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Overcoming Catastrophic Interference in Connectionist Networks Using Gram-Schmidt Orthogonalization

机译:使用克-施密特正交化技术克服连接网络中的灾难性干扰

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摘要

Connectionist models of memory storage have been studied for many years, and aim to provide insight into potential mechanisms of memory storage by the brain. A problem faced by these systems is that as the number of items to be stored increases across a finite set of neurons/synapses, the cumulative changes in synaptic weight eventually lead to a sudden and dramatic loss of the stored information (catastrophic interference, CI) as the previous changes in synaptic weight are effectively lost. This effect does not occur in the brain, where information loss is gradual. Various attempts have been made to overcome the effects of CI, but these generally use schemes that impose restrictions on the system or its inputs rather than allowing the system to intrinsically cope with increasing storage demands. We show here that catastrophic interference occurs as a result of interference among patterns that lead to catastrophic effects when the number of patterns stored exceeds a critical limit. However, when Gram-Schmidt orthogonalization is combined with the Hebb-Hopfield model, the model attains the ability to eliminate CI. This approach differs from previous orthogonalisation schemes used in connectionist networks which essentially reflect sparse coding of the input. Here CI is avoided in a network of a fixed size without setting limits on the rate or number of patterns encoded, and without separating encoding and retrieval, thus offering the advantage of allowing associations between incoming and stored patterns.PACS Nos.: 87.10.+e, 87.18.Bb, 87.18.Sn, 87.19.La
机译:记忆存储的连接主义模型已经研究了很多年,旨在提供对大脑记忆存储潜在机制的见解。这些系统面临的一个问题是,随着有限的一组神经元/突触中要存储的项数增加,突触权重的累积变化最终导致所存储信息的突然和戏剧性丢失(灾难性干扰,CI)因为以前的突触重量改变有效地消失了。在逐渐丢失信息的大脑中不会发生这种影响。已经进行了各种尝试来克服CI的影响,但是这些方法通常使用对系统或其输入施加限制的方案,而不是使系统本质上应付不断增长的存储需求。我们在这里显示出灾难性干扰是由于模式之间的干扰而导致的,当存储的模式数量超过临界限制时,灾难性干扰会导致灾难性影响。但是,当Gram-Schmidt正交化与Hebb-Hopfield模型结合使用时,该模型具有消除CI的能力。这种方法不同于以前在连接器网络中使用的正交化方案,后者基本上反映了输入的稀疏编码。此处,在固定大小的网络中避免了CI,而无需设置编码模式的速率或数量的限制,并且无需分离编码和检索,因此具有允许传入和存储的模式之间关联的优点.PACS号:87.10。+ e,87.18.Bb,87.18.Sn,87.19.La

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