boxkde nur ein cite dazu...

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toni
2018-09-20 14:40:46 +02:00
parent c6934282d8
commit 25b3d32afe
2 changed files with 31 additions and 39 deletions

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@@ -55,10 +55,9 @@ For our system we choose the Gaussian kernel in favour of computational efficien
The great flexibility of the KDE comes at the cost of a high computational time, which renders it unpractical for real time scenarios.
The complexity of a naive implementation of the KDE is \landau{MN}, given by $M$ evaluations and $N$ particles as input size.
A fast approximation of the KDE can be applied if the data is stored in a equidistant bins.
A fast approximation of the KDE can be applied if the data is stored in equidistant bins as suggested by \cite{silverman1982algorithm}.
Computation of the KDE with a Gaussian kernel on the binned data becomes analogous to applying a Gaussian filter, which can be approximated by iterated box filter in \landau{N} \cite{Bullmann-18}.
Our rapid computation scheme of the KDE is fast enough to estimate the density of the posterior in each time step.
This allows us to recover the most prober state from occurring multimodal posterior.
\todo{Hier ist es mir tatsächlich noch etwas zu dünn. Könnte man nicht noch ein paar essentielle Details über den boxKDE verlieren? Spontan fällt mir zwar nichts ein. Aber der Wunsch ist da.}

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@@ -355,12 +355,11 @@ doi={10.1109/ISWC.1999.806640},}
@inproceedings{meng11,
author={Wei Meng and Wendong Xiao and Wei Ni and Lihua Xie},
booktitle={Indoor Positioning and Indoor Navigation (IPIN), Int. Conf. on},
title={Secure and robust Wi-Fi fingerprinting indoor localization},
title={{Secure and Robust Wi-Fi Fingerprinting Indoor Localization}},
year={2011},
IGNOREmonth={Sept},
pages={1-7},
keywords={fingerprint identification;indoor radio;radio networks;telecommunication security;wireless LAN;K nearest neighbor algorithm;KNN;Wi-Fi wireless networks;access point attacks;distribution estimation;in-building communication infrastructures;indoor positioning;probabilistic fingerprinting localization method;random sample consensus;reference points;robust Wi-Fi fingerprinting indoor localization;secure Wi-Fi fingerprinting indoor localization;weighted-mean method;Accuracy;Distortion measurement;Histograms;IEEE 802.11 Standards;Probabilistic logic;Robustness;Sensors;RANSAC;Wi-Fi;fingerprinting;indoor localization;sensor network;signal strength;wireless network},
doi={10.1109/IPIN.2011.6071908},}
keywords={fingerprint identification;indoor radio;radio networks;telecommunication security;wireless LAN;K nearest neighbor algorithm;KNN;Wi-Fi wireless networks;access point attacks;distribution estimation;in-building communication infrastructures;indoor positioning;probabilistic fingerprinting localization method;random sample consensus;reference points;robust Wi-Fi fingerprinting indoor localization;secure Wi-Fi fingerprinting indoor localization;weighted-mean method;Accuracy;Distortion measurement;Histograms;IEEE 802.11 Standards;Probabilistic logic;Robustness;Sensors;RANSAC;Wi-Fi;fingerprinting;indoor localization;sensor network;signal strength;wireless network}, }
@inproceedings{boonsriwai13,
author={Boonsriwai, S. and Apavatjrut, A.},
@@ -612,12 +611,12 @@ ISSN={0162-8828},}
@article{IntroductionToRadio,
author={Friis, Harald T.},
journal={IEEE Spectrum},
title={Introduction to radio and radio antennas},
title={{Introduction to Radio and Radio Antennas}},
year={1971},
volume={8},
number={4},
pages={55-61},
doi={10.1109/MSPEC.1971.5218045},
IGNOREdoi={10.1109/MSPEC.1971.5218045},
ISSN={0018-9235},
}
@@ -643,7 +642,7 @@ ISSN={0162-8828},}
number={2},
pages={207-217},
keywords={electromagnetic wave absorption;mobile radio systems;radiowave propagation;914 MHz;UHF;building layout;concrete walls;contour plots;floor attenuation factors;floors;indoor wireless communications;multifloored buildings;office partitions;path loss prediction models;radiowave propagation;site-specific models;Concrete;Floors;Loss measurement;Measurement standards;Narrowband;Predictive models;Propagation losses;Radio transmitters;Receivers;Wireless communication},
doi={10.1109/8.127405},
IGNOREdoi={10.1109/8.127405},
ISSN={0018-926X},
}
@@ -895,13 +894,10 @@ ISSN={0162-8828},}
@inproceedings{radar,
author={Bahl, Paramvir and Padmanabhan, Venkata N.},
booktitle={Proc. of the 19th Annu. Joint Conf. of the IEEE Computer and Communications Societies},
title={RADAR: An In-Building RF-based User Location and Tracking System},
title={{RADAR: An In-Building RF-based User Location and Tracking System}},
