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Record W4416678022 · doi:10.1016/j.neucom.2025.132074

Deep tensor decomposition: A survey

2025· article· en· W4416678022 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

VenueNeurocomputing · 2025
Typearticle
Languageen
FieldMathematics
TopicTensor decomposition and applications
Canadian institutionsMcGill University
Fundersnot available
KeywordsDeep learningMultilinear mapTensor (intrinsic definition)Matrix decompositionNonlinear systemDeep neural networksCurse of dimensionalityArtificial neural network

Abstract

fetched live from OpenAlex

Tensor decomposition (TD) has been recognized as an effective technique for multilinear dimensionality reduction and feature extraction for decades. However, traditional TD approaches often struggle to capture complex hierarchical structures and nonlinear relationships in high-dimensional datasets. For instance, in biomedical settings, disease groups may naturally contain subgroups or exhibit hierarchical structures; mechanistic interactions among diseases, drugs and targets often demonstrate nonlinearity. To address these challenges, a new paradigm, deep tensor decomposition (deep TD) has recently emerged inspired by the success of deep learning. Deep TD techniques can be mainly divided into two categories: linear and nonlinear deep TD. Linear deep TD exploits the layered structure of deep neural networks (DNNs) to recursively factorize factor matrices obtained from the classic TD enabling feature extraction at multiple levels of granularity. Nonlinear deep TD leverages the expressive power of DNNs to capture nonlinear correlations within the data. Despite rapid progress, there remains no unified treatment of deep TD methods. In this survey, we provide a comprehensive review of deep TD models, together with the deep learning training schemes for TD, and applications of deep TD models. Finally, we discuss open challenges and outline promising directions for future research.

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: Theoretical or conceptual · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.639
Threshold uncertainty score0.515

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 head0.046
GPT teacher head0.366
Teacher spread0.321 · 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