Abstract

The interaction of two competing mechanisms that participate in the formation of a concept is considered in developing an approach to the implementation of inductive generalization in a Fourier-holography setup as a method of generating abstract concepts on the basis of sensory-pattern processing. These mechanisms are nonlinear iterative mapping in the correlation plane, which breaks down the internal correlation of the concept, and diffraction on a rerecorded hologram, which restores the internal correlation. It is shown that the characteristics of the index (reference) pattern that represents reality and the characteristics of the hologram, determined by the properties of the recording medium and by the method of recording it, have an effect on the formation of the internal correlation of the generated concept that prevails over the characteristics of the iterative mapping.

© 2013 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. O. P.  Kuznetsov, “Cognitive semantics and artificial intelligence,” Iskusst. Intellekt Prinyat. Reshen. No. 4, 32 (2012).
  2. G. A.  Golitsyn, I. B.  Fominykh, “Neural networks and expert systems: prospects of integration,” Novosti Iskusst. Intellekta No. 4, 121 (1996).
  3. V. P.  Leutin, E. I.  Nikolaeva, Functional Asymmetry of the Brain. Myths and Reality (Rech’, St. Petersburg, 2005).
  4. O. P.  Kuznetsov, “Nonclassical paradigms in AI,” Izv. Akad. Nauk. Ser.: Teor. Sis. Upravleniya No. 5, 3 (1995).
  5. N. B.  Tushkanov, O. N.  Tushkanova, “Constructing multisensor systems: operating principles of the neocortex of the brain when recognizing objects of the external world,” in Transactions of the Congress on Intelligent Systems and Information Technologies, IS-IT’12 (FIZMATLIT, Moscow, 2012), Vol. 2, pp. 373–378.
  6. S. P.  Springer, G.  Deutsch, Left Brain, Right Brain: Perspectives from Cognitive Neuroscience (W. H. Freeman, New York, 2001; Mir, Moscow, 1983).
  7. O. P.  Kuznetsov, A. V.  Markovskıĭ, L. B.  Shipilina, Holographic Mechanisms for Processing Pattern Information (Inst. Problem Upravleniya, Moscow, 2007).
  8. V. N.  Vagin, E. Yu.  Golovina, A. A.  Zagoryanskaya, M. V.  Fomina, The Reliability and Probability Approach in Intelligent Systems (FIZMATLIT, Moscow, 2008).
  9. A. B.  Barskiĭ, Logical Neural Networks (Binom, Moscow, 2007).
  10. A. V.  Pavlov, “The possibility of implementing plausible reasoning by means of Fourier holography,” Opt. Zh. 77, No. 5, 24 (2010) [J. Opt. Technol. 77, 316 (2010)].
  11. A. V.  Pavlov, “On stipulating the characteristics of a concept during its inductive formation on neural networks with connections according to a Fourier-holography setup,” in Seventh International Scientific-Practical Conference on Integrated Models and Soft Computations in Artificial Intelligence. Collection of Scientific Papers (FIZMATLIT, Moscow, 2011), Vol. 1, pp. 349–359.
  12. V. I.  Korogodin, Information and the Phenomenon of Life (Akad. Nauk SSSR, Pushchino, 1991).
  13. Yu. L.  Klimontovich, Introduction to the Physics of Open Systems (Yanus-K, Moscow, 2002).
  14. D. S.  Chernavskiĭ, Synergetics and Information. A Dynamic Theory of Information (URSS, Moscow, 2009).
  15. I. R.  Prigogine, I.  Stengers, Das Paradox der Zeit. Zeit, Chaos und Quanten (Piper, 1993; KomKniga, Moscow, 2005).
  16. A. V.  Pavlov, “Concerning the stipulation of the characteristics of the concept formed by a neural network with connections in Fourier space,” in Twelfth National Conference on Artificial Intelligence. Transactions of the Conference (Izd. BGTU, Belgorod, 2012), Vol. 1, pp. 358–366.
  17. Z. S.  Bekyasheva, V. N.  Vasil’ev, A. V.  Pavlov, “Models of the advancement of hypotheses in a Fourier-holography layout,” Opt. Zh. 80, No. 3, 37 (2013) [J. Opt. Technol. 80, 154 (2013)].
  18. G. A.  Carpenter, S.  Grossberg, “ART 2: self-organization of stable category-recognition codes for analog input patterns,” Appl. Opt. 26, 4919 (1987).
    [CrossRef]
  19. E. I.  Shubnikov, “Signal-to-noise ratio in correlation comparison of images,” Opt. Spektrosk. 62, 450 (1987) [Opt. Spectrosc. (USSR) 62, 268 (1987)].
  20. R. M.  Kronover, Fractals and Chaos in Dynamic Systems (Postmarket, Moscow, 2000).
  21. N. A.  Magnitskıĭ, “Pattern recognition by distributed dynamic systems,” Doklady Rossiiskoi akademii selskokhoziaistvennykh nauk 338, 320 (1994) [Phys.–Dokl. 39, 623 (1994)].
  22. A. M.  Kuleshov, E. I.  Shubnikov, S. A.  Smaeva, “On the optimal nature of a holographic matched filter,” Opt. Spektrosk. 60, 1273 (1986) [Opt. Spectrosc. (USSR) 60, 791 (1986)].
  23. O. D.  Chernavskaya, D. S.  Chernavskiĭ, A. P.  Nikitin, On a Possible Mechanism of “Intuitive” and “Logical” in Neural Computing (FIAN, Moscow, 2009).
  24. I. B.  Fominykh, “On the technology of solving creative problems,” in Collected Transactions of the Eighth National Conference on Artificial Intelligence, KII-2002 (FIZMATLIT, Moscow, 2002), Vol. 1, pp. 519–526.

