The math behind keeping Brazil's lights on.
Brazil's power grid runs mostly on water — roughly two thirds hydroelectric — so operating it means deciding how much to release from the reservoirs now and how much to save, without knowing when it will rain. My doctorate (FGV/EMAp) works on the stochastic optimization behind that decision: SDDP variants, cut selection, and the NEWAVE–DECOMP models the national operator actually runs in production.
The animation above is the literal subject of the master's thesis: a forward diffusion that melts the word into a hot cloud, then a reverse process that reassembles it.
Data-Driven Diffusion-Based Super-Resolution for Improvement of Reduced-Order Model Predictions in Fluid Dynamics
My first paper as lead author — a diffusion model that sharpens reduced-order fluid-dynamics predictions, faster than running the full simulation!
Improving accuracy of parametric surrogate model for turbidity currents using diffusion-based super-resolution
Diffusion-based super-resolution applied to turbidity-current surrogate models — recovering fine structure that the cheap solver loses.
Boundary Conditions for Hydrothermal Operation Planning: The Infinite-Horizon Approach
How to close the end of planning horizon problem — infinite-horizon boundary conditions for the Brazilian hydrothermal dispatch problem.
soon™ there will be more.