Physical Sciences and Mathematics Commons^™

Entropyexplorer: An R Package For Computing And Comparing Differential Shannon Entropy, Kai Wang, Charles A. Philips, Arnold M. Saxton, Michael A. Langston

Department of Computer Science Faculty Publications

Background: Differential Shannon entropy (DSE) and differential coefficient of variation (DCV) are effective metrics for the study of gene expression data. They can serve to augment differential expression (DE), and be applied in numerous settings whenever one seeks to measure differences in variability rather than mere differences in magnitude. A general purpose, easily accessible tool for DSE and DCV would help make these two metrics available to data scientists. Automated p value computations would additionally be useful, and are often easier to interpret than raw test statistic values alone.

Results: EntropyExplorer is an R package for calculating DSE, DCV and …

Yinyang Bipolar Quantum Geometry And Bipolar Quantum Superposition Part I—A Background Independent Geometrical And Logical Exposition Of Dirac 3-Polarizer Experiment, Wen-Ran Zhang, Francesco Marchetti

Department of Computer Science Faculty Publications

Bipolar quantum agent (BQA), bipolar quantum geometry (BQG) and bipolar dynamic logic (BDL) are introduced based on bipolar complementarity – a logical extension to Niels Bohr’s particle-wave YinYang duality principle. Complete geometrical background independence is proposed and BQG is proven completely background independent which leads to the notion of bipolar quantum superposition – an equilibrium-based logical approach to superposition. It is shown that the logical linearity of BDL can be unified with the physical nonlinearity of bipolar dynamic equilibrium. It is proven that a single polarized photon as a BQA can be logically channeled through the three polarizers in Dirac’s …

Yinyang Bipolar Quantum Geometry And Bipolar Quantum Superposition Part Ii—Toward An Equilibrium-Based Analytical Paradigm Of Quantum Mechanics And Quantum Biology, Wen-Ran Zhang, Francesco Marchetti

Department of Computer Science Faculty Publications

In Part I of this paper, YinYang bipolar quantum agent (BQA), bipolar quantum geometry (BQG) and 2-dimensional generic bipolar quantum superposition are introduced with a geometrical and logical exposition of Dirac 3-polarizer experiment. While the exposition qualifies BQG as a geometry of light, it is shown in this paper that the logical exposition can be extended to an analytical paradigm of quantum mechanics and quantum biology. It is shown that BQG as the geometry of light is also the geometry of Nature with a logical unification of matter and antimatter atoms into a bipolar quantum cellular automaton (BQCA) through multidimensional …

Isomorphism And Similarity For 2-Generation Pedigrees, Haitao Jiang, Guohui Lin, Weitian Tong, Daming Zhu, Binhai Zhu

Department of Computer Science Faculty Publications

We consider the emerging problem of comparing the similarity between (unlabeled) pedigrees. More specifically, we focus on the simplest pedigrees, namely, the 2-generation pedigrees. We show that the isomorphism testing for two 2-generation pedigrees is GI-hard. If the 2-generation pedigrees are monogamous (i.e., each individual at level-1 can mate with exactly one partner) then the isomorphism testing problem can be solved in polynomial time. We then consider the problem by relaxing it into an NP-complete decomposition problem which can be formulated as the Minimum Common Integer Pair Partition (MCIPP) problem, which we show to be FPT by exploiting a property …