Stochastic resonance emergence from a minimalistic behavioral rule

Minimalistic behavioral rule derived from bacterial chemotaxis in a stochastic resonance setup

“…In [10], it was experimentally confirmed that with simple potential fields g(x) MBR is able to generate a sequence of u t which makes the state x t follow trajectories that, on average, approximate the steepest positive gradient of the evaluation function. Additionally, it was shown that the probability of taking the steepest direction depends on the noise magnitude η.…”

“…In [10] a model of animal movement was proposed. The model can be considered as the direct, mathematical translation of the intuitive definition given for klinokinesis in [26]: "if conditions are improving, keep on in the same direction, otherwise try a new direction".…”

“…Additionally, it was shown that the probability of taking the steepest direction depends on the noise magnitude η. More precisely, in [10] the mutual information between the direction taken by the agent and the real gradient direction as η varies was analyzed. Mutual information between two random variables X and Y is formally defined…”

“…In [10] we proposed a simplified, generic model for the movement of animals in similar settings, that we termed Minimalistic Behavioral Rule (MBR). We showed that making the behavior stochastic to a certain degree improves the performances.…”

“…The work in [10] showed experimentally that a SR effect occurs also considering the stochasticity of the behavior and the chemotactic performance of an agent driven by MBR.…”