Abstract

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 the computing performance. We illustrate that the performance degradation induced by noise can be compensated for via multi-level pre-processing masks.

© 2013 OSA

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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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  23. U. Huebner, N. B. Abraham, and C. O. Weiss, “Dimensions and entropies of chaotic intensity pulsations in a single-mode far-infrared NH3 laser”, Phys. Rev. A40, 6354–6365 (1989).
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2012 (5)

Y. Paquot, F. Duport, A. Smerieri, J. Dambre, B. Schrauwen, M. Haelterman, and S. Massar, “Optoelectronic reservoir computing,” Sci. Rep.2, 287 (2012).
[CrossRef] [PubMed]

R. Martinenghi, S. Rybalko, M. Jacquot, Y. K. Chembo, and L. Larger, “Photonic nonlinear transient computing with multiple-delay wavelength dynamics,” Phys. Rev Lett.108, 244101 (2012).
[CrossRef] [PubMed]

D. Woods and T. J. Naughton, “Photonic neural networks,” Nature Phys.8, 257–258 (2012).
[CrossRef]

J. Dambre, D. Verstraeten, B. Schrauwen, and S. Massar, “Information processing capacity of dynamical systems,” Sci. Rep.2, 514 (2012).
[CrossRef] [PubMed]

L. Larger, M. C. Soriano, D. Brunner, L. Appeltant, J. M. Gutierrez, L. Pesquera, C. R. Mirasso, and I. Fischer, “Photonic information processing beyond Turing: an optoelectronic implementation of reservoir computing,” Opt. Express20, 3241–3249 (2012).
[CrossRef] [PubMed]

2011 (4)

M. C. Soriano, L. Zunino, L. Larger, I. Fischer, and C. R. Mirasso, “Distinguishing fingerprints of hyperchaotic and stochastic dynamics in optical chaos from a delayed opto-electronic oscillator,” Opt. Lett.36, 2212–2214 (2011).
[CrossRef] [PubMed]

K. Vandoorne, J. Dambre, D. Verstraeten, B. Schrauwen, and P. Bienstman, “Parallel reservoir computing using optical amplifiers,” IEEE Trans. Neural Networks22, 1469–1481 (2011).
[CrossRef]

L. Appeltant, M. C. Soriano, G. Van der Sande, J. Danckaert, S. Massar, J. Dambre, B. Schrauwen, C. R. Mirasso, and I. Fischer, “Information processing using a single dynamical node as complex system,” Nature Commun.2, 468 (2011).
[CrossRef]

A. Rodan and P. Tin̂o, “Minimum complexity echo state network,” IEEE Trans. Neural Networks22, 131–144 (2011).
[CrossRef]

2010 (2)

J. P. Crutchfield, L. D. William, and S. Sudeshna, “Introduction to focus issue: intrinsic and designed computation: information processing in dynamical systems beyond the digital hegemony,” Chaos20, 037101 (2010).
[CrossRef] [PubMed]

H. J. Caulfield and S. Dolev, “Why future supercomputing requires optics,” Nat. Photonics4, 261 (2010).
[CrossRef]

2008 (2)

2007 (3)

Y. Kouomou Chembo, L. Larger, H. Tavernier, R. Bendoula, E. Rubiola, and P. Colet, “Dynamic instabilities of microwaves generated with optoelectronic oscillators,” Opt. Lett.32, 2571–2573 (2007).
[CrossRef] [PubMed]

D. Verstraeten, B. Schrauwen, M. D’Haene, and D. Stroobandt, “An experimental unification of reservoir computing methods,” Neural Networks20, 391–403 (2007).
[CrossRef] [PubMed]

J. L. O’Brien, “Optical quantum computing,” Science7, 1567–1570 (2007).
[CrossRef]

2004 (3)

H. Jaeger and H. Haas, “Harnessing nonlinearity: predicting chaotic systems and saving energy in wireless communication,” Science304, 78–80 (2004).
[CrossRef] [PubMed]