2013 (1)

Z. S.  Bekyasheva, V. N.  Vasil’ev, A. V.  Pavlov, “Models of the advancement of hypotheses in a Fourier-holography layout,” Opt. Zh. 80, No. 3, 37 (2013) [J. Opt. Technol. 80, 154 (2013)].

2012 (1)

O. P.  Kuznetsov, “Cognitive semantics and artificial intelligence,” Iskusst. Intellekt Prinyat. Reshen. No. 4, 32 (2012).

2010 (1)

A. V.  Pavlov, “The possibility of implementing plausible reasoning by means of Fourier holography,” Opt. Zh. 77, No. 5, 24 (2010) [J. Opt. Technol. 77, 316 (2010)].

1996 (1)

G. A.  Golitsyn, I. B.  Fominykh, “Neural networks and expert systems: prospects of integration,” Novosti Iskusst. Intellekta No. 4, 121 (1996).

1995 (1)

O. P.  Kuznetsov, “Nonclassical paradigms in AI,” Izv. Akad. Nauk. Ser.: Teor. Sis. Upravleniya No. 5, 3 (1995).

1994 (1)

N. A.  Magnitskıĭ, “Pattern recognition by distributed dynamic systems,” Doklady Rossiiskoi akademii selskokhoziaistvennykh nauk 338, 320 (1994) [Phys.–Dokl. 39, 623 (1994)].

1987 (2)

G. A.  Carpenter, S.  Grossberg, “ART 2: self-organization of stable category-recognition codes for analog input patterns,” Appl. Opt. 26, 4919 (1987).
[CrossRef]

E. I.  Shubnikov, “Signal-to-noise ratio in correlation comparison of images,” Opt. Spektrosk. 62, 450 (1987) [Opt. Spectrosc. (USSR) 62, 268 (1987)].

1986 (1)

A. M.  Kuleshov, E. I.  Shubnikov, S. A.  Smaeva, “On the optimal nature of a holographic matched filter,” Opt. Spektrosk. 60, 1273 (1986) [Opt. Spectrosc. (USSR) 60, 791 (1986)].

Barskii, A. B.

A. B.  Barskiĭ, Logical Neural Networks (Binom, Moscow, 2007).

Bekyasheva, Z. S.

Z. S.  Bekyasheva, V. N.  Vasil’ev, A. V.  Pavlov, “Models of the advancement of hypotheses in a Fourier-holography layout,” Opt. Zh. 80, No. 3, 37 (2013) [J. Opt. Technol. 80, 154 (2013)].

Carpenter, G. A.

Chernavskaya, O. D.

O. D.  Chernavskaya, D. S.  Chernavskiĭ, A. P.  Nikitin, On a Possible Mechanism of “Intuitive” and “Logical” in Neural Computing (FIAN, Moscow, 2009).

Chernavskii, D. S.

O. D.  Chernavskaya, D. S.  Chernavskiĭ, A. P.  Nikitin, On a Possible Mechanism of “Intuitive” and “Logical” in Neural Computing (FIAN, Moscow, 2009).

D. S.  Chernavskiĭ, Synergetics and Information. A Dynamic Theory of Information (URSS, Moscow, 2009).

Deutsch, G.

