Sentence examples for with a higher dimension from inspiring English sources

Dimension 10 was selected because the results did not improve significantly with a higher dimension and the computation is faster when the dimension is set lower.

Akaike's information theoretic criterion for model discrimination (AIC) is often stated to "overfit", i.e., it selects models with a higher dimension than the dimension of the model that generated the data.

Provided a set of training samples, a SVM transforms the data samples using a nonlinear mapping to a higher dimension with the aim to determine a hyperplane that partitions data by class or labels.

Furthermore, the MD PSO naturally favors a low-dimension solution when it exhibits a competitive performance with a high dimension counterpart and such a native tendency eventually yields the evolution process to the compact network configurations in the architecture space rather than the complex ones, as long as the optimality prevails.

Gene expression data is typically characterized by a high dimension combined with a relatively low number of samples.

Its main idea is to map data points to a high dimension space with a kernel function, and then these data points can be separated by a hyper plane.

M. modiolus also formed aggregations with a higher fractal dimension in the high and medium density treatments compared to lower density, suggesting that at higher density this increased patch complexity could further facilitate increased recruitment with the enhanced habitat available for settlement.

Thus, the unpredictable workload pattern is more complex than the growing and the periodic patterns, which suggests using a regression model with a higher VC-dimension to forecast the unpredictable pattern.

This allows us to obtain an explicit feature encoding for a given graph G as a sparse vector in ℝ m (with a very high dimension m).

Im et al. (2006) studied the links between cortical thickness, level of education and fractal dimension of the cortical surface for young healthy subjects, and found that high education level was associated with a high fractal dimension of the cortical surface, which itself was associated with small cortical thickness.

This work shows how a carefully designed instrumental distribution can improve the performance of a Markov chain Monte Carlo (MCMC) filter for systems with a high state dimension.