Hopfield J J, Brody C D
Department of Molecular Biology, Princeton University, Princeton, NJ 08544-1014, USA.
Proc Natl Acad Sci U S A. 2001 Jan 30;98(3):1282-7. doi: 10.1073/pnas.98.3.1282. Epub 2001 Jan 23.
A previous paper described a network of simple integrate-and-fire neurons that contained output neurons selective for specific spatiotemporal patterns of inputs; only experimental results were described. We now present the principles behind the operation of this network and discuss how these principles point to a general class of computational operations that can be carried out easily and naturally by networks of spiking neurons. Transient synchrony of the action potentials of a group of neurons is used to signal "recognition" of a space-time pattern across the inputs of those neurons. Appropriate synaptic coupling produces synchrony when the inputs to these neurons are nearly equal, leaving the neurons unsynchronized or only weakly synchronized for other input circumstances. When the input to this system comes from timed past events represented by decaying delay activity, the pattern of synaptic connections can be set such that synchronization occurs only for selected spatiotemporal patterns. We show how the recognition is invariant to uniform time warp and uniform intensity change of the input events. The fundamental recognition event is a transient collective synchronization, representing "many neurons now agree," an event that is then detected easily by a cell with a small time constant. If such synchronization is used in neurobiological computation, its hallmark will be a brief burst of gamma-band electroencephalogram noise when and where such a recognition event or decision occurs.
之前的一篇论文描述了一个由简单积分发放神经元组成的网络,该网络包含对特定时空输入模式具有选择性的输出神经元;文中仅描述了实验结果。我们现在阐述这个网络运行背后的原理,并讨论这些原理如何指向一类可以由脉冲神经元网络轻松自然地执行的通用计算操作。一组神经元动作电位的瞬时同步用于表示对这些神经元输入上的时空模式的“识别”。当这些神经元的输入几乎相等时,适当的突触耦合会产生同步,而在其他输入情况下,神经元则不同步或仅微弱同步。当该系统的输入来自由衰减延迟活动表示的定时过去事件时,可以设置突触连接模式,使得仅对选定的时空模式发生同步。我们展示了这种识别对于输入事件的均匀时间扭曲和均匀强度变化是不变的。基本的识别事件是一个瞬时的集体同步,表示“许多神经元现在达成一致”,然后一个时间常数较小的细胞可以轻松检测到这个事件。如果这种同步用于神经生物学计算,其标志将是在这种识别事件或决策发生的时间和地点出现一阵短暂的伽马波段脑电图噪声。