Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shape Distributions of Nonlinear Dynamical Systems for Video-based
  Inference   This paper presents a shape-theoretic framework for dynamical analysis of
nonlinear dynamical systems which appear frequently in several video-based
inference tasks. Traditional approaches to dynamical modeling have included
linear and nonlinear methods with their respective drawbacks. A novel approach
we propose is the use of descriptors of the shape of the dynamical attractor as
a feature representation of nature of dynamics. The proposed framework has two
main advantages over traditional approaches: a) representation of the dynamical
system is derived directly from the observational data, without any inherent
assumptions, and b) the proposed features show stability under different
time-series lengths where traditional dynamical invariants fail. We illustrate
our idea using nonlinear dynamical models such as Lorenz and Rossler systems,
where our feature representations (shape distribution) support our hypothesis
that the local shape of the reconstructed phase space can be used as a
discriminative feature. Our experimental analyses on these models also indicate
that the proposed framework show stability for different time-series lengths,
which is useful when the available number of samples are small/variable. The
specific applications of interest in this paper are: 1) activity recognition
using motion capture and RGBD sensors, 2) activity quality assessment for
applications in stroke rehabilitation, and 3) dynamical scene classification.
We provide experimental validation through action and gesture recognition
experiments on motion capture and Kinect datasets. In all these scenarios, we
show experimental evidence of the favorable properties of the proposed
representation.

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The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th