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Assessing sensitivity to unmeasured confounding is an important step in observational studies, which typically estimate effects under the assumption that all confounders are measured. In this paper, we develop a sensitivity analysis…

Methodology · Statistics 2023-09-04 Dan Soriano , Eli Ben-Michael , Peter J. Bickel , Avi Feller , Samuel D. Pimentel

Multi-channel satellite imagery, from stacked spectral bands or spatiotemporal data, have meaningful representations for various atmospheric properties. Combining these features in an effective manner to create a performant and trustworthy…

Computer Vision and Pattern Recognition · Computer Science 2022-10-25 Jason Stock , Chuck Anderson

We collect in this note some observations on the role of symmetries in Bayesian inference problems, that can be useful or detrimental depending on the way they act on the signal and on the observations. We emphasize in particular the need…

Disordered Systems and Neural Networks · Physics 2025-02-13 Guilhem Semerjian

This paper addresses the inverse scattering problem for Maxwell's equations. We first show that a bianisotropic scatterer can be uniquely determined from multi-static far-field data through the factorization analysis of the far-field…

Numerical Analysis · Mathematics 2025-02-03 Thu Le , Dinh-Liem Nguyen

Autonomous robotics is critically affected by the robustness of its scene understanding algorithms. We propose a two-axis pipeline based on polarization indices to analyze dynamic urban scenes. As robots evolve in unknown environments, they…

Computer Vision and Pattern Recognition · Computer Science 2021-06-04 Marc Blanchon , Désiré Sidibé , Olivier Morel , Ralph Seulin , Fabrice Meriaudeau

An exact mapping is established between sequence alignment, one of the most commonly used tools of computational biology, and the asymmetric exclusion process, one of the few exactly solvable models of nonequilibrium physics. The…

Statistical Mechanics · Physics 2007-05-23 R. Bundschuh

Estimating the expected value of an observable appearing in a non-equilibrium stochastic process usually involves sampling. If the observable's variance is high, many samples are required. In contrast, we show that performing the same task…

Statistical Mechanics · Physics 2015-04-07 T. H. Johnson , T. J. Elliott , S. R. Clark , D. Jaksch

Higher order correlation measurements involve multiple event averages which must run over unequal events to avoid statistical bias. We derive correction formulas for small event samples, where the bias is largest, and utilize the results to…

High Energy Physics - Experiment · Physics 2009-10-22 H. C. Eggers , P. Lipa

Azimuthal shear interferometry is a versatile tool for analyzing wavefront asymmetries. However, conventional systems are bulky, alignment-sensitive, and prone to nonuniform shear. We present a broadband, compact, and robust…

Interpretability studies often involve tracing the flow of information through machine learning models to identify specific model components that perform relevant computations for tasks of interest. Prior work quantifies the importance of a…

Machine Learning · Computer Science 2024-09-17 Maximilian Li , Lucas Janson

Composition methodologies in the current literature are mainly to promote estimation efficiency via direct composition, either, of initial estimators or of objective functions. In this paper, composite estimation is investigated for both…

Methodology · Statistics 2013-12-31 Lu Lin , Feng Li , Kangning Wang , Lixing Zhu

A new method for separating intensity variations of a source's radio emission having various physical natures is proposed. The method is based on a joint analysis of the structure function of the intensity variations and the asymmetry…

Astrophysics · Physics 2009-11-11 V. I. Shishov , T. V. Smirnova

Downsampling or under-sampling is a technique that is utilized in the context of large and highly imbalanced classification models. We study optimal downsampling for imbalanced classification using generalized linear models (GLMs). We…

Machine Learning · Statistics 2025-05-20 Yan Chen , Jose Blanchet , Krzysztof Dembczynski , Laura Fee Nern , Aaron Flores

The asymmetric objective function is proposed as an alternative to Huber objective function to model skewness and obtain robust estimators for the location, scale and skewness parameters. The robustness and asymptotic properties of the…

Statistics Theory · Mathematics 2017-02-02 Mehmet Niyazi Cankaya , Olcay Arslan

The albedo and dichroic polarization of spheroidal particles are studied. For the description of the phase function two asymmetry parameters $g_{||}$ and $g_{\bot}$ characterizing the anisotropy in forward/backward and left/right directions…

Astrophysics · Physics 2007-05-23 Nikolai V. Voshchinnikov

The occurrence of successive extreme observations can have an impact on society. In extreme value theory there are parameters to evaluate the effect of clustering of high values, such as the extremal index. The estimation of the extremal…

Methodology · Statistics 2021-08-03 Helena Ferreira , Marta Ferreira

Asymmetric causality tests are increasingly gaining popularity in different scientific fields. This approach corresponds better to reality since logical reasons behind asymmetric behavior exist and need to be considered in empirical…

Econometrics · Economics 2024-10-10 Abdulnasser Hatemi-J

Score matching estimators have gained widespread attention in recent years partly because they are free from calculating the integral of normalizing constant, thereby addressing the computational challenges in maximum likelihood estimation…

Machine Learning · Statistics 2024-10-08 Haoqun Cao , Zizhuo Meng , Tianjun Ke , Feng Zhou

Data assimilation refers to the process of obtaining an estimate of a system's state using a model for the system's time evolution and a time series of measurements that are possibly noisy and incomplete. However, for practical reasons, the…

Chaotic Dynamics · Physics 2007-05-23 Matthew Cornick , Brian Hunt , Edward Ott , Michael F. Schatz

We apply symmetry and invariance methods to analyse systems of difference equations. Non trivial symmetries are derived and their exact solutions obtained.

Dynamical Systems · Mathematics 2017-11-28 JJ Bashingwa , AH Kara , M Folly-Gbetoula