Abstract

BackgroundA profile-comparison method with position-specific scoring matrix (PSSM) is among the most accurate alignment methods. Currently, cosine similarity and correlation coefficients are used as scoring functions of dynamic programming to calculate similarity between PSSMs. However, it is unclear whether these functions are optimal for profile alignment methods. By definition, these functions cannot capture nonlinear relationships between profiles. Therefore, we attempted to discover a novel scoring function, which was more suitable for the profile-comparison method than existing functions, using neural networks.ResultsAlthough neural networks required derivative-of-cost functions, the problem being addressed in this study lacked them. Therefore, we implemented a novel derivative-free neural network by combining a conventional neural network with an evolutionary strategy optimization method used as a solver. Using this novel neural network system, we optimized the scoring function to align remote sequence pairs. Our results showed that the pairwise-profile aligner using the novel scoring function significantly improved both alignment sensitivity and precision relative to aligners using existing functions.ConclusionsWe developed and implemented a novel derivative-free neural network and aligner (Nepal) for optimizing sequence alignments. Nepal improved alignment quality by adapting to remote sequence alignments and increasing the expressiveness of similarity scores. Additionally, this novel scoring function can be realized using a simple matrix operation and easily incorporated into other aligners. Moreover our scoring function could potentially improve the performance of homology detection and/or multiple-sequence alignment of remote homologous sequences. The goal of the study was to provide a novel scoring function for profile alignment method and develop a novel learning system capable of addressing derivative-free problems. Our system is capable of optimizing the performance of other sophisticated methods and solving problems without derivative-of-cost functions, which do not always exist in practical problems. Our results demonstrated the usefulness of this optimization method for derivative-free problems.

Highlights

  • A profile-comparison method with position-specific scoring matrix (PSSM) is among the most accurate alignment methods

  • The results indicated that the improved results derived from network Enhanced Profile Alignment Library (Nepal) were statistically significant (α < 0.01), suggesting that the novel derivative-free neural network succeeded in optimizing the scoring function

  • We developed a novel derivative-free neural network with covariance matrix adaptation-evolution strategy (CMA-ES) and successfully applied this learning system to optimize a scoring function for pairwise-profile alignment

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Summary

Introduction

A profile-comparison method with position-specific scoring matrix (PSSM) is among the most accurate alignment methods. It is unclear whether these functions are optimal for profile alignment methods By definition, these functions cannot capture nonlinear relationships between profiles. The profile-comparison alignment method with a position-specific scoring matrix (PSSM) [1] is a highly accurate alignment method. Various methods have been devised from different perspectives, studies to develop the scoring function for PSSV comparison using sophisticated technologies are lacking. Cosine similarity or a correlation coefficient is normally used for comparison of PSSVs, in principle, they are unable to capture nonlinear relationships between vectors. Because scoring functions are directly related to the quality of biological-sequence alignment, development of a novel function capable of capturing nonlinear relationships reflecting similarity between two sites in sequences is required

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