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Unlike the low-rank representation seeking the lowest rank of the dataset, sparse representation finds the sparest representation of a dataset.
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On noisy simulated datasets, sparse representation achieved higher accuracy of parcellation and higher ability of restraining noise effects (Fig. 4).
Our study also shows that supertree analyses are very much impacted by the strategies used to define the source tree datasets, with sparse "all-scaffold" datasets resulting in generally much lower accuracy supertrees than when the source trees are primarily based upon dense sampling within clades.
For association data (such as the recipe-ingredient dataset), the sparse biadjacency matrix (b_{ij}=1) indicates an association between object i from class x with object j from class y.
First datasets (dense sampling: dataset A; sparse sampling: dataset B) were simulated and re-estimated.
Using a dataset this sparse will cause inaccuracies for the machine learning algorithms.
Identifying patterns of association or dependency among high-dimensional biological datasets with sparse precision matrices remains a challenge.
In datasets containing sparse data, there may not be enough information to accurately estimate inter- and intra-individual variability.
NCI-60 datasets are sparse in mutations (24 valid genes), copy number variations (219 valid genes) and DNA methylations (320 valid genes).
Bayesian methods present an alternative way to deal with datasets including sparse data, and Bayesian analyses are now easily implemented using appropriate software.
We start from the recently introduced (Costa and Grave, 2010) fast kernel called neighborhood subgraph pairwise distance kernel (NSPDK), as this kernel is suitable for large datasets of sparse graphs with discrete vertex and edge labels.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com