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When do cheap embeddings beat protein language models? A theoretically-grounded hashing sketch for biological sequence classification

arxiv.org/abs/2512.10147

quality89

Updated 4 h ago · first seen 11 Sept 2026

paper_01M294FRWR7A08EN1ET44KTK8R

Published
11 Sept 2026
T1 · 4 h ago
arXiv
2512.10147
T1 · 4 h ago
Category
cs.LG
T1 · 4 h ago

Abstract

\textbf{Motivation:} Pre-trained protein language models (PLMs) such as ESM-2 have become the default representation for biological sequence tasks, but they are computationally heavy and require GPUs both for embedding and for fine-tuning. Whether they are actually necessary for sequence \emph{classification}, as opposed to structure prediction, is rarely tested against strong, principled, lightweight alternatives. This question has direct practical stakes for large-scale genomic surveillance, where embedding millions of sequences on commodity hardware is a recurring bottleneck.\\ \textbf{Results:} We introduce Murmur2Vec, an alignment-free, training-free embedding that aggregates $k$-mer counts into a small hash table via the deterministic MurmurHash function, and we cast it as a randomized sketch of the classical $k$-mer spectrum kernel. We provide a complete theoretical treatment: closed-form bias/variance of the inner product, an unbiased signed variant with a Johnson--Lindenstrauss-type concentration bound, an excess-risk bound for downstream linear classifiers that makes the bias--variance trade-off in the hash-table size explicit, and an implicit-regularization mechanism by which collisions damage frequent non-discriminative $k$-mers more than rare lineage-defining ones. Across four classification tasks, SARS-CoV-2 spike lineage (22 classes), HIV-1 Env subtype (8 classes), and two protein-family benchmarks (8 and 6 classes), Murmur2Vec matches a LoRA-fine-tuned 650M-parameter ESM-2 model on the two tasks for which LoRA fine-tuning was run to convergence (SARS-CoV-2 and HIV-1) and ties frozen ESM-2 on the two protein-family tasks, and it \emph{outperforms} the fine-tuned model on the hardest task (SARS-CoV-2 lineage: $0.854$ vs.\ $0.807$ accuracy; macro-F1 $0.684$ vs.\ $0.401$).

Authors 4

Sarwan Ali, Taslim Murad, Imdadullah Khan, Safi Faizullah

Specification

Official page

Source:arXiv (Atom API + RSS)T1observed 4 h agohigh

Arxiv announce type
replace

Source:arXiv (Atom API + RSS)T1observed 4 h agohigh

arXiv id
2512.10147

Source:arXiv (Atom API + RSS)T1observed 4 h agohigh

Categories
cs.LG, q-bio.GN

Source:arXiv (Atom API + RSS)T1observed 4 h agohigh

PDF

Source:arXiv (Atom API + RSS)T1observed 4 h agohigh

Primary category
cs.LG

Source:arXiv (Atom API + RSS)T1observed 4 h agohigh

Published
11 Sept 2026

Source:arXiv (Atom API + RSS)T1observed 4 h agohigh

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Provenance

Attributed facts

9

Source tiers

T19

Freshest observation

4 h ago

Conflicts

None