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

Residuals and Least-Squares Property01:11

Residuals and Least-Squares Property

The vertical distance between the actual value of y and the estimated value of y. In other words, it measures the vertical distance between the actual data point and the predicted point on the line
If the observed data point lies above the line, the residual is positive, and the line underestimates the actual data value for y. If the observed data point lies below the line, the residual is negative, and the line overestimates the actual data value for y.
The process of fitting the best-fit...
Linearization and Approximation01:26

Linearization and Approximation

Linearization is a mathematical technique used to approximate complex, nonlinear functions with simpler linear models in the vicinity of a chosen reference point. The method is based on the idea that, although a function may be difficult to evaluate exactly, its behavior near a specific input value can often be closely approximated by the tangent line at that point. This approach is particularly useful when small deviations from a known value are involved.Consider the square root function, for...
Application of Linearization and Approximation01:29

Application of Linearization and Approximation

A drone flying through complex terrain often relies on more than one sensing method to estimate small changes in altitude. Along with direct measurements, air pressure provides a useful indirect indicator of vertical movement. Atmospheric pressure decreases as altitude increases, and this relationship is commonly described using an exponential model. Although accurate, converting pressure measurements into altitude values requires calculations that are too complex to perform repeatedly during...
Routh-Hurwitz Criterion II01:19

Routh-Hurwitz Criterion II

In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first column of the Routh...
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear.
Routh-Hurwitz Criterion I01:15

Routh-Hurwitz Criterion I

Consider an electrical power grid, where stability is essential to prevent blackouts. The Routh-Hurwitz criterion is a valuable tool for assessing system stability under varying load conditions or faults. By analyzing the closed-loop transfer function, the Routh-Hurwitz criterion helps determine whether the system remains stable.
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...

You might also read

Related Articles

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

Sort by
Same author

[Analysis of the prevalence and influencing factors of myopia among primary and secondary school students in Inner Mongolia Autonomous Region in 2022].

Beijing da xue xue bao. Yi xue ban = Journal of Peking University. Health sciences·2026
Same author

Kernel Stein Discrepancy on Lie Groups: Theory and Applications.

IEEE transactions on information theory·2024
Same author

HIGHER ORDER GAUGE EQUIVARIANT CONVOLUTIONS FOR NEURODEGENERATIVE DISORDER CLASSIFICATION.

Proceedings. IEEE International Symposium on Biomedical Imaging·2024
Same author

Evaluating the Efficacy of the Male Annihilation Technique in Managing Oriental Fruit Fly (Diptera: Tephritidae) Populations through Microscopic Assessment of Female Spermathecae.

Insects·2024
Same author

Horospherical Decision Boundaries for Large Margin Classification in Hyperbolic Space.

Advances in neural information processing systems·2024
Same author

An Empirical Bayes Approach to Shrinkage Estimation on the Manifold of Symmetric Positive-Definite Matrices.

Journal of the American Statistical Association·2024
Same journal

Look Hear: Gaze Prediction for Speech-directed Human Attention.

Computer vision - ECCV ... : ... European Conference on Computer Vision : proceedings. European Conference on Computer Vision·2026
Same journal

Leveraging Near-Field Lighting for Monocular Depth Estimation from Endoscopy Videos.

Computer vision - ECCV ... : ... European Conference on Computer Vision : proceedings. European Conference on Computer Vision·2026
Same journal

Cross-Domain Learning for Video Anomaly Detection with Limited Supervision.

Computer vision - ECCV ... : ... European Conference on Computer Vision : proceedings. European Conference on Computer Vision·2026
Same journal

PseudoClick: Interactive Image Segmentation with Click Imitation.

Computer vision - ECCV ... : ... European Conference on Computer Vision : proceedings. European Conference on Computer Vision·2025
Same journal

DGR-MIL: Exploring Diverse Global Representation in Multiple Instance Learning for Whole Slide Image Classification.

Computer vision - ECCV ... : ... European Conference on Computer Vision : proceedings. European Conference on Computer Vision·2025
Same journal

DEPICT: Diffusion-Enabled Permutation Importance for Image Classification Tasks.

Computer vision - ECCV ... : ... European Conference on Computer Vision : proceedings. European Conference on Computer Vision·2025
See all related articles

Related Experiment Videos

A Robust and Efficient Doubly Regularized Metric Learning Approach.

Meizhu Liu, Baba C Vemuri

    Computer Vision - ECCV ... : ... European Conference on Computer Vision : Proceedings. European Conference on Computer Vision
    |September 10, 2013
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces DRMetric, a novel doubly regularized metric learning algorithm. It improves Mahalanobis distance learning by stabilizing training weights and reducing redundant rank-one matrices for better computer vision performance.

    Related Experiment Videos

    Area of Science:

    • Computer Vision
    • Pattern Recognition
    • Machine Learning

    Background:

    • Distance metrics are crucial for computer vision and pattern recognition tasks.
    • Learning a task-specific metric is often more effective than using generic ones.
    • Existing Mahalanobis distance learning methods can suffer from unstable weights and redundant components.

    Purpose of the Study:

    • To propose a novel doubly regularized metric learning algorithm (DRMetric).
    • To address the limitations of conventional metric learning approaches.
    • To enhance the performance and robustness of distance metric learning.

    Main Methods:

    • DRMetric imposes two regularizations on conventional metric learning.
    • A regularization is applied to training example weights to prevent instability and down-weight outliers.
    • A regularization is applied to rank-one matrices to ensure their independence and reduce redundancy.

    Main Results:

    • The proposed DRMetric algorithm demonstrates improved performance.
    • The regularizations effectively stabilize weight changes and reduce matrix redundancy.
    • Experiments show the method's efficacy across various datasets and applications.

    Conclusions:

    • DRMetric offers a more robust and efficient approach to metric learning.
    • The doubly regularized method enhances the reliability of learned distance metrics.
    • This work contributes to advancing computer vision and pattern recognition applications.