1. A non-transitory computer-readable media having computer-executable instructions embodied thereon that, when executed by a processor, cause a method of characterizing sleep architecture to be performed, the method comprising: acquiring a first set of sleep-related information for a target user via one or more sensors located in proximity to the target user; receiving a second set of sleep-related information associated with a reference population and including a range for largest Lyapunov exponent (LLE) values associated with the reference population; based on the first set of sleep-related information, determining a set of timeseries; based on the set of timeseries, determining an LLE value for each timeseries in the set of timeseries, thereby generating a set of LLE values; performing a comparison of the set of LLE values to a threshold to determine whether the target user is statistically different than the reference population based on the range for the LLE values associated with the reference population; based on the comparison determining that the target user is not statistically different than the reference population, designating the target user as associated with the reference population; and causing notification to be provided via an interface to a caregiver that the target user is associated with the reference population.