W. Maass and H. Markram, “On the computational power of recurrent circuits of spiking neurons,” J. Comput. Syst. Sci.69, 593–616 (2004).
[CrossRef]

L. Larger, J.-P. Goedgebuer, and V. S. Udalsov, “Ikeda–based nonlinear delayed dynamics for application to secure optical transmission systems using chaos,” C.R. de Physique5, 669–681 (2004).
[CrossRef]

2003 (1)

L. Cao, “Support vector machines experts for time series forecasting”, Neurocomputing51, 321–339 (2003).
[CrossRef]

2002 (1)

W. Maass, T. Natschläger, and H. Markram, “Real-time computing without stable states: a new framework for neural computation based on perturbations,” Neural Comput.14, 2531–2560 (2002).
[CrossRef] [PubMed]

1998 (1)

L. Larger, J. P. Goedgebuer, and J. M. Merolla, “Chaotic oscillator in wavelength: a new setup for investigating differential difference equations describing nonlinear dynamics,” IEEE J. Quantum Electron.34, 594–601 (1998).
[CrossRef]

1989 (1)

U. Huebner, N. B. Abraham, and C. O. Weiss, “Dimensions and entropies of chaotic intensity pulsations in a single-mode far-infrared NH3 laser”, Phys. Rev. A40, 6354–6365 (1989).
[CrossRef]

1979 (1)

K. Ikeda, “Multiple-valued stationary state and its instability of the transmitted light by a ring cavity system,” Optics Commun.30, 257–261 (1979).
[CrossRef]

Abraham, N. B.

U. Huebner, N. B. Abraham, and C. O. Weiss, “Dimensions and entropies of chaotic intensity pulsations in a single-mode far-infrared NH3 laser”, Phys. Rev. A40, 6354–6365 (1989).
[CrossRef]

Appeltant, L.

L. Larger, M. C. Soriano, D. Brunner, L. Appeltant, J. M. Gutierrez, L. Pesquera, C. R. Mirasso, and I. Fischer, “Photonic information processing beyond Turing: an optoelectronic implementation of reservoir computing,” Opt. Express20, 3241–3249 (2012).
[CrossRef] [PubMed]

L. Appeltant, M. C. Soriano, G. Van der Sande, J. Danckaert, S. Massar, J. Dambre, B. Schrauwen, C. R. Mirasso, and I. Fischer, “Information processing using a single dynamical node as complex system,” Nature Commun.2, 468 (2011).
[CrossRef]

Baets, R.

Bendoula, R.

Bienstman, P.

K. Vandoorne, J. Dambre, D. Verstraeten, B. Schrauwen, and P. Bienstman, “Parallel reservoir computing using optical amplifiers,” IEEE Trans. Neural Networks22, 1469–1481 (2011).
[CrossRef]

K. Vandoorne, W. Dierckx, B. Schrauwen, D. Verstraeten, R. Baets, P. Bienstman, and J. Campenhout, “Towards optical signal processing using photonic reservoir computing,” Opt. Express16, 11182—11192 (2008).
[CrossRef] [PubMed]

Brunner, D.

Campenhout, J.

Cao, L.

L. Cao, “Support vector machines experts for time series forecasting”, Neurocomputing51, 321–339 (2003).
[CrossRef]

Caulfield, H. J.

H. J. Caulfield and S. Dolev, “Why future supercomputing requires optics,” Nat. Photonics4, 261 (2010).
[CrossRef]

Chembo, Y. K.

R. Martinenghi, S. Rybalko, M. Jacquot, Y. K. Chembo, and L. Larger, “Photonic nonlinear transient computing with multiple-delay wavelength dynamics,” Phys. Rev Lett.108, 244101 (2012).
[CrossRef] [PubMed]

Colet, P.

Crutchfield, J. P.

J. P. Crutchfield, L. D. William, and S. Sudeshna, “Introduction to focus issue: intrinsic and designed computation: information processing in dynamical systems beyond the digital hegemony,” Chaos20, 037101 (2010).
[CrossRef] [PubMed]

D’Haene, M.