S. P.  Springer, G.  Deutsch, Left Brain, Right Brain: Perspectives from Cognitive Neuroscience (W. H. Freeman, New York, 2001; Mir, Moscow, 1983).

Fomina, M. V.

V. N.  Vagin, E. Yu.  Golovina, A. A.  Zagoryanskaya, M. V.  Fomina, The Reliability and Probability Approach in Intelligent Systems (FIZMATLIT, Moscow, 2008).

Fominykh, I. B.

G. A.  Golitsyn, I. B.  Fominykh, “Neural networks and expert systems: prospects of integration,” Novosti Iskusst. Intellekta No. 4, 121 (1996).

I. B.  Fominykh, “On the technology of solving creative problems,” in Collected Transactions of the Eighth National Conference on Artificial Intelligence, KII-2002 (FIZMATLIT, Moscow, 2002), Vol. 1, pp. 519–526.

Golitsyn, G. A.

G. A.  Golitsyn, I. B.  Fominykh, “Neural networks and expert systems: prospects of integration,” Novosti Iskusst. Intellekta No. 4, 121 (1996).

Golovina, E. Yu.

V. N.  Vagin, E. Yu.  Golovina, A. A.  Zagoryanskaya, M. V.  Fomina, The Reliability and Probability Approach in Intelligent Systems (FIZMATLIT, Moscow, 2008).

Grossberg, S.

Klimontovich, Yu. L.

Yu. L.  Klimontovich, Introduction to the Physics of Open Systems (Yanus-K, Moscow, 2002).

Korogodin, V. I.

V. I.  Korogodin, Information and the Phenomenon of Life (Akad. Nauk SSSR, Pushchino, 1991).

Kronover, R. M.

R. M.  Kronover, Fractals and Chaos in Dynamic Systems (Postmarket, Moscow, 2000).

Kuleshov, A. M.

A. M.  Kuleshov, E. I.  Shubnikov, S. A.  Smaeva, “On the optimal nature of a holographic matched filter,” Opt. Spektrosk. 60, 1273 (1986) [Opt. Spectrosc. (USSR) 60, 791 (1986)].

Kuznetsov, O. P.

O. P.  Kuznetsov, “Cognitive semantics and artificial intelligence,” Iskusst. Intellekt Prinyat. Reshen. No. 4, 32 (2012).

O. P.  Kuznetsov, “Nonclassical paradigms in AI,” Izv. Akad. Nauk. Ser.: Teor. Sis. Upravleniya No. 5, 3 (1995).

O. P.  Kuznetsov, A. V.  Markovskıĭ, L. B.  Shipilina, Holographic Mechanisms for Processing Pattern Information (Inst. Problem Upravleniya, Moscow, 2007).

Leutin, V. P.

V. P.  Leutin, E. I.  Nikolaeva, Functional Asymmetry of the Brain. Myths and Reality (Rech’, St. Petersburg, 2005).

Magnitskii, N. A.

N. A.  Magnitskıĭ, “Pattern recognition by distributed dynamic systems,” Doklady Rossiiskoi akademii selskokhoziaistvennykh nauk 338, 320 (1994) [Phys.–Dokl. 39, 623 (1994)].

Markovskii, A. V.

O. P.  Kuznetsov, A. V.  Markovskıĭ, L. B.  Shipilina, Holographic Mechanisms for Processing Pattern Information (Inst. Problem Upravleniya, Moscow, 2007).

Nikitin, A. P.

O. D.  Chernavskaya, D. S.  Chernavskiĭ, A. P.  Nikitin, On a Possible Mechanism of “Intuitive” and “Logical” in Neural Computing (FIAN, Moscow, 2009).

Nikolaeva, E. I.

V. P.  Leutin, E. I.  Nikolaeva, Functional Asymmetry of the Brain. Myths and Reality (Rech’, St. Petersburg, 2005).

Pavlov, A. V.

Z. S.  Bekyasheva, V. N.  Vasil’ev, A. V.  Pavlov, “Models of the advancement of hypotheses in a Fourier-holography layout,” Opt. Zh. 80, No. 3, 37 (2013) [J. Opt. Technol. 80, 154 (2013)].

A. V.  Pavlov, “The possibility of implementing plausible reasoning by means of Fourier holography,” Opt. Zh. 77, No. 5, 24 (2010) [J. Opt. Technol. 77, 316 (2010)].

