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Multi-input and Multi-variable systems01:22

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Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence...
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Safe screening rules for multi-view support vector machines.

Huiru Wang1, Jiayi Zhu2, Siyuan Zhang3

  • 1Department of Mathematics, College of Science, Beijing Forestry University, No. 35 Qinghua East Road, 100083 Haidian, Beijing, China.

Neural Networks : the Official Journal of the International Neural Network Society
|August 4, 2023
PubMed
Summary
This summary is machine-generated.

This study introduces safe screening rules (SSR) for multi-view learning models like SVM-2K and MvTwSVM. These rules efficiently reduce problem size, speeding up solutions without affecting accuracy.

Keywords:
Multi-view learningSafe screeningSpeedupSupport vector machine

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Area of Science:

  • Machine Learning
  • Data Science
  • Artificial Intelligence

Background:

  • Multi-view learning leverages diverse data perspectives for enhanced information mining.
  • Existing multi-view learning algorithms often exhibit high computational complexity compared to single-view methods.

Purpose of the Study:

  • To develop novel safe screening rules for multi-view learning models.
  • To significantly reduce the computational complexity and improve the solution speed of multi-view learning algorithms.

Main Methods:

  • Analysis of optimality conditions for SVM-2K and multi-view twin support vector machine (MvTwSVM).
  • Derivation of safe screening rules (SSR-SVM-2K and SSR-MvTwSVM) based on dual variable-sample relationships.
  • Development of a sequential screening rule to accelerate parameter optimization.

Main Results:

  • Proposed SSR-SVM-2K and SSR-MvTwSVM rules enable pre-emptive assignment or deletion of dual variables.
  • Screening process demonstrably reduces optimization problem scale and enhances solution speed.
  • The derived screening criteria are proven to be 'safe,' ensuring solution consistency with the original problem.
  • Analysis of computational complexity and parameter interval-screening rate relationships provided.

Conclusions:

  • The developed safe screening rules offer a significant advancement in multi-view learning efficiency.
  • The methods are validated through numerical experiments, confirming their effectiveness.
  • This work provides insights into the similarities and differences between multi-view and single-view SVM screening rules.