  The field of optimization has the goal to find an optimal solution to a
target function, i.e. to minimize (or maximize) the target function. When
trying to find such a global minimum, one often encounters local minima due to
unfavorable procedures and starting regions. The swarm-based gradient descent
method of Prof. Eitan Tadmor offers an alternative method for solving global
minimization problems. By using a swarm of agents, local minima will not be
taken account and the global minimum will be found. Furthermore leads the
communication between the agent to a further expansion of the search region.
Under the supervision of Prof. Angela Kunoth, I give an introduction to this
swarm-based method in my bachelor thesis. Therefore I used my own program in
Julia to give a more visual understanding of how the new method works and which
influence certain parameters such as the number of agents or "q" have.
