Examples range from optical secure communication 2 and fast physical random bit generation 4 to secure key distribution using correlated randomness 5. Laser chaos exhibits ultrafast dynamics beyond GHz regime/domain hence, various engineering applications have been examined in the literature. The close relationship between lasers and chaos has been known for a long time the output of a laser generates chaotic oscillations when a time-delayed optical feedback is injected back into the laser cavity 3. Chaotic time series are very sensitive to initial conditions, which render long-term predictions unachievable unless infinite observation accuracy is attained in the beginning 2. This study applies to sectors where the order information is critical, such as efficient allocation of resources in information and communications technology.Ĭhaos can be defined as random oscillations generated by deterministic dynamics 1. We have demonstrated numerically that our approach did improve arm order recognition accuracy significantly, along with reduced dependence on reward environments, and the total reward is almost maintained compared with conventional MAB methods.
Here, we present an algorithm where the degree of exploration is adaptively controlled based on confidence intervals that represent the estimation accuracy of reward expectations.
Although the algorithm detects the arm with the highest reward expectation, the correct recognition of the order of arms in terms of reward expectations is not achievable. By exploiting ultrafast and irregular time series generated by lasers with delayed feedback, we have previously demonstrated a scalable algorithm to solve multi-armed bandit (MAB) problems utilizing the time-division multiplexing of laser chaos time series.
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