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

Vectors in 2D: Problem Solving01:29

Vectors in 2D: Problem Solving

A plane traveling due north at 180 km/h in still air was found to be 80 km off-course after 30 minutes, deviating approximately 5 degrees east of north. This deviation means the influence of a crosswind alters the plane’s intended trajectory. The actual ground path formed a diagonal, suggesting that the aircraft’s effective ground speed was reduced to 160 km/h and directed slightly to the east due to the wind.By analyzing the displacement from the intended path, the velocity contributed by the...
Vectors in Space: Problem Solving01:26

Vectors in Space: Problem Solving

A chandelier suspended by multiple cables can be analyzed using principles of three-dimensional static equilibrium. In this setup, a chandelier weighing 1000 N is positioned at the origin of a three-dimensional coordinate system, while three ceiling anchor points are fixed at known locations above it. Each cable connects the chandelier to one anchor point and transmits a tensile force along its length.To find out the forces in the cables, the spatial direction of each cable must first be...
Vector Calculus: Problem Solving01:20

Vector Calculus: Problem Solving

Vector calculus provides mathematical tools for analyzing physical fields that vary throughout space. One important application is the study of gravitational interactions between celestial bodies. Consider the Earth positioned at the origin and a satellite located at a point in three-dimensional space. The Earth exerts a gravitational force on the satellite, and this force can be described by components acting along the coordinate directions. Together, these components form a vector field that...
Vector Functions and Motion: Problem Solving01:30

Vector Functions and Motion: Problem Solving

Accurate position tracking is fundamental to the safe and effective operation of unmanned aerial vehicles (UAVs), particularly during precision maneuvers near complex structures. In this scenario, a drone is programmed to perform a high-precision inspection of a vertical structure, starting at position ((x, y, z) = (3, 0, 0)), with an initial velocity oriented in the positive z-direction. The trajectory of the drone is governed by a time-dependent acceleration function a(t), which is predefined...
Vector Algebra: Method of Components01:08

Vector Algebra: Method of Components

It is cumbersome to find the magnitudes of vectors using the parallelogram rule or using the graphical method to perform mathematical operations like addition, subtraction, and multiplication. There are two ways to circumvent this algebraic complexity. One way is to draw the vectors to scale, as in navigation, and read approximate vector lengths and angles (directions) from the graphs. The other way is to use the method of components.
In many applications, the magnitudes and directions of...
Gaussian Elimination: Problem Solving01:30

Gaussian Elimination: Problem Solving

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...

You might also read

Related Articles

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

Sort by
Same author

Mixture of Cluster-Conditional LoRA Experts for Vision-Language Instruction Tuning.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same author

An online forecasting-based fine-tuning pipeline for time-series anomaly prediction.

Neural networks : the official journal of the International Neural Network Society·2026
Same author

A Survey of Automated Data Augmentation for Image Classification: Learning to Compose, Mix, and Generate.

IEEE transactions on neural networks and learning systems·2023
Same author

Spectral Multimodal Hashing and Its Application to Multimedia Retrieval.

IEEE transactions on cybernetics·2015
Same author

Solution path for manifold regularized semisupervised classification.

IEEE transactions on systems, man, and cybernetics. Part B, Cybernetics : a publication of the IEEE Systems, Man, and Cybernetics Society·2011
Same author

Semisupervised generalized discriminant analysis.

IEEE transactions on neural networks·2011
Same journal

Universal perceptron and DNA-like learning algorithm for binary neural networks: LSBF and PBF implementations.

IEEE transactions on neural networks·2013
Same journal

Data-based fault-tolerant control of high-speed trains with traction/braking notch nonlinearities and actuator failures.

IEEE transactions on neural networks·2011
Same journal

Neural network-based multiple robot simultaneous localization and mapping.

IEEE transactions on neural networks·2011
Same journal

Data-driven model-free adaptive control for a class of MIMO nonlinear discrete-time systems.

IEEE transactions on neural networks·2011
Same journal

Data-based identification and control of nonlinear systems via piecewise affine approximation.

IEEE transactions on neural networks·2011
Same journal

Data-core-based fuzzy min-max neural network for pattern classification.

IEEE transactions on neural networks·2011
See all related articles

Related Experiment Video

Updated: Jun 29, 2026

Visualization Method for Proprioceptive Drift on a 2D Plane Using Support Vector Machine
07:05

Visualization Method for Proprioceptive Drift on a 2D Plane Using Support Vector Machine

Published on: October 27, 2016

A new solution path algorithm in support vector regression.

Gang Wang1, Dit-Yan Yeung, Frederick H Lochovsky

  • 1Hong Kong University of Science and Technology, Hong Kong, China. gawa@microsoft.com

IEEE Transactions on Neural Networks
|October 10, 2008
PubMed
Summary
This summary is machine-generated.

This study introduces a new epsilon-path algorithm for support vector regression (SVR) model selection. This method efficiently explores solutions by tracing the epsilon hyperparameter, offering practical advantages over existing lambda-path algorithms.

Related Experiment Videos

Last Updated: Jun 29, 2026

Visualization Method for Proprioceptive Drift on a 2D Plane Using Support Vector Machine
07:05

Visualization Method for Proprioceptive Drift on a 2D Plane Using Support Vector Machine

Published on: October 27, 2016

Area of Science:

  • Machine Learning
  • Computational Statistics

Background:

  • Regularization path algorithms offer efficient model selection by exploring solution spaces.
  • Support Vector Regression (SVR) models, including epsilon-SVR, have been adapted for this approach.
  • Current methods require pre-specification of the error parameter epsilon, limiting flexibility.

Purpose of the Study:

  • To analyze the solution space of epsilon-SVR.
  • To propose a novel epsilon-path algorithm for SVR model selection.
  • To overcome limitations of existing lambda-path algorithms.

Main Methods:

  • Analysis of the epsilon-SVR solution space.
  • Development of a new solution path algorithm tracing the epsilon hyperparameter.
  • Comparison of the proposed epsilon-path algorithm with the lambda-path algorithm.

Main Results:

  • The epsilon-path algorithm effectively traces the solution path with respect to epsilon.
  • Both epsilon-path and lambda-path algorithms exhibit piecewise linearity.
  • The epsilon-path algorithm demonstrates advantages over the lambda-path algorithm.

Conclusions:

  • The proposed epsilon-path algorithm provides a more flexible and practical approach to SVR model selection.
  • This method enhances the utility of regularization path algorithms for epsilon-SVR.
  • The algorithm's advantages make it appealing for real-world applications.