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Universität Augsburg
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Universität Augsburg
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Professor Dr. George Manis
University of Ioannina, Greece
spricht am
Donnerstag, 1. Februar 2024
um
10:00 Uhr
im
Raum 3008 (L1)
über das Thema:
| Abstract: |
| Entropy analysis is a powerful tool in various areas of signal interpretation. In particular, significant applications of entropy can be found in many biomedical engineering fields, including cardiovascular and neurosensorial signal analysis, cancer research, sleep disorders and gait analysis. Bubble Entropy is a recently proposed definition of entropy. Having certain advantages over more popular definitions, Bubble Entropy finds its place in the research community map. It belongs to the family of entropy estimators which embed the signal into an m-dimensional space and estimate entropy on the trajectory in this space. Two are the main drawbacks for which those methods are criticized: the high computational cost and the dependence on parameters. Bubble Entropy can be an answer to both, since computation can be done in linear time and the dependence on parameters can be considered as minimal or even zero. The most widely used entropy definitions today mainly rely on two parameters: the size of the embedding space m and the threshold distance r, with r referring to the distance between two points in the m-dimensional space. Bubble Entropy totally eliminates the necessity to define a threshold distance or to estimate the size of the embedding space. What makes the latter possible is the feasibility to compute Bubble entropy for all reasonable values of m, even for those corresponding to high-dimensional spaces. It is noteworthy, that no other popular entropy definition is meaningful in very large dimensional spaces, even though different information can be hidden and more complex phenomena can be expressed there. Bubble Entropy also exhibits remarkable discriminating power, outperforming in many cases the common entropy definitions. In this talk, the presented experimental results compare congestive heart failure patients and controls. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Gernot Müller |