Use inheritance with BetaEnsemble as a parent class whose children are Hermite, Laguerre...

[guilgautier]

Is your feature request related to a problem? Please describe. As of now, class BetaEnsemble class is used as a big object to instanciate Hermite, Laguerre ... This is not very natural to use nor easy to maintain, there are too many

if ...:
elif ...:

The call to sample() method is not very handy to use, see also #29

Describe the solution you'd like

• Use BetaEnsemble as parent class with children would be HermiteEnsemble LaguerreEnsemble
• In the spirit of the FiniteDPP class which has .sample_exact() and .sample_mcmc make the distinction between the full matrix and banded samplers, for instance .sample_full_model() and .sample_banded_model().

Describe alternatives you've considered NTR

Additional context The result could look like

hermite = HermiteEnsemble(beta=2)
hermite.sample_full_model()
hermite.sample_banded_model()

[guilgautier]

Need to update:

• notebooks beta_ensembles and Tuto_DPPy
• figures in documentation

[guilgautier]

• [x] figures in documentation
• [ ] notebooks beta_ensembles and Tuto_DPPy

[guilgautier]

Need to update

• [x] figures in documentation
• [x] notebook Tuto_DPPy with a .md version to see figures 😃
• [ ] notebook beta_ensembles