This paper analyzes independence concepts for sets of probability measures associated with directed acyclic graphs. The paper shows that epistemic independence and the standard Markov condition violate desirable separation properties. The adoption of a contraction condition leads to d-separation but still fails to guarantee a belief separa­ tion property. To overcome this unsatisfac­ tory situa...

We study the separation property for Cahn-Hilliard type equations with constant mobility and (physically relevant) singular potentials in two dimensions. That is, any solution initial finite energy stays uniformly away from pure phases $ \pm 1 a certain time on. Beyond its physical interest, this plays crucial role to achieve high order Sobolev analytic regularity of solutions analyze their lon...

We consider blind separation of linear mixtures of digital communication signals in noise. When little or nothing can be assumed about the mixing matrix, signal separation may be achieved by exploiting structural properties of the transmitted signals. ILSP and ILSE are two iterative least squares (ILS) separation algorithms that exploit the finite-alphabet property. ILSE is monotonically conver...

We propose a new two-stage blind separation and deconvolution strategy for multiple-input multiple-output (MIMO)-FIR systems driven by colored sound sources, in which single-input multiple-output (SIMO)-model-based ICA (SIMO-ICA) and blind multichannel inverse filtering are combined. SIMO-ICA can separate the mixed signals, not into monaural source signals but into SIMO-model-based signals from...

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