1. A method implemented in a vectored system for improving a signal-to-noise ratio (SNR) of a far end transmitted signal on a victim line in the system, comprising: mitigating, by the vectored system, self-induced far-end crosstalk (self-FEXT) on the victim line based on self-FEXT mitigation coefficients; receiving, by a second sensor, information relating to a noise source comprising at least one of: self-FEXT of the vectored system, external noise, and the far end transmitted signal, wherein the second sensor is configured to receive the information relating to the noise source exclusive of any useful signals in the system; learning, at the second sensor, coefficients relating to self-FEXT coupling into the second sensor; removing self-FEXT from the second sensor based on the learned coefficients; upon removal of self-FEXT from the second sensor, learning a linear combiner configured to combine information relating to the victim line and the noise source; applying the learned linear combiner; and readjusting the self-FEXT mitigation coefficients to remove any residual self-FEXT on the victim line after application of the learned linear combiner.