Neural signal-detection noise benefits based on error probability

Proceedings of the International Joint Conference on Neural Networks

Volumn , Issue , 2009, Pages 2423-2430

  Patel, Ashok ^a   Kosko, Bart ^a  

^a University of Southern California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED FORM; CONTINUOUS DISTRIBUTION; DETECTION NOISE; DETECTION THRESHOLD; DISCRETE BINARY; ERROR PROBABILITIES; NEURAL SIGNALS; NOISE DENSITY; NOISE TYPES; OPTIMAL NOISE; PROBABILITY DENSITIES; SIGNAL DENSITY; SUFFICIENT CONDITIONS; THRESHOLD DETECTION;

ERROR DETECTION; LEARNING ALGORITHMS; LEARNING SYSTEMS; NEURAL NETWORKS; PROBABILITY;

SIGNAL DETECTION;

EID: 68149183739     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/IJCNN.2009.5179058     Document Type: Conference Paper

References (43)

1. A. Aldo Faisal, P. J. Selen, D. M. Wolpert, "Noise in the nervous system, " Nature Reviews Neuroscience, vol. 9, pp. 292-303, 2008.
2. A. R. Bulsara, E. W. Jacobs, T. Zhou, F. Moss, and L. Kiss, "Stochastic Resonance in a Single Neuron Model: Theory and Analog Simulation, " Journal of Theoretical Biology, vol. 152, pp. 531-555, 1991.
3. G. Casella and R. L. Berger, Statistical Inference, 2nd edition, Duxbury Press, 2001.
4. F. Chapeau-Blondeau and D. Rousseau, "Noise-enhanced performance for an optimal Bayesian estimator, " IEEE Transactions on Signal Processing, vol. 52, pp. 1327-1334, 2004.
5. G. Deco and B. Schurmann, "Stochastic Resonance in the Mutual Information Between Input and Output Spike Trains of Noisy Central Neurons", Physica D, vol. 117, pp. 276-282, 1998.
6. G. B. Folland, Real Analysis: Modern Techniques and Their Applications, 2nd edition, Wiley-Interscience, 1999.
7. L. Gammaitoni, "Stochastic resonance and the dithering effect in threshold physical systems, " Physical Review E, vol. 52, No. 5, pp. 4691-4698, 1995.
8. M. Grigoriu, Applied Non-Gaussian Processes, Englewood Cliffs, NJ: Prentice Hall, 1995.
9. P. Hanggi, "Stochastic resonance in biology: How noise can enhance detection of weak signals and help improve biological information processing, " Chemphyschem, vol. 3, pp. 285-290, 2002.
10. S. Kay, "Can detectability be improved by adding noise?" IEEE Signal Processing Letters, vol. 7, pp. 8-10, 2000.
11. S. Kay, J. H. Michels, H. Chen, and P. K. Varshney, "Reducing Probability of Decision Error using Stochastic Resonance, " IEEE Signal Processing Letters, vol. 13, no. 11, pp. 695-698, 2006.
12. B. Kosko, Noise, Viking/Penguin, 2006.
13. B. Kosko and S. Mitaim, "Stochastic resonance in noisy threshold neurons, " Neural Networks, vol. 14, no. 6-7, pp. 755-761, 2003.
14. B. Kosko and S. Mitaim, "Robust stochastic resonance for Simple threshold neurons, " Physical Review E, vol. 70, 031911-1-031911-10, 2004.
15. L. Laer, M. Kloppstech, C. Schorl, T. J. Sejnowski, G. Brabant, and K. Prank, "Noise enhanced hormonal signal transduction through intracellular calcium oscillations, " Biophysical Chemistry, vol. 91, pp. 157-166, 2001.
16. W. B. Levy and R. A. Baxter, "Energy-Efficient Neural Computation via Quantal Synaptic Failures, " Journal of Neuroscience, vol. 22, no. 11, pp. 4746-4755, 2002.
17. H. Li, A Hou, and H. Xin, "Internal noise enhanced detection of hormonal signal through intracellular calcium oscillations, " Chemical Physics Letters, vol. 402, pp. 444-449, 2005.
18. A. Manwani and C. Koch "Detecting and estimating signals in noisy cable structures, I: Neuronal noise sources, " Neural Computation, vol. 11, pp. 1797-1829, 1999.
19. H. Markram, and M. Tsodyks, "Redistribution of synaptic efficacy between neocortical pyramidal neurons, " Nature, vol. 382, pp. 807-810, 1996.
20. M. D. McDonnell, N. G. Stocks, C. E. M. Pearce, D. Abbott, "Optimal information transmission in nonlinear arrays through suprathreshold stochastic resonance"', Physics Letters A, vol. 352, pp. 183-189, 2006.
