After we have obtained the results for various values of q, we select q*. Note here that the input value q is the maximum number of clusters allowed and that the actual number of clusters that appears for a given q can be less than q. Cross-validation errors We consider four types of...
A variety of methods have been devised to choose the number of clusters automatically, but they often rely on strong modeling assumptions. This paper proposes a data-driven approach to estimate the number of clusters based on a novel form of cross-validation. The proposed method differs from ...
The stochastic block model (SBM) and its variants have been a popular tool for analyzing large network data with community structures. In this article, we develop an efficient network cross-validation (NCV) approach to determine the number of communities, as well as to choose between the regular...
I consider three estimates of the excess error: cross-validation, the jackknife, and the bootstrap. Using simulations and real data, the three estimates for a specific prediction rule are compared. When the prediction rule is allowed to be complicated, overfitting becomes a real danger, and ...
For cross-validation, a Markov chain Monte Carlo (MCMC) technique is also used to obtain the best model using the emcee sampler65. The goal of MCMC is to approximate the posterior distribution of model parameters by random sampling in a probabilistic space. A multi-dimension linear interpolation...
In total, there were 200 metagenomes consisting of four individual groups (50 samples in each group): old control (oControl), old-onset colorectal cancer (oCRC), young control (yControl), and young-onset colorectal cancer (yCRC). The age cutoff for old and young-onset CRC was 50 years...
We found that (1) in general, PRESS is good for filtering out inaccurate surrogates; and (2) with sufficient number of points, PRESS may identify the best surrogate of the set. Hence the use of cross-validation errors for choosing a surrogate and for calculating the weights of weighted ...
validation study (Bureau et al. submitted). The CAT-Q has shown excellent internal consistency (Cronbach’sα = 0.94) [93]. In the current sample, the internal consistency for the total scale was very good (Cronbach’sα = 0.86), good for Compensation subscale (Cronbach’sα ...
(4). Although there is no general theoretically guaranteed optimal choice, several common methods can be utilized, e.g., cross-validation techniques that had been well-developed in the literature of computational inverse problems. RC network design is crucial to determine the dynamic characteristics....
Convictions pertained overwhelmingly to illegal hunting for commercial purposes and involved all major habitats across China. A small number of convictions represented most of the animals taken, indicating the existence of large commercial poaching operations. Prefectures closer to urban markets show higher...