4 papers
EM-based iterations for multiple instance learning on a query-value model
Ethan Levien
In multiple instance regression (MIR) data are organized into bags (collections of instances in feature space) and the goal is to learn a mapping that assigns labels to bags. A typ…
Size-structured populations with growth fluctuations: Feynman--Kac formula and decoupling
Ethan Levien, Yaïr Hein, Farshid Jafarpour
We study a size-structured population model in which individual cells grow at a rate determined by a fluctuating internal variable (e.g., gene expression levels). Many previous mod…
Coarse-graining and stochastic oscillations in a phenomenological model of cell-size homeostasis
Ethan Levien, Jessica Rattray
Within a continuous-time, stochastic model of single-cell size homeostasis, we study how the structure of feedback from size to growth rates and cell-cycle progression shapes overa…
Extremal events dictate population growth rate inference
Trevor GrandPre, Ethan Levien, Ariel Amir
Recent methods have been developed to map single-cell lineage statistics to population growth. Because population growth selects for exponentially rare phenotypes, these methods in…