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Record W3033693759 · doi:10.18280/isi.250202

A Novel Log-Based Tensor Completion Algorithm

2020· article· en· W3033693759 on OpenAlex
Juan Geng, Liang Yan, Yichao Liu

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.

venuePublished in a venue whose home country is Canada.
no affNo Canadian affiliation: this work is invisible to an affiliation-only frame.
No Canadian affiliation. An affiliation-only frame, the usual design, would never have seen this work. It is one of the works that make the case for inverting the frame.

Bibliographic record

VenueIngénierie des systèmes d information · 2020
Typearticle
Languageen
FieldMathematics
TopicTensor decomposition and applications
Canadian institutionsnot available
FundersNatural Science Foundation of Hebei ProvinceDepartment of Education of Hebei ProvinceNational Natural Science Foundation of China
KeywordsTensor (intrinsic definition)MathematicsMatrix normRank (graph theory)AlgorithmGeneralizationFunction (biology)CombinatoricsPure mathematicsMathematical analysis

Abstract

fetched live from OpenAlex

In recent years, tensor completion problem, as a higher order generalization of matrix completion, has received much attention from scholars engaged in computer vision, data mining, and neuroscience. The problem is often solved by convex relaxation, which minimizes the tensor nuclear norm instead of the n-rank of the tensor. However, tensor nuclear minimizes all the singular value at the same level, which is unfair to large singular values. To solve the problem, this paper defines a log function of tensor, and uses it as an approximation of tensor rank function. Then, a simple yet efficient log-based algorithm for tensor completion (Log-TC) was proposed to recover an underlying low n-rank tensor. The Log-TC was verified through experiments on randomly generated tensors and color image inpainting, in comparison with two tensor completion algorithms: fixed point iterative method for low-rank tensor completion (FP-LRTC) and fast low rank tensor completion algorithm (FaLRTC). The results show that our algorithm greatly outperformed the two contrastive methods.

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: none
Teacher disagreement score0.839
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
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.001
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 head0.053
GPT teacher head0.282
Teacher spread0.230 · 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