#statistics #machine-learning #multidimensional #vector-algebra #geometric-median


Statistical Measures, Vector Algebra, Geometric Median, Data Analysis and Machine Learning

37 releases (4 breaking)

new 0.5.1 Sep 17, 2020
0.5.0 Sep 17, 2020
0.4.15 Sep 16, 2020
0.3.6 Sep 6, 2020
0.1.5 Aug 31, 2020

#26 in Machine learning

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Rstats - Rust Stats

Crates.io GitHub last commit (branch)

Rstats is aimed at characterization of multidimensional sets of points, with applications to Machine Learning and Data Analysis. It begins with basic statistical measures and vector algebra, which provide self-contained tools for the more interesting algorithms but can also be used in their own right.

Our treatment of multidimensional sets of points is constructed from the first principles. Thus some original concepts, unlikely to be found elsewhere, are introduced and implemented here.

Going beyond one dimension, other people mostly cheat by using centroids or 'quasi medians' (1-d medians along each axis). They may be quicker to compute but they are a poor start to characterising multidimensional clouds of points reliably. Specifically, all such 1-d measures depend on the choice of axis. Such dependence has to be later removed by Principle Components Analysis or similar methods. In contradistinction to this, our methods based on true Geometric Median, (computed here by nmedian), are axis (or rotation) independent.

Rstats is a lean minimalistic library that only depends on anyhow (for its error handling).

Trait RStats

One dimensional statistical measures implemented for &[i64] and &[f64]. All these methods operate on one vector of data and take no arguments. For example, s.amean() computes the arithmetic mean of slice s of either type. Trait RStats is carefully checked and will report all kinds of errors, such as empty input.

Included are:

  • means (arithmetic, geometric and harmonic),
  • standard deviations,
  • linearly weighted means (useful for time dependent data analysis),
  • median and quartiles.

Trait Vectors

  • Vector algebra implemented on one or two &[f64] slices of any length (vector dimensionality).
  • Autocorrelation, Pearson's, Spearman's and Kendall's correlations.
  • Finding minimum and maximum, linear transformation.

Trait Vectors is sometimes unchecked for speed, so some caution is advisable.

Trait MutVectors

Some of the methods are for memory efficiency reasons reimplemented in this trait so that they mutate self in place instead of creating a new Vec. They are useful in vector iterative methods. Beware that they do not return anything, so they can not be chained.

Trait VecVec

  • Relationships of one vector to a set of vectors: Sums of distances, Centroid, Medoid, Geometric Median, Eccentricity, Zero median data.
  • Relationships between sets of multidimensional vectors: Trend.

Trait VecVec is entirely unchecked, you should check your data upfront.


  • Version 0.5.1 Added scalar addition sadd and linear transformation lintrans to Vectors.

  • Version 0.5.0 Introduces VecVec trait for all multi-point methods, now implemented for type &[Vec<f64>]. This is a breaking change but it did allow streamlining of the code and a clean separation of the traits. Main benefit to the user is in no longer having to explicitly pass around the dimensionality d.

  • Version 0.4.15 Added setsub similar to mutzeromd but it subtracts any given vector from a whole set. Moved all functions into new module functions.rs. The other modules are now exclusively trait implementations.

  • Version 0.4.14 Added mutzeromd - or mutated zero median data, which transforms mutable self to zero-median form.

  • Version 0.4.13 Added trend between two sets of points. More comments, tests and examples.