21. S. Mitaim and B. Kosko, "Adaptive stochastic resonance, " Proceedings of the IEEE: Special Issue on Intelligent Signal Processing, vol. 86, no. 11, pp. 2152-2183, 1998.
22. S. Mitaim and B. Kosko, "Adaptive Stochastic Resonance in Noisy Neurons Based on Mutual Information" IEEE Transactions on Neural Networks, vol. 15, no. 6, pp. 1526-1540, 2004.
23. F. Moss, L. M. Ward, and W. G. Sannita, "Stochastic resonance and sensory information processing: A tutorial and review of applications, " Clinical Neurophysiology, vol. 115, No. 2, pp. 267-281, 2004.
24. M.-Y. Min and K. Appenteng, "Multimodal distribution of amplitudes of miniature and spontaneous EPSP recorded in rat trigeminal motoneurones, " Journal of Physiology, vol. 494, no. 1, pp. 171-182, 1996.
25. C. L. Nikias and M. Shao, Signal Processing with Alpha-Stable Distributions and Applications, John Wiley and Sons, New York, 1995.
26. E. Pantazelou, C. Dames, F. Moss, J. Douglass, and L. Wilkens, "Temperature dependence and the role of internal noise in signal transduction efficiency of crayfish mechanoreceptors, International Journal of Bifurcation and Chaos, vol. 5, pp. 101108, 1995.
27. A. Patel and B. Kosko, "Stochastic Resonance in noisy spiking retinal and sensory Neuron Models, " Neural Networks, vol. 18, pp. 467-478, 2005.
28. A. Patel and B. Kosko, "Optimal noise benefits in Neyman-Pearson signal detection, " IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2008, pp. 3889-3892, April 2008.
29. A. Patel and B. Kosko, "Stochastic Resonance in Continuous and Spiking Neuron Models with Levy Noise, " IEEE Transactions on Neural Networks, vol. 19, no. 12, pp. 1993-2008, December 2008.
30. J. G. Proakis and M. Salehi, Digital Communications, 5th edition, McGraw Hill, 2008.
31. C. V. Rao, D. M. Wolf, and A. P. Arkin, "Control, exploitation and tolerance of intracellular noise, " Nature, vol. 420, pp. 231237, 2002.
32. D. Rousseau and F. Chapeau-Blondeau, "Stochastic resonance and improvement by noise in optimal detection strategies", Digital Signal Processing, vol. 15, pp. 19-32, 2005.
33. A. A. Saha and G. V. Anand, "Design of detectors based on stochastic resonance, " Signal Processing, vol. 83 No. 6, pp. 1193-1212, 2003.
34. E. Schneidman, B. Freedman, and I. Segev, "Ion channel stochasticity may be critical in determining the reliability and precision of spike timing, " Neural Computation, vol. 10, pp. 1679-1703, 1998.
35. W. C. Stacey and D. M. Durand, "Stochastic resonance improves signal detection in Hippocampal CA1 neurons, " Journal of Neurophysiology, vol. 83, pp. 1394-1402, 2000.
36. N. G. Stocks, "Information transmission in parallel threshold arrays: Suprathreshold stochastic resonance, " Physical Review E, vol. 63, 041114-1-041114-9, 2001.
37. N. G. Stocks, D. Appligham, and R. P. Morse, "The application of suprathreshold stochastic resonance to cochlear implant coding, " Fluctuation and Noise Letters, vol. 2, No. 3, L169-L181, September 2002.
38. W. Wang and Z. D. Wang, "Internal-noise-enhanced signal transduction in neuronal systems, " Physical review E, vol. 55, no. 6, June 1997.
39. K. Wiesenfeld and F. Moss, "Stochastic resonance and the benefits of noise: From ice ages to crayfish and SQUIDS, " Nature, vol. 373, pp. 33-36, 1995.
40. K. Wimmer, K. J. Hildebrandt, R. M. Hennig, and K. Obermayer, "Adaptation and Selective Information Transmission in the Cricket Auditory Neuron AN2, " PLoS Computational Biology, vol. 4, no. 9, el000182, September 2008.
41. J. A. White, J. T. Rubinstein, A. R. Kay, "Channel noise in neurons, " Trends in Neuroscience, vol. 23, pp. 131-137, 2000.
42. A. H. Zemanian, "Distribution theory and transform analysis: an introduction to generalized functions, with applications", McGraw-Hill, New York, 1965.
43. S. Zozor, P. O. Amblard, M. D. McDonnell, and N. G. Stocks, "Pooling networks for a discrimination task: noise-enhanced detection, " Proceedings of SPIE, vol. 6602, 66020S-1-12, June 2007.