Suppose we have a data matrix, which is the superposition of a low-rank component and a sparse component. Candes, E. J., Li, X., Ma, Y., & Wright, J. (2011). Robust principal component analysis?. Journal of the ACM (JACM), 58(3), 11. prove that we can recover each component individually under some suitable assumptions. It is possible to recover both the low-rank and the sparse components exactly by solving a very convenient convex program called Principal Component Pursuit; among all feasible decompositions, simply minimize a weighted combination of the nuclear norm and of the L1 norm. This package implements this decomposition algorithm resulting with Robust PCA approach.

Provides tools to read, write, visualize Protein Data Bank (PDB) files and
    perform some structural manipulations.

Streamlines the interaction with the RCSB Protein Data Bank (PDB) <https://www.rcsb.org/>. This interface offers an intuitive and 
            powerful tool for searching and retrieving a diverse range of data types from the PDB. It includes advanced functionalities like 
            BLAST and sequence motif queries. Built upon the existing XML-based API of the PDB, it simplifies the creation of custom requests, 
            thereby enhancing usability and flexibility for researchers.

Monthly Pacific Decadal Oscillation (PDO) index values from
    January 1900 to September 2018.  Superseded by 'rsoi' package which
    includes the historical and most recent monthly PDO index values
    together with related climate indices.

Performs multinomial goodness-of-fit test on multinomially distributed data using the Randomized phi-divergence test statistics. Details of this kind of statistics can be found at Nikita Puchkin, Vladimir Ulyanov (2023) <doi:10.1214/22-AIHP1299>.

The quantitative measurement and detection of molecules in HPLC should be carried out by an accurate description of chromatographic peaks. In this package non-linear fitting using a modified Gaussian model with a parabolic variance (PVMG) has been implemented to obtain the retention time and height at the peak maximum. This package also includes the traditional Van Deemter approach and two alternatives approaches to characterize chromatographic column.