Nonequilibrium landscape theory of neural networks

	Nonequilibrium landscape theory of neural networks
	Yan H ; Zhao L ; Hu L ; Wang XD ; Wang EK ; Wang J
刊名	proceedings of the national academy of sciences of the united states of america
	2013
卷号	110 期号:45 页码:e4185-e4194
关键词	RECIPROCAL INTERACTION-MODEL CENTRAL PATTERN GENERATORS EYE-MOVEMENT SLEEP REM CYCLE CONTROL WORKING-MEMORY POTENTIAL LANDSCAPE ASSOCIATIVE MEMORY DYNAMICS OSCILLATIONS COMPUTATION
ISSN号	0027-8424
通讯作者	wang j
中文摘要	the brainmap project aims tomap out the neuron connections of the human brain. even with all of the wirings mapped out, the global and physical understandings of the function and behavior are still challenging. hopfield quantified the learning andmemory process of symmetrically connected neural networks globally through equilibrium energy. the energy basins of attractions represent memories, and the memory retrieval dynamics is determined by the energy gradient. however, the realistic neural networks are asymmetrically connected, and oscillations cannot emerge from symmetric neural networks. here, we developed a nonequilibrium landscape- flux theory for realistic asymmetrically connected neural networks. we uncovered the underlying potential landscape and the associated lyapunov function for quantifying the global stability and function. we found the dynamics and oscillations in human brains responsible for cognitive processes and physiological rhythm regulations are determined not only by the landscape gradient but also by the flux. we found that the flux is closely related to the degrees of the asymmetric connections in neural networks and is the origin of the neural oscillations. the neural oscillation landscape shows a closed- ring attractor topology. the landscape gradient attracts the network down to the ring. the flux is responsible for coherent oscillations on the ring. we suggest the flux may provide the driving force for associations among memories. we applied our theory to rapid- eye movement sleep cycle. we identified the key regulation factors for function through global sensitivity analysis of landscape topography against wirings, which are in good agreements with experiments.
收录类别	SCI收录期刊论文
语种	英语
WOS记录号	WOS:000326550800008
公开日期	2014-04-15
内容类型	期刊论文
源URL	[http://ir.ciac.jl.cn/handle/322003/49487]
专题	长春应用化学研究所_长春应用化学研究所知识产出_期刊论文
推荐引用方式 GB/T 7714	Yan H,Zhao L,Hu L,et al. Nonequilibrium landscape theory of neural networks[J]. proceedings of the national academy of sciences of the united states of america,2013,110(45):e4185-e4194.
APA	Yan H,Zhao L,Hu L,Wang XD,Wang EK,&Wang J.(2013).Nonequilibrium landscape theory of neural networks.proceedings of the national academy of sciences of the united states of america,110(45),e4185-e4194.
MLA	Yan H,et al."Nonequilibrium landscape theory of neural networks".proceedings of the national academy of sciences of the united states of america 110.45(2013):e4185-e4194.