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

Outliers and Influential Points01:08

Outliers and Influential Points

An outlier is an observation of data that does not fit the rest of the data. It is sometimes called an extreme value. When you graph an outlier, it will appear not to fit the pattern of the graph. Some outliers are due to mistakes (for example, writing down 50 instead of 500), while others may indicate that something unusual is happening. Outliers are present far from the least squares line in the vertical direction. They have large "errors," where the "error" or residual is the vertical...
What Are Outliers?01:12

What Are Outliers?

Outliers are observed data points that are far from the least squares line. They have unusual values and need to be examined carefully. Though an outlier may result from erroneous data, at other times, it may hold valuable information about the population under study and should be included in the data. Hence, it is crucial to examine what causes a data point to be an outlier.
The z score is used to find outliers or unusual values. It should be noted that any values beyond -2 and +2 are...
Quantifying and Rejecting Outliers: The Grubbs Test01:02

Quantifying and Rejecting Outliers: The Grubbs Test

Sometimes, a data set can have a recorded numerical observation that greatly  deviates from the rest of the data. Assuming that the data is normally distributed, a statistical method called the Grubbs test can be used to determine whether the observation is truly an outlier.  To perform a two-tailed Grubbs test, first, calculate the absolute difference between the outlier and the mean. Then, calculate the ratio between this difference and the standard deviation of the sample. This number is...
Linear Approximations01:23

Linear Approximations

For a differentiable function of two variables, linear approximation estimates values near a known point by replacing the curved surface with its tangent plane. Consider the function\begin{equation*}f(x,y)=x^2+3y^2\end{equation*}near the point (2, 1). The exact value at this point is f(2, 1) = 22 + 3(1)2 = 4 + 3 = 7.The linear approximation of f(x, y)) near (a, b) is\begin{equation*}L(x,y)=f(a,b)+f_x(a,b)(x-a)+f_y(a,b)(y-b)\end{equation*}First, compute the partial derivatives: fx(x, y) = 2x and...
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...
Regression Toward the Mean01:52

Regression Toward the Mean

Regression toward the mean (“RTM”) is a phenomenon in which extremely high or low values—for example, and individual’s blood pressure at a particular moment—appear closer to a group’s average upon remeasuring. Although this statistical peculiarity is the result of random error and chance, it has been problematic across various medical, scientific, financial and psychological applications. In particular, RTM, if not taken into account, can interfere when researchers try to extrapolate results...

You might also read

Related Articles

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

Sort by
Same author

Fully Actuated System Approach-Based Tracking Control for High-Order Nonlinear System Under False Data Injection and Malicious Attacks.

IEEE transactions on cybernetics·2026
Same author

Nonfragile Fault-Tolerant Control for Power Cyber-Physical Systems With Cyber Attacks.

IEEE transactions on cybernetics·2025
Same author

Novel SMC for Discrete Interval Type-2 Fuzzy Semi-Markovian Switching Models With Incomplete Semi-Markovian Kernel.

IEEE transactions on cybernetics·2025
Same author

Adaptive Fuzzy Control of Networked Hidden Stochastic Switching Power Systems Under Cyber Attacks.

IEEE transactions on cybernetics·2025
Same author

A Sliding Mode Control Method With Variable Convergence Rate for Nonlinear Impulsive Stochastic Systems.

IEEE transactions on cybernetics·2025
Same author

Event-Triggered Extended Dissipative FTB for T-S Fuzzy Switched Systems With Mismatched Phenomena and Deception Attacks: A Multidomain Framework.

IEEE transactions on cybernetics·2024

Related Experiment Videos

Robust support vector regression networks for function approximation with outliers.

Chen-Chia Chuang1, Shun-Feng Su, Jin-Tsong Jeng

  • 1Dept. of Electron. Eng., Hwa-Hsia Coll. of Technol. and Commerce, Taipei, Taiwan.

IEEE Transactions on Neural Networks
|February 5, 2008
PubMed
Summary

This study introduces a robust support vector regression (RSVR) network to improve support vector regression (SVR) performance. RSVR effectively suppresses overfitting and enhances model robustness, even with improper parameter selection.

Related Experiment Videos

Area of Science:

  • Machine Learning
  • Computational Statistics

Background:

  • Support vector regression (SVR) is used for function approximation and regression.
  • SVR exhibits robustness to noise but can overfit due to improper parameter selection or outliers.

Purpose of the Study:

  • To propose a novel robust support vector regression (RSVR) network.
  • To enhance the robust capabilities and learning performance of SVR.

Main Methods:

  • The proposed RSVR network integrates traditional robust learning approaches.
  • This method aims to improve learning performance irrespective of parameter selection.

Main Results:

  • Simulation results demonstrate that RSVR consistently improves learned system performance.
  • RSVR effectively suppresses overfitting, as testing errors do not increase with prolonged training.

Conclusions:

  • The novel RSVR network enhances SVR's robustness and learning performance.
  • RSVR successfully mitigates overfitting issues inherent in traditional SVR.