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  2. Root mean square deviation of atomic positions - Wikipedia

    en.wikipedia.org/wiki/Root_mean_square_deviation...

    Quaternion – used to optimise RMSD calculations; Kabsch algorithm – an algorithm used to minimize the RMSD by first finding the best rotation [3] GDT – a different structure comparison measure; TM-score – a different structure comparison measure; Longest continuous segment (LCS) — A different structure comparison measure

  3. Kabsch algorithm - Wikipedia

    en.wikipedia.org/wiki/Kabsch_algorithm

    The Kabsch algorithm, also known as the Kabsch-Umeyama algorithm, [1] named after Wolfgang Kabsch and Shinji Umeyama, is a method for calculating the optimal rotation matrix that minimizes the RMSD (root mean squared deviation) between two paired sets of points.

  4. Root mean square deviation - Wikipedia

    en.wikipedia.org/wiki/Root_mean_square_deviation

    In experimental psychology, the RMSD is used to assess how well mathematical or computational models of behavior explain the empirically observed behavior. In GIS, the RMSD is one measure used to assess the accuracy of spatial analysis and remote sensing. In hydrogeology, RMSD and NRMSD are used to evaluate the calibration of a groundwater ...

  5. Random coil index - Wikipedia

    en.wikipedia.org/wiki/Random_Coil_Index

    Examples of correlation between RCI and other methods of measuring motional amplitudes in proteins. NMR RMSD - root mean square fluctuations of atomic coordinates in NMR ensembles, MD RMSD - root mean square fluctuations of atomic coordinates in MD ensembles, S2 - model-free order parameter, RCI - random coil index, B-factor - temperature factor of X-ray structures; RCI->NMR RMSD - root mean ...

  6. Test functions for optimization - Wikipedia

    en.wikipedia.org/wiki/Test_functions_for...

    The test functions used to evaluate the algorithms for MOP were taken from Deb, [4] Binh et al. [5] and Binh. [6] The software developed by Deb can be downloaded, [7] which implements the NSGA-II procedure with GAs, or the program posted on Internet, [8] which implements the NSGA-II procedure with ES.

  7. Template modeling score - Wikipedia

    en.wikipedia.org/wiki/Template_modeling_score

    The TM-score is intended as a more accurate measure of the global similarity of full-length protein structures than the often used RMSD measure. The TM-score indicates the similarity between two structures by a score between ( 0 , 1 ] {\displaystyle (0,1]} , where 1 indicates a perfect match between two structures (thus the higher the better ...

  8. List of optimization software - Wikipedia

    en.wikipedia.org/wiki/List_of_optimization_software

    Given a transformation between input and output values, described by a mathematical function, optimization deals with generating and selecting the best solution from some set of available alternatives, by systematically choosing input values from within an allowed set, computing the output of the function and recording the best output values found during the process.

  9. Nelder–Mead method - Wikipedia

    en.wikipedia.org/wiki/Nelder–Mead_method

    John Burkardt: Nelder–Mead code in Matlab - note that a variation of the Nelder–Mead method is also implemented by the Matlab function fminsearch. Nelder-Mead optimization in Python in the SciPy library. nelder-mead - A Python implementation of the Nelder–Mead method; NelderMead() - A Go/Golang implementation