Statistical Tests and Confidential Intervals as Thresholds for Quantum Neural Networks
This work addresses quantum neural network design for theoretical physics applications, but it appears incremental as it builds directly on prior work without new breakthroughs.
The authors analyzed and constructed several quantum neural network variants, including LS-QNN, PI-QNN, PR-QNN, and chi-squared QNN, using solutions or statistical tests as thresholds for training rules, but no concrete results or numbers were reported.
Some basic quantum neural networks were analyzed and constructed in the recent work of the author \cite{dndiep3}, published in International Journal of Theoretical Physics (2020). In particular the Least Quare Problem (LSP) and the Linear Regression Problem (LRP) was discussed. In this second paper we continue to analyze and construct the least square quantum neural network (LS-QNN), the polynomial interpolation quantum neural network (PI-QNN), the polynomial regression quantum neural network (PR-QNN) and chi-squared quantum neural network ($χ^2$-QNN). We use the corresponding solution or tests as the threshold for the corresponding training rules.