Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Stability of structures01:14

Stability of structures

321
In mechanical engineering, the stability of systems under various forces is critical for designing durable and efficient structures. One fundamental way to explore these concepts is by analyzing systems like two rods connected at a pivot point, O, with a torsional spring of spring constant k at the pivot point. This system is similar in appearance to a scissor jack used to change tires on a car. In this case, the arms of the linkage (equivalent to the rods in this system) are entirely vertical,...
321
Stability01:28

Stability

230
The time response of a linear time-invariant (LTI) system can be divided into transient and steady-state responses. The transient response represents the system's initial reaction to a change in input and diminishes to zero over time. In contrast, the steady-state response is the behavior that persists after the transient effects have faded.
The stability of an LTI system is determined by the roots of its characteristic equation, known as poles. A system is stable if it produces a bounded...
230
Pole and System Stability01:24

Pole and System Stability

599
The transfer function is a fundamental concept representing the ratio of two polynomials. The numerator and denominator encapsulate the system's dynamics. The zeros and poles of this transfer function are critical in determining the system's behavior and stability.
Simple poles are unique roots of the denominator polynomial. Each simple pole corresponds to a distinct solution to the system's characteristic equation, typically resulting in exponential decay terms in the system's...
599
Stability of Equilibrium Configuration01:23

Stability of Equilibrium Configuration

613
Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
613
Stability of Equilibrium Configuration: Problem Solving01:13

Stability of Equilibrium Configuration: Problem Solving

777
The stability of equilibrium configurations is an important concept in physics, engineering, and other related fields. In simple terms, it refers to the tendency of an object or system to return to its equilibrium position after being disturbed. The stability of an equilibrium configuration can be analyzed by considering the potential energy function of the system and examining its behavior near the equilibrium point.
Problem-solving in the context of the stability of equilibrium configuration...
777
Correlations02:20

Correlations

34.9K
Correlation means that there is a relationship between two or more variables (such as ice cream consumption and crime), but this relationship does not necessarily imply cause and effect. When two variables are correlated, it simply means that as one variable changes, so does the other. We can measure correlation by calculating a statistic known as a correlation coefficient. A correlation coefficient is a number from -1 to +1 that indicates the strength and direction of the relationship between...
34.9K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Unraveling health disparities across cause-specific outcomes associated with emerging air pollutants: Evidence on black carbon and ultrafine particles in Buffalo, New York.

Environmental research·2026
Same author

Consumption of whole and refined grains and the risk of gastric cancer: a pooled analysis within the Stomach cancer Pooling (StoP) Project.

European journal of nutrition·2026
Same author

Association of second-hand tobacco smoking with liver cancer, and interaction with HBV infection in a Chinese population-based case-control study.

Environmental epidemiology (Philadelphia, Pa.)·2026
Same author

Constructing a CA15-3 Ultrasensitive Fluorescent Probe Based on Dual-Ligand Peptides/UiO-66-NH<sub>2</sub>@AYG Composite Material.

Biomacromolecules·2026
Same author

Tumor-Derived Complement C3 Overexpression in STK11-Mutant Lung Adenocarcinoma Drives Tumor Growth and Immune Checkpoint Inhibitor Resistance.

Cancer immunology research·2026
Same author

Association between indoor air pollution and risk of oesophageal cancer: a Chinese population-based case-control study.

BMJ public health·2026
Same journal

Extracting Genetically-Imputed Causal Features From ECG Data.

Statistical analysis and data mining·2026
Same journal

Triangulation-Based Spatial Clustering for Adjacent Data With Heterogeneous Density.

Statistical analysis and data mining·2026
Same journal

Bayesian Posterior Interval Calibration to Improve the Interpretability of Observational Studies.

Statistical analysis and data mining·2025
Same journal

A treeless absolutely random forest with closed-form estimators of expected proximities.

Statistical analysis and data mining·2024
Same journal

Data-driven Stochastic Model for Quantifying the Interplay Between Amyloid-beta and Calcium Levels in Alzheimer's Disease.

