Forward with a statistical model for modelling Neural Networks

Forward with a statistical model for modelling Neural Networks

Authors

  • Ankit Sharma

Abstract

Even though neural networks are extensively employed in a wide range of applications, they are still regarded as black boxes and pose certain challenges in terms of dimensioning and measuring their prediction inaccuracy. This has sparked increased interest in the overlapping region between neural networks and more classic statistical approaches, which can aid in overcoming such issues. In this article, a mathematical framework linking neural networks and polynomial regression is investigated by employing a Taylor expansion technique to construct an explicit expression for the coefficients of a polynomial regression from the weights of a particular neural network. This is accomplished in regression issues using single hidden layer neural networks.

Author Biography

Ankit Sharma

Singu, S., & Tunguturi, M. (2015). Fundamentals and awareness of robotics. Transactions on Latest Trends in Health Sector, 7(7). Retrieved from https://www.ijsdcs.com/index.php/TLHS/article/view/191

Tunguturi, M. (2017). Extremely Low strength design for Water Purification. Transactions on Latest Trends in Health Sector, 9(9). Retrieved from https://www.ijsdcs.com/index.php/TLHS/article/view/190

Tunguturi, M., & Singu, S. (2012). The growth of Bigdata in Information Technology. Transactions on Latest Trends in Health Sector, 4(4). Retrieved from https://www.ijsdcs.com/index.php/TLHS/article/view/189

Tunguturi, M. (2010). Artificial intelligence and machine learning in the enterprise. Transactions on Latest Trends in Health Sector, 2(2). Retrieved from https://www.ijsdcs.com/index.php/TLHS/article/view/187

Tunguturi, M. (2018). Avoid Road Accident Using IoT. Transactions on Latest Trends in IoT, 1(1), 31-40. Retrieved from https://www.ijsdcs.com/index.php/TLIoT/article/view/167

Singu, S. (2018). Blockchain based answer for comfortable Audit logs. Transactions on Latest Trends in IoT, 1(1), 21-30. Retrieved from https://www.ijsdcs.com/index.php/TLIoT/article/view/166

Tunguturi, M., & Singu, S. (2016). Automation of human behaviors and its prediction . International Journal of Statistical Computation and Simulation, 8(1). Retrieved from https://journals.threws.com/index.php/IJSCS/article/view/53

Singu, S., & Tunguturi, M. (2014). More on Neural community and fuzzy device. International Journal of Statistical Computation and Simulation, 6(1), 1–10. Retrieved from https://journals.threws.com/index.php/IJSCS/article/view/50

Singu, S., & Tunguturi, M. (2013). Fundamental standards and uses of big data analytics. International Journal of Statistical Computation and Simulation, 5(1). Retrieved from https://journals.threws.com/index.php/IJSCS/article/view/47

Tunguturi, M. (2018). American & Indian Comics on Instagram using Machine learning. International Journal of Statistical Computation and Simulation, 10(1). Retrieved from https://journals.threws.com/index.php/IJSCS/article/view/60

Tunguturi, M. (2011). More on Big data to the world. International Journal of Statistical Computation and Simulation, 3(1), 1–10. Retrieved from https://journals.threws.com/index.php/IJSCS/article/view/45

Tunguturi, M. (2009). More On Principles and Applications of Big Data Analytics. International Journal of Statistical Computation and Simulation, 1(1), 1–10. Retrieved from https://journals.threws.com/index.php/IJSCS/article/view/43

Tunguturi, M., & Singu, S. (2015). Latest machine learning applications across the globe. Transaction on Recent Devlopment in Industrial IoT, 7(7). Retrieved from https://journals.threws.com/index.php/TRDAIoT/article/view/64

Tunguturi, M., & Singu, S. (2014). Latest machine learning applications across the globe. Transaction on Recent Devlopment in Industrial IoT, 6(6). Retrieved from https://journals.threws.com/index.php/TRDAIoT/article/view/63

