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

Gaussian Elimination: Problem Solving01:30

Gaussian Elimination: Problem Solving

195
Systems of linear equations in several variables are pivotal in modeling complex scenarios involving multiple unknowns and constraints. Such systems are widely used in various fields to represent relationships where several conditions must be simultaneously satisfied. Each variable in the system corresponds to an unknown quantity, while each equation imposes a linear constraint, leading to a structured approach for analyzing and solving real-world problems.A system of three equations with three...
195
Solving Equations Graphically01:27

Solving Equations Graphically

519
Graphical methods provide an intuitive and visual means of solving equations by representing functions on the coordinate plane. These methods are especially helpful for estimating solutions, analyzing complex expressions, or understanding the behavior of functions.To solve an equation graphically, it must first be expressed in the form y = f(x). The solution to the original equation corresponds to the x-values where the graph intersects the x-axis, meaning where f(x) = 0.For example, the linear...
519
Graphical Representation of Inequalities01:28

Graphical Representation of Inequalities

220
The graph of the equation where y equals x squared forms a curve known as a parabola. This curve acts as a boundary in the coordinate plane, dividing it into distinct regions based on the relative position of points.When the equality sign in the equation is replaced with an inequality—such as greater than, less than, greater than or equal to, or less than or equal to—the graphical representation changes from a single curve into a broader shaded area that signifies the set of all...
220
Solving Inequalities Graphically01:24

Solving Inequalities Graphically

245
Solving inequalities graphically involves using a visual approach to determine where a mathematical expression meets a specific condition, such as being greater than or less than another value. By examining the position of a graph relative to the x-axis or another graph, it becomes possible to identify the range of x-values that satisfy the inequality. This method provides an intuitive understanding of solution intervals by showing where the inequality holds true.Graphical solutions to...
245
Graphical and Analytic Representation of Sinusoids01:20

Graphical and Analytic Representation of Sinusoids

986
Analyzing two sinusoidal voltages with equal amplitude and period but different phases on an oscilloscope, an instrument used to display and analyze waveforms, involves a three-step process.
The first step is measuring the peak-to-peak value, which is twice the amplitude of the sinusoid. This provides information about the maximum voltage swing of the waveform.
Secondly, the period and angular frequency are determined. The period is the time taken for one complete cycle of the waveform, while...
986
Velocity and Position by Graphical Method01:34

Velocity and Position by Graphical Method

10.3K
Velocity and position can be calculated from the known function of acceleration as a function of time. The total area under the acceleration-time graph and the velocity-time graph gives the change in velocity and position, respectively. In the case of an airplane, its acceleration is tracked using the inertial navigation system. The pilot provides the input of the airplane's initial position and velocity before takeoff. The inertial navigation system then uses the acceleration data to...
10.3K

You might also read

Related Articles

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

Sort by
Same author

High RSPO3 protein expression serves as an independent poor prognostic factor and promotes malignant progression in breast cancer.

Discover oncology·2026
Same author

Predictive Value of Anxiety State During Acute Herpes Zoster for the Development of Postherpetic Neuralgia.

Actas espanolas de psiquiatria·2026
Same author

Progress of Research on Cognitive Impairment in Patients With Chronic Obstructive Pulmonary Disease.

Actas espanolas de psiquiatria·2026
Same author

RSPO2-induced ferroptosis via PTBP1-mediated FSP1 mRNA decay suppresses breast cancer progression.

Frontiers in oncology·2026
Same author

Hijacking the host heparan sulfate-cell-surface ribonucleoproteins (RNPs) scaffold pathway for viral immune evasion.

Virologica Sinica·2026
Same author

Dynamic changes and clinical significance of the gut microbiota and serum metabolites in breast cancer onset, progression and chemotherapy intervention.

Frontiers in oncology·2026
Same journal

Cross-Domain Transfer Learning from Peptides to Metabolites Using a Multi-Property Fine-Tuned LLM.

Bioinformatics (Oxford, England)·2026
Same journal

Biomedical Concept Recognition with Error-aware Negative-enhanced Ranking Framework.

