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Sampling, Metric Entropy, and Dimensionality Reduction [PDF]
SIAM Journal on Mathematical Analysis, 2015 Let $Q$ be a relatively compact subset in a Hilbert space $V$. For a given $\e>0$ let $N(\e,Q)$ be the minimal number of linear measurements, sufficient to reconstruct any $x \in Q$ with the accuracy $\e$. We call $N(\e,Q)$ a sampling $\e$-entropy of $Q$.
Dmitry Batenkov +2 more
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Comparative study of approximate entropy and sample entropy robustness to spikes [PDF]
Artificial Intelligence in Medicine, 2011 There is an ongoing research effort devoted to characterize the signal regularity metrics approximate entropy (ApEn) and sample entropy (SampEn) in order to better interpret their results in the context of biomedical signal analysis. Along with this line, this paper addresses the influence of abnormal spikes (impulses) on ApEn and SampEn measurements.A
Antonio Molina-Picó +5 more
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Non Linear Heart Rate Variability Study During Pregnancy in Indian Women [PDF]
Journal of Clinical and Diagnostic Research, 2018 Introduction: Adaptation of Autonomic Nervous System (ANS) in pregnancy can be suitably assessed by Heart Rate Variability (HRV). Non linear methods of HRV better quantify the chaotic dynamics of HRV.
Manish Sawane +2 more
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Voluntary Respiration Control: Signature Analysis by EEG
IEEE Transactions on Neural Systems and Rehabilitation Engineering, 2023 The perception of voluntary respiratory consciousness is quite important in some situations, such as respiratory assistance and respiratory rehabilitation training, and the key signatures about voluntary respiration control may lie in the neural signals ...
Yue Wang +8 more
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Entropy in Investigation of Vasovagal Syndrome in Passive Head Up Tilt Test
Entropy, 2017 This paper presents an application of Approximate Entropy (ApEn) and Sample Entropy (SampEn) in the analysis of heart rhythm, blood pressure and stroke volume for the diagnosis of vasovagal syndrome.
Katarzyna Buszko +3 more
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Free and classical entropy over the circle. [PDF]
, 2007 Relative entropy with respect to normalized arclength measure on the circle is greater than or equal to the negative logarithmic energy (Voiculescu's negative free entropy) and is greater than or equal to the modified relative free entropy.
Blower, Gordon
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Computing Entropies with Nested Sampling [PDF]
Entropy, 2017 The Shannon entropy, and related quantities such as mutual information, can be used to quantify uncertainty and relevance. However, in practice, it can be difficult to compute these quantities for arbitrary probability distributions, particularly if the probability mass functions or densities cannot be evaluated.
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The Entropy of Progressively Censored Samples [PDF]
Entropy, 2011 In many life-testing and reliability studies, the experimenter might not always obtain complete information on failure times for all experimental units. Among the different censoring schemes, the progressive censoring scheme has received a considerable attention in the last few years.
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Microgravity Spherical Droplet Evaporation and Entropy Effects
, 2023 Recent efforts to understand low-temperature combustion (LTC) in internal combustion engines highlight the need to improve chemical kinetic mechanisms involved in the negative temperature coefficient (aka cool flame) regime.
Depcik, Christopher
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