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Record W4413279381 · doi:10.1145/3750729

Fast and Small Subsampled R-indexes

2025· article· en· W4413279381 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueACM Transactions on Algorithms · 2025
Typearticle
Languageen
FieldComputer Science
TopicAlgorithms and Data Compression
Canadian institutionsDalhousie University
FundersAgencia Nacional de Investigación y Desarrollo
KeywordsMathematicsComputer scienceCombinatoricsStatistics

Abstract

fetched live from OpenAlex

The r -index (Gagie et al., JACM 2020) represented a breakthrough in compressed indexing of repetitive text collections, outperforming its alternatives by orders of magnitude in query time. Its space usage, \(\mathcal{O}(r)\) where \( r \) is the number of runs in the Burrows–Wheeler Transform of the text, is however higher than Lempel–Ziv and grammar-based indexes and makes it uninteresting in various real-life scenarios of milder repetitiveness. In this article, we introduce the sr -index , a variant that limits a large fraction of the space to \({\mathcal{O}}(\min(r,n/s))\) for a text of length \( n \) and a given parameter \( s \) , at the expense of multiplying by \( s \) the time per occurrence reported. The sr -index is obtained by carefully subsampling the text positions indexed by the r -index , in a way that we prove is still able to support pattern matching with guaranteed performance. Our experiments demonstrate that the theoretical analysis falls short in describing the practical advantages of the sr -index , because it performs much better on real texts than on synthetic ones: the sr -index retains the performance of the r -index while using 1.5–4.0 times less space, sharply outperforming virtually every other compressed index on repetitive texts in both time and space. Only a particular Lempel–Ziv-based index uses less space—about half—than the sr -index , but it is an order of magnitude slower. Our second contribution are the r -csa and sr -csa indexes. Just like the r -index adapts the well-known FM-Index to repetitive texts, the r -csa adapts Sadakane’s Compressed Suffix Array (CSA) to this case. We show that the principles used on the r -index turn out to fit naturally and efficiently in the CSA framework. The sr -csa is the corresponding subsampled version of the r -csa . While the CSA performs better than the FM-Index on classic texts with alphabets larger than DNA, our experiments show that the sr -csa outperforms the sr -index on repetitive texts not only over those larger alphabets, but on some DNA texts as well. Overall, our new subsampled indexes sweep the table of the existing indexes for highly repetitive text collection, by combining the exceptional speed of the r -index with drastically reduced storage use.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Other design · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.994
Threshold uncertainty score0.661

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.001
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0010.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.018
GPT teacher head0.257
Teacher spread0.239 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it