Systems | Information | Learning | Optimization
 

Estimation of local dependence graphs via Hawkes processes and link with functional connectivity in neurosciences

Due to its low computational cost, Lasso is an attractive regularization method for high-dimensional statistical settings. In this paper, we consider multivariate counting processes depending on an unknown function parameter to be estimated by linear combinations of a fixed dictionary. To select coefficients, we propose an adaptive $\ell_1$-penalization methodology, where …

Criticality and information flow in an adaptive system and Semi-algebraic geometry of common lines

David Dynerman Cryo-electron microscopy (cryo-EM) is a technique for discovering the 3D structures of small molecules. To perform this 3D reconstruction a large number of 2D images taken from unknown microscope positions must be correctly positioned back in 3D space. Although these microscope positions are unknown, the common lines of …