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  2. Root mean square deviation of atomic positions - Wikipedia

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

    RMSD—another tutorial on how to calculate RMSD with example code; Secondary Structure Matching (SSM) — a tool for protein structure comparison. Uses RMSD. GDT, LCS and LGA — different structure comparison measures. Description and services. SuperPose — a protein superposition server. Uses RMSD. superpose — structural alignment based ...

  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. Structural alignment - Wikipedia

    en.wikipedia.org/wiki/Structural_alignment

    The RMSD of two aligned structures indicates their divergence from one another. Structural alignment can be complicated by the existence of multiple protein domains within one or more of the input structures, because changes in relative orientation of the domains between two structures to be aligned can artificially inflate the RMSD.

  6. 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 ...

  7. Minimal residual method - Wikipedia

    en.wikipedia.org/wiki/Minimal_residual_method

    The MINRES method iteratively calculates an approximate solution of a linear system of equations of the form =, where is a symmetric matrix and a vector. For this, the norm of the residual ():= in a -dimensional Krylov subspace = + ⁡ {, …,} is minimized.

  8. Least-squares support vector machine - Wikipedia

    en.wikipedia.org/wiki/Least-squares_support...

    Least-squares support-vector machines (LS-SVM) for statistics and in statistical modeling, are least-squares versions of support-vector machines (SVM), which are a set of related supervised learning methods that analyze data and recognize patterns, and which are used for classification and regression analysis.

  9. Plotting algorithms for the Mandelbrot set - Wikipedia

    en.wikipedia.org/wiki/Plotting_algorithms_for...

    In pseudocode, this algorithm would look as follows. The algorithm does not use complex numbers and manually simulates complex-number operations using two real numbers, for those who do not have a complex data type. The program may be simplified if the programming language includes complex-data-type operations.