Novel methods for information processing are highly desired in our information-driven society. Inspired by the brain's ability to process information, recently introduced paradigm known as 'reservoir computing' shows that complex networks can efficiently perform computation. Here we introduce a novel architecture reduces usually required large number of elements single nonlinear node with delayed feedback. Through an electronic implementation, experimentally and numerically demonstrate...

The increasing demands on information processing require novel computational concepts and true parallelism. Nevertheless, hardware realizations of unconventional computing approaches never exceeded a marginal existence. While the application optics in super-computing receives reawakened interest, new concepts, partly neuro-inspired, are being considered developed. Here we experimentally demonstrate potential simple photonic architecture to process at unprecedented data rates, implementing...

Many information processing challenges are difficult to solve with traditional Turing or von Neumann approaches.Implementing unconventional computational methods is therefore essential and optics provides promising opportunities.Here we experimentally demonstrate optical using a nonlinear optoelectronic oscillator subject delayed feedback.We implement neuro-inspired concept, called Reservoir Computing, proven possess universal capabilities.We particularly exploit the transient response of...

Complex phenomena in photonics, particular, dynamical properties of semiconductor lasers due to delayed coupling, are reviewed. Although considered a nuisance for long time, these now open interesting perspectives. Semiconductor laser systems represent excellent test beds the study nonlinear delay-coupled systems, which fundamental relevance various areas. At same time provide opportunities photonic applications. In this review an introduction into single and two is followed by extension...

We present experimental and numerical investigations of the dynamics two device-identical, optically coupled semiconductor lasers exhibiting a delay in coupling. Our results give evidence for subnanosecond coupling-induced synchronized chaotic conjunction with spontaneous symmetry-breaking: we find well-defined time lag between lasers, an asymmetric physical role subsystems. demonstrate that leading laser synchronizes its lagging counterpart, whereas drives instabilities.

Multielectrode recordings have revealed zero time lag synchronization among remote cerebral cortical areas. However, the axonal conduction delays such distant regions can amount to several tens of milliseconds. It is still unclear which mechanism giving rise isochronous discharge widely distributed neurons, despite latencies. Here, we investigate properties a simple network motif and found that, even in presence large delays, neuronal populations self-organize into lag-free oscillations....

Photonic Neural Network implementations have been gaining considerable attention as a potentially disruptive future technology. Demonstrating learning in large scale neural networks is essential to establish photonic machine substrates viable information processing systems. Realizing Networks with numerous nonlinear nodes fully parallel and efficient hardware was lacking so far. We demonstrate network of up 2500 diffractively coupled nodes, forming Recurrent Network. Using Digital Micro...

Photonic implementations of reservoir computing (RC) have been receiving considerable attention due to their excellent performance, hardware, and energy efficiency as well speed.Here, we study a particularly attractive all-optical system using optical information injection into semiconductor laser with delayed feedback.We connect its locking, consistency, memory properties the RC performance in non-linear prediction task.We find that for partial locking achieve good combination consistency...

We present experimental evidence for the synchronization of two semiconductor lasers exhibiting chaotic emission on subnanosecond time scales. The transmitter system consists a laser with weak to moderate coherent optical feedback and therefore exhibits oscillations. receiver is realized by solitary in which fraction signal coherently injected. find that considerably large parameter range, synchronized output can be achieved. discuss physical mechanism demonstrate acts as chaos pass filter,...

We show that isochronous synchronization between two delay-coupled oscillators can be achieved by relaying the dynamics via a third mediating element, which surprisingly lags behind synchronized outer elements. The zero-lag thus obtained is robust over considerable parameter range. substantiate our claims with experimental and numerical evidence of such solutions in chain three coupled semiconductor lasers long interelement coupling delays. generality mechanism validated neuronal model same...

We report the first experimental observation of irregular picosecond light pulses within coherence collapse a semiconductor laser subject to delayed moderate optical feedback. This pulsing behavior agrees with recent explanation low frequency fluctuations as chaotic itinerancy drift. Theory and experiments show very good agreement.

