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Record W2147461642 · doi:10.1109/ccece.2007.300

Incremental Line Tangent Space Alignment Algorithm

2007· article· en· W2147461642 on OpenAlexaff
Osama Abdel-Mannan, A. Ben Hamza, Amr Youssef

Bibliographic record

Venuenot available
Typearticle
Languageen
FieldComputer Science
TopicFace and Expression Recognition
Canadian institutionsConcordia University
Fundersnot available
KeywordsEmbeddingIntrinsic dimensionHessian matrixDimension (graph theory)Tangent spaceLinear subspaceCurse of dimensionalityProjection (relational algebra)Nonlinear dimensionality reductionManifold (fluid mechanics)TangentLine (geometry)AlgorithmRepresentation (politics)Space (punctuation)MathematicsBasis (linear algebra)Computer scienceParallelizable manifoldDimensionality reductionArtificial intelligenceApplied mathematicsGeometryCombinatorics

Abstract

fetched live from OpenAlex

In this paper an incremental version of line tangent space alignment (LTSA) is proposed on the basis of incremental locally linear embedding (LLE) generalizations and the subsequent incremental Hessian locally linear embedding (HLLE). The main goal of this algorithm is to reduce the dimensionality of high-dimension manifolds into a lower dimension representation such that the significant characteristics of the dataset are preserved while adapting to newly added points arriving to the dataset. Experimental results are performed to verify how the new projection of points, along with the additional points, produces a good fit to the original manifold.

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.

How this classification was reachedexpand

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: Bench or experimental · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.925
Threshold uncertainty score0.517

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 communication0.0000.000
Open science0.0000.000
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 head0.016
GPT teacher head0.259
Teacher spread0.243 · 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

Classification

machine, unvalidated

Machine predicted; a candidate call from one teacher head, not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designBench or experimental
Domainnot available
GenreMethods

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations6
Published2007
Admission routes1
Has abstractyes

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