7,095 research outputs found
A Bayesian Network View on Acoustic Model-Based Techniques for Robust Speech Recognition
This article provides a unifying Bayesian network view on various approaches
for acoustic model adaptation, missing feature, and uncertainty decoding that
are well-known in the literature of robust automatic speech recognition. The
representatives of these classes can often be deduced from a Bayesian network
that extends the conventional hidden Markov models used in speech recognition.
These extensions, in turn, can in many cases be motivated from an underlying
observation model that relates clean and distorted feature vectors. By
converting the observation models into a Bayesian network representation, we
formulate the corresponding compensation rules leading to a unified view on
known derivations as well as to new formulations for certain approaches. The
generic Bayesian perspective provided in this contribution thus highlights
structural differences and similarities between the analyzed approaches
A Unified Framework for Sparse Non-Negative Least Squares using Multiplicative Updates and the Non-Negative Matrix Factorization Problem
We study the sparse non-negative least squares (S-NNLS) problem. S-NNLS
occurs naturally in a wide variety of applications where an unknown,
non-negative quantity must be recovered from linear measurements. We present a
unified framework for S-NNLS based on a rectified power exponential scale
mixture prior on the sparse codes. We show that the proposed framework
encompasses a large class of S-NNLS algorithms and provide a computationally
efficient inference procedure based on multiplicative update rules. Such update
rules are convenient for solving large sets of S-NNLS problems simultaneously,
which is required in contexts like sparse non-negative matrix factorization
(S-NMF). We provide theoretical justification for the proposed approach by
showing that the local minima of the objective function being optimized are
sparse and the S-NNLS algorithms presented are guaranteed to converge to a set
of stationary points of the objective function. We then extend our framework to
S-NMF, showing that our framework leads to many well known S-NMF algorithms
under specific choices of prior and providing a guarantee that a popular
subclass of the proposed algorithms converges to a set of stationary points of
the objective function. Finally, we study the performance of the proposed
approaches on synthetic and real-world data.Comment: To appear in Signal Processin
Optimal Simultaneous Detection and Signal and Noise Power Estimation
Simultaneous detection and estimation is important in many engineering
applications. In particular, there are many applications where it is important
to perform signal detection and Signal-to-Noise-Ratio (SNR) estimation jointly.
Application of existing frameworks in the literature that handle simultaneous
detection and estimation is not straightforward for this class of application.
This paper therefore aims at bridging the gap between an existing framework,
specifically the work by Middleton et al., and the mentioned application class
by presenting a jointly optimal detector and signal and noise power estimators.
The detector and estimators are given for the Gaussian observation model with
appropriate conjugate priors on the signal and noise power. Simulation results
affirm the superior performance of the optimal solution compared to the
separate detection and estimation approaches.Comment: appears in 2014 IEEE International Symposium on Information Theory
(ISIT
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