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His seminal research contributions include the celebrated Baum-Welch algorithm that is used to find unknown parameters of a hidden Markov model, and which has found widespread application in many fields including speech processing, cryptanalysis, and bioinformatics; the Berlekamp-Welch algorithm used to efficiently decode Reed-Solomon codes; the McEliece-Rodemich-Rumsey-Welch best asymptotic upper bound on the rate of a binary code; the Welch lower bound on the maximum cross-correlation of signals; and the family of Gordon-Mills-Welch sequences having ideal auto

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The IEEE Journal on Special Areas in Information Theory  JSAIT is a multi-disciplinary journal of special issues focusing on the intersections of information theory with fields such as machine learning, statistics, genomics, neuroscience, theoretical computer science, and physics. Any field that utilizes the fundamentals of information theory, including concepts such as entropy, compression, coding, mutual information, divergence, capacity, and rate distortion theory is a candidate for a JSAIT special issue.