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The focal-loss has become a widely used alternative to cross-entropy in class-imbalanced classification problems, particularly in computer vision. Despite its empirical success, a systematic information-theoretic study of the focal-loss…

Information Theory · Computer Science 2026-03-04 Jaimin Shah , Martina Cardone , Alex Dytso

In this letter, we determine the $\kappa$-distribution function for a gas in the presence of an external field of force described by a potential U(${\bf r}$). In the case of a dilute gas, we show that the $\kappa$-power law distribution…

Astrophysics · Physics 2009-11-13 J. M. Silva , R. Silva , J. A. S. Lima

A new unitarization approach is discussed and applied to study the elastic $\pi K$ scattering process. The existence of the light $\kappa$ resonance is firmly established if the scattering length in the I=1/2 channel does not deviate too…

High Energy Physics - Phenomenology · Physics 2009-11-10 H. Q. Zheng , Z. Y. Zhou , G. Y. Qin , Z. G. Xiao

Subordinated processes play an important role in modeling anomalous diffusion-type behavior. In such models the observed constant time periods are described by the subordinator distribution. Therefore, on the basis of the observed time…

Mathematical Physics · Physics 2011-10-14 Joanna Janczura , Agnieszka Wyłomańska

The multi-user diversity in spectrum sharing cognitive radio systems with average power constraints over fading channels is investigated. Average power constraints are imposed for both the transmit power at the secondary transmitter and the…

Information Theory · Computer Science 2013-12-14 Fotis Foukalas , Tamer Khattab , H. Vincent Poor

The Ensemble Kalman filter is a sophisticated and powerful data assimilation method for filtering high dimensional problems arising in fluid mechanics and geophysical sciences. This Monte Carlo method can be interpreted as a mean-field…

Probability · Mathematics 2016-10-04 Pierre Del Moral , Julian Tugaut

We introduce a Cascaded Diffusion Model (Cas-DM) that improves a Denoising Diffusion Probabilistic Model (DDPM) by effectively incorporating additional metric functions in training. Metric functions such as the LPIPS loss have been proven…

Computer Vision and Pattern Recognition · Computer Science 2024-01-05 Jie An , Zhengyuan Yang , Jianfeng Wang , Linjie Li , Zicheng Liu , Lijuan Wang , Jiebo Luo

Many common clustering methods cannot be used for clustering multivariate longitudinal data in cases where variables exhibit high autocorrelations. In this article, a copula kernel mixture model (CKMM) is proposed for clustering data of…

Methodology · Statistics 2025-06-23 Xi Zhang , Orla A. Murphy , Paul D. McNicholas

In this article, we proposed a new probability distribution named as power Maxwell distribution (PMaD). It is another extension of Maxwell distribution (MaD) which would lead more flexibility to analyze the data with non-monotone failure…

Applications · Statistics 2018-07-04 Abhimanyu Singh Yadav , Hassan S. Bakouch , Sanjay Kumar Singh , Umesh Singh

In this paper, we analyse the joint impact of pathloss, shadowing and fast fading on wireless networks. Taking into account the pathloss and the shadowing, we first express the SINR distribution of a mobile located at a given distance from…

Networking and Internet Architecture · Computer Science 2010-01-08 Jean-Marc Kelif , Marceau Coupechoux

We introduce the beta generalized normal distribution which is obtained by compounding the beta and generalized normal [Nadarajah, S., A generalized normal distribution, \emph{Journal of Applied Statistics}. 32, 685--694, 2005]…

Statistics Theory · Mathematics 2022-06-06 R. J. Cintra , L. C. Rêgo , G. M. Cordeiro , A. D. C. Nascimento

To measure the degree of agreement between two observers that independently classify $n$ subjects within $K$ categories, it is common to use different kappa type coefficients, the most common of which is the $\kappa_C$ coefficient (Cohen's…

Statistics Theory · Mathematics 2026-02-24 A. Martín Andrés , M. Álvarez Hernández

Gravitational lensing effects arise from the light ray deflection by all of the mass distribution along the line of sight. It is then expected that weak lensing cluster surveys can provide us true mass-selected cluster samples. With…

Astrophysics · Physics 2009-11-13 J. Y. Tang , Z. H. Fan

Recently, in the ref. Physica A \bfm{296} 405 (2001), a new one parameter deformation for the exponential function $\exp_{_{\{{\scriptstyle \kappa}\}}}(x)= (\sqrt{1+\kappa^2x^2}+\kappa x)^{1/\kappa}; \exp_{_{\{{\scriptstyle 0}\}}}(x)=\exp…

Statistical Mechanics · Physics 2015-06-24 G. Kaniadakis , A. M. Scarfone

This paper investigates the performance of Multiple-input multiple-output non-orthogonal multiple access (MIMO-NOMA) systems with randomly deployed users, where the randomly deployed NOMA users follow Poisson point process (PPP), the…

Information Theory · Computer Science 2022-09-29 Zheng Shi , Guanghua Yang , Yaru Fu , Hong Wang , Shaodan Ma

In a strongly nonlinear system the particle distribution in the phase space may develop long tails which contribution to the covariance (sigma) matrix should be suppressed for a correct estimate of the beam emittance. A method is offered…

Accelerator Physics · Physics 2014-09-22 Y. Alexahin

We revisit the classical problem of estimating an unknown distribution from its samples by fitting a mixture model that minimizes cross-entropy loss. Framing the task as a stochastic convex optimization problem over the space of $ M…

Machine Learning · Statistics 2026-05-26 Mohammadreza Ahmadypour , Tara Javidi , Farinaz Koushanfar

Large-scale fading (LSF) between interacting nodes is a fundamental element in radio communications, responsible for weakening the propagation, and thus worsening the service quality. Given the importance of channel-losses in general, and…

Information Theory · Computer Science 2014-12-30 Mouhamed Abdulla , Yousef R. Shayan

Fading is the time-dependent variation in transmitted signal strength through a complex medium, due to interference or temporally evolving multipath scattering. In this paper we use random matrix theory (RMT) to establish a first-principles…

Chaotic Dynamics · Physics 2012-01-30 Jen-Hao Yeh , Thomas M. Antonsen , Edward Ott , Steven M. Anlage

Random matrices acting on structured sets play a fundamental role in high-dimensional geometry, compressed sensing, and randomized algorithms. Existing results primarily focus on subgaussian models, when random matrices act as…

Probability · Mathematics 2026-03-11 Tiankun Diao , Xuanang Hu , Vladimir V. Ulyanov , Hanchao Wang
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