D. Verstraeten, B. Schrauwen, M. D’Haene, and D. Stroobandt, “An experimental unification of reservoir computing methods,” Neural Networks20, 391–403 (2007).
[CrossRef] [PubMed]

Dambre, J.

J. Dambre, D. Verstraeten, B. Schrauwen, and S. Massar, “Information processing capacity of dynamical systems,” Sci. Rep.2, 514 (2012).
[CrossRef] [PubMed]

Y. Paquot, F. Duport, A. Smerieri, J. Dambre, B. Schrauwen, M. Haelterman, and S. Massar, “Optoelectronic reservoir computing,” Sci. Rep.2, 287 (2012).
[CrossRef] [PubMed]

K. Vandoorne, J. Dambre, D. Verstraeten, B. Schrauwen, and P. Bienstman, “Parallel reservoir computing using optical amplifiers,” IEEE Trans. Neural Networks22, 1469–1481 (2011).
[CrossRef]

L. Appeltant, M. C. Soriano, G. Van der Sande, J. Danckaert, S. Massar, J. Dambre, B. Schrauwen, C. R. Mirasso, and I. Fischer, “Information processing using a single dynamical node as complex system,” Nature Commun.2, 468 (2011).
[CrossRef]

Danckaert, J.

L. Appeltant, M. C. Soriano, G. Van der Sande, J. Danckaert, S. Massar, J. Dambre, B. Schrauwen, C. R. Mirasso, and I. Fischer, “Information processing using a single dynamical node as complex system,” Nature Commun.2, 468 (2011).
[CrossRef]

Dierckx, W.

Dolev, S.

H. J. Caulfield and S. Dolev, “Why future supercomputing requires optics,” Nat. Photonics4, 261 (2010).
[CrossRef]

Duport, F.

Y. Paquot, F. Duport, A. Smerieri, J. Dambre, B. Schrauwen, M. Haelterman, and S. Massar, “Optoelectronic reservoir computing,” Sci. Rep.2, 287 (2012).
[CrossRef] [PubMed]

Fischer, I.

Goedgebuer, J. P.

L. Larger, J. P. Goedgebuer, and J. M. Merolla, “Chaotic oscillator in wavelength: a new setup for investigating differential difference equations describing nonlinear dynamics,” IEEE J. Quantum Electron.34, 594–601 (1998).
[CrossRef]

Goedgebuer, J.-P.

L. Larger, J.-P. Goedgebuer, and V. S. Udalsov, “Ikeda–based nonlinear delayed dynamics for application to secure optical transmission systems using chaos,” C.R. de Physique5, 669–681 (2004).
[CrossRef]

Gutierrez, J. M.

Haas, H.

H. Jaeger and H. Haas, “Harnessing nonlinearity: predicting chaotic systems and saving energy in wireless communication,” Science304, 78–80 (2004).
[CrossRef] [PubMed]

Haelterman, M.

Y. Paquot, F. Duport, A. Smerieri, J. Dambre, B. Schrauwen, M. Haelterman, and S. Massar, “Optoelectronic reservoir computing,” Sci. Rep.2, 287 (2012).
[CrossRef] [PubMed]

Huebner, U.

U. Huebner, N. B. Abraham, and C. O. Weiss, “Dimensions and entropies of chaotic intensity pulsations in a single-mode far-infrared NH3 laser”, Phys. Rev. A40, 6354–6365 (1989).
[CrossRef]

Huerta, R.

M. Rabinovich, R. Huerta, and G. Laurent, “Transient dynamics of neural processing,” Science321, 48–50 (2008).
[CrossRef] [PubMed]

Ikeda, K.

K. Ikeda, “Multiple-valued stationary state and its instability of the transmitted light by a ring cavity system,” Optics Commun.30, 257–261 (1979).
[CrossRef]

Jacquot, M.

