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Time Series Clustering Along with Optimizations for the Dynamic Time Warping Distance
Time series clustering along with optimized techniques related to the Dynamic Time Warping distance and its corresponding lower bounds. Implementations of partitional, hierarchical, fuzzy, k-Shape and TADPole clustering are available. Functionality can be easily extended with custom distance measures and centroid definitions. Implementations of DTW barycenter averaging, a distance based on global alignment kernels, and the soft-DTW distance and centroid routines are also provided. All included distance functions have custom loops optimized for the calculation of cross-distance matrices, including parallelization support. Several cluster validity indices are included.
Differential Evolution Optimization in Pure R
Differential Evolution (DE) stochastic heuristic algorithms for
global optimization of problems with and without general constraints.
The aim is to curate a collection of its variants that
(1) do not sacrifice simplicity of design,
(2) are essentially tuning-free, and
(3) can be efficiently implemented directly in the R language.
Currently, it provides implementations of the algorithms 'jDE' by
Brest et al. (2006)
Multi-Objective Optimization in R
The 'rmoo' package is a framework for multi- and many-objective
optimization, which allows researchers and users versatility
in parameter configuration, as well as tools for analysis, replication
and visualization of results. The 'rmoo' package was built as a fork of
the 'GA' package by Luca Scrucca(2017)
General Purpose Optimization in R using C++
Perform general purpose optimization in R using C++. A unified wrapper interface is provided to call C functions of the five optimization algorithms ('Nelder-Mead', 'BFGS', 'CG', 'L-BFGS-B' and 'SANN') underlying optim().
Approximate String Matching, Fuzzy Text Search, and String Distance Functions
Implements an approximate string matching version of R's native
'match' function. Also offers fuzzy text search based on various string
distance measures. Can calculate various string distances based on edits
(Damerau-Levenshtein, Hamming, Levenshtein, optimal sting alignment), qgrams (q-
gram, cosine, jaccard distance) or heuristic metrics (Jaro, Jaro-Winkler). An
implementation of soundex is provided as well. Distances can be computed between
character vectors while taking proper care of encoding or between integer
vectors representing generic sequences. This package is built for speed and
runs in parallel by using 'openMP'. An API for C or C++ is exposed as well.
Reference: MPJ van der Loo (2014)
Header-Only C++ Mathematical Optimization Library for 'Armadillo'
'Ensmallen' is a templated C++ mathematical optimization library (by the 'MLPACK' team) that provides a simple set of abstractions for writing an objective function to optimize. Provided within are various standard and cutting-edge optimizers that include full-batch gradient descent techniques, small-batch techniques, gradient-free optimizers, and constrained optimization. The 'RcppEnsmallen' package includes the header files from the 'Ensmallen' library and pairs the appropriate header files from 'armadillo' through the 'RcppArmadillo' package. Therefore, users do not need to install 'Ensmallen' nor 'Armadillo' to use 'RcppEnsmallen'. Note that 'Ensmallen' is licensed under 3-Clause BSD, 'Armadillo' starting from 7.800.0 is licensed under Apache License 2, 'RcppArmadillo' (the 'Rcpp' bindings/bridge to 'Armadillo') is licensed under the GNU GPL version 2 or later. Thus, 'RcppEnsmallen' is also licensed under similar terms. Note that 'Ensmallen' requires a compiler that supports 'C++14' and 'Armadillo' 10.8.2 or later.
Genetic Linkage Maps in Autopolyploids
Construction of genetic maps in autopolyploid full-sib populations.
Uses pairwise recombination fraction estimation as the first
source of information to sequentially position allelic variants
in specific homologous chromosomes. For situations where pairwise
analysis has limited power, the algorithm relies on the multilocus
likelihood obtained through a hidden Markov model (HMM).
For more detail, please see Mollinari and Garcia (2019)
Linear Programming / Optimization
Can be used to solve Linear Programming / Linear Optimization problems by using the simplex algorithm.
Discrete and Global Optimization Routines
The R package 'adagio' will provide methods and algorithms for (discrete) optimization, e.g. knapsack and subset sum procedures, derivative-free Nelder-Mead and Hooke-Jeeves minimization, and some (evolutionary) global optimization functions.
Adequacy of Probabilistic Models and General Purpose Optimization
The main application concerns to a new robust optimization package with two major contributions. The first contribution refers to the assessment of the adequacy of probabilistic models through a combination of several statistics, which measure the relative quality of statistical models for a given data set. The second one provides a general purpose optimization method based on meta-heuristics functions for maximizing or minimizing an arbitrary objective function.