End-to-end learning of multiple sequence alignments with differentiable Smith–Waterman

Author:

Petti Samantha1,Bhattacharya Nicholas2,Rao Roshan3,Dauparas Justas4,Thomas Neil3,Zhou Juannan5,Rush Alexander M6,Koo Peter7ORCID,Ovchinnikov Sergey8ORCID

Affiliation:

1. NSF-Simons Center for the Mathematical and Statistical Analysis of Biology, Harvard University , Cambridge, MA 02138, USA

2. Department of Mathematics, University of California Berkeley , Berkeley, CA 94720, USA

3. Electrical Engineering and Computer Sciences, University of California Berkeley , Berkeley, CA 94720, USA

4. Institute for Protein Design, University of Washington , Seattle, WA 98195, USA

5. Department of Biology, University of Florida , Gainesville, FL 32611, USA

6. Department of Computer Science, Cornell Tech , New York, NY 10044, USA

7. Simons Center for Quantitative Biology, Cold Spring Harbor Laboratory , Cold Spring Harbor, NY 11724, USA

8. John Harvard Distinguished Science Fellowship, Harvard University , Cambridge, MA 02138, USA

Abstract

Abstract Motivation Multiple sequence alignments (MSAs) of homologous sequences contain information on structural and functional constraints and their evolutionary histories. Despite their importance for many downstream tasks, such as structure prediction, MSA generation is often treated as a separate pre-processing step, without any guidance from the application it will be used for. Results Here, we implement a smooth and differentiable version of the Smith–Waterman pairwise alignment algorithm that enables jointly learning an MSA and a downstream machine learning system in an end-to-end fashion. To demonstrate its utility, we introduce SMURF (Smooth Markov Unaligned Random Field), a new method that jointly learns an alignment and the parameters of a Markov Random Field for unsupervised contact prediction. We find that SMURF learns MSAs that mildly improve contact prediction on a diverse set of protein and RNA families. As a proof of concept, we demonstrate that by connecting our differentiable alignment module to AlphaFold2 and maximizing predicted confidence, we can learn MSAs that improve structure predictions over the initial MSAs. Interestingly, the alignments that improve AlphaFold predictions are self-inconsistent and can be viewed as adversarial. This work highlights the potential of differentiable dynamic programming to improve neural network pipelines that rely on an alignment and the potential dangers of optimizing predictions of protein sequences with methods that are not fully understood. Availability and implementation Our code and examples are available at: https://github.com/spetti/SMURF. Supplementary information Supplementary data are available at Bioinformatics online.

Funder

National Institutes of Health

FAS Division of Science, Research Computing Group at Harvard University

NSF-Simons Center for Mathematical and Statistical Analysis of Biology at Harvard

NIH

Exascale Computing Project

Department of Energy Office of Science

National Nuclear Security Administration

Simons Center for Quantitative Biology at Cold Spring Harbor Laboratory

Developmental Funds from the Cancer Center Support

NSF

Moore–Simons Project on the Origin of the Eukaryotic Cell, Simons Foundation

Publisher

Oxford University Press (OUP)

Subject

Computational Mathematics,Computational Theory and Mathematics,Computer Science Applications,Molecular Biology,Biochemistry,Statistics and Probability

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