The QLS Diploma programme is aimed at providing students with a
quantitative and theoretical background that can allow them to access
postgraduate programmes in a broad range of disciplines, including
biophysics, quantitative biology and neuroscience, theoretical systems
ecology, economics, data science, and machine learning.
The diploma is organized along five main courses, on:
- Probability and Information Theory
- Quantitative Biology
- Neuroscience
- Ecology and Evolution
- Machine Learning and Artificial Intelligence
Each are aimed at giving a core theoretical background for analyzing and modeling different phenomena in life sciences. These are complemented with shorter topical and advanced courses, seminars and journal clubs.
The course descriptions are listed below. In addition to these, students will have to follow the "Spring College in Complex Systems" and take exams there.
The first part of the course deals with classical probability and it aims
primarily at acquiring a solid understanding of how to turn a problem
expressed in common language, into a probabilistic model (e.g. urn
models, balls and boxes, random walks, branching processes, etc) and how
to go from that to a quantitative answer (with combinatorial arguments,
generating functions, etc). The second part deals with sequences of
many random variables and the asymptotic behaviour in probability. We
discuss typical behaviour (law of large numbers, limit theorems) and
atypical behaviour (large deviation theory). This part also discusses
probability from the point of view of information theory. Statistical
mechanics and statistical learning are also discussed from this
perspective.
- Teacher: Matteo Marsili