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The human body is mysterious, consisting of innumerable fine and complex structures and a vast amount of information. The field of modern pathology has been systematized around the findings and observations obtained from light microscopy.…

Medical Physics · Physics 2021-11-29 Satoshi Kume

Rapid advances in high-throughput technologies have led to considerable interest in analyzing genome-scale data in the context of biological pathways, with the goal of identifying functional systems that are involved in a given phenotype.…

Quantitative Methods · Quantitative Biology 2015-06-01 Rosemary Braun , Sahil Shah

Non-standard distributional approximations have received considerable attention in recent years. They often provide more accurate approximations in small samples, and theoretical improvements in some cases. This paper shows that the…

Statistics Theory · Mathematics 2017-12-12 Matias D. Cattaneo , Michael Jansson , Whitney K. Newey

We present a mathematical characterization of hyperbolic gauge pathologies in general relativity and electrodynamics. We show how non-linear gauge terms can produce a blow-up along characteristics and how this can be identified numerically…

General Relativity and Quantum Cosmology · Physics 2010-01-06 Miguel Alcubierre , Joan Masso

We give extensions of results on nonnegative matrix semigroups which deduce finiteness or boundedness of such semigroups from the corresponding local properties, e.g., from finiteness or boundedness of values of certain linear functionals…

Functional Analysis · Mathematics 2013-07-01 Roman Drnovšek , Heydar Radjavi

Various questions on Lie ideals of C*-algebras are investigated. They fall roughly under the following topics: relation of Lie ideals to closed two-sided ideals; Lie ideals spanned by special classes of elements such as commutators,…

Operator Algebras · Mathematics 2015-09-25 Leonel Robert

The purpose of this note is to review some recent results concerning the pseudospectra and the eigenvalues asymptotics of non-selfadjoint semiclassical pseudo-differential operators subject to small random perturbations.

Spectral Theory · Mathematics 2024-10-08 Martin Vogel

We consider the problem of testing for treatment effect heterogeneity in observational studies, and propose a nonparametric test based on multisample U-statistics. To account for potential confounders, we use reweighted data where the…

Methodology · Statistics 2021-03-30 Maozhu Dai , Weining Shen , Hal S. Stern

Recently, the behavior of different epidemic models and their relation both to different types of geometries and to some biological models has been revisited . Path equations representing the behavior of epidemic models and their…

Populations and Evolution · Quantitative Biology 2010-04-19 M. E. Kahil

The established technique of eliminating upper or lower parameters in a general hypergeometric series is profitably exploited to create pathways among confluent hypergeometric functions, binomial functions, Bessel functions, and exponential…

Statistical Mechanics · Physics 2010-10-25 A. M. Mathai , H. J. Haubold , C. Tsallis

Epidemic models often reflect characteristic features of infectious spreading processes by coupled non-linear differential equations considering different states of health (such as Susceptible, Infected, or Recovered). This compartmental…

Physics and Society · Physics 2021-12-01 Vaiva Vasiliauskaite , Nino Antulov-Fantulin , Dirk Helbing

In this work, we developed a network inference method from incomplete data ("PathInf") , as massive and non-uniformly distributed missing values is a common challenge in practical problems. PathInf is a two-stages inference model. In the…

Machine Learning · Statistics 2018-10-02 Xiang Li , Qitian Chen , Xing Wang , Ning Guo , Nan Wu , Quanzheng Li

We prove the existence of manifolds with almost maximal volume entropy which are not hyperbolic.

Differential Geometry · Mathematics 2017-03-01 Viktor Schroeder , Hemangi Shah

Probabilities of causation provide explanatory information on the observed occurrence (causal necessity) and non-occurrence (causal sufficiency) of events. Here, we adapt these probabilities (probability of necessity, probability of…

Quantitative Methods · Quantitative Biology 2025-04-28 Bronner P. Gonçalves

Post-treatment variables often complicate causal inference. They appear in many scientific problems, including noncompliance, truncation by death, mediation, and surrogate endpoint evaluation. Principal stratification is a strategy to…

Methodology · Statistics 2024-04-04 Sizhu Lu , Zhichao Jiang , Peng Ding

In this paper we have introduced the notion of $\mathcal{I}$-density topology in the space of reals introducing the notions of upper $\mathcal{I}$-density and lower $\mathcal{I}$-density where $\mathcal{I}$ is an ideal of subsets of the set…

General Topology · Mathematics 2022-05-09 Amar Kumar Banerjee , Indrajit Debnath

We obtain simple proofs of certain inequalites for bivariate means.

Classical Analysis and ODEs · Mathematics 2011-05-04 Jozsef Sandor

We give a diagrammatic summary of the connections between various theorems and conjectures about the vanishing of the Euler characteristic.

Geometric Topology · Mathematics 2023-09-08 Clara Loeh , George Raptis

An intersection of sets $A = \bigcap_{i \in I}B_i$ is irredundant if no $B_i$ can be omitted from this intersection. We develop a topological approach to irredundance by introducing a notion of a spectral representation, a spectral space…

Commutative Algebra · Mathematics 2015-10-08 Bruce Olberding

We point out a simple characterisation of topological amenability in terms of bounded cohomology, following Johnson's reformulation of amenability.

Group Theory · Mathematics 2012-07-10 Nicolas Monod
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