Large Memory Capacity in Chaotic Artificial Neural Networks: A View of the Anti-Integrable Limit
暂无分享,去创建一个
[1] Shigetoshi Nara,et al. Memory search using complex dynamics in a recurrent neural network model , 1993, Neural Networks.
[2] Hong Zhao,et al. Designing asymmetric neural networks with associative memory. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.
[3] M. K. Ali,et al. PATTERN RECOGNITION IN A NEURAL NETWORK WITH CHAOS , 1998 .
[4] E. Zeidler. Nonlinear functional analysis and its applications , 1988 .
[5] Emilio Del-Moral-Hernandez,et al. Chaotic Neural Networks , 2009, Encyclopedia of Artificial Intelligence.
[6] Santosh S. Venkatesh,et al. The capacity of the Hopfield associative memory , 1987, IEEE Trans. Inf. Theory.
[7] Sompolinsky,et al. Storing infinite numbers of patterns in a spin-glass model of neural networks. , 1985, Physical review letters.
[8] P. Davis,et al. Chaotic wandering and search in a cycle-memory neural network , 1992 .
[9] Douglas Lind,et al. An Introduction to Symbolic Dynamics and Coding , 1995 .
[10] Teuvo Kohonen,et al. Self-Organization and Associative Memory , 1988 .
[11] Christian Van den Broeck,et al. Statistical Mechanics of Learning , 2001 .
[12] T. Kohonen. Self-Organized Formation of Correct Feature Maps , 1982 .
[13] I. Tsuda. Toward an interpretation of dynamic neural activity in terms of chaotic dynamical systems. , 2001, The Behavioral and brain sciences.
[14] Shun-ichi Amari,et al. Auto-associative memory with two-stage dynamics of nonmonotonic neurons , 1996, IEEE Trans. Neural Networks.
[15] Kazuyuki Aihara,et al. Threshold control of chaotic neural network , 2008, Neural Networks.
[16] Guanrong Chen,et al. Heteroclinical Repellers Imply Chaos , 2006, Int. J. Bifurc. Chaos.
[17] Kazuyuki Aihara,et al. Associative Dynamics in a Chaotic Neural Network , 1997, Neural Networks.
[18] Liu,et al. Associative memory with spatiotemporal chaos control. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[19] Shun-ichi Amari,et al. Statistical neurodynamics of associative memory , 1988, Neural Networks.
[20] Shun-ichi Amari,et al. Characteristics of sparsely encoded associative memory , 1989, Neural Networks.
[21] S. Aubry,et al. Chaotic trajectories in the standard map. The concept of anti-integrability , 1990 .
[22] Masahiro Nakagawa,et al. Statistical Properties of Chaos Associative Memory , 2001 .
[23] Shigetoshi Nara,et al. Novel tracking function of moving target using chaotic dynamics in a recurrent neural network model , 2008, Cognitive Neurodynamics.
[24] M.H. Hassoun,et al. Fundamentals of Artificial Neural Networks , 1996, Proceedings of the IEEE.
[25] L. Olsen,et al. Chaos in biological systems , 1985, Quarterly Reviews of Biophysics.
[26] Anders Krogh,et al. Introduction to the theory of neural computation , 1994, The advanced book program.
[27] J C Sprott,et al. Persistent chaos in high dimensions. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.
[28] Guanrong Chen,et al. On Chaotification of Discrete Systems , 2003, Int. J. Bifurc. Chaos.
[29] Teuvo Kohonen,et al. Self-organized formation of topologically correct feature maps , 2004, Biological Cybernetics.
[30] Michael Menzinger,et al. Bistable gradient networks. I. Attractors and pattern retrieval at low loading in the thermodynamic limit. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.
[31] D. J. Albers,et al. Structural stability and hyperbolicity violation in high-dimensional dynamical systems , 2004 .
[32] Guanrong Chen,et al. Generalized snap-back repeller and semi-conjugacy to shift operators of piecewise continuous transformations , 2007 .
[33] S. Aubry,et al. Breathers in nonlinear lattices: existence, linear stability and quantization , 1997 .
