1. A computer-implemented method for analyzing telemetry data from a monitored system, comprising: in one or more computers, performing operations for: obtaining the telemetry data as a set of telemetric signals from the monitored system; grouping the telemetry data into one or more clusters of correlated telemetric signals from the telemetric signals; and increasing a bandwidth associated with monitoring the telemetric signals by: omitting one or more of the correlated telemetric signals from each of the clusters during sampling of the telemetric signals; and estimating the omitted correlated telemetric signals from the sampled telemetric signals.