symmetry rule 中文意思是什麼
symmetry rule
解釋
對稱法則-
Hi the aspect of symmetry analyzing to the hopfield model neural network with hebbian learning, we study on the dynamical behavior of the state space under the action of isometric transformation group g = z2 ? n, and prove the invariant property of the energy orientation ? / / " ) of the state space under the action of g. we find that the symmetry relationship of the network is sx - sw = sh when the active function of the neuron is odd, where sx is the symmetry of the patterns set x under hebbian learning rule, sh is the symmetry of the network and sw is the symmetry of the weight matrix w of the network
） s _ n為手段，研究了網路狀態空間在群g作用下各點的運動情況，證明了群g作用下的不變性。證明了當神經元的激活函數f為奇函數時， hebb法則下存儲樣本集x的對稱性s _ x 、網路對稱性s _ h以及連接矩陣對稱性s _ w三者之間滿足s _ x = s _ w = s _ h的關系；同時，我們還證明了：網路穩定態集vf同一s _ h軌道中的兩個穩定態的動力學行為（能量和吸引域大小）相同；兩個等距網路h和h 1 = g ? h ， （ ? ） g （ -
The rule of combination of symmetry operations is successive performance of them.
對稱操作的組合規則，是逐次地去運用它們。 -
In this paper, the artificial neural networks are considered as a structure set of the neurons. based on this point of view, we make a comprehensive and deep researching on the hopfield model neural network of associative memory with hebbian learning in three aspects, i. e., analyzing, describing and computing of the symmetry of the system, thus discovering the storing mechanism of the hebbian learning rule. which give a deeper understanding to the associative memory mechanism of artificial neural network
本文將人工神經網路視為神經元的結構集，並從這個基本觀點出發，從三個方面，即對稱性的分析、表示以及計算，對hebb型的離散hopfield模型神經網路進行全面的、深入的研究，揭示了hebb法則這種特殊的存儲規則的機理，並以此來達到加深對整個網路的聯想記憶機理認識的目的。 -
Rank - size rule ; zipf s law ; city - size distributions ; bi - fractals ; multifracta ls ; symmetry ; the us cities
位序-規模法則zipf定律空間結構雙分形多分形對稱性美國城市
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