Package 'densvis'

Title: Density-Preserving Data Visualization via Non-Linear Dimensionality Reduction
Description: Implements the density-preserving modification to t-SNE and UMAP described by Narayan et al. (2020) <doi:10.1101/2020.05.12.077776>. The non-linear dimensionality reduction techniques t-SNE and UMAP enable users to summarise complex high-dimensional sequencing data such as single cell RNAseq using lower dimensional representations. These lower dimensional representations enable the visualisation of discrete transcriptional states, as well as continuous trajectory (for example, in early development). However, these methods focus on the local neighbourhood structure of the data. In some cases, this results in misleading visualisations, where the density of cells in the low-dimensional embedding does not represent the transcriptional heterogeneity of data in the original high-dimensional space. den-SNE and densMAP aim to enable more accurate visual interpretation of high-dimensional datasets by producing lower-dimensional embeddings that accurately represent the heterogeneity of the original high-dimensional space, enabling the identification of homogeneous and heterogeneous cell states. This accuracy is accomplished by including in the optimisation process a term which considers the local density of points in the original high-dimensional space. This can help to create visualisations that are more representative of heterogeneity in the original high-dimensional space.
Authors: Alan O'Callaghan [aut, cre], Ashwinn Narayan [aut], Hyunghoon Cho [aut]
Maintainer: Alan O'Callaghan <[email protected]>
License: MIT + file LICENSE
Version: 1.15.0
Built: 2024-07-26 05:16:09 UTC
Source: https://github.com/bioc/densvis

Help Index


Density-preserving t-SNE

Description

Density-preserving t-SNE

Usage

densne(
  X,
  dims = 2,
  perplexity = 50,
  theta = 0.5,
  check_duplicates = TRUE,
  pca = FALSE,
  initial_dims = 50,
  partial_pca = FALSE,
  pca_center = TRUE,
  pca_scale = FALSE,
  verbose = getOption("verbose", FALSE),
  max_iter = 1000,
  Y_init = NULL,
  stop_lying_iter = if (is.null(Y_init)) 250L else 0L,
  mom_switch_iter = if (is.null(Y_init)) 250L else 0L,
  momentum = 0.5,
  final_momentum = 0.8,
  eta = 200,
  exaggeration_factor = 12,
  dens_frac = 0.3,
  dens_lambda = 0.1,
  num_threads = 1,
  normalize = TRUE
)

Arguments

X

Input data matrix, where rows are observations and columns are features.

dims

Integer output dimensionality.

perplexity

Perplexity parameter (should not be bigger than 3 * perplexity < nrow(X) - 1).

theta

Speed/accuracy trade-off (increase for less accuracy), set to 0.0 for exact TSNE

check_duplicates

logical; Checks whether duplicates are present. It is best to make sure there are no duplicates present and set this option to FALSE, especially for large datasets (default: TRUE)

pca

logical; Whether an initial PCA step should be performed (default: FALSE).

initial_dims

integer; the number of dimensions that should be retained in the initial PCA step (default: 50)

partial_pca

logical; Whether truncated PCA should be used to calculate principal components (requires the irlba package). This is faster for large input matrices (default: FALSE)

pca_center, pca_scale

Controls whether to centre and scale the data before applying PCA. Defaults: TRUE, FALSE.

verbose

Logical; Whether progress updates should be printed

max_iter

integer; Number of iterations

Y_init

matrix; Initial locations of the objects. If NULL, random initialization will be used

stop_lying_iter

integer; Iteration after which the perplexities are no longer exaggerated

mom_switch_iter

integer; Iteration after which the final momentum is used

momentum

numeric; Momentum used in the first part of the optimization

final_momentum

numeric; Momentum used in the final part of the optimization

eta

numeric; Learning rate

exaggeration_factor

numeric; Exaggeration factor used to multiply the affinities matrix P in the first part of the optimization

dens_frac

numeric; fraction of the iterations for which the full objective function (including the density-preserving term) is used. For the first 1 - dens_frac fraction of the iterations, only the original t-SNE objective function is used.

dens_lambda

numeric; the relative importanceof the density-preservation term compared to the original t-SNE objective function.

num_threads

Number of threads to be used for parallelisation.

normalize

logical; Should data be normalized internally prior to distance calculations with normalize_input?

Value

A numeric matrix corresponding to the t-SNE embedding

References

Density-Preserving Data Visualization Unveils Dynamic Patterns of Single-Cell Transcriptomic Variability Ashwin Narayan, Bonnie Berger, Hyunghoon Cho; bioRxiv (2020) doi:10.1101/2020.05.12.077776

Examples

x <- matrix(rnorm(1e3), nrow = 100)
d <- densne(x, perplexity = 5)
plot(d)

Density-preserving and other implementations of UMAP

Description

Density-preserving and other implementations of UMAP

Usage

umap(
  x,
  n_components = 2L,
  dens_frac = 0.3,
  dens_lambda = 0.1,
  dens_var_shift = 0.1,
  n_neighbors = 30L,
  metric = "euclidean",
  densmap = FALSE,
  n_epochs = 750L,
  learning_rate = 1,
  init = c("spectral", "random"),
  Y_init = NULL,
  min_dist = 0.1,
  spread = 1,
  low_memory = FALSE,
  set_op_mix_ratio = 1,
  local_connectivity = 1L,
  repulsion_strength = 1,
  negative_sample_rate = 5L,
  transform_queue_size = 4,
  random_state = NULL,
  angular_rp_forest = FALSE,
  target_n_neighbors = -1,
  target_weight = 0.5,
  disconnection_distance = NULL
)

densmap(...)

