Skip to main content

Randomly Selection of Interior Points in SV Learning Algorithm Uses of Confidence Parameter

  • Conference paper
  • First Online:
Proceedings of 2nd International Conference on Mathematical Modeling and Computational Science

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1422))

  • 190 Accesses

Abstract

Machine learning is a one of the subsets of AI. When a data received in the training set, according to the training dataset to build an algorithmic model based on machine learning concept, it is a specific testable prediction with progressive approach of input and output data that design can be applicable for large dataset in the real-time approach. Support vector machine (SVM) design is in large data applications. In sixties, Russia developed the algorithm based on nonlinear SV which is called generalized portrait algorithm. We evaluate the recognition accuracy of classification of the event using portrait algorithm. The data dependent and data independent show the effectiveness of a support vector machine learning algorithm approach of non-parametric methods to tractable for massive datasets in feature of high dimensional. In this approach, the new set of points, generated to the probability distribution PY((y, f(y))). Y((y. f(y))), represented in the example is a support vector, and the probability distribution controls the marginal value and also corresponding weighted vector value. These weighted vectors belong to the training set but not classified with confidence factor. The active SVM learning based on points and their distance between points and hyperplane and newly enters the confidence factor is known as adaptive factor. The confidence factor value is computed from the availability of information around us by using the principle of the k-nearest neighbor, N dimensional data as a input X in to K dimensional space (feature), then K always greater than N through the mapping function ϕ. SVM algorithm gives both computation efficiency and accuracy in a simple manner. In large date set, we can solve by predictor–corrector method in step by step in this process, the similar dates are combined together and give maximum accuracy and also optimum solution to reduce the training error and test error through probability distribution. Here, SVM gives the efficient idea based for function estimation that covers both dependent and independent data.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Cerri, R., and A. de Carvalho. 2010. New top-down methods using SVMs f or hierarchical multi label classification problems. In IJCNN 2010, 1–8. IEEE Computer Society.

    Google Scholar 

  2. Campbell, C., and Y. Ying. 2011. Learning with Support Vector Machines. Synthesis Lectures on Artificial Intelligence and Machine Learning 5(1): 1–95.

    Google Scholar 

  3. Chen, B., and J. Hu. 2012. Hierarchical multi-label classification based on over-sampling and hierarchy constraint for gene function prediction. IEEE Transactions on Electrical and Electronic Engineering 7: 183–189.

    Google Scholar 

  4. Soudry, Daniel, Elad Hoffer, SuriyaGunasekar MorShpigelNacson, and Nathan Srebro. 2018. The implicit bias of gradient descent on separable data. Journal of Machine Learning Research 19 (1): 2822–2878.

    MathSciNet  Google Scholar 

  5. Hush, Don, Patrick Kelly, Clint Scovel, and Ingo Steinwart. 2006. QP algorithms with guaranteed accuracy and run time for support vector machines. Journal of Machine Learning Research 7: 733–769.

    MathSciNet  MATH  Google Scholar 

  6. García, Fernando Turrado, Luis Javier García Villalba, Javier Portela. 2012. Intelligent system for time series classification using support vector machines applied to supply-chain. Expert Systems with Applications 39: 10590–10599.

    Google Scholar 

  7. Talwar, Kunal. 2020. On the error resistance of hinge-loss minimization. Advances in Neural Information Processing Systems 33: 4223–4234.

    Google Scholar 

  8. Sur, Pragya, and Emmanuel J. Candès. 2019. A modern maximum-likelihood theory for high dimensional logistic regression. Proceedings of the National Academy of Sciences 116 (29): 14516–14525.

    Google Scholar 

  9. Premalatha, M., and C. Vijayalakshmi. 2014. Using optimization methodologies to find the solution of support vector machine with maximum accuracy. Pensee Journal, publication on La Pensee Multidisciplinary Journal, Paris, France, 0031–4773.

    Google Scholar 

  10. Wu, Qi, and Rob Law. 2011. The complex fuzzy system forecasting model based on fuzzy SVM with triangular fuzzy number input and output. Expert Systems with Applications 38: 12085–12093.

    Google Scholar 

  11. Xu, Yitian, Laisheng Wang, and Ping Zhong. 2012. A rough margin-based ν-twin support vector machine. Neural Computing and Applications 21: 1307–1317.

    Google Scholar 

  12. Liu, Yang, and Gareth Pender. 2015. A flood inundation modelling using v-support vector machine regression model. Engineering Applications of Artificial Intelligence 46: 223–231.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Premalatha .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Premalatha, M., Vijayalakshmi, C. (2022). Randomly Selection of Interior Points in SV Learning Algorithm Uses of Confidence Parameter. In: Peng, SL., Lin, CK., Pal, S. (eds) Proceedings of 2nd International Conference on Mathematical Modeling and Computational Science. Advances in Intelligent Systems and Computing, vol 1422. Springer, Singapore. https://doi.org/10.1007/978-981-19-0182-9_29

Download citation

Publish with us

Policies and ethics