Dynamics of neural networks over undirected graphs

Neural Networks - Tập 63 - Trang 156-169 - 2015
Eric Goles1, Gonzalo A. Ruz1,2
1Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Av. Diagonal Las Torres 2640, Santiago, Chile
2Center of Applied Ecology and Sustainability (CAPES), Santiago, Chile

Tài liệu tham khảo

Anafi, 2010, Balancing robustness against the dangers of multiple attractors in a Hopfield-type model of biological attractors, PLoS One, 5, e14413, 10.1371/journal.pone.0014413 Aracena, 2004, Positive and negative circuits in discrete neural networks, IEEE Transactions on Neural Networks, 15, 77, 10.1109/TNN.2003.821555 Aracena, 2009, On the robustness of update schedules in Boolean networks, BioSystems, 97, 1, 10.1016/j.biosystems.2009.03.006 Barahona, 1982, On the computational complexity of ising spin glass models, Journal of Physics A, 3241, 10.1088/0305-4470/15/10/028 Barra, 2012, On the equivalence of Hopfield networks and Boltzmann machines, Neural Networks, 34, 1, 10.1016/j.neunet.2012.06.003 Bornholdt, 2008, Boolean network models of cellular regulation: prospects and limitations, Journal of the Royal Society Interface, 5, S85, 10.1098/rsif.2008.0132.focus Castellano, 2009, Statistical physics of social dynamics, Physical Review Letters, 591 Cosnard, 1997, Discrete state neural networks and energies, Neural Networks, 10, 327, 10.1016/S0893-6080(96)00081-0 Davidich, 2008, Boolean network model predicts cell cycle sequence of fission yeast, PLoS One, 3, e1672, 10.1371/journal.pone.0001672 Garey, 1979 Goles, 1982, Fixed point behavior of threshold functions on a finite set, SIAM Journal on Algebraic and Discrete Methods, 3, 529, 10.1137/0603054 Goles, 2003, Energy functionals for neural networks, 402 Goles, 1990 Goles, E., & Matamala, M. (1993). Complexity of block-sequential update for symmetric neural networks. In Proc. IJCNN’93, Nagoya, Japan (pp. 1469–1472). Goles, 2013, Deconstruction and dynamical robustness of regulatory networks: application to the yeast cell cycle networks, Bulletin of Mathematical Biology, 75, 939, 10.1007/s11538-012-9794-1 Goles, 2014, Computational complexity of automata networks under different updating schemes, Theoretical Computer Science, 10.1016/j.tcs.2014.09.010 Goles, 2014, The Complexity of the majority rule on planar graphs, Advances in Applied Mathematics Goles, 2013, The complexity of the bootstraping percolation and other problems, Theoretical Computer Science, 504, 73, 10.1016/j.tcs.2012.08.001 Goles, 2012, Disjunctive networks and update schedules, Advances in Applied Mathematics, 48, 646, 10.1016/j.aam.2011.11.009 Goles, 1980, Periodic behavior of generalized threshold functions, Discrete Mathematics, 30, 187, 10.1016/0012-365X(80)90121-1 Goles-Chacc, 1985, Decreasing energy functions as a tool for studying threshold networks, Discrete Applied Mathematics, 12, 261, 10.1016/0166-218X(85)90029-0 Goles-Domic, 2011, Dynamics and complexity of the schelling segregation model, Physical Review E, 83, 056111, 10.1103/PhysRevE.83.056111 Hadlock, 1975, Finding a maximum cut of a planar graph in polynomial time, SIAM Journal of Computing, 4, 221, 10.1137/0204019 Hardy, 2008 Hopfield, 1982, Neural networks and physical systems with emergent collective computational abilities, Proceedings of the National Academy of Sciences, 79, 2554, 10.1073/pnas.79.8.2554 Kiwi, 1994, No polynomial bound for the period of the parallel chip firing game on graphs, Theoretical Computer Science, 136, 527, 10.1016/0304-3975(94)00131-2 Li, 2004, The yeast cell-cycle network is robustly designed, Proceedings of the National Academy of Sciences, 101, 4781, 10.1073/pnas.0305937101 Maetschke, 2014, Characterizing cancer subtypes as attractors of Hopfield networks, Bioinformatics, 30, 1273, 10.1093/bioinformatics/btt773 Montalva, 2011 Moore, 2011 Mortveit, 2012, Limit cycle structure for block-sequential threshold systems, 672 Noual, 2012 Pajares, 2010, A Hopfield neural network for combining classifiers applied to textured images, Neural Networks, 23, 144, 10.1016/j.neunet.2009.07.019 Robert, 1986 Ruz, 2014, Dynamical and topological robustness of the mammalian cell cycle network: a reverse engineering approach, BioSystems, 115, 23, 10.1016/j.biosystems.2013.10.007