year={2000},
volume={2},
pages={775-784},
keywords={mobile computing;radio tracking;radiowave propagation;signal processing;wireless LAN;RADAR;RF-based tracking system;in-building tracking system;local-area wireless networks;location-aware systems;mobile computing devices;multiple base stations;overlapping coverage;signal propagation modeling;signal strength processing;user location;Base stations;Computer networks;Global Positioning System;Mobile computing;Radar signal processing;Radar tracking;Radio frequency;Signal processing;Wireless LAN;Wireless networks},
doi={10.1109/INFCOM.2000.832252},
ISSN={0743-166X},
}
% 1000 scans per fingerprint, histogram, interpolation
@@ -919,12 +915,9 @@ ISSN={0162-8828},}
@inproceedings{PropagationModelling,
author={El-Kafrawy, Kareem and Youssef, Moustafa and El-Keyi, Amr and Naguib, Ayman},
booktitle={Vehicular Technology Conf. (VTC)},
title={Propagation Modeling for Accurate Indoor WLAN RSS-Based Localization},
title={{Propagation Modeling for Accurate Indoor WLAN RSS-Based Localization}},
year={2010},
pages={1-5},
keywords={mobility management (mobile radio);ray tracing;wireless LAN;3D ray tracing;RSS-based localization;accurate indoor WLAN;location determination systems;noisy wireless channel;propagation modeling;wall attenuation factor;Accuracy;Attenuation;Materials;Measurement uncertainty;Ray tracing;Solid modeling;Three dimensional displays},
doi={10.1109/VETECF.2010.5594108},
ISSN={1090-3038},
}
@article{ElectromagneticPropagation,
@@ -1179,15 +1172,13 @@ ISSN={0162-8828},}
% probabilistic, parzen, histogram, squared error
@article{ProbabilisticWlan,
author={Roos, Teemu and Myllym\"{a}ki, Petri and Tirri, Henry and Misikangas, Pauli and Siev\"{a}nen, Juha},
title={A Probabilistic Approach to WLAN User Location Estimation},
title={{A Probabilistic Approach to WLAN User Location Estimation}},
journal = {Int. Journal of Wireless Information Networks},
pages = {155--164},
volume={9},
number={3},
IGNOREmonth={7},
year={2002},
doi = {10.1023/a:1016003126882},
keywords = {bayesian, location, probability, wi-fi},
}
% the 2nd great source for indoor localization
@@ -1273,7 +1264,7 @@ ISSN={0162-8828},}
% signal-strength prediction for coverage, furniture impact, raytracing
@article{PredictingRFCoverage,
author={Rajkumar, A. and Naylor, B. F. and Feisullin, F. and Rogers, L.},
title={Predicting RF coverage in large environments using ray-beam tracing and partitioning tree represented geometry},
title={{Predicting RF Coverage in Large Environments using Ray-beam Tracing and Partitioning Tree Represented Geometry}},
journal={Wireless Networks},
issue_date={June 1996},
volume={2},
@@ -1284,7 +1275,7 @@ ISSN={0162-8828},}
pages={143--154},
numpages={12},
REMurl={http://dx.doi.org/10.1007/BF01225637},
doi={10.1007/BF01225637},
IGNOREdoi={10.1007/BF01225637},
acmid={234826},
publisher={Springer-Verlag New York, Inc.},
address={Secaucus, NJ, USA},
@@ -1426,7 +1417,7 @@ ISSN={0162-8828},}
% explains the additional parameter after the path loss model
@article{empiricalPathLossModel,
author = {Erceg, V. and Greenstein, L. J. and Tjandra, S. Y. and Parkoff, S. R. and Gupta, A. and Kulic, B. and Julius, A. A. and Bianchi, R.},
title = {An Empirically Based Path Loss Model for Wireless Channels in Suburban Environments},
title = {{An Empirically Based Path Loss Model for Wireless Channels in Suburban Environments}},
journal = {IEEE Journal on Selected Areas in Communications},
issue_date = {September 2006},
volume = {17},
@@ -1437,7 +1428,7 @@ ISSN={0162-8828},}
pages = {1205--1211},
numpages = {7},
REMurl = {http://dx.doi.org/10.1109/49.778178},
doi = {10.1109/49.778178},
IGNOREdoi = {10.1109/49.778178},
acmid = {2313013},
publisher = {IEEE Press},
address = {Piscataway, NJ, USA},
@@ -1745,8 +1736,7 @@ Indoor Localisation}},
year = {2017},
month = {August},
number = {8},
issn = {2220-9964},
doi = {10.3390/ijgi6080233}
pages={233-250},
}
@book{condon1967handbook,
@@ -2516,10 +2506,7 @@ year = {2003}
@article{Afyouni2012,
abstract = {This paper surveys indoor spatial models developed for research fields ranging from mobile robot mapping, to indoor location-based services (LBS), and most recently to context-aware navigation services applied to indoor environments. Over the past few years, several studies have evaluated the potential of spatial models for robot navigation and ubiquitous computing. In this paper we take a slightly different perspective, considering not only the underlying properties of those spatial models, but also to which degree the notion of context can be taken into account when delivering services in indoor environments. Some preliminary recommendations for the development of indoor spatial models are introduced from a context-aware perspective. A taxonomy of models is then presented and assessed with the aim of providing a flexible spatial data model for navigation purposes, and by taking into account the context dimensions.},