[34] Masahiko Morita,et al. Capacity of associative memory using a nonmonotonic neuron model , 1993, Neural Networks.
[35] C. Robinson. Dynamical Systems: Stability, Symbolic Dynamics, and Chaos , 1994 .
[36] Steven H. Strogatz,et al. Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering , 1994 .
[37] J. J. Hopfield,et al. ‘Unlearning’ has a stabilizing effect in collective memories , 1983, Nature.
[38] Masahiro Nakagawa. A Novel Chaos Neuron Model with a Periodic Mapping , 1997 .
[39] K. Aihara,et al. Associative dynamics in chaotic neural networks , 1991, [Proceedings] 1991 IEEE International Joint Conference on Neural Networks.
[40] Sommers,et al. Chaos in random neural networks. , 1988, Physical review letters.
[41] Bruno A. Olshausen,et al. Book Review , 2003, Journal of Cognitive Neuroscience.
[42] James D. Meiss,et al. Homoclinic bifurcations for the Hénon map , 1999, chao-dyn/9904019.
[43] Steven H. Strogatz,et al. Nonlinear Dynamics and Chaos , 2024 .
[44] J J Hopfield,et al. Neural networks and physical systems with emergent collective computational abilities. , 1982, Proceedings of the National Academy of Sciences of the United States of America.
[45] S. Nara. Can potentially useful dynamics to solve complex problems emerge from constrained chaos and/or chaotic itinerancy? , 2003, Chaos.
[46] James D. Meiss,et al. Computing periodic orbits using the anti-integrable limit , 1998, chao-dyn/9802014.
[47] Kazuyuki Aihara,et al. Strange attractors in chaotic neural networks , 2000 .
[48] Jack W. Tsao,et al. Observed brain dynamics, P.P. Mitra, H. Bokil. Oxford University Press (2008), ISBN-13: 978-0-19-517808-1, 381 pages, $65.00 , 2009 .
[49] Ichiro Tsuda,et al. Dynamic link of memory--Chaotic memory map in nonequilibrium neural networks , 1992, Neural Networks.
[50] Kanter,et al. Neural networks and the solution of nonlinear equations. , 1990, Physical review letters.
[51] Kazuyuki Aihara,et al. Global searching ability of chaotic neural networks , 1999 .
[52] K. Aihara,et al. Chaos and asymptotical stability in discrete-time neural networks , 1997, chao-dyn/9701020.
[53] Teuvo Kohonen,et al. Self-organization and associative memory: 3rd edition , 1989 .
[54] Masahiko Morita,et al. Associative memory with nonmonotone dynamics , 1993, Neural Networks.
[55] James D. Meiss,et al. Cantori for symplectic maps near the anti-integrable limit , 1992 .
[56] Kazuyuki Aihara,et al. Global bifurcation structure of chaotic neural networks and its application to traveling salesman problems , 1995, Neural Networks.
[57] Nonlinear functional analysis and its applications, part I: Fixed-point theorems , 1991 .
[58] Jason Brownlee,et al. Complex adaptive systems , 2007 .
[59] B. Cessac,et al. Mean-field equations, bifurcation map and route to chaos in discrete time neural networks , 1994 .
[60] D. J. Albers,et al. Mathematik in den Naturwissenschaften Leipzig Routes to chaos in high-dimensional dynamical systems : a qualitative numerical study , 2006 .
[61] Yi-Chiuan Chen. Bernoulli shift for second order recurrence relations near theanti-integrable limit , 2005 .
[62] Robert S. MacKay,et al. Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators , 1994 .
[63] Ping Zhu,et al. Controlling chaos in a chaotic neural network , 2003, Neural Networks.
[64] Kazuyuki Aihara,et al. Chaotic simulated annealing by a neural network model with transient chaos , 1995, Neural Networks.
[65] Ping Zhu,et al. CONTROLLING CHAOS IN A NEURAL NETWORK BASED ON THE PHASE SPACE CONSTRAINT , 2003 .