# PHY2603H F Inverse Theory

## Official description

Evolving from year to year, but addressing the problems of fitting physical models (both discreet and continuous) to data, and roughly comprising:

* What is inverse theory in physics and geophysics? When do data-consistent models even exist?
* Multivariate regression modelling of discrete models, Bayesian approaches, maximum likelihood estimation, with errors and
* hypothesis testing, both classical and resampling(e.g. bootstrap).
* Continuous models where spatial resolution is a meaningful concept (Backus-Gilbert theory).
* The Singular Value Decomposition approach to modelling.
* Singular Value Decompositions, exotic norms such as L-1, L-infinity.
* Methods for non-linear modelling: e.g. Markov Chain Monte Carlo
(MCMC), simulated annealing, genetic algorithms.

Prerequisite
Recommended: PHY308/408S & this course uses MATLAB as its programming language, and expects some knowledge on complex analysis.
Textbook
                            Online notes will be made available as we cover the course material.

course title
PHY2603H F
session
fall
group
specialized course
time and location
Time: Mondays and Wednesdays, 11 am - noon, MP 505
instructor

#### Delivery Methods

In Person

A course is considered In Person if it requires attendance at a specific location and time for some or all course activities.*.

* Subject to adjustments imposed by public health requirements for physical distancing.

Online - Synchronous
A course is considered Online Synchronous if online attendance is expected at a specific time for some or all course activities, and attendance at a specific location is not expected for any activities or exams.
Asynchronous
A course is considered Asynchronous if it has no requirement for attendance at a specific time or location for any activities or exams.