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Identifying the Relationship Structure Among Multiple Datasets Using Independent Vector Analysis: Application to

Isabell Lehmann1, Tanuj Hasija1, Ben Gabrielson2

  • 1Signal and System Theory Group, Paderborn University, 33098 Paderborn, Germany.

IEEE Access : Practical Innovations, Open Solutions
|July 30, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces a robust 3-step method using Independent Vector Analysis (IVA) to identify relationships among multiple datasets. The approach effectively handles complex data and accurately reveals brain region activation in fMRI studies.

Keywords:
Blind source separationbootstrapdata-drivenfMRIindependent vector analysisrelationship structure

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Area of Science:

  • Neuroimaging
  • Statistical Analysis
  • Machine Learning

Background:

  • Identifying relationships across multiple datasets is crucial for data summarization and analysis.
  • Existing methods often require user-defined thresholds and struggle with non-Gaussian data.

Purpose of the Study:

  • To propose a robust, theory-backed 3-step method for identifying relationship structures among multiple datasets.
  • To overcome limitations of previous approaches, including the need for thresholds and handling of non-Gaussian data.

Main Methods:

  • Utilizes Independent Vector Analysis (IVA) to incorporate higher-order statistics and handle non-Gaussian data.
  • Employs eigenvalue decomposition for feature extraction without distributional assumptions.
  • Applies hierarchical clustering to identify relationship structures.

Main Results:

  • Achieves perfect Adjusted Mutual Information (AMI) in simulations across various component correlations.
  • Successfully identifies activated brain regions in multi-task fMRI data for schizophrenia patients and controls.
  • Demonstrates accurate identification of task dataset relationships consistent with experimental knowledge.

Conclusions:

  • The proposed method provides a robust and interpretable approach for multi-dataset relationship identification.
  • It effectively handles non-Gaussian data and eliminates the need for user-defined thresholds.
  • Shows broad applicability in neuroimaging, subgroup identification, and other data analysis domains.