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A robust multi-view support vector machine with the RoBoSS loss function.

Yash Arora1, S K Gupta1, M Tanveer2

  • 1Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India.

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|April 14, 2026
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Summary
This summary is machine-generated.

This study introduces RoBoSS-MvSVM, a robust multi-view support vector machine (SVM) that integrates consensus and complementary information. It effectively handles noisy data and outperforms existing methods in multi-view learning tasks.

Keywords:
Consensus and complementarity principlesMulti-view learningRoBoSS loss functionSupport vector machines

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Area of Science:

  • Machine Learning
  • Data Science
  • Computer Vision

Background:

  • Multi-view learning leverages multiple data representations for improved performance.
  • Existing support vector machine (SVM)-based multi-view models often neglect complementary information and lack robustness to noise and inconsistencies.
  • There is a need for robust multi-view learning methods that can effectively integrate diverse data representations.

Purpose of the Study:

  • To propose a novel robust multi-view SVM framework, RoBoSS-MvSVM, that addresses limitations of existing methods.
  • To explicitly integrate both consensus and complementary information across multiple views.
  • To enhance the robustness and generalization performance of multi-view learning.

Main Methods:

  • Developed a robust multi-view SVM framework (RoBoSS-MvSVM) utilizing the RoBoSS loss function.
  • The RoBoSS loss function is designed for robustness, boundedness, sparsity, and smoothness, handling noisy and inconsistent samples.
  • Optimization is performed using the Nesterov accelerated gradient algorithm, with generalization capacity analyzed via Rademacher complexity.

Main Results:

  • RoBoSS-MvSVM demonstrated superior performance compared to baseline methods across synthetic, UCI/KEEL, and Animal with Attribute datasets.
  • The proposed method effectively integrates consensus and complementary information, leading to enriched data representation and resilient learning.
  • Experimental results consistently showed the outperformance of RoBoSS-MvSVM, with stability confirmed by hyperparameter analysis.

Conclusions:

  • RoBoSS-MvSVM offers a robust and effective solution for multi-view learning by integrating diverse information and handling data imperfections.
  • The framework provides reliable generalization performance, validated through theoretical analysis and comprehensive experiments.
  • The proposed method represents a significant advancement in robust multi-view SVM techniques.