6533b831fe1ef96bd1298158

RESEARCH PRODUCT

Optimisation non-lisse pour l'estimation de composants immunitaires cellulaires dans un environnement tumoral

Quentin Klopfenstein

subject

Coordinate descentProblème inverse[INFO.INFO-OH]Computer Science [cs]/Other [cs.OH]Automatic differentiationBiomedical applicationHyperparameters selectionOptimisation non-LisseÉlection de paramètresDifférentiation automatique[INFO.INFO-OH] Computer Science [cs]/Other [cs.OH]Descente de coordonnéesInverse problemApplication biomédicaleNon-Smooth optimization

description

In this PhD proposal we will investigate new regularization methods of inverse problems that provide an absolute quantification of immune cell subpopulations. The mathematical aspect of this PhD proposal is two-fold. The first goal is to enhance the underlying linear model through a more refined construction of the expression matrix. The second goal is, given this linear model, to derive the best possible estimator. These two issues can be treated in a decoupled way, which is the standard for existing methods such as Cibersort, or as a coupled optimization problem (which is known as blind deconvolution in signal processing).

https://theses.hal.science/tel-03416077v2