Before revision:  method we are able to leverage proof techniques of SGD and establish a global convergence theory and rates of convergence for SNR . As a special case, our theory also provides a new global convergence theory for the original Newton-Raphson method under strictly weaker assumptions as compared to what is commonly used for global convergence .
After revision:  method , and then leveraging proof techniques of SGD and establish a global convergence theory and rates of convergence for SNR . As a special case, our theory also provides a new global convergence theory for the original Newton-Raphson method under strictly weaker assumptions as compared to what is commonly used for global convergence .