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In this test, we focus on the comparison of algorithm precision with increasing dimension of the instance.
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Among other aspects, appropriate visualisation of multi-dimensional data (temporal, regional, unit-wise) is increasingly challenging with increasing dimensions of model complexity.
Guidelines are provided for a cost-effective design of ground improvement, based on the rate of seismic settlement reduction with increasing dimensions of the improved ground.
The approximation performance of this approach in general deteriorates with increasing dimension N t of the optimization variable as well as with growing number of constraints in (P1) [58, 58].
In the last decade, the importance of radar has grown progressively with the increasing dimension of the system: from a single colocated antenna to large sensor networks [1, 2].
In addition, at least (operatorname{dim}({mathcal {H}}^{p}_{1}) ( operatorname{dim}({mathcal {H}}^{p}_{1})+1 ) / (4L_{t}+1)) neurons are required, a number that can become unrealistically high with an increasing dimension of the input space.
Even more fundamentally, the "curse of dimensionality" [ 26] makes the fraction of the whole parameter space occupied by viable parameters decrease exponentially with increasing dimension, i.e., increasing number of parameters.
Additionally, the complexity of SDs increases exponentially with increasing dimension.
These methods involve a hierarchical decomposition of a multivariate response function in terms of variables with increasing dimensions and score functions associated with probability distribution of a random input.
Besides, the energies of DB and DB excitonic splitting are decreased with the increasing dimensions of the growth shell.
The new formulations are derived by considering generalized inverses with nullspaces of increasing dimension.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com