Topics are subject to change and rearrangement! (We may also not get to all the topics listed)
Maximum likelihood with mathematical models - Lecture (9/9/2019)
Parameter estimation coding session - Lab (9/11/2019)
Main ideas
How to go from a question to a diagram to equations to code?
What kind of model to use under different circumstances?
To Do: Everyone bring a specific question that they might want to use a model to answer, and we’ll workshop it together for the 9/16/19 class.
Think about what knowledge about the system you have—what are the causal processes? What features/variables/processes might be important to include to answer your question? What do you think we might be able to ignore or simplify out?
Also, if you think you might want to estimate parameters for the model, think a about what kind of data you might want to use! What can you measure/observe, e.g. through epidemiological studies or biological experiments?
We will go through each question/problem together and discuss how we might build a model that can answer that question, what the assumptions and limitations of different kinds of models are, etc.
Identifiability and parameter uncertainty - Lecture
Useful post on Wald/FIM vs. Likelihood-based confidence intervals
Intro to Bayesian Approaches to Parameter Estimation, MCMC - Lecture
Intro to ggplot and collection of examples: Lab - our collection of ggplot examples, Dataset
(moved this up since it might be useful for making data sets we can play with for the ML and networks sections below)
Using R to pull data using API’s - Twitter, Facebook, and Google Maps
Collecting and working with twitter data
An interesting article about the ethics of using public data and our perception of privacy