author = {Afyouni, Imad and Ray, Cyril and Claramunt, Christophe},
doi = {10.5311/JOSIS.2012.4.73},
file = {:home/toni/.local/share/data/Mendeley Ltd./Mendeley Desktop/Downloaded/Afyouni, Ray, Claramunt - 2012 - Spatial models for context-aware indoor navigation systems A survey.pdf:pdf},
issn = {1948-660X},
journal = {Journal of Spatial Information Science},
keywords = {context-awareness,indoor spatial data models,location-dependent queries,navigation systems and wayfinding,qualitative spatial representation,quantitative spatial representation},
@@ -2527,20 +2514,15 @@ language = {en},
IGNOREmonth = {Jun},
number = {4},
pages = {85--123},
title = {{Spatial models for context-aware indoor navigation systems: A survey}},
title = {{Spatial Models for Context-Aware Indoor Navigation Systems: A Survey}},
volume = {1},
year = {2012}
}
@inproceedings{Hilsenbeck2014,
abstract = {We propose a graph-based, low-complexity sensor fusion approach for ubiquitous pedestrian indoor positioning using mobile devices. We employ our fusion technique to combine relative motion information based on step detection with WiFi signal strength measurements. The method is based on the well-known particle filter methodology. In contrast to previous work, we provide a probabilistic model for location estimation that is formulated directly on a fully discretized, graph-based representation of the indoor environment. We generate this graph by adaptive quantization of the indoor space, removing irrelevant degrees of freedom from the estimation problem. We evaluate the proposed method in two realistic indoor environments using real data collected from smartphones. In total, our dataset spans about 20 kilometers in distance walked and includes 13 users and four different mobile device types. Our results demonstrate that the filter requires an order of magnitude less particles than state-of-the-art approaches while maintaining an accuracy of a few meters. The proposed low-complexity solution not only enables indoor positioning on less powerful mobile devices, but also saves much-needed resources for location-based end-user applications which run on top of a localization service.},
address = {New York, NY, USA},
author = {Hilsenbeck, Sebastian and Bobkov, Dmytro and Schroth, Georg and Huitl, Robert and Steinbach, Eckehard},
booktitle = {Proc. of the 2014 ACM Int. Joint Conf. on Pervasive and Ubiquitous Computing - UbiComp '14 Adjunct},
doi = {10.1145/2632048.2636079},
file = {:home/toni/Documents/literatur/fusion16/Graph-based Data Fusion of Pedometer and WiFi Measurements for Mobile Indoor Positioning.pdf:pdf},
isbn = {9781450329682},
keywords = {Graph-based Sensor Fusion,Indoor Navigation,Indoor Positioning,Location-based Services,Mobile Computing,Particle Filter,Ubiquitous Localization},
IGNOREmonth = {sep},
pages = {147--158},
publisher = {ACM Press},
@@ -2796,8 +2778,7 @@ year = {2015}
@article{Sun2013,
author = {Sun, S. and Li, T. and Sattar, T.P.},
doi = {10.1049/el.2013.0233},
file = {:home/toni/.local/share/data/Mendeley Ltd./Mendeley Desktop/Downloaded/Sun, Li, Sattar - 2013 - Adapting sample size in particle filters through KLD-resampling.pdf:pdf},
IGNOREdoi = {10.1049/el.2013.0233},
isbn = {1350-911X},
issn = {0013-5194},
journal = {Electronics Letters},
@@ -2903,7 +2884,7 @@ address = {{Rothenburg, Germany}},
}
@article{farid2013recent,
title={Recent advances in wireless indoor localization techniques and system},
title={{Recent Advances in Wireless Indoor Localization Techniques and System}},
author={Farid, Zahid and Nordin, Rosdiadee and Ismail, Mahamod},
journal={Journal of Computer Networks and Communications},
volume={2013},
@@ -2936,14 +2917,26 @@ address = {{Rothenburg, Germany}},
@ARTICLE{Kirkpatrick83optimizationby,
author = {S. Kirkpatrick and C. D. Gelatt and M. P. Vecchi},
title = {Optimization by simulated annealing},
journal = {SCIENCE},
title = {{Optimization by Simulated Annealing}},
journal = {Science},
year = {1983},
volume = {220},
number = {4598},
pages = {671--680}
}
@article{silverman1982algorithm,
title={{Algorithm AS 176: Kernel Density Estimation using the Fast Fourier Transform}},
author={Silverman, BW},
journal={Journal of the Royal Statistical Society. Series C (Applied Statistics)},
volume={31},
number={1},
pages={93--99},
year={1982},
publisher={JSTOR}
}
@misc{Wemos,
title = {{WEMOS Electronics}},
note = {\url{https://www.wemos.cc/}, Accessed: 2018-03-22},