Results 61 to 70 of about 4,515 (154)

Hypothesis Testing Interpretations and Renyi Differential Privacy [PDF]

, 2019
Differential privacy is a de facto standard in data privacy, with applications in the public and private sectors. A way to explain differential privacy, which is particularly appealing to statistician and social scientists is by means of its statistical ...
Balle, Borja, Barthe, Gilles, Gaboardi, Marco, Hsu, Justin, Sato, Tetsuya   +4 more
core  

Simulation of a Channel with Another Channel

, 2016
In this paper, we study the problem of simulating a DMC channel from another DMC channel under an average-case and an exact model. We present several achievability and infeasibility results, with tight characterizations in special cases.
Aref, Mohammad Reza, Beigi, Salman, Gohari, Amin, Haddadpour, Farzin, Yassaee, Mohammad Hossein   +4 more
core   +1 more source

Groups with conjugacy classes of coprime sizes

Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract Suppose that x$x$, y$y$ are elements of a finite group G$G$ lying in conjugacy classes of coprime sizes. We prove that ⟨xG⟩∩⟨yG⟩$\langle x^G \rangle \cap \langle y^G \rangle$ is an abelian normal subgroup of G$G$ and, as a consequence, that if x$x$ and y$y$ are π$\pi$‐regular elements for some set of primes π$\pi$, then xGyG$x^G y^G$ is a π ...
R. D. Camina, A. Maróti, E. Pacifici, C. Parker, K. Rekvényi, J. Saunders, V. Sotomayor, G. Tracey, M. van Beek   +8 more
wiley   +1 more source

Assessing the Mixing Quality of Hetero‐Aggregates: Applying Mixing Theory to STEM‐EDX Elemental Maps

Particle &Particle Systems Characterization, Volume 43, Issue 2, February 2026.
This study introduces a quantitative method to assess the mixing quality of carbon black‐silica hetero‐aggregates formed in spray flames. Using STEM‐EDX mapping and concepts from mixing theory, the approach characterizes intra‐ and inter‐aggregate homogeneity and particle clustering, enabling precise, composition‐independent evaluation of hetero ...
Simon Buchheiser, Orkun Furat, Volker Schmidt, Hermann Nirschl, Frank Rhein   +4 more
wiley   +1 more source

Analyzing the Free States of one Quantum Resource Theory as Resource States of Another

Advanced Quantum Technologies, Volume 9, Issue 2, February 2026.
The article investigates how free states in one quantum resource theory can become highly resourceful in another. It systematically studies multipartite entanglement, fermionic non‐Gaussianity, imaginarity, realness, spin coherence, Clifford non‐stabilizerness, Sn‐equivariance, and non‐uniform entanglement, combining rigorous analytical tools and ...
Andrew E. Deneris, Paolo Braccia, Pablo Bermejo, N. L. Diaz, Antonio A. Mele, M. Cerezo   +5 more
wiley   +1 more source

Boosting complex evidence theory with complex belief Renyi divergence for multi-source information fusion

Journal of King Saud University: Computer and Information Sciences
Complex evidence theory (CET) plays a critical role in addressing uncertainty within the complex domain. However, accurately measuring conflicts between complex mass functions (CMFs) remains a challenge.
Yuhao Qin, Jinguo Zhang, Zhike Qiu, Zichong Chen, Rui Cai   +4 more
doaj   +1 more source

How Host Phylogeny and Diet Shape the Specificity and Specificity Diversity of Animal Gut Microbiomes

Environmental Microbiology Reports, Volume 18, Issue 1, February 2026.
By identifying unique/enriched microbial species across taxa and diet types in 318 animal species with our SSD (specificity and specificity diversity) framework, we demonstrated that host phylogeny and diet are joint drivers of microbial specificity compositional heterogeneity, potentially linking the macroecological pattern of phylosymbiosis with the ...
Zhanshan (Sam) Ma
wiley   +1 more source

A measure of mutual divergence among a number of probability distributions

International Journal of Mathematics and Mathematical Sciences, 1987
The principle of optimality of dynamic programming is used to prove three major inequalities due to Shannon, Renyi and Holder. The inequalities are then used to obtain some useful results in information theory.
J. N. Kapur, Vinod Kumar, Uma Kumar
doaj   +1 more source

Conditional Rényi Divergence Saddlepoint and the Maximization of α-Mutual Information

Entropy, 2019
Rényi-type generalizations of entropy, relative entropy and mutual information have found numerous applications throughout information theory and beyond. While there is consensus that the ways A.
Changxiao Cai, Sergio Verdú
doaj   +1 more source

A Robust Solution to Variational Importance Sampling of Minimum Variance

Entropy, 2020
Importance sampling is a Monte Carlo method where samples are obtained from an alternative proposal distribution. This can be used to focus the sampling process in the relevant parts of space, thus reducing the variance. Selecting the proposal that leads
Jerónimo Hernández-González, Jesús Cerquides   +1 more
doaj   +1 more source