Distributed Optimization in an Energy-Constrained Network: Analog Versus Digital Communication Schemes

We consider a distributed optimization problem whereby a network of n nodes, S<sub>ℓ</sub>, ℓ ∈ {1, ..., n}, wishes to minimize a common strongly convex function f(x), x=[<i>x</i><sub>1</sub>,..., <i>xn</i>]<i>T</i>, under the constraint that node <i>S</i><sub>ℓ</sub> controls variable <i>x</i><sub>ℓ</sub> only. The nodes locally update their respective… CONTINUE READING