Integrating Inference with Stochastic Process Algebra Models - Jane Hillston, Edinburgh
Alan Turing Institute via YouTube
Overview
Syllabus
Intro
Stochastic Process Algebra
Integrated analysis
Benefits of integration
Outline
Modelling in a Data Rich World
Molecular processes as concurrent computations
Formal modelling in systems biology
Bio-PEPA modelling
The semantics
Optimizing models
Alternative perspective
Machine Learning Bayesian statistics
Comparing the techniques
Developing a probabilistic programming approach
Probabilistic programming workflow
A Probabilistic Programming Process Algebra: ProPPA
Example Revisited
Constraint Markov Chains
Probabilistic CMCS
Semantics of ProPPA
Simulating Probabilistic Constraint Markoy Chains
Calculating the transient probabilities
Basic Inference
Inference for infinite state spaces
Expanding the likelihood
Example model
Results: ABC
Genetic Toggle Switch
Toggle switch model: species
Experiment
Genes (unobserved)
Proteins
Summary
Challenges and Future Directions
Taught by
Alan Turing Institute