Tutorial ideas

[mmahsereci]

Here is a list of Tutorial ideas, Please edit the list if you think a certain tutorial could be useful, or add a comment to the discussion. This is just a collection of ideas, not necessarily a backlog.

General

• Quickstart (clearer quickstart to PN #419 )
• Probabilistic Numerical methods

Solver Quickstart

• Linear Solver Quickstart (Quickstart for linear solvers #511 )
• The Galerkin method
• Using Prior Information (needs Encoding prior knowledge for the solution of linear systems #526 to be figured out)

ODE

• ODE solver Quickstart
• Adaptive step-size selection for ODE filters
• Posterior uncertainties of the ODE filter
• ODE-Solvers from Scratch
• Event handling and callbacks in ODE solvers

BQ

• Integral Solver Quickstart (need hyper-param adaptation solved -> GP hyper-parameter optimization for BMC #540 )

Filtering & Smoothing

• Filtering and Smoothing Quickstart (Could one of the existing tutorial serve as a Quickstart?)
• Linear Gaussian filtering and smoothing
• Non-linear Gaussian filtering and smoothing
• Particle filtering

Linear Operator

• Linear Operators Quickstart (linops quickstart #534 )
• The Kronecker Product
• Lazy evaluation of operators

Probability

• Random Variables Quickstart (renaming randvars tutorial to quickstart #510 )

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Template Quickstart: i) quickly introduces/defines numerical problem, ii) loads example problem from probnum.zoo package iii) solves with one of the black-box wrappers using defaults, e.g., problinsolve iv) describes what the return objects are. v) potentially highlights a parameters that trades-off computation and accuracy such as maxiter.