A. V.  Pavlov, “On stipulating the characteristics of a concept during its inductive formation on neural networks with connections according to a Fourier-holography setup,” in Seventh International Scientific-Practical Conference on Integrated Models and Soft Computations in Artificial Intelligence. Collection of Scientific Papers (FIZMATLIT, Moscow, 2011), Vol. 1, pp. 349–359.

A. V.  Pavlov, “Concerning the stipulation of the characteristics of the concept formed by a neural network with connections in Fourier space,” in Twelfth National Conference on Artificial Intelligence. Transactions of the Conference (Izd. BGTU, Belgorod, 2012), Vol. 1, pp. 358–366.

Prigogine, I. R.

I. R.  Prigogine, I.  Stengers, Das Paradox der Zeit. Zeit, Chaos und Quanten (Piper, 1993; KomKniga, Moscow, 2005).

Shipilina, L. B.

O. P.  Kuznetsov, A. V.  Markovskıĭ, L. B.  Shipilina, Holographic Mechanisms for Processing Pattern Information (Inst. Problem Upravleniya, Moscow, 2007).

Shubnikov, E. I.

E. I.  Shubnikov, “Signal-to-noise ratio in correlation comparison of images,” Opt. Spektrosk. 62, 450 (1987) [Opt. Spectrosc. (USSR) 62, 268 (1987)].

A. M.  Kuleshov, E. I.  Shubnikov, S. A.  Smaeva, “On the optimal nature of a holographic matched filter,” Opt. Spektrosk. 60, 1273 (1986) [Opt. Spectrosc. (USSR) 60, 791 (1986)].

Smaeva, S. A.

A. M.  Kuleshov, E. I.  Shubnikov, S. A.  Smaeva, “On the optimal nature of a holographic matched filter,” Opt. Spektrosk. 60, 1273 (1986) [Opt. Spectrosc. (USSR) 60, 791 (1986)].

Springer, S. P.

S. P.  Springer, G.  Deutsch, Left Brain, Right Brain: Perspectives from Cognitive Neuroscience (W. H. Freeman, New York, 2001; Mir, Moscow, 1983).

Stengers, I.

I. R.  Prigogine, I.  Stengers, Das Paradox der Zeit. Zeit, Chaos und Quanten (Piper, 1993; KomKniga, Moscow, 2005).

Tushkanov, N. B.

N. B.  Tushkanov, O. N.  Tushkanova, “Constructing multisensor systems: operating principles of the neocortex of the brain when recognizing objects of the external world,” in Transactions of the Congress on Intelligent Systems and Information Technologies, IS-IT’12 (FIZMATLIT, Moscow, 2012), Vol. 2, pp. 373–378.

Tushkanova, O. N.

N. B.  Tushkanov, O. N.  Tushkanova, “Constructing multisensor systems: operating principles of the neocortex of the brain when recognizing objects of the external world,” in Transactions of the Congress on Intelligent Systems and Information Technologies, IS-IT’12 (FIZMATLIT, Moscow, 2012), Vol. 2, pp. 373–378.

Vagin, V. N.

V. N.  Vagin, E. Yu.  Golovina, A. A.  Zagoryanskaya, M. V.  Fomina, The Reliability and Probability Approach in Intelligent Systems (FIZMATLIT, Moscow, 2008).

Vasil’ev, V. N.

Z. S.  Bekyasheva, V. N.  Vasil’ev, A. V.  Pavlov, “Models of the advancement of hypotheses in a Fourier-holography layout,” Opt. Zh. 80, No. 3, 37 (2013) [J. Opt. Technol. 80, 154 (2013)].

Zagoryanskaya, A. A.

V. N.  Vagin, E. Yu.  Golovina, A. A.  Zagoryanskaya, M. V.  Fomina, The Reliability and Probability Approach in Intelligent Systems (FIZMATLIT, Moscow, 2008).

Appl. Opt. (1)

Doklady Rossiiskoi akademii selskokhoziaistvennykh nauk (1)

N. A.  Magnitskıĭ, “Pattern recognition by distributed dynamic systems,” Doklady Rossiiskoi akademii selskokhoziaistvennykh nauk 338, 320 (1994) [Phys.–Dokl. 39, 623 (1994)].

Iskusst. Intellekt Prinyat. Reshen. (1)

O. P.  Kuznetsov, “Cognitive semantics and artificial intelligence,” Iskusst. Intellekt Prinyat. Reshen. No. 4, 32 (2012).

