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We propose a Fourier-based learning algorithm for highly nonlinear multiclass classification. The algorithm is based on a smoothing technique to calculate the probability distribution of all classes. To obtain the probability distribution,…

Machine Learning · Computer Science 2022-11-17 Soheil Mehrabkhani

In this paper we present an error analysis for polarimetric data obtained with dual-beam instruments. After recalling the basic concepts, we introduce the analytical expressions for the uncertainties of polarization degree and angle. These…

Astrophysics · Physics 2009-11-11 Ferdinando Patat , Martino Romaniello

The monitoring of rotating machinery is an essential task in today's production processes. Currently, several machine learning and deep learning-based modules have achieved excellent results in fault detection and diagnosis. Nevertheless,…

Artificial Intelligence · Computer Science 2021-02-24 Lucas Costa Brito , Gian Antonio Susto , Jorge Nei Brito , Marcus Antonio Viana Duarte

We present an algorithm to estimate the rotation pole of a principal-axis rotator using silhouette images collected from multiple camera poses. First, a set of images is stacked to form a single silhouette-stack image, where the object's…

Computer Vision and Pattern Recognition · Computer Science 2025-02-06 Jacopo Villa , Jay W. McMahon , Issa A. D. Nesnas

Decision trees are widely used for non-linear modeling, as they capture interactions between predictors while producing inherently interpretable models. Despite their popularity, performing inference on the non-linear fit remains largely…

Methodology · Statistics 2026-04-14 Soham Bakshi , Snigdha Panigrahi

In this work, a pattern recognition system is investigated for blind automatic classification of digitally modulated communication signals. The proposed technique is able to discriminate the type of modulation scheme which is eventually…

Computer Vision and Pattern Recognition · Computer Science 2016-06-01 Harishchandra Dubey , Nandita , Ashutosh Kumar Tiwari

In this work Time Series Classification techniques are investigated, and especially their applicability in applications where there are significant differences between the individuals where data is collected, and the individuals where the…

Signal Processing · Electrical Eng. & Systems 2022-03-31 Erik Jakobsson , Erik Frisk , Mattias Krysander , Robert Pettersson

Polarization holonomy is analytically determined for a class of closed, spherical trajectories of light transiting a black hole in the Kerr metric. The leading order geometric optics approximation admits a closed-form expression of such…

General Relativity and Quantum Cosmology · Physics 2024-11-12 Mark T. Lusk

The detection of nanoHertz gravitational waves through pulsar timing arrays hinges on identifying a common stochastic process affecting all pulsars in a correlated way across the sky. In the presence of other deterministic and stochastic…

High Energy Astrophysical Phenomena · Physics 2024-02-14 Patrick M. Meyers , Katerina Chatziioannou , Michele Vallisneri , Alvin J. K. Chua

We present a new non-parametric method to quantify morphologies of galaxies based on a particular family of learning machines called support vector machines. The method, that can be seen as a generalization of the classical CAS…

Astrophysics · Physics 2009-11-13 M. Huertas-Company , D. Rouan , L. Tasca , G. Soucail , O. Le Fevre

We derive expressions, in terms of "polar shapelets", for the image distortion operations associated with weak gravitational lensing. Shear causes galaxy shapes to become elongated, and is sensitive to the second derivative of the projected…

Astrophysics · Physics 2008-11-26 Richard Massey , Barnaby Rowe , Alexandre Refregier , David J. Bacon , Joel Berge

We develop and test a method for measuring the gravitational lensing induced distortion of faint background galaxies. We first describe how we locate the galaxies and measure a 2-component `polarisation' or ellipticity statistic $e_\alpha$…

Astrophysics · Physics 2009-10-16 Nick Kaiser , Gordon Squires , Tom Broadhurst

We develop a novel method for detection of signals and reconstruction of images in the presence of random noise. The method uses results from percolation theory. We specifically address the problem of detection of multiple objects of…

Applications · Statistics 2013-12-02 Mikhail Langovoy , Michael Habeck , Bernhard Schölkopf

A popular technique for selecting and tuning machine learning estimators is cross-validation. Cross-validation evaluates overall model fit, usually in terms of predictive accuracy. In causal inference, the optimal choice of estimator…

Methodology · Statistics 2021-07-07 Dominik Rothenhäusler

The Stokes V parameter characterizes asymmetry of amplitudes between right- and left-handed waves, and non-vanishing value of the V parameter yields a circularly polarized signal. Cosmologically, V parameter may be a direct probe for parity…

Astrophysics · Physics 2008-11-26 Naoki Seto , Atsushi Taruya

Functional data are frequently accompanied by a parametric template that describes the typical shapes of the functions. However, these parametric templates can incur significant bias, which undermines both utility and interpretability. To…

Methodology · Statistics 2022-05-18 Daniel R. Kowal , Antonio Canale

We present a formalism for analyzing a full-sky temperature and polarization map of the cosmic microwave background. Temperature maps are analyzed by expanding over the set of spherical harmonics to give multipole moments of the two-point…

Astrophysics · Physics 2009-10-28 Marc Kamionkowski , Arthur Kosowsky , Albert Stebbins

In this paper we describe an approach for anomaly detection and its explainability in multivariate functional data. The anomaly detection procedure consists of transforming the series into a vector of features and using an Isolation forest…

Machine Learning · Statistics 2022-05-09 Mathieu Cura , Katarina Firdova , Céline Labart , Arthur Martel

Polarization is well known for its ability to decompose diffuse and specular reflections. However, the existing decomposition methods only focus on direct reflection and overlook multiple reflections, especially specular inter-reflection.…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Ryota Maeda , Shinsaku Hiura

We utilize the localization analysis method to precisely determine the light beam positions with the spatial separation beyond the optical diffraction limit. By such a direct spatial measurement, the associated optical setup is built to…

Instrumentation and Detectors · Physics 2018-10-11 Hoi Chun Chiu , Zhuohui Zeng , Luwei Zhao , Teng Zhao , Shengwang Du , Xian Chen
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