R. Martinenghi, S. Rybalko, M. Jacquot, Y. K. Chembo, and L. Larger, “Photonic nonlinear transient computing with multiple-delay wavelength dynamics,” Phys. Rev Lett.108, 244101 (2012).
[CrossRef] [PubMed]

Jaeger, H.

H. Jaeger and H. Haas, “Harnessing nonlinearity: predicting chaotic systems and saving energy in wireless communication,” Science304, 78–80 (2004).
[CrossRef] [PubMed]

Kouomou Chembo, Y.

Larger, L.

R. Martinenghi, S. Rybalko, M. Jacquot, Y. K. Chembo, and L. Larger, “Photonic nonlinear transient computing with multiple-delay wavelength dynamics,” Phys. Rev Lett.108, 244101 (2012).
[CrossRef] [PubMed]

L. Larger, M. C. Soriano, D. Brunner, L. Appeltant, J. M. Gutierrez, L. Pesquera, C. R. Mirasso, and I. Fischer, “Photonic information processing beyond Turing: an optoelectronic implementation of reservoir computing,” Opt. Express20, 3241–3249 (2012).
[CrossRef] [PubMed]

M. C. Soriano, L. Zunino, L. Larger, I. Fischer, and C. R. Mirasso, “Distinguishing fingerprints of hyperchaotic and stochastic dynamics in optical chaos from a delayed opto-electronic oscillator,” Opt. Lett.36, 2212–2214 (2011).
[CrossRef] [PubMed]

Y. Kouomou Chembo, L. Larger, H. Tavernier, R. Bendoula, E. Rubiola, and P. Colet, “Dynamic instabilities of microwaves generated with optoelectronic oscillators,” Opt. Lett.32, 2571–2573 (2007).
[CrossRef] [PubMed]

L. Larger, J.-P. Goedgebuer, and V. S. Udalsov, “Ikeda–based nonlinear delayed dynamics for application to secure optical transmission systems using chaos,” C.R. de Physique5, 669–681 (2004).
[CrossRef]

L. Larger, J. P. Goedgebuer, and J. M. Merolla, “Chaotic oscillator in wavelength: a new setup for investigating differential difference equations describing nonlinear dynamics,” IEEE J. Quantum Electron.34, 594–601 (1998).
[CrossRef]

Laurent, G.

M. Rabinovich, R. Huerta, and G. Laurent, “Transient dynamics of neural processing,” Science321, 48–50 (2008).
[CrossRef] [PubMed]

Maass, W.

W. Maass and H. Markram, “On the computational power of recurrent circuits of spiking neurons,” J. Comput. Syst. Sci.69, 593–616 (2004).
[CrossRef]

W. Maass, T. Natschläger, and H. Markram, “Real-time computing without stable states: a new framework for neural computation based on perturbations,” Neural Comput.14, 2531–2560 (2002).
[CrossRef] [PubMed]

Markram, H.

W. Maass and H. Markram, “On the computational power of recurrent circuits of spiking neurons,” J. Comput. Syst. Sci.69, 593–616 (2004).
[CrossRef]

W. Maass, T. Natschläger, and H. Markram, “Real-time computing without stable states: a new framework for neural computation based on perturbations,” Neural Comput.14, 2531–2560 (2002).
[CrossRef] [PubMed]

Martinenghi, R.

R. Martinenghi, S. Rybalko, M. Jacquot, Y. K. Chembo, and L. Larger, “Photonic nonlinear transient computing with multiple-delay wavelength dynamics,” Phys. Rev Lett.108, 244101 (2012).
[CrossRef] [PubMed]

Massar, S.

J. Dambre, D. Verstraeten, B. Schrauwen, and S. Massar, “Information processing capacity of dynamical systems,” Sci. Rep.2, 514 (2012).
[CrossRef] [PubMed]

Y. Paquot, F. Duport, A. Smerieri, J. Dambre, B. Schrauwen, M. Haelterman, and S. Massar, “Optoelectronic reservoir computing,” Sci. Rep.2, 287 (2012).
[CrossRef] [PubMed]

L. Appeltant, M. C. Soriano, G. Van der Sande, J. Danckaert, S. Massar, J. Dambre, B. Schrauwen, C. R. Mirasso, and I. Fischer, “Information processing using a single dynamical node as complex system,” Nature Commun.2, 468 (2011).
[CrossRef]

Merolla, J. M.

