Multiobjective Optimization and Tchebycheff Scalarization (and something about Pareto)
I always like attending job talks. You learn something, be awed by cutting edge research, and from time to time, reflect on skills of academic presentations… Today’s topic is Multi-Objective Optimization (MOO). When sometimes for an optimization problem there are two or more conflicting objectives (e.g. fairness vs. efficiency), it is not guaranteed that a single solution simultaneously optimizes each objective. Naturally, we consider Pareto Efficiency as a major concept for solution—a solution where none of the objective functions can be improved in value without degrading some of the other objective values. By the way, quick overview for Pareto: ...