Joy A. Thomas’s research while affiliated with Palo Alto University and other places

... Following the organization of gene clusters, hypergeometric tests were performed for each cluster to test for enrichment of DE genes. An information theory approach [39] was adopted to infer gene expression networks within select clusters using the minet software package for R [40]. Mutual information (MI) measures the information content that two variables share: a numerical value ranging from 0 to 1 depending on, intuitively, how much knowing one variable would predict variability of the other. ...

Reference:

Progesterone Effects on Extracellular Vesicles in the Sheep Uterus

... The goal of authentication is now to decide whether this empirical probability is more likely to be P b (ω) or Q b (ω) and provide bounds on this decision [13]. ...

Reference:

Provable Performance Guarantees of Copy Detection Patterns

... Finally, we estimated the temporal complexity of the brain for the whole spectrum of frequencies (1-45 Hz) by means of Lempel-Ziv Complexity (LZC) (Lempel and Ziv, 1976). This measure is based on Kolmogorov complexity and calculates the minimal "information" contained in a sequence (Cover and Thomas, 2006;Schartner et al., 2015). To analyze LZC continuous sequences, such as the EEG signal, it needs to be discretized; in this work we employed the binarization by mean-value (Zozor et al., 2005). ...

Reference:

Electroencephalographic signatures of dogs with presumptive diagnosis of canine cognitive dysfunction

... Our general problem here is coding of integers universally, meaning that the encoder and decode don"t have any knowledge of source statistic and probability distribution on integers that are supposed source alphabet so they don"t get any usage of it, (Davisson, 1973) and (Andreasen, 2001). It is supposed that the information source is discrete, stationary and without memory. ...

Reference:

AN EFFICIENT SECURE UNIVERSAL BLOCK SOURCE CODING ALGORITHM FOR INTEGERS

... The theoretical fundamentals of human mobility and the background associated with the study of regularity and predictability of human mobility are introduced below. The notations, definitions, and formulas follow those presented in [54] and [2] where entropy rate has been used to quantify the extent to which an individual's travel patterns are regular and predictable. ...

Reference:

An entropy-based approach to the study of human mobility and behavior in private homes

... Rate-distortion theory [25,26,27] aids in a deeper understanding in the trade off and balance between the regularization and reconstruction losses. The general rate distortion problem is formulated before making these connections. ...

Reference:

Disentangling Generative Factors of Physical Fields Using Variational Autoencoders

... Evidently, as shown in Eq. (3), the system model of uplink MDMA is similar to that of the uplink power domain NOMA (PD-NOMA) in terms of form. Hence, it can be easily proved that the uplink MDMA system can achieve the limit of the achievable capacity region of the MA channel (Cover and Thomas, 2001) as the PD-NOMA scheme does (Wu et al., 2018). ...

Reference:

Model division multiple access for semantic communications面向语义通信的模分多址技术

... To evaluate the performance of the clustering algorithm, the Adjusted Rand Index (ARI) (Halkidi, Batistakis, and Vazirgiannis 2002) and Normalized Mutual Information (NMI) (Cover and Thomas 1991) are used. ARI measures the similarity between two clustering results, ranging from -0.5 to 1, with 1 indicating perfect agreement. ...

Reference:

Spectral Bridges

... This article presents EnDED, which implements four approaches, and their combination, to indicate environmentally driven (indirect) associations in microbial networks. The four methods are sign pattern [23], overlap (developed here), interaction information [23,37], and data processing inequality [27,38]. SP requires an association score that represents co-occurrence when it is positive, and mutual exclusion when it is negative. ...

Reference:

Disentangling environmental effects in microbial association networks

... This PDF corresponds to the isotropic wave of maximum entropy for a fixed value of the intensity. 17 Instead of P ⌫ 0 , let us consider a reference PDF P 0 , which is still isotropic but minimizes the Kullback relative entropy K͑P a ʈ P 0 ͒. In other words, let us consider the following degree of anisotropy: ...

Reference:

Kullback relative entropy and characterization of partially polarized optical waves