Results 61 to 70 of about 8,255 (178)
Random Structures &Algorithms, Volume 67, Issue 4, December 2025.ABSTRACT A finite group G$$ G $$ is mixable if a product of random elements, each chosen independently from two options, can distribute uniformly on G$$ G $$. We present conditions and obstructions to mixability. We show that 2‐groups, the symmetric groups, the simple alternating groups, several matrix and sporadic simple groups, and most finite ...
Gideon Amir +3 more
wiley +1 more source
Point Information Gain and Multidimensional Data Analysis
, 2016 We generalize the Point information gain (PIG) and derived quantities, i.e. Point information entropy (PIE) and Point information entropy density (PIED), for the case of R\'enyi entropy and simulate the behavior of PIG for typical distributions.
Císař, Petr +6 more
core +2 more sources
Random Structures &Algorithms, Volume 67, Issue 4, December 2025.ABSTRACT Motivated by the study of random temporal networks, we introduce a class of random trees that we coin uniform temporal trees. A uniform temporal tree is obtained by assigning independent uniform [0,1]$$ \left[0,1\right] $$ labels to the edges of a rooted complete infinite n$$ n $$‐ary tree and keeping only those vertices for which the path ...
Caelan Atamanchuk +2 more
wiley +1 more source
Central Limit Theorems for global and local empirical measures of diffusions on Erdős-Rényi graphs [PDF]
, 2023 Fabio Coppini +2 more
openalex +1 more source
Perspectives of Earth and Space Scientists, Volume 6, Issue 1, December 2025.Abstract Although the concept of thermodynamic entropy due to Clausius dates back to the early 1850s, the mathematical theory of informational entropy was not developed until the pioneering work of Shannon in 1948, the development of principle of maximum entropy (POME) and theorem of concentration by Jaynes in 1957, principle of minimum cross entropy ...
Vijay P. Singh
wiley +1 more source
Arctangent Zubair‐G Family of Distributions: Properties and Applications to Biomedical Data
Engineering Reports, Volume 7, Issue 11, November 2025.The Zubair‐G family provides a simple yet effective approach to introduce an extra parameter to extend current distributions. In this study, we proposed a modified version, termed the AZ‐G family of distributions. We examined its fundamental statistical properties and estimated the model parameters using various estimation techniques.
Mohammed Elgarhy +5 more
wiley +1 more source
Estimates on the decay of the Laplace–Pólya integral
Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3360-3379, November 2025.Abstract The Laplace–Pólya integral, defined by Jn(r)=1π∫−∞∞sincntcos(rt)dt$J_n(r) = \frac{1}{\pi }\int _{-\infty }^\infty \operatorname{sinc}^n t \cos (rt) \,\mathrm{d}t$, appears in several areas of mathematics. We study this quantity by combinatorial methods; accordingly, our investigation focuses on the values at integer rs$r{\rm s}$.
Gergely Ambrus, Barnabás Gárgyán
wiley +1 more source
On a theorem of A. and C. Rényi and a conjecture of C. C. Yang concerning periodicity of entire functions [PDF]
, 2022 Zinelaâbidine Latreuch +1 more
openalex +1 more source
Communications on Pure and Applied Mathematics, Volume 78, Issue 10, Page 2001-2118, October 2025.Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta +2 more
wiley +1 more source
Federated Learning With Differential Privacy Based on Summary Statistics
Engineering Reports, Volume 7, Issue 10, October 2025.As society progresses, the significance of data becomes increasingly prominent, and simultaneously, the privacy preserving of data is gaining more attention. We apply the Functional mechanism to federated learning and extend their method to (ϵ,δ)$$ \left(\epsilon, \delta \right) $$‐DP by adding Gaussian noise to the coefficient vector of polynomial ...
Peng Zhang, Pingqing Liu
wiley +1 more source