Choosing a threshold based on the Scale-Free-Topology-CriterionBilly Chang
Concerning the weighted networks, the choice of the β parameter is based on the scale-free topology criterion [62]. This method represents an improvement over unweighted networks based on dichotomizing the correlation matrix; the continuous nature of the gene co-expression information is preserved,...
We remark that the attack criterion has no essential effect on our model. Noting that the attacker may not obtain the perfect information, we denote by \({\tilde{d}}_{i}\) the displayed degree of a node v i from the view of attacker and define it as the attack information. Although...
Within each cell type cluster, a gene was considered expressed when at least one of its transcripts was detected in 25% or more of cells; 7,867 protein-coding genes met this criterion. Contrasting one cell type with the others, ASD genes are enriched in maturing and mature neurons of ...
The selection criterion will therefore depend on the estimation of the angle θ between the resolved vorticity and local average vorticity, computed by applying a test filter associated with the cut-off length scale Δˆ>Δ. Instead of the Boolean selection function proposed (Leisuer and Métais...
The collapse threshold provides the essential design rule for realizing suspended silicon devices with high-aspect-ratio gaps that avoid unintended pull-in instabilities, such as nano-opto-electromechanical systems34, or, in the opposite limit, the criterion for deterministic self-assembly. Even if ...
. remark 1.10 the criterion that \({\beta _n}(\log n)^\gamma \rightarrow \infty \) for some \(\gamma \in (0,1)\) is just slightly stronger than requiring that the empirical second moment of the degrees in the graph tends to infinity. indeed, we give in ( 2.44 ) in claim ...
Considering that a single machine equipped with eight A800 GPUs could adequately meet the memory requirements for our Baichuan 2-7B and Baichuan 2-13B models, the primary design criterion for our training framework is the machine-level elasticity, which supports that resources for tasks can be ...
Finally it is worth mentioning that in some applications a semi-probabilistic approach based on Akaike's information criterion (Akaike, 1974; Burnham and Anderson, 2002) for minimizing the misfit function is used for solving inverse problems (see, e.g., Fukahata and Wright, 2008; Terakawa and...
Multi-scale structures, as found in nature (e.g., bone and bamboo), hold the promise of achieving superior performance while being intrinsically lightweight, robust, and multi-functional. Recent years have seen a rapid development in topology optimization approaches for designing multi-scale structur...