Various embodiments of the present invention provide systems and methods for data processing. For example, data processing systems are disclosed that include a data decoding system. The data decoding system includes a data decoder circuit and a simplified maximum likelihood value modification circuit. The data decoder circuit is operable to apply a data decode algorithm to a decoder input to yield a first decoded output and an indication of at least one point of failure of the first decoded output. The simplified maximum likelihood value modification circuit is operable to identify a symbol of the first decoded output associated with the point of failure, and to modify a subset of values associated with the identified symbol to yield a modified decoded output.