Learning cognitive embedding using signed knowledge interaction graph

2021 ◽  
pp. 107327
Author(s):  
Yujia Huo ◽  
Derek F. Wong ◽  
Lionel M. Ni ◽  
Lidia S. Chao ◽  
Jing Zhang ◽  
...  
Keyword(s):  
Interaction Graph

Highly Liquid Temporal Interaction Graph Embeddings

2021 ◽  
Author(s):  
Huidi Chen ◽  
Yun Xiong ◽  
Yangyong Zhu ◽  
Philip S. Yu
Keyword(s):  
Graph Embeddings ◽  
Interaction Graph ◽  
Temporal Interaction

Necessary Conditions for Multistationarity and Stable Periodicity

1998 ◽  
Vol 06 (01) ◽  
pp. 3-9 ◽  
Author(s):  
El Houssine Snoussi
Keyword(s):  
Differential System ◽  
Jacobian Matrix ◽  
Necessary Conditions ◽  
Formal Proof ◽  
Necessary Condition ◽  
Constant Sign ◽  
Interaction Graph ◽  
Partial Derivatives

We show in this paper that, for a differential system defined by a quasi-monotonous function f (with constant sign partial derivatives) the existence of a positive loop in the interaction graph associated to the Jacobian matrix of f is a necessary condition for multistationarity, and the existence of a negative loop comprising at least two elements is a necessary condition for stable periodicity. This gives a formal proof of R.Thomas's conjectures.

Models for Cooperative Activities over the Web

2011 ◽  
pp. 245-263
Author(s):  
Bogdan D. Czejdo ◽  
Maciej Zakrzewicz ◽  
Govindarao Sathyamoorthi
Keyword(s):  
Software Architecture ◽  
Software Design ◽  
Software Systems ◽  
The Internet ◽  
Interaction Graph ◽  
Web Based ◽  
Team Members ◽  
State Diagrams ◽  
Common Task ◽  
The Web

The Chapter discusses the need and the problems associated with WEB based cooperative activities in which several team members work in parallel on a common task. Models for software systems supporting such cooperative activities are discussed. Our models describe structure of the cooperation object, cooperation modes and the network message synchronization, that are of prime importance when the system members work at different places and communicate over the Internet. We introduce and describe a component requirements graph and show how to translate it into an interaction graph. The state diagrams and the design graphs are the basis for the WEB software design. The discussion of software architecture for implementing cooperative activities over the Web is also provided.

Consensus of fractional-order systems with non-uniform input and communication delays

2011 ◽  
Vol 226 (2) ◽  
pp. 271-283 ◽  
Author(s):  
J Shen ◽  
J Cao ◽  
J Lu
Keyword(s):  
Fractional Order ◽  
Great Influence ◽  
Sufficient Conditions ◽  
Communication Delays ◽  
Fractional Order Systems ◽  
Interaction Graph ◽  
Counter Example ◽  
Nyquist Stability ◽  
Input Delays ◽  
Frequency Domain Approach

This paper studies the consensus problems of fractional-order systems with non-uniform input and communication delays over directed static networks. Based on a frequency-domain approach and generalized Nyquist stability criterion, sufficient conditions are obtained to ensure the consensus of the fractional-order systems with simultaneously non-uniform input and communication delays. When the fractional-order [Formula: see text], it is found that the consensus condition is dependent on input delays but independent on communication delays. Surprisingly, when there is no input delay, consensus can be realized whatever the communication delays are. However, a counter-example shows that communication delays will have a great influence on the consensus condition when the fractional-order [Formula: see text]. Moreover, the bounds of input and communication delays are explicitly given to guarantee the consensus of the delayed fractional-order systems with fractional-order [Formula: see text] under an undirected interaction graph.

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