2021 IEEE Congress on Evolutionary Computation (CEC) 2021
DOI: 10.1109/cec45853.2021.9504848
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Using Genetic Programming to Find Functional Mappings for UMAP Embeddings

Abstract: Manifold learning is a widely used technique for reducing the dimensionality of complex data to make it more understandable and more efficient to work with. However, current state-of-the-art manifold learning techniques -such as Uniform Manifold Approximation and Projection (UMAP) -have a critical limitation. They do not provide a functional mapping from the higher dimensional space to the lower-dimensional space, instead, they produce only the lower-dimensional embedding. This means they are "black-boxes" tha… Show more

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Cited by 6 publications
(4 citation statements)
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References 14 publications
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“…While visualisation quality was lower in some cases than standard t-SNE, the authors showed that an EMO approach could produce a range of visualisations at different levels of model (tree) complexity. Recent work has further improved the performance of GP in producing such functional mappings [256], [259].…”
Section: A Visualisation By Gpmentioning
confidence: 99%
“…While visualisation quality was lower in some cases than standard t-SNE, the authors showed that an EMO approach could produce a range of visualisations at different levels of model (tree) complexity. Recent work has further improved the performance of GP in producing such functional mappings [256], [259].…”
Section: A Visualisation By Gpmentioning
confidence: 99%
“…The GP-MaL fitness is somewhat ad-hoc: it uses a particular formulation of neighbour preservation. Later work has proposed other fitness functions, such as that used by the state-of-the-art non-mapping UMAP [17] method [22].…”
Section: Evolutionary Computation For Dimensionality Reductionmentioning
confidence: 99%
“…One approach is GP-tSNE [27], which adapts the classic t-SNE [54] algorithm to use evolved trees to provide an interpretable mapping from the original data points to the embedded points. Similarly, Schofield and Lensen [46] use tree-GP to produce an interpretable mapping for Uniform Manifold Approximation and Projection (UMAP). By producing an explicit mapping function rather than simply the embedded points, we can not only make the process more transparent but also reuse the mapping on new data.…”
Section: Explaining Datamentioning
confidence: 99%