Adaptive Clipping for Neural Associative Memories

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基于基因算法的模糊联想记忆设计方法

本文提出了一种用基因算法来进行模糊联想记忆系统设计的方法－基因ＦＡＭ法。同自适应模糊联想记忆和神经网络设计方法相比，该方法不要求有训练样本；而且可以设计出的ＦＡＭ系统最后，举例说明了该方法的应用。     

综合联想记忆神经网络的外积取等准则

本文提出了一个新的联想记忆设计准则，即外积取等准则，它具有外积和准则的所有优点。由外积取等准则设计出的联想记忆网络能够存储任意给定的训练模式，即对于训练模式的数目和它们之间相关性的强弱没有限制。外积取等准则可用来定量地评价记忆模式向量各分量对于记忆模式分类或识别的重要性。由外积取等准则设计出的网络的连接权值只取１、０或－１，因而网络易于光学实现。计算机实验结果充分说明了外积取等准则的有效性。     

基于耦合的混沌神经网络建模方法

混沌状态下神经网络行为的研究是神经网络理论的一个新内容，由于它可能揭示脑活动的深层机制而广受重视，但是混沌网络信息处理能力进行大量和深入研究却遇到许多障碍，其问题之一是难以为网络系统选择适当的非线性参数。本文提出一种建立混沌神经网络模型的简单耦合方法，解决了选择参数的困难，计算机模拟结果表明，用该模型研究混沌状态下网络动态行为是有效的。     

Three garnet compositions for bubble domain memories

The choice of magnetic garnet compositions for bubble memories is always a compromise dictated by the material requirements generated by the specifications on the memories. The three compositions reported, Y_2.62Sm_o.38Fe_3.85Ga_1.15O₁₂, Gd_2.lLu_O.9Fe_4.4Al_0.6O₁₂, and Y_l.92Sm_0.1Ca_0.98Fe_4.02Ge_0.98O₁₂, represent three examples of such a compromise. The first composition is excellent for use in circuits operating at 100 KH_z over a temperature range of -20° to 80°C. The second has a mobility up to 5000 cm/sec/0e and is capable of very high speed operation at the sacrifice of stability toward temperature. The third exhibits excellent stability toward temperature and has operated at 1 MHz but is compositionally more complex. Melt compositions for film growth and a summary of magnetic properties are presented for the three compositions. Factors to be weighed in composition selection for bubble domain memories are discussed.     

Calibrated Subbundles in Noncompact Manifolds of Special Holonomy

This paper is a continuation of Math. Res. Lett. 12 (2005), 493–512. We first construct special Lagrangian submanifolds of the Ricci-flat Stenzel metric (of holonomy SU(n)) on the cotangent bundle of Sⁿ by looking at the conormal bundle of appropriate submanifolds of Sⁿ. We find that the condition for the conormal bundle to be special Lagrangian is the same as that discovered by Harvey–Lawson for submanifolds in Rⁿ in their pioneering paper, Acta Math. 148 (1982), 47–157. We also construct calibrated submanifolds in complete metrics with special holonomy G₂ and Spin(7) discovered by Bryant and Salamon (Duke Math. J. 58 (1989), 829–850) on the total spaces of appropriate bundles over self-dual Einstein four manifolds. The submanifolds are constructed as certain subbundles over immersed surfaces. We show that this construction requires the surface to be minimal in the associative and Cayley cases, and to be (properly oriented) real isotropic in the coassociative case. We also make some remarks about using these constructions as a possible local model for the intersection of compact calibrated submanifolds in a compact manifold with special holonomy. Mathematics Subject Classification (2000): 53-XX, 58-XX.     

SONOS非易失性存储器件研究进展

随着半导体存储器件的小型化、微型化,传统多晶硅浮栅存储因为叠层厚度过大,对隧穿氧化层绝缘性要求过高而难以适应未来存储器的发展要求。最近,基于绝缘性能优异的氮化硅的SONOS非易失性存储器件,以其相对于传统多晶硅浮栅存储器更强的电荷存储能力、易于实现小型化和工艺简单等特性而重新受到重视。文章论述了SONOS非易失性存储器件的存储原理和存储性能的影响因素研究进展,并在材料、工艺与结构设计等方面对SONOS存储器件性能改进的研究进展情况进行了分析和讨论。     

Compatible associative bialgebras

We introduce a non-symmetric operad 𝒩, whose dimension in degree n is given by the Catalan number c_n?1. It arises naturally in the study of coalgebra structures defined on compatible associative algebras. We prove that any free compatible associative algebra admits a compatible infinitesimal bialgebra structure, whose subspace of primitive elements is a 𝒩-algebra. The data (As,As²,𝒩) is a good triple of operads, in J.-L. Loday’s sense. Our construction induces another triple of operads (As,As₂,As), where As₂ is the operad of matching dialgebras. Motivated by A. Goncharov’s Hopf algebra of paths P(S), we introduce the notion of bi-matching dialgebras and show that the Hopf algebra P(S) is a bi-matching dialgebras.     

Resolutions of subsets of finite sets of points in projective space

Abstract

Eisenbud et al. proved a number of results regarding Gröbner bases and initial ideals of those ideals J in the free associative algebra K ?X ₁,…, X _n ? which contain the commutator ideal. We prove similar results for ideals which contains the anti-commutator ideal (the defining ideal of the exterior algebra). We define one weak notion of generic initial ideals in K ?X ₁,…, X _n ?, and show that generic initial ideals of ideals containing the anti-commutator ideal, or the commutator ideal, are finitely generated.     

On the Dimensions of Commutative Subalgebras and Subgroups of Nilpotent Algebras and Lie Groups of Class 2

We obtain the functions that bound the dimensions of finite dimensional nilpotent associative or Lie algebras of class 2 over an algebraically closed field in terms of the dimensions of their commutative subalgebras. As a result, we also compute a similar function for complex nilpotent Lie groups of class 2.