L. Larger, J. P. Goedgebuer, and J. M. Merolla, “Chaotic oscillator in wavelength: a new setup for investigating differential difference equations describing nonlinear dynamics,” IEEE J. Quantum Electron.34, 594–601 (1998).
[CrossRef]

Mirasso, C. R.

Natschläger, T.

W. Maass, T. Natschläger, and H. Markram, “Real-time computing without stable states: a new framework for neural computation based on perturbations,” Neural Comput.14, 2531–2560 (2002).
[CrossRef] [PubMed]

Naughton, T. J.

D. Woods and T. J. Naughton, “Photonic neural networks,” Nature Phys.8, 257–258 (2012).
[CrossRef]

O’Brien, J. L.

J. L. O’Brien, “Optical quantum computing,” Science7, 1567–1570 (2007).
[CrossRef]

Paquot, Y.

Y. Paquot, F. Duport, A. Smerieri, J. Dambre, B. Schrauwen, M. Haelterman, and S. Massar, “Optoelectronic reservoir computing,” Sci. Rep.2, 287 (2012).
[CrossRef] [PubMed]

Pesquera, L.

Rabinovich, M.

M. Rabinovich, R. Huerta, and G. Laurent, “Transient dynamics of neural processing,” Science321, 48–50 (2008).
[CrossRef] [PubMed]

Rodan, A.

A. Rodan and P. Tin̂o, “Minimum complexity echo state network,” IEEE Trans. Neural Networks22, 131–144 (2011).
[CrossRef]

Rubiola, E.

Rybalko, S.

R. Martinenghi, S. Rybalko, M. Jacquot, Y. K. Chembo, and L. Larger, “Photonic nonlinear transient computing with multiple-delay wavelength dynamics,” Phys. Rev Lett.108, 244101 (2012).
[CrossRef] [PubMed]

Schrauwen, B.

Y. Paquot, F. Duport, A. Smerieri, J. Dambre, B. Schrauwen, M. Haelterman, and S. Massar, “Optoelectronic reservoir computing,” Sci. Rep.2, 287 (2012).
[CrossRef] [PubMed]

J. Dambre, D. Verstraeten, B. Schrauwen, and S. Massar, “Information processing capacity of dynamical systems,” Sci. Rep.2, 514 (2012).
[CrossRef] [PubMed]

K. Vandoorne, J. Dambre, D. Verstraeten, B. Schrauwen, and P. Bienstman, “Parallel reservoir computing using optical amplifiers,” IEEE Trans. Neural Networks22, 1469–1481 (2011).
[CrossRef]

L. Appeltant, M. C. Soriano, G. Van der Sande, J. Danckaert, S. Massar, J. Dambre, B. Schrauwen, C. R. Mirasso, and I. Fischer, “Information processing using a single dynamical node as complex system,” Nature Commun.2, 468 (2011).
[CrossRef]

K. Vandoorne, W. Dierckx, B. Schrauwen, D. Verstraeten, R. Baets, P. Bienstman, and J. Campenhout, “Towards optical signal processing using photonic reservoir computing,” Opt. Express16, 11182—11192 (2008).
[CrossRef] [PubMed]

D. Verstraeten, B. Schrauwen, M. D’Haene, and D. Stroobandt, “An experimental unification of reservoir computing methods,” Neural Networks20, 391–403 (2007).
[CrossRef] [PubMed]

Smerieri, A.

Y. Paquot, F. Duport, A. Smerieri, J. Dambre, B. Schrauwen, M. Haelterman, and S. Massar, “Optoelectronic reservoir computing,” Sci. Rep.2, 287 (2012).
[CrossRef] [PubMed]

Soriano, M. C.