Arguments

x

A numeric matrix or matrix-like object.

n_components

The dimension of the space to embed into. This defaults to 2 to provide easy visualization, but can reasonably be set to any integer value in the range 2 to 100.

dens_frac

numeric; fraction of the iterations for which the full objective function (including the density-preserving term) is used. For the first 1 - dens_frac fraction of the iterations, only the original t-SNE objective function is used. Only takes effect when densmap=TRUE.

dens_lambda

numeric; the relative importance of the density-preservation term compared to the original t-SNE objective function. Only takes effect when densmap=TRUE.

dens_var_shift

Regularization term added to the variance of embedding local radius for stability (float, non-negative); default 0.1. Only takes effect when densmap=TRUE.

n_neighbors

The size of local neighborhood (in terms of number of neighboring sample points) used for manifold approximation. Larger values result in more global views of the manifold, while smaller values result in more local data being preserved. In general values should be in the range 2 to 100.

metric

The metric to use to compute distances in high dimensional space. If a string is passed it must match one of:

  • "euclidean"

  • "manhattan"

  • "chebyshev"

  • "minkowski"

  • "canberra"

  • "braycurtis"

  • "mahalanobis"

  • "wminkowski"

  • "seuclidean"

  • "cosine"

  • "correlation"

  • "haversine"

  • "hamming"

  • "jaccard"

  • "dice"

  • "russelrao"

  • "kulsinski"

  • "rogerstanimoto"

  • "sokalmichener"

  • "sokalsneath"

  • "yule"

densmap

For umap, control whether the density-preserving UMAP algorithm described by Narayan et al. is used.

n_epochs

The number of training epochs to be used in optimizing the low dimensional embedding. Larger values result in more accurate embeddings. If None is specified a value will be selected based on the size of the input dataset (200 for large datasets, 500 for small). a valid predefined metric.

learning_rate

The initial learning rate for the embedding optimization.

init

How to initialize the low dimensional embedding. Valid options:

  • "spectral": use a spectral embedding of the fuzzy 1-skeleton

  • "random": assign initial embedding positions at random.

Y_init

Numeric matrix specifying the initial locations of the objects in the embedding. If NULL, random or spectral initialization will be used, controlled by the init argument.

min_dist

The effective minimum distance between embedded points. Smaller values will result in a more clustered/clumped embedding where nearby points on the manifold are drawn closer together, while larger values will result on a more even dispersal of points. The value should be set relative to the spread value, which determines the scale at which embedded points will be spread out.

spread

The effective scale of embedded points. In combination with min_dist this determines how clustered/clumped the embedded points are.

low_memory

For some datasets the nearest neighbor computation can consume a lot of memory. If you find that UMAP is failing due to memory constraints consider setting this option to True. This approach is more computationally expensive, but avoids excessive memory use.

set_op_mix_ratio

Interpolate between (fuzzy) union and intersection as the set operation used to combine local fuzzy simplicial sets to obtain a global fuzzy simplicial sets. Both fuzzy set operations use the product t-norm. The value of this parameter should be between 0.0 and 1.0; a value of 1.0 will use a pure fuzzy union, while 0.0 will use a pure fuzzy intersection.

local_connectivity

The local connectivity required – i.e. the number of nearest neighbors that should be assumed to be connected at a local level. The higher this value the more connected the manifold becomes locally. In practice this should be not more than the local intrinsic dimension of the manifold.

repulsion_strength

Weighting applied to negative samples in low dimensional embedding optimization. Values higher than one will result in greater weight being given to negative samples.

negative_sample_rate

The number of negative samples to select per positive sample in the optimization process. Increasing this value will result in greater repulsive force being applied, greater optimization cost, but slightly more accuracy.

transform_queue_size

For transform operations (embedding new points using a trained model_ this will control how aggressively to search for nearest neighbors. Larger values will result in slower performance but more accurate nearest neighbor evaluation.

random_state

The seed used by the random number generator.

angular_rp_forest

Whether to use an angular random projection forest to initialise the approximate nearest neighbor search. This can be faster, but is mostly on useful for metric that use an angular style distance such as cosine, correlation etc. In the case of those metrics angular forests will be chosen automatically.

target_n_neighbors

The number of nearest neighbors to use to construct the target simplcial set. If set to -1 use the n_neighbors value.

target_weight

Weighting factor between data topology and target topology. A value of 0.0 weights entirely on data, a value of 1.0 weights entirely on target. The default of 0.5 balances the weighting equally between data and target.

disconnection_distance

Numeric scalar. If specified, UMAP will disconnect any vertices of distance greater than or equal to disconnection_distance when approximating the manifold via our k-nn graph. This is particularly useful in the case that you have a bounded metric. The UMAP assumption that we have a connected manifold can be problematic when you have points that are maximally different from all the rest of your data. The connected manifold assumption will make such points have perfect similarity to a random set of other points. Too many such points will artificially connect your space.

...

Passed from densmap to umap.

Value

A numeric matrix

References

Density-Preserving Data Visualization Unveils Dynamic Patterns of Single-Cell Transcriptomic Variability Ashwin Narayan, Bonnie Berger, Hyunghoon Cho; bioRxiv (2020) doi:10.1101/2020.05.12.077776

Examples

set.seed(42)
x <- matrix(rnorm(200), ncol=2)
densmap(x)