Analysis of mutual information for informative forecasting using mobile sensors
This paper presents several analysis of mutual information that is often used to define the objective function for trajectory planning (and scheduling) of sensor networks, when the goal is to improve the forecast accuracy of some quantities of interest. The approach extends the present author's...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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Institute of Electrical and Electronics Engineers
2011
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| Online Access: | http://hdl.handle.net/1721.1/65860 https://orcid.org/0000-0001-8576-1930 |
| _version_ | 1811070580338720768 |
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| author | Choi, Han-Lim How, Jonathan P. |
| author2 | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics |
| author_facet | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Choi, Han-Lim How, Jonathan P. |
| author_sort | Choi, Han-Lim |
| collection | MIT |
| description | This paper presents several analysis of mutual information that is often used to define the objective function for trajectory planning (and scheduling) of sensor networks, when the goal is to improve the forecast accuracy of some quantities of interest. The approach extends the present author's prior work in order to consider more general notion of verification entities and to enable more robust decision with potential uncertainty in the mission specifications. The expression of mutual information for windowed forecasting, in which the verification entities are defined by a finite time window instead of a single time instance, is derived and quantified without adding significant computational cost. It is also demonstrated that the sensitivity of mutual information to the variation of verification time can be calculated in the same process of computing the mutual information. Simple numerical examples are presented for preliminary validation of the applicability of the proposed analysis. |
| first_indexed | 2024-09-23T08:38:18Z |
| format | Article |
| id | mit-1721.1/65860 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:38:18Z |
| publishDate | 2011 |
| publisher | Institute of Electrical and Electronics Engineers |
| record_format | dspace |
| spelling | mit-1721.1/658602022-09-30T10:08:22Z Analysis of mutual information for informative forecasting using mobile sensors Choi, Han-Lim How, Jonathan P. Massachusetts Institute of Technology. Department of Aeronautics and Astronautics How, Jonathan P. How, Jonathan P. This paper presents several analysis of mutual information that is often used to define the objective function for trajectory planning (and scheduling) of sensor networks, when the goal is to improve the forecast accuracy of some quantities of interest. The approach extends the present author's prior work in order to consider more general notion of verification entities and to enable more robust decision with potential uncertainty in the mission specifications. The expression of mutual information for windowed forecasting, in which the verification entities are defined by a finite time window instead of a single time instance, is derived and quantified without adding significant computational cost. It is also demonstrated that the sensitivity of mutual information to the variation of verification time can be calculated in the same process of computing the mutual information. Simple numerical examples are presented for preliminary validation of the applicability of the proposed analysis. 2011-09-15T20:51:43Z 2011-09-15T20:51:43Z 2010-12 Article http://purl.org/eprint/type/ConferencePaper 978-1-4244-7814-9 INSPEC Accession Number: 11805809 http://hdl.handle.net/1721.1/65860 Choi, Han-Lim, and Jonathan P. How. “Analysis of Mutual Information for Informative Forecasting Using Mobile Sensors.” 2010 11th International Conference on Control Automation Robotics & Vision. Singapore, Singapore, 2010. 1245-1250. Copyright © 2010, IEEE https://orcid.org/0000-0001-8576-1930 en_US http://dx.doi.org/10.1109/ICARCV.2010.5707788 International Conference on Control, Automation, Robotics and Vision (11th : 2010) Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Institute of Electrical and Electronics Engineers IEEE |
| spellingShingle | Choi, Han-Lim How, Jonathan P. Analysis of mutual information for informative forecasting using mobile sensors |
| title | Analysis of mutual information for informative forecasting using mobile sensors |
| title_full | Analysis of mutual information for informative forecasting using mobile sensors |
| title_fullStr | Analysis of mutual information for informative forecasting using mobile sensors |
| title_full_unstemmed | Analysis of mutual information for informative forecasting using mobile sensors |
| title_short | Analysis of mutual information for informative forecasting using mobile sensors |
| title_sort | analysis of mutual information for informative forecasting using mobile sensors |
| url | http://hdl.handle.net/1721.1/65860 https://orcid.org/0000-0001-8576-1930 |
| work_keys_str_mv | AT choihanlim analysisofmutualinformationforinformativeforecastingusingmobilesensors AT howjonathanp analysisofmutualinformationforinformativeforecastingusingmobilesensors |