Bioinformatics (Oxford, England)·2026
Same journal

TEDLH: Domain HMMs for sensitive detection of remote homologues.

Bioinformatics (Oxford, England)·2026
Same journal

PLNFGL: Joint Estimation of Multi-Condition Gene Networks from Single-cell RNA-seq Data.

Bioinformatics (Oxford, England)·2026
Same journal

MCFST: Spatial domain identification method based on multi-view graph convolutional network and graph fusion network.

Bioinformatics (Oxford, England)·2026
Same journal

SpaBiT: Enhancing Spatial Transcriptomics Resolution via Bidirectional Attention Transformers.

Bioinformatics (Oxford, England)·2026
See all related articles

Related Experiment Video

Updated: Feb 6, 2026

Constructing and Visualizing Models using Mime-based Machine-learning Framework
06:19

Constructing and Visualizing Models using Mime-based Machine-learning Framework

Published on: July 22, 2025

2.6K

LtransHeteroGGM: local transfer learning for Gaussian graphical model-based heterogeneity analysis.

Chengye Li1, Hongwei Ma2, Mingyang Ren1

  • 1School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China.

Bioinformatics (Oxford, England)
|February 4, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces LtransHeteroGGM, a new method for analyzing heterogeneity in biological networks using Gaussian Graphical Models. It enables effective knowledge transfer between related subgroups, improving stability with limited data.

More Related Videos

Deep Learning-Based Segmentation of Cryo-Electron Tomograms
10:25

Deep Learning-Based Segmentation of Cryo-Electron Tomograms

Published on: November 11, 2022

10.8K
Asthma Detection Research Based on Voice Signal Processing and Machine Learning
04:04

Asthma Detection Research Based on Voice Signal Processing and Machine Learning

Published on: July 22, 2025

1.0K

Related Experiment Videos

Last Updated: Feb 6, 2026

Constructing and Visualizing Models using Mime-based Machine-learning Framework
06:19

Constructing and Visualizing Models using Mime-based Machine-learning Framework

Published on: July 22, 2025

2.6K
Deep Learning-Based Segmentation of Cryo-Electron Tomograms
10:25

Deep Learning-Based Segmentation of Cryo-Electron Tomograms

Published on: November 11, 2022

10.8K
Asthma Detection Research Based on Voice Signal Processing and Machine Learning
04:04

Asthma Detection Research Based on Voice Signal Processing and Machine Learning

Published on: July 22, 2025

1.0K

Area of Science:

  • Computational Biology
  • Bioinformatics
  • Systems Biology

Background:

  • Biological systems exhibit heterogeneity at both macro (complex diseases) and micro (single-cell) levels.
  • Gaussian Graphical Models (GGM) are valuable for analyzing biological regulatory networks but struggle with scarce data in rare subgroups.
  • Existing transfer learning methods for GGM heterogeneity analysis assume unrealistic global similarity and fixed subgroup structures.

Purpose of the Study:

  • To develop a novel local transfer learning framework, LtransHeteroGGM, for robust GGM-based heterogeneity analysis.
  • To enable effective subgroup-level knowledge transfer from informative auxiliary domains, even with unknown subgroup structures.
  • To address the limitations of existing methods in handling local similarities and mitigating interference from non-informative domains.

Main Methods:

  • Proposed LtransHeteroGGM, a local transfer learning framework for GGM heterogeneity analysis.
  • Implemented a method for powerful subgroup-level local knowledge transfer.
  • Designed to handle unknown subgroup structures and numbers, and mitigate negative interference from non-informative domains.

Main Results:

  • Demonstrated the effectiveness and robustness of LtransHeteroGGM through comprehensive numerical simulations.
  • Validated the approach on real-world T cell heterogeneity data.
  • Achieved powerful subgroup-level local knowledge transfer, outperforming existing methods.

Conclusions:

  • LtransHeteroGGM provides a powerful and robust framework for GGM-based heterogeneity analysis.
  • The method successfully enables local knowledge transfer, improving analysis of complex biological systems.
  • The R implementation is available for broader application in biological research.