graph-laplacian-denoising

Denoise functional connectivity graphs via Laplacian eigen decomposition.

2|Updated Feb 12, 2026
One-click install
npx skills add https://github.com/hiyenwong/ai_collection --skill graph-laplacian-denoising
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: graph-laplacian-denoising
Source: https://github.com/hiyenwong/ai_collection/tree/main/collection/skills/graph-laplacian-denoising
Command: npx skills add https://github.com/hiyenwong/ai_collection --skill graph-laplacian-denoising

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

This skill denoises functional connectivity graphs derived from EEG data to improve the reliability of connectivity estimates and downstream brain-state detection.

Core Features & Use Cases

  • Graph Laplacian representation of connectivity matrices.
  • Spectral denoising to emphasize smooth, meaningful structure while reducing noise.
  • Jensen divergence-based similarity assessment to compare connectivity states.
  • Real-time brain-computer interface and clinical network analysis workflows.

Quick Start

Load your functional connectivity matrix and run the graph Laplacian denoising pipeline to produce a denoised Laplacian and updated FC estimates.

Frequently Asked Questions about graph-laplacian-denoising

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I denoise functional connectivity graphs to improve EEG brain-state classification?

You can denoise functional connectivity graphs using spectral denoising via eigen decomposition of the graph Laplacian. This process emphasizes smooth, meaningful brain connectivity structure while reducing noise to boost classification reliability.

What is graph Laplacian spectral denoising used for in brain network analysis?

Graph Laplacian spectral denoising is used to improve the reliability of functional connectivity estimates. By performing eigen decomposition, it filters out noise from brain graphs, enhancing downstream clinical network analysis and brain-state detection.

Can I use graph Laplacian denoising for real-time brain-computer interfaces?

Yes, graph Laplacian denoising is applicable for real-time brain-computer interfaces. It handles varying data sizes and noise levels, allowing you to process connectivity matrices efficiently for immediate BCI feedback and control.

How does Jensen divergence assess similarity between functional connectivity states?

Jensen divergence assesses similarity by comparing the distributions of functional connectivity states after denoising. This optional measurement evaluates the refined graph Laplacian representations to differentiate between various brain states accurately.

What is the best way to handle noise in EEG functional connectivity matrices?

The best way to handle noise in EEG functional connectivity matrices is applying spectral denoising to the graph Laplacian. This approach reduces varying noise levels while preserving the true underlying connectivity structure for reliable analysis.

Does graph Laplacian denoising support varying data sizes in clinical network analysis?

Yes, graph Laplacian denoising supports varying data sizes in clinical network analysis. The spectral denoising pipeline adapts to different functional connectivity matrix dimensions and noise levels to ensure robust clinical network evaluations.