EM is cast as a relaxation flow whose local dynamics are controlled by the spectrum of the missing-information operator G, from which two new accelerators (G-Accelerator and Geo-Adaptive) are derived and shown to outperform standard EM.
An algorithm for computing the capacity of arbitrary discrete memoryless channels
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K_ε(A) scales as Θ(A √log A) for ε = A^{-β} (β ≥ 1) and between A √log A and A^{3/2} for exponentially small ε, via approximation theory and χ²-divergence control.
The rate-distortion infimum is attained for lower semi-continuous distortions on locally compact Polish alphabets via one-point compactification for bounded distortions and concentration-compactness for unbounded coercive distortions.
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