7 problems

Intrinsic-dimension conjecture. Autoencoders could compress solutions to their intrinsic dimension, dictated by the number of parameters.

Primary-branch optimal heat transport conjecture. For larger HK models, the equilibria on the primary branch transport heat optimally at all physically relevant values of…

Let $e$ denote the error of the non-local derivative approximation, let $h$ be the graph spacing, and let $Q[K,k,p]$ be the convergence-rate exponent for polynomial degree $K$, Tay…

ROM backprojection and conventional pre-stack reverse time migration (RTM) produce images of reflectors, with the range resolution referring to the ability to distinguish reflector…

A dynamical system is observed through a limited number of sensors, and its measurements are assumed to reflect a latent low-dimensional structure of dynamic activity. Principled s…

Two-reason conjecture for negative eddy viscosity. The difference between the mixing-layer model, which exhibits a negative eddy viscosity, and the Ahmed body wake model, which doe…

Time-window independence conjecture. The optimal eddy viscosity $\nu_T^{\bullet}$ does not strongly depend on the chosen time window $[0,T]$, provided that it is equal to or longer…