Abstract
Neural networks are applied now in many fields. It is de facto efficient and flexible tool for analysis, which could be applied where other traditional approaches are impossible. It also gives new knowledge on the basis of data analysis. In this paper, traditional regression approach is considered in comparison with neural network for regional attenuation model assessment - peak ground acceleration (PGA) variation with magnitude and hypocentral distance. Such a simple set of parameters is not usual for neural networks, but simple, and result differences are clear. Dataset was prepared on the base of K-net network data. Records of stations with Vs 30 > 700 m/s were used. Accelerations have wide dispersion, and both of the approaches gave different results: when regression is forced by a given form of linear combination, neural network is more flexible. For example, it was found that for magnitude M = 4, in close distances R > 10 km PGA(R) curve is close to M < 4 curves, and for R > 10 km has the same manner as M > 4 curves. So M = 4, R = 10 km is some kind of “point of inflection” between near field and far field zones.
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References
Abramson, N., Braverman, D.: Learning to recognize patterns in a random environment. IRE Trans. Inf. Theor. 8(5), 58–63 (1962). https://doi.org/10.1109/TIT.1962.1057775
Abramson, N., Braverman, D., Sebastian, G.: Pattern recognition and machine learning. IRE Trans. Inf. Theor. 9(4), 257–261 (1963). https://doi.org/10.1109/TIT.1962.1057775
McCulloch, W.S., Pitts, W.: A logical calculus of the ideas immanent in nervous activity. Bull. Math. Biophys. 5(4), 115–133 (1943). https://doi.org/10.1016/s0092-8240(05)80006-0
Hebb, D.O.: The organization of behavior: a neuropsychological theory. Brain Res. Bull. 50(5–6), 437 (1999). https://doi.org/10.1016/s0361-9230(99)00182-3
Rosenblatt, F.: The perceptron: a probabilistic model for information storage and organization in the brain. Psychol. Rev. 65, 386–408 (1958). https://doi.org/10.1037/h0042519
Rosenblatt, F.: Principles of Neurodynamics. Brain Theor. Spartan, 245–248 (1962). https://doi.org/10.1007/978-3-642-70911-1_20
Widrow, B., Hoff, M.E.: Adaptive switching circuits. WESCON Conf. 4, 96–104 (1960). https://doi.org/10.21236/ad0241531
Steinbuch, K.: Die lernmatrix. Kybernetik (Biological Cybernetics) 1, 36–45 (1961). https://doi.org/10.1007/bf00293853
Rosenblatt, F.: Perceptron simulation experiments. Invest. Reporters Editors Conf. 42(3), 301–309 (1960). https://doi.org/10.1109/JRPROC.1960.287598
Minsky, M., Papert, S.: Perceptrons. MIT Press, Cambridge (1969). https://doi.org/10.7551/mitpress/11301.001.0001
Kohonen, T.: Correlation matrix memories. IEEE Trans. Comput. C-21(4), 353–359 (1972). https://doi.org/10.1109/tc.1972.5008975
Anderson, J.A.: A simple neural network generating an interactive memory. Math. Biosci. 14, 197–220 (1972). https://doi.org/10.1016/0025-5564(72)90075-2
Grossberg, S.: Adaptive pattern classification and universal recoding: I. Parallel development and coding of neural feature detectors. Biol. Cybern. 23, 121–134 (1976). https://doi.org/10.1007/bf00344744
Kohonen, T.: Self-organized formation of topologically correct feature maps. Biol. Cybern. 43, 59–69 (1982). https://doi.org/10.1007/bf00337288
Kohonen, T.: The self-organizing map. Neurocomputing 21, 1–6 (1998). https://doi.org/10.1109/5.58325
Hopfield, J.J.: Neural networks and physical systems with emergent collective computational abilities. Proc. Natl. Acad. Sci. 79, 2554–2558 (1982). https://doi.org/10.1201/9780429500459-2
Fukushima, K., Miyake, S., Ito, T.: Neocognitron: a neural network model for a mechanism of visual pattern recognition. IEEE Trans. Syst. Man Cybern. 13, 826–834 (1983). https://doi.org/10.1109/tsmc.1983.6313076
