Probabilistic Modelling of Signal Mixtures with Differentiable Dictionaries

Gerhard Widmer; Luk\'a\v{s} Samuel Mart\'ak; Rainer Kelz

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Probabilistic Modelling of Signal Mixtures with Differentiable Dictionaries

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arxiv 2211.15439 v1 pith:T6IY74KR submitted 2022-11-28 eess.AS cs.LGcs.SD

Probabilistic Modelling of Signal Mixtures with Differentiable Dictionaries

Luk\'a\v{s} Samuel Mart\'ak , Rainer Kelz , Gerhard Widmer This is my paper

classification eess.AS cs.LGcs.SD

keywords modellingdifferentiablehighlymixturesaudiobehaviorcallcapabilities

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We introduce a novel way to incorporate prior information into (semi-) supervised non-negative matrix factorization, which we call differentiable dictionary search. It enables general, highly flexible and principled modelling of mixtures where non-linear sources are linearly mixed. We study its behavior on an audio decomposition task, and conduct an extensive, highly controlled study of its modelling capabilities.

Probabilistic Modelling of Signal Mixtures with Differentiable Dictionaries

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