Positive factor networks: A graphical framework for modeling non-negative sequential data

Details Positive factor networks: A graphical framework for modeling non-negative sequential data Positive factor networks: A graphical framework for modeling non-negative sequential data

2008-07-25

arxiv.org/abs/0807.4198v2

Computer Science

Learning

Minor editing of the abstract, introduction, and concluding sections to improve readability and remove redundant wording, base

Scientific paper

We present a novel graphical framework for modeling non-negative sequential data with hierarchical structure. Our model corresponds to a network of coupled non-negative matrix factorization (NMF) modules, which we refer to as a positive factor network (PFN). The data model is linear, subject to non-negativity constraints, so that observation data consisting of an additive combination of individually representable observations is also representable by the network. This is a desirable property for modeling problems in computational auditory scene analysis, since distinct sound sources in the environment are often well-modeled as combining additively in the corresponding magnitude spectrogram. We propose inference and learning algorithms that leverage existing NMF algorithms and that are straightforward to implement. We present a target tracking example and provide results for synthetic observation data which serve to illustrate the interesting properties of PFNs and motivate their potential usefulness in applications such as music transcription, source separation, and speech recognition. We show how a target process characterized by a hierarchical state transition model can be represented as a PFN. Our results illustrate that a PFN which is defined in terms of a single target observation can then be used to effectively track the states of multiple simultaneous targets. Our results show that the quality of the inferred target states degrades gradually as the observation noise is increased. We also present results for an example in which meaningful hierarchical features are extracted from a spectrogram. Such a hierarchical representation could be useful for music transcription and source separation applications. We also propose a network for language modeling.

Affiliated with

Also associated with

No associations

Rating

Positive factor networks: A graphical framework for modeling non-negative sequential data does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Positive factor networks: A graphical framework for modeling non-negative sequential data, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Positive factor networks: A graphical framework for modeling non-negative sequential data will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-314361