Results 41 to 50 of about 1,046 (132)
An active contour model for texture image segmentation using Rényi divergence measure
This paper proposes an efficient method for active unsupervised texture segmentation. A new descriptor for texture features extractions based on Gaussian and mean curvature is constructed.
Sidi Yassine Idrissi
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Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies
Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil +6 more
wiley +1 more source
ABSTRACT Systems of interacting trajectories were recently studied in Hermann et al. (2025). Such a system of [0,1]$$ \left[0,1\right] $$‐valued piecewise linear trajectories arises as a scaling limit of the system of logarithmic subpopulation sizes in a population‐genetic model (more precisely, a Moran model) with mutation and selection. By definition,
Katalin Friedl +2 more
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On Metric Choice in Dimension Reduction for Fréchet Regression
Summary Fréchet regression is becoming a mainstay in modern data analysis for analysing non‐traditional data types belonging to general metric spaces. This novel regression method is especially useful in the analysis of complex health data such as continuous monitoring and imaging data.
Abdul‐Nasah Soale +3 more
wiley +1 more source
The number of regular simplices in higher dimensions
Abstract We study the extremal function Sdk(n)$S^k_d(n)$, defined as the maximum number of regular (k−1)$(k-1)$‐simplices spanned by n$n$ points in Rd$\mathbb {R}^d$. For any fixed d⩾2k⩾6$d\geqslant 2k\geqslant 6$, we determine the asymptotic behavior of Sdk(n)$S^k_d(n)$ up to a lower‐order term.
Felix Christian Clemen +2 more
wiley +1 more source
Finding an almost perfect matching in a hypergraph avoiding forbidden submatchings
Abstract In 1973, Erdős conjectured the existence of high girth (n,3,2)$(n,3,2)$‐Steiner systems. Recently, Glock, Kühn, Lo, and Osthus and independently Bohman and Warnke proved the approximate version of Erdős' conjecture. Recently, Kwan, Sah, Sawhney, and Simkin proved Erdős' conjecture.
Michelle Delcourt, Luke Postle
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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 +4 more
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Complexity Analysis of Bubble Plumes in Power Law Fluids Based on Chaos Theory
ABSTRACT In order to reveal the complexity of the internal flow of bubble plume in power law fluid, the flow characteristics and chaotic characteristics of plume are studied by experiment and theory. The chaotic characteristic parameters (correlation dimension D, K entropy, and Lyapunov exponent λ) of gas velocity under different superficial gas ...
Xin Dong +6 more
wiley +1 more source
A measure of mutual divergence among a number of probability distributions
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
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Conditional Rényi Divergence Saddlepoint and the Maximization of α-Mutual Information
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
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