}{\partial a} = 0$$

is a implicit function $a(b)$. The jacobian is

$$\frac{\partial a}{\partial b} = - （\frac{\partial^2 \ln L}{\partial a \partial a})^{-1} \frac{\partial^2 \ln L}{\partial a \partial b}.$$

The uncertainties from fix paramters $b$, can be propagete to $a$ as

$$V_a = \frac{\partial a}{\partial b} V_b \frac{\partial a}{\partial b}.$$

V = config.attach_fix_params_error({"A_mass": 0.01})

Then V
will be added to config.inv_he.
The config.params_trans() will include the uncertainties of fix parameters.
To solve the systematic uncertainties only, set config.inv_he=None first.

[codecov]

Codecov Report

Patch coverage: 88.09% and project coverage change: +0.02% 🎉

Comparison is base (c2ea2d5) 76.18% compared to head (11cde8a) 76.21%.

Additional details and impacted files

@@            Coverage Diff             @@
##              dev     #111      +/-   ##
==========================================
+ Coverage   76.18%   76.21%   +0.02%     
==========================================
  Files         108      108              
  Lines       15855    15894      +39     
  Branches     2971     2981      +10     
==========================================
+ Hits        12079    12113      +34     
- Misses       3081     3084       +3     
- Partials      695      697       +2     

Flag	Coverage Δ
unittests	76.21% <88.09%> (+0.02%)	⬆️

Flags with carried forward coverage won't be shown. Click here to find out more.

Files Changed	Coverage Δ
tf_pwa/amp/core.py	76.41% <80.00%> (+<0.01%)	⬆️
tf_pwa/config_loader/config_loader.py	68.37% <88.88%> (+0.66%)	⬆️
tf_pwa/tests/test_amp.py	100.00% <100.00%> (ø)
tf_pwa/tests/test_full.py	100.00% <100.00%> (ø)

☔ View full report in Codecov by Sentry.
📢 Have feedback on the report? Share it here.