Singu, S., & Tunguturi, M. (2016). Smart agriculture utility the use of fog-iot. Transaction on Recent Devlopment in Artificial Intellgence and Machine Learning, 8(8). Retrieved from https://journals.threws.com/index.php/TRDAIML/article/view/67

Singu, S. (2019). A new method on provider Description support Customization . Transaction on Recent Devlopment in Artificial Intellgence and Machine Learning, 11(11). Retrieved from https://journals.threws.com/index.php/TRDAIML/article/view/68

Tunguturi, M. (2019). Comparative Analysis of Balancing Techniques in Cloud Computing. International Journal of Managment Education for Sustainable Development, 2(2), 41-50. Retrieved from https://www.ijsdcs.com/index.php/IJMESD/article/view/171

Singu, S. (2019). Trends of Text Mining Techniques used in Social Media Websites. International Journal of Managment Education for Sustainable Development, 2(2), 51-60. Retrieved from https://www.ijsdcs.com/index.php/IJMESD/article/view/172

Singu, S. (2017). A robust technique for image processing. Transactions on Latest Trends in Health Sector, 9(9). Retrieved from https://www.ijsdcs.com/index.php/TLHS/article/view/193

Singu, S., & Tunguturi, M. (2017). Protect Personal Privacy And Wasting Time Using AI and ML. Transaction on Recent Devlopment in Artificial Intellgence and Machine Learning, 9(9). Retrieved from https://journals.threws.com/index.php/TRDAIML/article/view/72

Whig, P., & Ahmad, S. N. (2012a). A CMOS integrated CC-ISFET device for water quality monitoring. International Journal of Computer Science Issues, 9(4), 1694–1814.

Whig, P., & Ahmad, S. N. (2012f). Performance analysis of various readout circuits for monitoring quality of water using analog integrated circuits. International Journal of Intelligent Systems and Applications, 4(11), 103.

Whig, P., & Ahmad, S. N. (2013a). A novel pseudo-PMOS integrated ISFET device for water quality monitoring. Active and Passive Electronic Components, 2013.

Whig, P., & Ahmad, S. N. (2014a). Development of economical ASIC for PCS for water quality monitoring. Journal of Circuits, Systems and Computers, 23(06), 1450079.

Whig, P., & Ahmad, S. N. (2014c). Simulation of linear dynamic macro model of photo catalytic sensor in SPICE. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering.

References

Singu, S., & Tunguturi, M. (2015). Fundamentals and awareness of robotics. Transactions on Latest Trends in Health Sector, 7(7). Retrieved from https://www.ijsdcs.com/index.php/TLHS/article/view/191

Tunguturi, M. (2017). Extremely Low strength design for Water Purification. Transactions on Latest Trends in Health Sector, 9(9). Retrieved from https://www.ijsdcs.com/index.php/TLHS/article/view/190

Tunguturi, M., & Singu, S. (2012). The growth of Bigdata in Information Technology. Transactions on Latest Trends in Health Sector, 4(4). Retrieved from https://www.ijsdcs.com/index.php/TLHS/article/view/189

Tunguturi, M. (2010). Artificial intelligence and machine learning in the enterprise. Transactions on Latest Trends in Health Sector, 2(2). Retrieved from https://www.ijsdcs.com/index.php/TLHS/article/view/187

Tunguturi, M. (2018). Avoid Road Accident Using IoT. Transactions on Latest Trends in IoT, 1(1), 31-40. Retrieved from https://www.ijsdcs.com/index.php/TLIoT/article/view/167

Singu, S. (2018). Blockchain based answer for comfortable Audit logs. Transactions on Latest Trends in IoT, 1(1), 21-30. Retrieved from https://www.ijsdcs.com/index.php/TLIoT/article/view/166

Tunguturi, M., & Singu, S. (2016). Automation of human behaviors and its prediction . International Journal of Statistical Computation and Simulation, 8(1). Retrieved from https://journals.threws.com/index.php/IJSCS/article/view/53

Singu, S., & Tunguturi, M. (2014). More on Neural community and fuzzy device. International Journal of Statistical Computation and Simulation, 6(1), 1–10. Retrieved from https://journals.threws.com/index.php/IJSCS/article/view/50

