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We consider the problem of detecting a `bump' in the intensity of a Poisson process or in a density. We analyze two types of likelihood ratio based statistics which allow for exact finite sample inference and asymptotically optimal…

Methodology · Statistics 2014-02-26 Camilo Rivera , Guenther Walther

The growth of a rough interface through a random media is modelled by a continuous stochastic equation with a quenched noise. By use of the Novikov theorem we can transform the dependence of the noise on the interface height into an…

Condensed Matter · Physics 2009-10-22 J. M. Lopez , M. A. Rodriguez , A. Diaz-Guilera , A. Hernandez-Machado

This article introduces novel measures of inaccuracy and divergence based on survival extropy and their dynamic forms and explores their properties and applications. To address the drawbacks of asymmetry and range limitations, we introduce…

Applications · Statistics 2024-10-31 Saranya P. , Sunoj S. M

Quantifying robustness in a single measure for the purposes of model selection, development of adversarial training methods, and anticipating trends has so far been elusive. The simplest metric to consider is the number of trainable…

Machine Learning · Computer Science 2024-10-25 David Khachaturov , Robert Mullins

Atmospheric attenuation, atmospheric turbulence, geometric spread, and pointing errors, degrade the performance of free-space optical transmission. In the weak turbulence regime, the probability density function describing the distribution…

Signal Processing · Electrical Eng. & Systems 2025-06-25 Carmen Álvarez Roa , Yunus Can Gültekin , Kaiquan Wu , Cornelis Willem Korevaar , Alex Alvarado

Surface roughness and dielectric properties are crucial in characterizing radar backscattering from bare soil surfaces. However, their estimation depends on the surface size of the sampling profile, and the complex relative permittivity is…

Applied Physics · Physics 2023-12-27 Zhihua Wang , Ying Yang , Kun-Shan Chen

In this paper, we propose a robust profile estimation method for the parametric and nonparametric components of a single index model when the errors have a strongly unimodal density with unknown nuisance parameter. Under regularity…

Methodology · Statistics 2018-01-25 Claudio Agostinelli , Ana M. Bianco , Graciela Boente

The roughness exponent of surfaces obtained by dispersing silica spheres into a quasi-two-dimensional cell is examined using experimental and computational methods. The cell consists of two glass plates separated by a gap, which is…

Soft Condensed Matter · Physics 2007-05-23 K. V. McCloud , U. Cardak , M. L. Kurnaz

Prandtl's secondary flows of the second kind generated by laterally-varying roughness are studied using the linearised Reynolds-Averaged Navier-Stokes approach proposed in Zampino et al (2022). The momentum equations are coupled to the…

Fluid Dynamics · Physics 2024-12-18 D. Lasagna , G. Zampino , B. Ganapathisubramani

This paper present a strong data mining method based on rough set, which can realize feature selection, classification and knowledge representation at the same time. Rough set has good interpretability, and is a popular method for feature…

Machine Learning · Computer Science 2022-01-13 Shuyin Xia , Xinyu Bai , Guoyin Wang , Deyu Meng , Xinbo Gao , Zizhong Chen , Elisabeth Giem

The panel data regression models have gained increasing attention in different areas of research including but not limited to econometrics, environmental sciences, epidemiology, behavioral and social sciences. However, the presence of…

Methodology · Statistics 2020-11-24 Beste Hamiye Beyaztas , Soutir Bandyopadhyay

One of the most common analysis tasks in genomic research is to identify genes that are differentially expressed (DE) between experimental conditions. Empirical Bayes (EB) statistical tests using moderated genewise variances have been very…

Applications · Statistics 2016-07-28 Belinda Phipson , Stanley Lee , Ian J. Majewski , Warren S. Alexander , Gordon K. Smyth

We study the strong approximation of a rough volatility model, in which the log-volatility is given by a fractional Ornstein-Uhlenbeck process with Hurst parameter $H<1/2$. Our methods are based on an equidistant discretization of the…

Probability · Mathematics 2016-06-14 Andreas Neuenkirch , Taras Shalaiko

A liquid scorecard has liquid characteristics, for which the characteristic score is a smooth function of the characteristic over a liquid range. The smooth function is based on B-splines, typically cubic. In contrast, the characteristic…

Methodology · Statistics 2020-03-03 Bruce Hoadley

We solve the problem of estimating the distribution of presumed i.i.d. observations for the total variation loss. Our approach is based on density models and is versatile enough to cope with many different ones, including some density…

Statistics Theory · Mathematics 2024-01-05 Y. Baraud , H. Halconruy , G. Maillard

Direct Numerical Simulations (DNS) of turbulent channel flow at a shear Reynolds number of $Re_{*}=360$ for Newtonian and Herschel-Bulkley fluids in smooth and rough channels has been performed. The rough surface was made of irregular…

Fluid Dynamics · Physics 2023-12-11 C. Narayanan , S. Nauer , J. -S. Singh , R. Belt , T. Palermo , D. Lakehal

Widely observed neural scaling laws, in which error falls off as a power of the training set size, model size, or both, have driven substantial performance improvements in deep learning. However, these improvements through scaling alone…

Machine Learning · Computer Science 2023-04-25 Ben Sorscher , Robert Geirhos , Shashank Shekhar , Surya Ganguli , Ari S. Morcos

The estimation of a density profile from experimental data points is a challenging problem, usually tackled by plotting a histogram. Prior assumptions on the nature of the density, from its smoothness to the specification of its form, allow…

Methodology · Statistics 2015-03-13 Alberto Bernacchia , Simone Pigolotti

Errors in variables (Deming) regression of measurements spanning a wide range of values requires appropriate weighting to reflect nonconstant variance. Precision profile models, mathematical relationships between measurement variance and…

Computation · Statistics 2025-08-06 Douglas M Hawkins , Jessica J Kraker

Neural Network Pruning has been established as driving force in the exploration of memory and energy efficient solutions with high throughput both during training and at test time. In this paper, we introduce a novel criterion for model…

Machine Learning · Computer Science 2025-12-09 Angelos-Christos Maroudis , Sotirios Xydis
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