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Multi-Tensor Decomposition - Ontify

Multi-Tensor Decomposition

Comparative Spectral Decomposition

Comparative factorization of multiple tensors of equal orders or numbers of axes, shared column axes, and independent row axes.

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Generalized Singular Value Decomposition for Comparative Analysis of Genome-Scale Expression Data Sets of Two Different Organisms

Novel Genome-Scale Correlation Between DNA Replication and RNA Transcription During the Cell Cycle in Yeast Is Predicted by Data-Driven Models

Integrative Analysis of Genome-Scale Data by Using Pseudoinverse Projection Predicts Novel Correlation Between DNA Replication and RNA Transcription

A Novel Higher-Order Generalized Singular Value Decomposition for Comparative Analysis of Multiple Genome-Scale Datasets

A Higher-Order Generalized Singular Value Decomposition for Comparison of Global mRNA Expression From Multiple Organisms

GSVD Comparison of Patient-Matched Normal and Tumor aCGH Profiles Reveals Global Copy-Number Alterations Predicting Glioblastoma Multiforme Survival

Tensor GSVD of Patient- and Platform-Matched Tumor and Normal DNA Copy-Number Profiles Uncovers Chromosome Arm-Wide Patterns of Tumor-Exclusive Platform-Consistent Alterations Encoding for Cell Transformation and Predicting Ovarian Cancer Survival

DNA Copy-Number Alterations in Primary Ovarian Serous Cystadenocarcinoma Encoding for Cell Transformation and Predicting Survival and Response to Platinum Therapy Throughout the Course of the Disease

Platform-Independent Genome-Wide Pattern of DNA Copy-Number Alterations Predicting Astrocytoma Survival and Response to Treatment Revealed by the GSVD Formulated as a Comparative Spectral Decomposition

Mathematically Universal and Biologically Consistent Astrocytoma Genotype Encodes for Transformation and Predicts Survival Phenotype

Patterns of DNA Copy-Number Alterations Revealed by the GSVD and Tensor GSVD Encode for Cell Transformation and Predict Survival and Response to Platinum in Adenocarcinomas

Mathematically Universal and Biologically Consistent Astrocytoma Genotype Encodes for Transformation and Predicts Survival Phenotype

GSVD- and Tensor GSVD-Uncovered Patterns of DNA Copy-Number Alterations Predict Adenocarcinomas Survival in General and in Response to Platinum

Retrospective Clinical Trial Experimentally Validates Glioblastoma Genome-Wide Pattern of DNA Copy-Number Alterations Predictor of Survival

Multi-Tensor Decompositions for Personalized Cancer Diagnostics, Prognostics, and Therapeutics

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Multi-Tensor Decompositions for Personalized Cancer Diagnostics and Prognostics

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Generalized Singular Value Decomposition

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