By identifying an instrumental variable correlated with the variableX butunrelated tothe confounders, researchers can isolate the exogenous variation inX and estimate acausal relationship betweenX andY.

In the following, we introduce GP, GP regression, and BO with an uncompressed notation.

In this paper, we propose a novel and powerful method to harness Bayesian optimization for V ariational Quantum Eigensolvers (VQEs)--a hybrid quantum-classical protocol used to approximate the ground state of a quantum Hamiltonian.

Simulation and computational modeling play a key role in science, engineering, economics, and manyotherareas.