Simon Mak | Integrating Science into Stats Models

Simon Mak | Integrating Science into Stats Models #statistics #science #ai It’s a common dictum that statisticians need to incorporate domain knowledge into their modeling and the interpretation of their results. But how deeply can scientific principles be embedded into statistical models? Prof. Simon Mak (Duke University) is pushing this idea to the limit by integrating fundamental physics, physiology, and biology into both the models and model inference. This includes Simon’s joint work with Profs. David Dunson and Ruda Zhang (also of Duke University). Scientific reasoning AND stats. What more could we ask for? Enjoy! Watch it on.... YouTube: https://youtu.be/bUbZO7R4z40 Podbean: https://dataandsciencepodcast.podbean.com/e/simon-mak-integrating-science-into-stats-models/   00:00 - COMING UP….Scientists & Statisticians 02:09 - Introduction - Integrating scientific knowledge into AI/ML 06:08 - How much domain knowledge is sufficient? 09:15 - Choosing which prior knowledge to integrate into a model 14:49 - Black box & gray box optimization 19:50 - Non-physics examples of integrating scientific theory into ML models 22:45 - Scientific principles & modeling at different scales 27:20 - Correlation is one just way of modeling linkage 36:37 - Conditional independence & different-fidelity experiments 39:40 - Innovation vs incorporation of known information in the model 42:52 - Aortic stenosis example 52:49 - Which mathematics can be used to represent scientific knowledge 57:09 - How to acquire scientific domain knowledge 1:02:45 - Complementary approaches to integrating science 1:06:48 - Gaussian process & integrating priors over functions 1:12:48 - A topic for statisticians and scientists to debate:science-based vs data-based learning. Simon Mak's Webpage: https://sites.google.com/view/simonmak/home