Memory systems, controllers, decoders and methods execute decoding with a mufti-level interference correction scheme. A decoder performs first soft decoding to generate log likelihood ratio (LLR) values of a select bit and bits of memory cells neighboring a memory cell of the select bit. A quantizer obtains an estimated LLR value of the select bit based on the LLR values of the select bit and the bits of the memory cells neighboring the memory cell of the select bit, when the first soft decoding fails. The decoder performs second soft decoding using the estimated LLR value when the first soft decoding fails, and performs third soft decoding using information obtained from application of a deep learning model to provide a more accurate estimate of the LLR value of the select bit when the second soft decoding fails.