Izv. Akad. Nauk. Ser.: Teor. Sis. Upravleniya (1)

O. P.  Kuznetsov, “Nonclassical paradigms in AI,” Izv. Akad. Nauk. Ser.: Teor. Sis. Upravleniya No. 5, 3 (1995).

Novosti Iskusst. Intellekta (1)

G. A.  Golitsyn, I. B.  Fominykh, “Neural networks and expert systems: prospects of integration,” Novosti Iskusst. Intellekta No. 4, 121 (1996).

Opt. Spektrosk. (2)

E. I.  Shubnikov, “Signal-to-noise ratio in correlation comparison of images,” Opt. Spektrosk. 62, 450 (1987) [Opt. Spectrosc. (USSR) 62, 268 (1987)].

A. M.  Kuleshov, E. I.  Shubnikov, S. A.  Smaeva, “On the optimal nature of a holographic matched filter,” Opt. Spektrosk. 60, 1273 (1986) [Opt. Spectrosc. (USSR) 60, 791 (1986)].

Opt. Zh. (2)

A. V.  Pavlov, “The possibility of implementing plausible reasoning by means of Fourier holography,” Opt. Zh. 77, No. 5, 24 (2010) [J. Opt. Technol. 77, 316 (2010)].

Z. S.  Bekyasheva, V. N.  Vasil’ev, A. V.  Pavlov, “Models of the advancement of hypotheses in a Fourier-holography layout,” Opt. Zh. 80, No. 3, 37 (2013) [J. Opt. Technol. 80, 154 (2013)].

Other (15)

A. V.  Pavlov, “On stipulating the characteristics of a concept during its inductive formation on neural networks with connections according to a Fourier-holography setup,” in Seventh International Scientific-Practical Conference on Integrated Models and Soft Computations in Artificial Intelligence. Collection of Scientific Papers (FIZMATLIT, Moscow, 2011), Vol. 1, pp. 349–359.

V. I.  Korogodin, Information and the Phenomenon of Life (Akad. Nauk SSSR, Pushchino, 1991).

Yu. L.  Klimontovich, Introduction to the Physics of Open Systems (Yanus-K, Moscow, 2002).

D. S.  Chernavskiĭ, Synergetics and Information. A Dynamic Theory of Information (URSS, Moscow, 2009).

I. R.  Prigogine, I.  Stengers, Das Paradox der Zeit. Zeit, Chaos und Quanten (Piper, 1993; KomKniga, Moscow, 2005).

A. V.  Pavlov, “Concerning the stipulation of the characteristics of the concept formed by a neural network with connections in Fourier space,” in Twelfth National Conference on Artificial Intelligence. Transactions of the Conference (Izd. BGTU, Belgorod, 2012), Vol. 1, pp. 358–366.

N. B.  Tushkanov, O. N.  Tushkanova, “Constructing multisensor systems: operating principles of the neocortex of the brain when recognizing objects of the external world,” in Transactions of the Congress on Intelligent Systems and Information Technologies, IS-IT’12 (FIZMATLIT, Moscow, 2012), Vol. 2, pp. 373–378.

S. P.  Springer, G.  Deutsch, Left Brain, Right Brain: Perspectives from Cognitive Neuroscience (W. H. Freeman, New York, 2001; Mir, Moscow, 1983).

O. P.  Kuznetsov, A. V.  Markovskıĭ, L. B.  Shipilina, Holographic Mechanisms for Processing Pattern Information (Inst. Problem Upravleniya, Moscow, 2007).

V. N.  Vagin, E. Yu.  Golovina, A. A.  Zagoryanskaya, M. V.  Fomina, The Reliability and Probability Approach in Intelligent Systems (FIZMATLIT, Moscow, 2008).

A. B.  Barskiĭ, Logical Neural Networks (Binom, Moscow, 2007).

O. D.  Chernavskaya, D. S.  Chernavskiĭ, A. P.  Nikitin, On a Possible Mechanism of “Intuitive” and “Logical” in Neural Computing (FIAN, Moscow, 2009).

I. B.  Fominykh, “On the technology of solving creative problems,” in Collected Transactions of the Eighth National Conference on Artificial Intelligence, KII-2002 (FIZMATLIT, Moscow, 2002), Vol. 1, pp. 519–526.

R. M.  Kronover, Fractals and Chaos in Dynamic Systems (Postmarket, Moscow, 2000).

V. P.  Leutin, E. I.  Nikolaeva, Functional Asymmetry of the Brain. Myths and Reality (Rech’, St. Petersburg, 2005).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.