Section: Application Domains
Statistical inference on biological data
We have here two specific applications in mind.
One is about understanding how the transcription of human genome is performed: transcription regulatory elements need to be identified. A natural modeling is provided by multivariate Hawkes processes but an excessive computational time is necessary for their implementation. Lasso type methods may overcome this numerical issue.
The second is about estimating the division rate of a size-structured population in a nonparametric setting. The size of the system evolves according to a transport-fragmentation equation: each individual grows with a given transport rate and splits into two offsprings of the same size, following a binary fragmentation process with an unknown division rate that depends on its size.