Memory-efficient dynamic programming backtrace and pairwise local sequence alignment

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Abstract
Motivation: A backtrace through a dynamic programming algorithm's intermediate results in search of an optimal path, or to sample paths according to an implied probability distribution, or as the second stage of a forward–backward algorithm, is a task of fundamental importance in computational biology. When there is insufficient space to store all intermediate results in high-speed memory (e.g. cache) existing approaches store selected stages of the computation, and recompute missing values from these checkpoints on an as-needed basis. Results: Here we present an optimal checkpointing strategy, and demonstrate its utility with pairwise local sequence alignment of sequences of length 10 000. Availability: Sample C++-code for optimal backtrace is available in the Supplementary Materials . Contact:leen@cs.rpi.edu Supplementary information: Supplementary data is available at Bioinformatics online.