Hubel, D.H., Wiesel, T.N.: Receptive fields, binocular interaction and functional architecture in the cat’s visual cortex. J. Physiol. 160(1), 106–154 (1962). https://doi.org/10.1113/jphysiol.1962.sp006837
Rumelhart, D., Hinton, G., Williams, R.: Learning representations by backpropagating errors. Nature 323, 533–536 (1986). https://doi.org/10.1038/323533a0
Granichin, O., Volkovich, V., Toledano-Kitai, D.: Randomized algorithms in automatic control and data mining. Springer (2015). https://doi.org/10.1007/978-3-642-54786-7
Angelini, L., Carlo, F., Marangi, C., Pellicoro, M., Nardullia, M., Stramaglia, S.: Clustering data by inhomogeneous chaotic map lattices. Phys. Rev. Lett. 85, 78–102 (2000). https://doi.org/10.1103/physrevlett.85.554
LeCun, Y.: Backpropagation applied to handwritten zip code recognition. Neural Comput. 1(4), 541–551 (1989). https://doi.org/10.1162/neco.1989.1.4.541
Hinton, G.E., Osindero, S., Teh, Y.-W.: A fast learning algorithm for deep belief nets. Neural Comput. 18(7), 1527–1557 (2006). https://doi.org/10.1162/neco.2006.18.7.1527
Schmidhuber, J.: Deep learning in neural networks: an overview. Neural Netw. 61, 85–117 (2015). https://doi.org/10.1016/j.neunet.2014.09.003
Baccouche, M., Mamalet, F., Wolf, C., Garcia, C., Baskurt, A.: Sequential deep learning for human action recognition. In: 2nd International Workshop on Human Behavior Understanding (HBU). Lecture Notes in Computer Science, vol. 7065, pp. 29–39. Springer, Amsterdam, Netherlands (2011). https://doi.org/10.1007/978-3-642-25446-8_4
Ambraseys, N.N.: The prediction of earthquake peak ground acceleration in Europe. Earthq. Eng. Struct. Dyn. 24, 467–490 (1995). https://doi.org/10.1002/eqe.4290240402
Zaalishvili, V.B.: Measurement and recording equipment for seismic microzoning. Meas. Tech. 58(12), 1297–1303 (2016). https://doi.org/10.1007/s11018-016-0888-2
Shempelev, A.G., Zaalishvili, V.B., Kukhmazov, S.U.: Deep structure of the western part of the Central Caucasus from geophysical data. Geotectonics 51(5), 479–488 (2017). https://doi.org/10.1134/S0016852117050053
Zaalishvili, V.B., Morozov, F.S., Tuaev, G.E.: Integrated Instrumental monitoring of hazardous geological processes under the kazbek volcanic center. Int. J. GEOMATE 15(47), 158–163 (2018). https://doi.org/10.21660/2018.47.20218
Chotchaev, K.O., Zaalishvili, V.B., Magkoev, T.T., Melkov, D.A., Nikolaev, A.V., Svalova, V.B., Arkhireeva, I.G., Dzeranov, B.V.: Physical fields as derivative of deformation of rock massif and technology of their monitoring. In: Advances in Engineering Research 182. VIII All-Russian Science and Technology Conference “Contemporary Issues of Geology, Geophysics and Geoecology of the North Caucasus” (CIGGG 2018), pp. 62–67. Vlaikavkaz (2019). https://doi.org/10.2991/ciggg-18.2019.12
Chotchaev, K.O., Zaalishvili, V.D., Shempelev, A.G., Melkov, D.A., Burdzieva, O.G., Parada, S.G., Dzeranov, B.V., Dzhgamadze, A.K.: Geodynamic situation in central caucasus and structural complexes on depth section of genaldon profile. In: Advances in Engineering Research 182. VIII All-Russian Science and Technology Conference “Contemporary Issues of Geology, Geophysics and Geoecology of the North Caucasus” (CIGGG 2018), pp. 325–331, Vladikavkaz (2019). https://doi.org/10.2991/ciggg-18.2019.62
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Zaalishvili, V., Melkov, D. (2021). Regional Attenuation Relationships: Regression vs Neural Network Analysis. In: Murgul, V., Pukhkal, V. (eds) International Scientific Conference Energy Management of Municipal Facilities and Sustainable Energy Technologies EMMFT 2019. EMMFT 2019. Advances in Intelligent Systems and Computing, vol 1259. Springer, Cham. https://doi.org/10.1007/978-3-030-57453-6_7
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