Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Performance of Compressive Parameter Estimation via K-Median Clustering   Compressive sensing (CS) has attracted significant attention in parameter
estimation tasks, where parametric dictionaries (PDs) collect signal
observations for a sampling of the parameter space and yield sparse
representations for signals of interest when the sampling is dense. While this
sampling also leads to high dictionary coherence, one can leverage structured
sparsity models to prevent highly coherent dictionary elements from appearing
simultaneously in the recovered signal. However, the resulting approaches
depend heavily on the careful setting of the maximum allowable coherence;
furthermore, their guarantees are not concerned with general parameter
estimation performance. We propose the use of earth mover's distance (EMD), as
applied to a pair of true and estimated PD coefficient vectors, to measure the
parameter estimation error. We formally analyze the connection between the EMD
and the parameter estimation error and show that the EMD provides a
better-suited metric for parameter estimation performance than the Euclidean
distance. Additionally, we analyze the previously described relationship
between K-median clustering and EMD-optimal sparse approximation and leverage
it to develop improved PD-based parameter estimation algorithms. Finally, our
numerical experiments verify our theoretical results and show that the proposed
compressive parameter estimation algorithms have improved performance over
existing approaches.

23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