Singu, S., & Tunguturi, M. (2013). Fundamental standards and uses of big data analytics. International Journal of Statistical Computation and Simulation, 5(1). Retrieved from https://journals.threws.com/index.php/IJSCS/article/view/47

Tunguturi, M. (2018). American & Indian Comics on Instagram using Machine learning. International Journal of Statistical Computation and Simulation, 10(1). Retrieved from https://journals.threws.com/index.php/IJSCS/article/view/60

Tunguturi, M. (2011). More on Big data to the world. International Journal of Statistical Computation and Simulation, 3(1), 1–10. Retrieved from https://journals.threws.com/index.php/IJSCS/article/view/45

Tunguturi, M. (2009). More On Principles and Applications of Big Data Analytics. International Journal of Statistical Computation and Simulation, 1(1), 1–10. Retrieved from https://journals.threws.com/index.php/IJSCS/article/view/43

Tunguturi, M., & Singu, S. (2015). Latest machine learning applications across the globe. Transaction on Recent Devlopment in Industrial IoT, 7(7). Retrieved from https://journals.threws.com/index.php/TRDAIoT/article/view/64

Tunguturi, M., & Singu, S. (2014). Latest machine learning applications across the globe. Transaction on Recent Devlopment in Industrial IoT, 6(6). Retrieved from https://journals.threws.com/index.php/TRDAIoT/article/view/63

Singu, S., & Tunguturi, M. (2016). Smart agriculture utility the use of fog-iot. Transaction on Recent Devlopment in Artificial Intellgence and Machine Learning, 8(8). Retrieved from https://journals.threws.com/index.php/TRDAIML/article/view/67

Singu, S. (2019). A new method on provider Description support Customization . Transaction on Recent Devlopment in Artificial Intellgence and Machine Learning, 11(11). Retrieved from https://journals.threws.com/index.php/TRDAIML/article/view/68

Tunguturi, M. (2019). Comparative Analysis of Balancing Techniques in Cloud Computing. International Journal of Managment Education for Sustainable Development, 2(2), 41-50. Retrieved from https://www.ijsdcs.com/index.php/IJMESD/article/view/171

Singu, S. (2019). Trends of Text Mining Techniques used in Social Media Websites. International Journal of Managment Education for Sustainable Development, 2(2), 51-60. Retrieved from https://www.ijsdcs.com/index.php/IJMESD/article/view/172

Singu, S. (2017). A robust technique for image processing. Transactions on Latest Trends in Health Sector, 9(9). Retrieved from https://www.ijsdcs.com/index.php/TLHS/article/view/193

Singu, S., & Tunguturi, M. (2017). Protect Personal Privacy And Wasting Time Using AI and ML. Transaction on Recent Devlopment in Artificial Intellgence and Machine Learning, 9(9). Retrieved from https://journals.threws.com/index.php/TRDAIML/article/view/72

Whig, P., & Ahmad, S. N. (2012a). A CMOS integrated CC-ISFET device for water quality monitoring. International Journal of Computer Science Issues, 9(4), 1694–1814.

Whig, P., & Ahmad, S. N. (2012f). Performance analysis of various readout circuits for monitoring quality of water using analog integrated circuits. International Journal of Intelligent Systems and Applications, 4(11), 103.

Whig, P., & Ahmad, S. N. (2013a). A novel pseudo-PMOS integrated ISFET device for water quality monitoring. Active and Passive Electronic Components, 2013.

Whig, P., & Ahmad, S. N. (2014a). Development of economical ASIC for PCS for water quality monitoring. Journal of Circuits, Systems and Computers, 23(06), 1450079.

Whig, P., & Ahmad, S. N. (2014c). Simulation of linear dynamic macro model of photo catalytic sensor in SPICE. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering.

Published

2019-08-19

How to Cite

Sharma, A. (2019). Forward with a statistical model for modelling Neural Networks. International Scientific Journal for Research, 1(1). Retrieved from https://isjr.co.in/index.php/ISJR/article/view/17

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