We numerically quantify the performance of photonic reservoir computer based on a semiconductor laser subject to high-pass filtered optoelectronic feedback. We assess its memory capacity, computational ability, and performance in solving a multi-step prediction task. By analyzing the complex bifurcation landscape of the corresponding delay-differential equation model, we observe that optimal performance occurs at the edge of instability, at the onset of periodic regimes, and unveil a parity asymmetry in the performance with a slight advantage for positive over negative feedback.
We numerically analyze a delay differential equation model of a short-cavity semiconductor laser with an intracavity frequency swept filter and reveal a complex bifurcation structure responsible for the asymmetry of the output characteristics of this laser. We show that depending on the direction of the frequency sweep of a narrowband filter, there exist two bursting cycles determined by different parts of a continuous-wave solutions branch.
We study delay-based photonic reservoir computing using a semiconductor laser with an optoelectronic feedback. A rate-equation model for a laser with an optoelectronic filtered feedback is used. The filter allows only highfrequency signals to pass through the feedback loop. The delay-differential equation model consists of three equations for the normalized electric field intensity, the carrier density, and the filtered intensity signal. The stability boundaries which correspond to the Hopf bifurcation condition are determined analytically, showing multiple Hopf bifurcation branches in the dynamics, and the parity asymmetry with relation to the feedback sign. We use the Santa Fe time-series prediction task to evaluate the performance of reservoir computing. Our objective is to determine location of the optimal operating point defined as corresponding to minimal normalized mean square error (NMSE) and relate it to the stability properties of the system. We use 3000 points for training and 1000 for testing; the number of virtual nodes is chosen in regard to the relaxation oscillation frequency. The input signal is determined by the chaotic waveform having n sampling points, and three cases are investigated prediction of n + 1, n + 2 or n + 3 sampling point. The minimum values of NMSE for the n + 2 and n + 3 point prediction tasks correspond to the Hopf bifurcation, and only for the positive feedback.
We study delay-based photonic reservoir computing using a semiconductor laser with an optoelectronic feedback. Multiple Hopf bifurcation branches possess the parity asymmetry with relation to the feedback sign. We observe the corresponding difference in the normalized means square error (NMSE) values corresponding to the prediction of the n+2 and n+3 points based on the n samples in the chaotic timeseries prediction task.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.