MultiNest

[ben18785]

Created MultiNest sampler and simplified ellipsoidal nested sampling by creating an Ellipsoid class shared by both samplers. Things done:

• Created Ellipsoid class used by both methods
• Added MultiNest which uses a EllipsoidTree class to form a binary tree of ellipsoid leaves which cover the sampling domain
• Corrected some parts of ellipsoidal sampling which meant that ellipsoidal updating wasn't being triggered
• Changed name of sampler -> controller in rejection sampling notebook to avoid ambiguity
• Made a notebook that plots lots of pretty pictures of the ellipsoids produced within MultiNest and shows how the approach works really quite well for the tricky Goodwin Oscillator model

[codecov[bot]]

Codecov Report

Merging #1319 (9d949dc) into master (9052e5d) will not change coverage. The diff coverage is 100.00%.

@@            Coverage Diff             @@
##            master     #1319    +/-   ##
==========================================
  Coverage   100.00%   100.00%            
==========================================
  Files           87        88     +1     
  Lines         8933      9190   +257     
==========================================
+ Hits          8933      9190   +257     

Impacted Files	Coverage Δ
pints/_log_priors.py	100.00% <ø> (ø)
pints/_nested/_rejection.py	100.00% <ø> (ø)
pints/__init__.py	100.00% <100.00%> (ø)
pints/_nested/__init__.py	100.00% <100.00%> (ø)
pints/_nested/_ellipsoid.py	100.00% <100.00%> (ø)
pints/_nested/_multinest.py	100.00% <100.00%> (ø)
pints/_mcmc/_mala.py	100.00% <0.00%> (ø)
pints/_mcmc/_nuts.py	100.00% <0.00%> (ø)
pints/_mcmc/_dream.py	100.00% <0.00%> (ø)
pints/_mcmc/__init__.py	100.00% <0.00%> (ø)
... and 12 more

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