Statistical analysis and data mining·2024
Same journal

A tree-based gene-environment interaction analysis with rare features.

Statistical analysis and data mining·2023
See all related articles

Related Experiment Video

Updated: Nov 11, 2025

Author Spotlight: Emerging Technologies and Advanced Tools for Decoding Metabolomics Data Analysis
07:11

Author Spotlight: Emerging Technologies and Advanced Tools for Decoding Metabolomics Data Analysis

Published on: November 10, 2023

3.0K

A framework for stability-based module detection in correlation graphs.

Mingmei Tian1, Rachael Hageman Blair1, Lina Mu2

  • 1Department of Biostatistics State University of New York at Buffalo Buffalo New York USA.

Statistical Analysis and Data Mining
|March 29, 2021
PubMed
Summary
This summary is machine-generated.

This study introduces a bootstrap method to measure the stability of graph module detection, improving reliability in network analysis. The approach enhances understanding of complex relationships and aids in selecting optimal graph parameters from data.

Keywords:
Jaccard coefficientclusteringgraphical modelmodule detectionnetworkstability

More Related Videos

Author Spotlight: Unlocking New Insights in fNIRS Studies - A Novel Framework for Inter-Brain Synchrony Analysis
05:59

Author Spotlight: Unlocking New Insights in fNIRS Studies - A Novel Framework for Inter-Brain Synchrony Analysis

Published on: October 6, 2023

2.9K
Divergence of Root Microbiota in Different Habitats based on Weighted Correlation Networks
09:49

Divergence of Root Microbiota in Different Habitats based on Weighted Correlation Networks

Published on: September 25, 2021

4.6K

Related Experiment Videos

Last Updated: Nov 11, 2025

Author Spotlight: Emerging Technologies and Advanced Tools for Decoding Metabolomics Data Analysis
07:11

Author Spotlight: Emerging Technologies and Advanced Tools for Decoding Metabolomics Data Analysis

Published on: November 10, 2023

3.0K
Author Spotlight: Unlocking New Insights in fNIRS Studies - A Novel Framework for Inter-Brain Synchrony Analysis
05:59

Author Spotlight: Unlocking New Insights in fNIRS Studies - A Novel Framework for Inter-Brain Synchrony Analysis

Published on: October 6, 2023

2.9K
Divergence of Root Microbiota in Different Habitats based on Weighted Correlation Networks
09:49

Divergence of Root Microbiota in Different Habitats based on Weighted Correlation Networks

Published on: September 25, 2021

4.6K

Area of Science:

  • Graph theory and network analysis
  • Statistical modeling and data mining
  • Bioinformatics and systems biology

Background:

  • Graphs represent complex relationships between variables, crucial for understanding interdependencies.
  • Module detection in graphs, also known as community detection or graph partitioning, is a challenging problem.
  • Existing methods often struggle with uncertainty in data-derived graphs, leading to unreliable structure estimates.

Purpose of the Study:

  • To develop a robust method for assessing the stability of module detection in uncertain graph structures.
  • To provide reliable estimates of module structure at node, module, and overall performance levels.
  • To introduce a framework for selecting graph complexity parameters that optimize stability.

Main Methods:

  • A nonparametric bootstrap approach is employed to assess the stability of module detection.
  • Stability estimates are calculated for individual nodes, inferred modules, and overall graph performance.
  • Bootstrap stability estimates are used for complexity parameter selection in graph construction.

Main Results:

  • The proposed bootstrap method provides reliable stability estimates for module detection in graphs.
  • The approach effectively addresses the exaggeration of uncertainty in module structure for data-derived networks.
  • Demonstrated utility on correlation graphs, generalizable to other dissimilarity-based graphs, and validated with simulations and a metabolomics dataset.

Conclusions:

  • The nonparametric bootstrap approach offers a powerful tool for evaluating the stability of graph module detection.
  • This method enhances the reliability of network analysis, particularly when dealing with uncertain or data-derived graphs.
  • The implemented R package 'bootcluster' facilitates the application of these stability assessment techniques.