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Record W2159228779 · doi:10.1109/icct.2000.889351

Lossless image coding via one-dimensional grammar based codes

2002· article· en· W2159228779 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

Venuenot available
Typearticle
Languageen
FieldComputer Science
TopicAlgorithms and Data Compression
Canadian institutionsUniversity of Waterloo
Fundersnot available
KeywordsArithmetic codingLossless compressionContext-adaptive variable-length codingVariable-length codeTunstall codingContext-adaptive binary arithmetic codingComputer scienceCoding (social sciences)AlgorithmRedundancy (engineering)Theoretical computer scienceShannon–Fano codingArtificial intelligenceMathematicsComputer visionData compressionDecoding methods

Abstract

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Lossless image coding is considered from an information theoretic point of view. Three new coding schemes are proposed. In the first coding scheme, an image is first scanned in a quadrant-by-quadrant manner and then encoded by using a one-dimensional grammar-based code which has been developed by Yang and Kieffer (2000) and is called the improved sequential algorithm (or simply the YK algorithm). In the second coding scheme, an image is first predicted by using a context template then scanned in a quadrant-by-quadrant manner, and finally encoded by using the YK algorithm. In the third coding scheme, an image is first scanned in a quadrant-by-quadrant manner and then encoded by using a modified YK algorithm, which also includes a 2D arithmetic code as an option to remove local 2D redundancy. Because of the nature of the YK algorithm and the scanning method, all three coding schemes can remove effectively global redundancy existing in images. Indeed, it is proved that all three coding schemes are universal and outperform asymptotically finite 2D block code and any finite context 2D arithmetic code as the image size gets larger and larger. For small images, however, the second coding scheme is slightly more effective in removing local redundancy occurring in images than does the first coding scheme, and the third one is the best among the three. Simulation results on bi-level images confirm our theoretic results: for images of size 512/spl times/512, our results are comparable with those afforded by JBIG1; for some images of size 1024/spl times/1024, our results are better than those afforded by JBIG1.

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: Simulation or modeling · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.985
Threshold uncertainty score0.801

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.001
Open science0.0010.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0010.000

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 head0.027
GPT teacher head0.232
Teacher spread0.205 · 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

Quick stats

Citations1
Published2002
Admission routes1
Has abstractyes

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