Stroobandt, D.

D. Verstraeten, B. Schrauwen, M. D’Haene, and D. Stroobandt, “An experimental unification of reservoir computing methods,” Neural Networks20, 391–403 (2007).
[CrossRef] [PubMed]

Sudeshna, S.

J. P. Crutchfield, L. D. William, and S. Sudeshna, “Introduction to focus issue: intrinsic and designed computation: information processing in dynamical systems beyond the digital hegemony,” Chaos20, 037101 (2010).
[CrossRef] [PubMed]

Tavernier, H.

Tin^o, P.

A. Rodan and P. Tin̂o, “Minimum complexity echo state network,” IEEE Trans. Neural Networks22, 131–144 (2011).
[CrossRef]

Udalsov, V. S.

L. Larger, J.-P. Goedgebuer, and V. S. Udalsov, “Ikeda–based nonlinear delayed dynamics for application to secure optical transmission systems using chaos,” C.R. de Physique5, 669–681 (2004).
[CrossRef]

Van der Sande, G.

L. Appeltant, M. C. Soriano, G. Van der Sande, J. Danckaert, S. Massar, J. Dambre, B. Schrauwen, C. R. Mirasso, and I. Fischer, “Information processing using a single dynamical node as complex system,” Nature Commun.2, 468 (2011).
[CrossRef]

Vandoorne, K.

K. Vandoorne, J. Dambre, D. Verstraeten, B. Schrauwen, and P. Bienstman, “Parallel reservoir computing using optical amplifiers,” IEEE Trans. Neural Networks22, 1469–1481 (2011).
[CrossRef]

K. Vandoorne, W. Dierckx, B. Schrauwen, D. Verstraeten, R. Baets, P. Bienstman, and J. Campenhout, “Towards optical signal processing using photonic reservoir computing,” Opt. Express16, 11182—11192 (2008).
[CrossRef] [PubMed]

Verstraeten, D.

J. Dambre, D. Verstraeten, B. Schrauwen, and S. Massar, “Information processing capacity of dynamical systems,” Sci. Rep.2, 514 (2012).
[CrossRef] [PubMed]

K. Vandoorne, J. Dambre, D. Verstraeten, B. Schrauwen, and P. Bienstman, “Parallel reservoir computing using optical amplifiers,” IEEE Trans. Neural Networks22, 1469–1481 (2011).
[CrossRef]

K. Vandoorne, W. Dierckx, B. Schrauwen, D. Verstraeten, R. Baets, P. Bienstman, and J. Campenhout, “Towards optical signal processing using photonic reservoir computing,” Opt. Express16, 11182—11192 (2008).
[CrossRef] [PubMed]

D. Verstraeten, B. Schrauwen, M. D’Haene, and D. Stroobandt, “An experimental unification of reservoir computing methods,” Neural Networks20, 391–403 (2007).
[CrossRef] [PubMed]

Weiss, C. O.

U. Huebner, N. B. Abraham, and C. O. Weiss, “Dimensions and entropies of chaotic intensity pulsations in a single-mode far-infrared NH3 laser”, Phys. Rev. A40, 6354–6365 (1989).
[CrossRef]

William, L. D.

J. P. Crutchfield, L. D. William, and S. Sudeshna, “Introduction to focus issue: intrinsic and designed computation: information processing in dynamical systems beyond the digital hegemony,” Chaos20, 037101 (2010).
[CrossRef] [PubMed]

Woods, D.

D. Woods and T. J. Naughton, “Photonic neural networks,” Nature Phys.8, 257–258 (2012).
[CrossRef]

Zunino, L.

C.R. de Physique (1)

L. Larger, J.-P. Goedgebuer, and V. S. Udalsov, “Ikeda–based nonlinear delayed dynamics for application to secure optical transmission systems using chaos,” C.R. de Physique5, 669–681 (2004).
[CrossRef]

Chaos (1)

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