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statistical testing, linear algebra, machine learning, fitting and signal processing in F#

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### Description >The Kolmogorov-Smirnov (KS) two-sided test statistic Dn is widely used to measure the goodness-of-fit between the empirical distribution of a set of n observations and a given continuous...

Difficulty: Advanced
FsLab Hackathon 2023
Status: Available

### Description A proper discription for the usage of Savitzky Golay filter is missing in the official documentation. The example looks good, but usage, parameter description, and parameter usage should...

Difficulty: Advanced
FsLab Hackathon 2023
Status: Available

### Description >tSNE is a dimensionality reduction method. It allows you to visualise a multi-dimensional dataset in 2 or 3 dimensional scatter plot. - All necessary information with pseudocode and...

Difficulty: Advanced
FsLab Hackathon 2023
Status: Available

### Description >Decision Trees (DTs) are a non-parametric supervised learning method used for [classification](https://scikit-learn.org/stable/modules/tree.html#tree-classification) and [regression](https://scikit-learn.org/stable/modules/tree.html#tree-regression) [3]. The random forest algorithm is a supervised classification algorithm. Pseudocode is given in...

Difficulty: Advanced
FsLab Hackathon 2023
Status: Available

Integrals can easily be calculated for step functions, linear splines, polynomials and splines. These procedures are missing for most of the interpolation and regression modules. **Important:** unit tests should cover...

The `regularizeValues` function is located in `Interpolation.Approximation`. While it is currently only used here, it is of bread interest to have this function available on a more global layer. It...

**Is your feature request related to a problem? Please describe.** [Inverse CDFs](https://en.wikipedia.org/wiki/Quantile_function) are useful for calculating credible intervals for a given distribution, among other things. **Describe the solution you'd like**...

up-for-grabs

There is `FSharp.Stats.Optimization.Brent` and `FSharp.Stats.Rootfinding.Brent`, both without proper documentation. - [ ] clarify if methods are compatible - [ ] decide for more performant version and put it in Optimization...

**Problem** When Nelder-Mead method is applied to a simple quadratic polynomial, the minimization is unable to identify the minimum. It is quite close, but the modification of `StopCriterion` or the...

## Merge operations for Maps Data can be sorted into bins of predefined width using the `Frequency` or `EmpiricalDistribution` module. If two datasets are binned and should be merged afterwards,...