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Leveraging Deep Learning Techniques for the Stability Principles of Current Artificial Neural Networks Are Emerging Into Their Activation Functions

Dr. CH Narasimha Chary Mocharla Ramesh Babu More Sadanandam S Krishna Reddy

Subject area: Science,Engineering and Technology  ·  Area of research: Deep Learning

Abstract

Continuous-time recurrent neural network stability issues have been thoroughly researched. This paper aims to present a thorough analysis of the literature on the stability of continuous-time recurrent neural networks, encompassing models such as Cohen-Grasberg[1] and Hopfield neural networks. The stability results of recurrent neural networks with various classes of time delays are thoroughly examined, as time delays are an inherent part of real-world applications. The findings of dealing with the constant/variable delay in recurrent neural networks for the case of delay-dependent stability are compiled. Different forms, including algebraic inequality forms, -matrix forms, and linear forms, are produced by the relationship between stability. It is addressed and compared with Lyapunov diagonal stability forms and matrix inequality[2] forms. Additionally covered are certain adequate and essential stability requirements for recurrent neural networks in the absence of time delays. Finally, some thoughts are shared on the stability analysis of recurrent neural networks going forward.

Keywords

Balance points, continuous neural networks, monotonic conduct and fixed point hypothesis.

References

[1] J. Cao and L. Liang, “Boundedness and stability for Cohen-Grossberg neural network with time-varying delays,’’ J. Math. Ahal. Appl., vol. 296, no. 2, pp. 665-685, Aug. 2004.

[2] J. Cao, H. Li, and L. Han, “Novel results concerning global robust stability of delayed neural networks, “Nonlinear Anal., Real world Appl., vol. 7, no. 3, pp. 458-469, Jul. 2006.

[3] J. Cao, D. Huang and Y. Qu, “Global robust stability of delayed recurrent neural networks, “Chaos, Solitions Fractals, vol. 23, no. 1, pp. 221-229, Jan. 2005.

[4] A. Bouzerdoum and T. R. Pattison, “Neural network for quadratic optimization with bound constraints, “IEEE Trans. Neural Netw, vol. 4, no. 2, pp. 293-304, Mar. 1993.

[5] V. Capasso and A. Di Liddo, “Asymptotic behavior of reaction-diffusion systems in population and epidemic models. The role of cross diffusion,’’ J. Math. Biol., vol. 32, no. 5, pp. 453-463, Jan. 1994

[6] CH, N. C., Chintha, S., Rajendra, E., & Srinivas, S. Generalized Flow Performance Analysis of Intrusion Detection using Azure Machine Learning Classification..", International Journal of Innovative Science and Research Technology,ISSN No:-2456-2165, pp. 5-10 ,Volume 8, Issue 6, June – 2023.

[7] CH, N. C., Navya, B., Chintha, S., & Nagu, K. Big Data in Healthcare Systems and Research., International Journal of Innovative Science and Research Technology, ISSN No:-2456-2165, Volume 8, Issue 6, pp.1-4, June 2023.

[8] VIJAYAJYOTHI, C., & SRINIVAS, D. Abnormal Activity Recognition in Private Places Using Deep Learning..", International Journal of Computer Techniques -– Volume 10 Issue 2, pp. 1-11, August 2023, ISSN :2394-2231.

[9] R. Shobarani, R. Sharmila, M. N. Kathiravan, A. A. Pandian, C. Narasimha Chary and K. Vigneshwaran, "Melanoma Malignancy Prognosis Using Deep Transfer Learning," 2023 International Conference on Artificial Intelligence and Applications (ICAIA) Alliance Technology Conference (ATCON-1), Bangalore, India, 2023, pp. 1-6,doi: 10.1109/ICAIA57370.2023.10169528..

[10] Ch, Dr. Narasimha Chary,." Comprehensive Study On Multi-Operator Base Stations Cell Binary And Multi-Class Models Using Azure Machine Learning”," A Journal Of Composition Theory 14.6 (2021).Volume 14, Issue 6, Pp. 1-11,2021, Issn:0731-6755.

[11] Ch, D. (2021). Narasimha Chary,”. Comprehensive Study On Multi-Operator Base Stations Cell Binary And Multi-Class Models Using Azure Machine Learning”," A Journal Of Composition Theory, 14(6).

[12] Chary, C. N., Krishna, A., Abhishek, N., & Singh, R. P. (2018). An Efficient Survey on various Data Mining Classification Algorithms in Bioinformatics. International Journal of Engineering and Techniques, 4.

How to cite this paper

Dr. CH Narasimha Chary, Mocharla Ramesh Babu, More Sadanandam, S Krishna Reddy "Leveraging Deep Learning Techniques for the Stability Principles of Current Artificial Neural Networks Are Emerging Into Their Activation Functions" Iconic Research And Engineering Journals Volume 7 Issue 5 2023 Page 244-247
Dr. CH Narasimha Chary, Mocharla Ramesh Babu, More Sadanandam, S Krishna Reddy "Leveraging Deep Learning Techniques for the Stability Principles of Current Artificial Neural Networks Are Emerging Into Their Activation Functions" Iconic Research And Engineering Journals, vol. 7, no. 5, Nov. 2023
Dr. CH Narasimha Chary, Mocharla Ramesh Babu, More Sadanandam, S Krishna Reddy (2023). Leveraging Deep Learning Techniques for the Stability Principles of Current Artificial Neural Networks Are Emerging Into Their Activation Functions. Iconic Research And Engineering Journals, 7(5).
Dr. CH Narasimha Chary, Mocharla Ramesh Babu, More Sadanandam, S Krishna Reddy "Leveraging Deep Learning Techniques for the Stability Principles of Current Artificial Neural Networks Are Emerging Into Their Activation Functions" Iconic Research And Engineering Journals, vol. 7, no. 5, Nov. 2023.
@article{1705256,
      author = {Dr. CH Narasimha Chary, Mocharla Ramesh Babu, More Sadanandam, S Krishna Reddy},
      title = {Leveraging Deep Learning Techniques for the Stability Principles of Current Artificial Neural Networks Are Emerging Into Their Activation Functions},
      journal = {Iconic Research And Engineering Journals},
      year = {2023},
      volume = {7},
      number = {5},
      pages = {244-247},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1705256.pdf},
      abstract = {Continuous-time recurrent neural network stability issues have been thoroughly researched. This paper aims to present a thorough analysis of the literature on the stability of continuous-time recurrent neural networks, encompassing models such as Cohen-Grasberg[1] and Hopfield neural networks. The stability results of recurrent neural networks with various classes of time delays are thoroughly examined, as time delays are an inherent part of real-world applications. The findings of dealing with the constant/variable delay in recurrent neural networks for the case of delay-dependent stability are compiled. Different forms, including algebraic inequality forms, -matrix forms, and linear forms, are produced by the relationship between stability. It is addressed and compared with Lyapunov diagonal stability forms and matrix inequality[2] forms. Additionally covered are certain adequate and essential stability requirements for recurrent neural networks in the absence of time delays. Finally, some thoughts are shared on the stability analysis of recurrent neural networks going forward.},
      keywords = {Balance points, continuous neural networks, monotonic conduct and fixed point hypothesis.},
      month = {November},
  }