Results 41 to 50 of about 8,255 (178)

Two Measures of Dependence

open access: yes, 2019
Two families of dependence measures between random variables are introduced. They are based on the R\'enyi divergence of order $\alpha$ and the relative $\alpha$-entropy, respectively, and both dependence measures reduce to Shannon's mutual information ...
Lapidoth, Amos, Pfister, Christoph
core   +1 more source

Robust estimation of a Markov chain transition matrix from multiple sample paths

open access: yesStatistica Neerlandica, Volume 80, Issue 1, February 2026.
Markov chains are fundamental models for stochastic dynamics, with applications in a wide range of areas such as population dynamics, queueing systems, reinforcement learning, and Monte Carlo methods. Estimating the transition matrix and stationary distribution from observed sample paths is a core statistical challenge, particularly when multiple ...
Lasse Leskelä, Maximilien Dreveton
wiley   +1 more source

Topology of random simplicial complexes: a survey

open access: yes, 2013
This expository article is based on a lecture from the Stanford Symposium on Algebraic Topology: Application and New Directions, held in honor of Gunnar Carlsson, Ralph Cohen, and Ib Madsen.Comment: After revisions, now 21 pages, 5 ...
Kahle, Matthew
core   +1 more source

Topologically Protected Negative Entanglement

open access: yesAdvanced Science, Volume 13, Issue 3, 14 January 2026.
It is revealed that topological flat‐band edge states can lead to robust unconventional negative entanglement entropy scaling. This arises from a new mechanism of non‐Hermitian critical skin compression (nHCSC), which strongly “compresses” quantum information beyond flat‐band degeneracy.
Wen‐Tan Xue, Ching Hua Lee
wiley   +1 more source

Mathematical Modeling of Amoxicillin Synthesis in Batch and Semi‐Batch Reactor: Application of Bayesian Statistics and Genetic Algorithm

open access: yesBiotechnology and Bioengineering, Volume 123, Issue 1, Page 104-115, January 2026.
Synthesis of amoxicillin: The reaction catalyzed by penicillin G acylase is investigated in an enzymatic reactor, considering both Michaelis–Menten and mechanism‐based models with reaction and equilibrium constants. Parameters are estimated via MCMC and Genetic Algorithm, with MCMC showing superior performance in validating the mathematical model in a ...
Lucas Figueiredo Formigosa   +5 more
wiley   +1 more source

Scalable Hash-Based Estimation of Divergence Measures

open access: yes, 2018
We propose a scalable divergence estimation method based on hashing. Consider two continuous random variables $X$ and $Y$ whose densities have bounded support.
Hero III, Alfred O., Noshad, Morteza
core   +1 more source

A Survey of SIR‐Based Differential Epidemic Models for Control and Security Against Malware Propagation in Computer Networks

open access: yesSECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley   +1 more source

On Nonlinear Compression Costs: When Shannon Meets Rényi

open access: yesIEEE Access
In compression problems, the minimum average codeword length is achieved by Shannon entropy, and efficient coding schemes such as Arithmetic Coding (AC) achieve optimal compression.
Andrea Somazzi   +2 more
doaj   +1 more source

The random graph process is globally synchronizing

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract The homogeneous Kuramoto model on a graph G=(V,E)$G = (V,E)$ is a network of |V|$|V|$ identical oscillators, one at each vertex, where every oscillator is coupled bidirectionally (with unit strength) to its neighbors in the graph. A graph G$G$ is said to be globally synchronizing if, for almost every initial condition, the homogeneous Kuramoto
Vishesh Jain   +2 more
wiley   +1 more source

Delocalization and Limiting Spectral Distribution of Erd\H{o}s-R\'{e}nyi Graphs with Constant Expected Degree

open access: yes, 2018
We consider Erd\H{o}s-R\'{e}nyi graphs $G(n,p_n)$ with large constant expected degree $\lambda$ and $p_n=\lambda/n$. Bordenave and Lelarge (2010) showed that the infinite-volume limit, in the Benjamini-Schramm topology, is a Galton-Watson tree with ...
Jung, Paul, Lee, Jaehun
core   +1 more source

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