3 papers
quant-ph2025
Exponential Speed-ups for Structured Goemans-Williamson relaxations via Quantum Gibbs States and Pauli Sparsity
Haomu Yuan, Daniel Stilck França, Ilia Luchnikov +3
Quadratic Unconstrained Binary Optimization (QUBO) problems are prevalent in various applications and are known to be NP-hard. The seminal work of Goemans and Williamson introduced…
eess.SY2020
Super-relaxation of space-time-quantized ensemble of energy loads to curtail their synchronization after demand response perturbation
Ilia Luchnikov, David Métivier, Henni Ouerdane +1
Ensembles of thermostatically controlled loads (TCL) provide a significant demand response reserve for the system operator to balance power grids. However, this also results in the…
eess.SY2018
Power of Ensemble Diversity and Randomization for Energy Aggregation
David Métivier, Ilia Luchnikov, Michael Chertkov
We study an ensemble of diverse (inhomogeneous) thermostatically controlled loads aggregated to provide the demand response (DR) services in a district-level energy system. Each lo…