Hearing in noisy environments is a perceptual problem that is ubiquitous in modern industrialized societies. This particular listening context offers a particular challenge to individuals living with hearing impairment (30 million in US alone) even after treatment with hearing aids or cochlear implants. The ability of the brain to extract regularities from the environment and suppress distracting information can be improved with intensive cognitive training. The investigators will test whether the hearing in noise abilities of adults living with hearing impairment can be improved with a cognitive training paradigm.