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*This post accompanies a recent publication and is part of our

series story behind the paper,

inspired by [Jonathan Eisen’s series of the same

name](http://phylogenomics.blogspot.ch/search/label/story%20behind%20the%20paper).*

 

One fundamental step in sequence analysis is the identification of homologous

sequences, sequences related through common ancestry. There are many different

ways of identifying homolog but they broadly fall into two categories:

all-against-all comparisons and clustering.

The all-against-all approach aligns every sequence with every other one. This

is straighforward to implement, relatively sensitive, and robust to variations

in sequence lengths. The main downside of all-against-all comparisons is the

quadratic computational cost with respect to the number of sequences.

In contrast, clustering works by using one representative sequence or profile

per homologous family of genes (clusters), thus limiting the number of

required comparisons to one per cluster. Assuming a fixed (or nearly fixed)

number of clusters, the computational cost is (nearly) linear in the number of

input sequences. Clustering methods however tend to miss more homologous

relationships than the all-against-all.

Can the sensitivity of the all-against-all be achieved at the speed of clustering?

The OMA database—developed in our lab—currently

relies upon an all-against-all. With 8,798,758 protein sequences from 1706

genomes in the latest release, this represents 38.7 trillion alignments. We

could probably cope with a few thousands genomes more, but will struggle to

get to the next order of magnitude with the current pipeline.

Furthermore, it is difficult to accept that as we increasingly sample the protein

sequence universe, even though we know more and more about its diversity, the

marginal computational cost of adding sequences goes higher, not lower.

In this project, we thus set out to try to achieve the sensitivity of the

all-against-all at the speed of clustering.

Transitivity of homology

In principle, homology is a transitive relationship: if gene A is homologous

to gene B, and gene B is homologous to gene C, this implies that gene A is

homologous to gene C. Transitive relationships are typically a good fit for

clustering.

In practice, however, things are more complicated. Homology can be difficult

to ascertain for very divergent sequences. Furthermore, homology is not always

transitive due to insertions, deletions, fusion, fissions, and other events

that may cause inconsistencies in terms of matching residues across multiple

homologs. This figure illustrates these problems and outlines the ideas

we implemented to address them:

Transitivity of homology or lack thereof

Encouraging results

Putting together the ideas outlined in the figure above, we were pleasantly

surprised to see that clustering can indeed be both sensitive and fast. We

obtained 4-5x speed-ups across various datasets while recovering ~99.9% of all

homologous relationships identified through all-against-all.

In comparison, general purpose clustering approaches such as

kClust or

UCLUST—which [admittedly have not been

designed to identify distant homologs

effectively](http://drive5.com/usearch/manual/uclust_algo.html)—only recover

~10% of all homologous relationships. They are, however, several orders of

magnitude faster.

Only the beginning

The results of our proof-of-concept implementation are thus very

encouraging. We have plans to follow up with a long list of refinement ideas,

many of which we discuss in the manuscript. One essential

refinement will be to parallelise the new approach. This is not as

straightforward as with all-against-all compraisons, but we think it can be

done.

Meanwhile, the serial variant is available as part of the [OMA

standalone](http://omabrowser.org/standalone) package.

Reference

Wittwer, L., Piližota, I., Altenhoff, A., & Dessimoz, C. (2014). Speeding up all-against-all protein comparisons while maintaining sensitivity by considering subsequence-level homology PeerJ, 2:e607 DOI: 10.7717/peerj.607