further small changes
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@@ -80,13 +80,14 @@ The estimated parameters can be refined using additional walks.
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Within this work we present a similar optimization approach for estimating the AP's location in 3D.
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However, instead of taking multiple measuring walks, the locations are optimized based only on some reference measurements, further decreasing the setup-time.
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Additionally, we will show that such an optimization scheme can partly compensate for the above abolished intersection-tests.
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\commentByToni{Die Quelle aus den Reviews. Wir können auch Kontinuierlich. Der hat das Problem das er entweder überall gewesen sein muss, oder interpolieren.}
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%immpf
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Besides well chosen probabilistic models, the system's performance is also highly affected by handling problems which are based on the nature of \add{a} particle filter.
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They are often caused by restrictive assumptions about the dynamic system, like seen from the aforementioned problem of sample impoverishment.
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The authors of \cite{Sun2013} handled the problem by using an adaptive number of particles instead of a fixed one.
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The key idea is to choose a small number of samples if the distribution is focused on a small part of the state space and a large number of particles if the distribution is much more spread out and requires a higher diversity of samples.
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The problem of sample impoverishment is then addressed by adapting the number of particles dependent upon the system's current uncertainty \cite{Fetzer-17}.
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The problem of sample impoverishment is then addressed by adapting the number of particles dependent upon the system's current uncertainty.
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%\commentByFrank{ich glaube encountered ist das falsche wort. du willst doch auf 'es wird gefixed' raus, oder? addressed? mitigated?}
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In practice, sample impoverishment is often a problem of environmental restrictions and system dynamics.
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@@ -98,8 +99,8 @@ Thus, a much simpler, but heuristic method is presented within this paper.
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%estimation
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Finally, as the name recursive state estimation says, it requires to find the most probable state within the state space, to provide the "best estimate" of the underlying problem.
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In the discrete manner of a particle representation this is often done by providing a single value, also known as sample statistic, to serve as a best guess \cite{Bullmann-18}.
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Examples are the weighted-average over all particles or the particle with the highest weight.
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In the discrete manner of a particle representation this is often done by providing a single value, also known as sample statistic, to serve as a best guess \cite{bar2004estimation}.
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Examples are the weighted-average over all particles or the particle with the highest weight \cite{blanco2009phd}.
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However, in complex scenarios like a multimodal representation of the posterior, such methods fail to provide an accurate statement about the most probable state.
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Thus, in \cite{Bullmann-18} we present a \del{rapid computation} \add{approximation} scheme of kernel density estimates (KDE).
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Recovering the probability density function using an efficient KDE algorithm yields a promising approach to solve the state estimation problem in a more profound way.
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