We give experimental and numerical evidence for a new dynamical regime in the operation of semiconductor lasers subject to delayed optical feedback occurring short delay times. This cavity is dominated by striking phenomenon: regular pulse packages forming robust low-frequency state with underlying fast, intensity pulsations. demonstrate that these correspond trajectories moving on global orbits comprising several destabilized fixed points within complicated phase space structure this system.

In this paper an approach to identify delay phenomena from time series is developed. We show that it possible perform a reliable identification by using quantifiers derived information theory, more precisely, permutation entropy and statistical complexity. These clear extrema when the embedding $\ensuremath{\tau}$ of symbolic reconstruction matches characteristic ${\ensuremath{\tau}}_{S}$ system. Numerical data originating system based on well-known Mackey-Glass equations operating in...

We analyze the intrinsic time scales of chaotic dynamics a semiconductor laser subject to optical feedback by estimating quantifiers derived from permutation information approach. Based on numerically and experimentally obtained times series, we find that entropy statistical complexity allow extraction important characteristics system. provide evidence is complementary entropy, giving valuable insights into role different involved in regime delay feedback. The results confirm this novel...

We present improved strategies to perform photonic information processing using an optoelectronic oscillator with delayed feedback. In particular, we study, via numerical simulations and experiments, the influence of a finite signal-to-noise ratio on computing performance. illustrate that performance degradation induced by noise can be compensated for multi-level pre-processing masks.

Abstract In this paper we present a unified framework for extreme learning machines and reservoir computing (echo state networks), which can be physically implemented using single nonlinear neuron subject to delayed feedback. The is built within the delay-line, employing number of “virtual” neurons. These virtual neurons receive random projections from input layer containing information processed. One key advantage approach that it efficiently in hardware. We show implementation, case...

Abstract Machine learning techniques have proven very efficient in assorted classification tasks. Nevertheless, processing time-dependent high-speed signals can turn into an extremely challenging task, especially when these been nonlinearly distorted. Recently, analogue hardware concepts using nonlinear transient responses gaining significant interest for fast information processing. Here, we introduce a simplified photonic reservoir computing scheme data of severely distorted optical...

We introduce a chaos-based communication scheme allowing for bidirectional exchange of information. Coupling [corrected] two semiconductor lasers through partially transparent optical mirror, placed in the pathway connecting delay dynamics is induced both lasers. numerically demonstrate that this can be identically synchronized, and moreover, information introduced on ends link simultaneously transmitted. This allows one to negotiate key public channel.

Photonic delay systems have revolutionized the hardware implementation of Recurrent Neural Networks and Reservoir Computing in particular. The fundamental principles strongly benefit a realization such complex analog systems. Especially systems, potentially providing large numbers degrees freedom even simple architectures, can efficiently be exploited for information processing. numerous demonstrations their performance led to revival photonic Artificial Network. Today, an astonishing...

We investigate the effect of coupling delays on synchronization properties several network motifs. In particular, we analyze patterns unidirectionally coupled rings, bidirectionally and open chains Kuramoto oscillators. Our approach includes an analytical semianalytical study existence stability different in-phase out-of-phase periodic solutions, complemented by numerical simulations. The delay is found to act differently networks possessing symmetries. While for ring mainly observed induce...

An adapted state-of-the-art method of processing information known as Reservoir Computing is used to show its utility on the open and time-consuming problem heartbeat classification. The MIT-BIH arrhythmia database following guidelines Association for Advancement Medical Instrumentation. Our approach requires a computationally inexpensive preprocessing electrocardiographic signal leading fast algorithm approaching real-time classification solution. multiclass results indicate an average...

Reservoir computing is a novel bio-inspired method, capable of solving complex tasks in computationally efficient way. It has recently been successfully implemented using delayed feedback systems, allowing to reduce the hardware complexity brain-inspired computers drastically. In this approach, pre-processing procedure relies on definition temporal mask which serves as scaled time-mutiplexing input. Originally, random masks had chosen, motivated by connectivity reservoirs. This generation...

We demonstrate reservoir computing with a physical system using single autonomous Boolean logic element time-delay feedback. The generates chaotic transient window of consistency lasting between 30 and 300 ns, which we show is sufficient for computing. then characterize the dependence computational performance on parameters to find best operating point reservoir. When are chosen, able classify short input patterns that decreases over time. In particular, four distinct can be classified 70...