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The analysis of high spectral resolution spectroscopic and spectropolarimetric observations constitute a very powerful way of inferring the dynamical, thermodynamical, and magnetic properties of distant objects. However, these techniques…

Solar and Stellar Astrophysics · Physics 2015-06-11 A. Asensio Ramos , R. Manso Sainz

Most currently used object detection methods are learning-based, and can detect objects under varying appearances. Those models require training and a training dataset. We focus on use cases with less data variation, but the requirement of…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Valentin Braeutigam , Matthias Stock , Bernhard Egger

Direction-dependent instrumental polarisation introduces wide-field polarimetric aberrations and limits the dynamic range of low-frequency interferometric images. We therefore provide a detailed two-dimensional analysis of the Giant…

Instrumentation and Methods for Astrophysics · Physics 2014-07-03 J. S. Farnes

We investigate the focal plane wavefront sensing technique, known as Phase Diversity, at the scientific focal plane of a segmented mirror telescope with an adaptive optics (AO) system. We specifically consider an optical system imaging a…

Instrumentation and Methods for Astrophysics · Physics 2021-05-03 Masen Lamb , Carlos Correia , Suresh Sivanandam , Robin Swanson , Polina Zavyalova

We present a general principle for estimating a regression function nonparametrically, allowing for a wide variety of data filtering, for example, repeated left truncation and right censoring. Both the mean and the median regression cases…

Statistics Theory · Mathematics 2011-02-10 Oliver Linton , Enno Mammen , Jens Perch Nielsen , Ingrid Van Keilegom

In statistical machine learning, kernel methods allow to consider infinite dimensional feature spaces with a computational cost that only depends on the number of observations. This is usually done by solving an optimization problem…

Optimization and Control · Mathematics 2019-01-17 Guillaume Garrigos , Lorenzo Rosasco , Silvia Villa

Limit cycle oscillations are phenomena arising in nonlinear dynamical systems and characterized by periodic, locally-stable, and self-sustained state trajectories. Systems controlled in a closed loop along a periodic trajectory can also be…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Defne E. Ozan , Mingzhou Yin , Andrea Iannelli , Roy S. Smith

Alternative theories of gravity predict up to six distinct polarization modes for gravitational waves. Strong gravitational lensing of gravitational waves allows us to probe the polarization content of these signals by effectively…

General Relativity and Quantum Cosmology · Physics 2022-11-03 Ignacio Magaña Hernandez

Space-based coronagraphs for future earth-like planet detection will require focal plane wavefront control techniques to achieve the necessary contrast levels. These correction algorithms are iterative and the control methods require an…

Instrumentation and Methods for Astrophysics · Physics 2015-06-11 Tyler D. Groff , N. Jeremy Kasdin

In class-agnostic object counting, the goal is to estimate the total number of object instances in an image without distinguishing between specific categories. Existing methods often predict this count without considering class-specific…

Computer Vision and Pattern Recognition · Computer Science 2025-02-18 Huilin Zhu , Jingling Yuan , Zhengwei Yang , Yu Guo , Xian Zhong , Shengfeng He

Spatial field correlation functions represent a key quantity for the description of mesoscopic phenomena in disordered media and the optical characterization of complex materials. Yet many aspects related to the vector nature of light waves…

Optics · Physics 2014-02-03 Kevin Vynck , Romain Pierrat , Rémi Carminati

Image classification is an essential part of computer vision which assigns a given input image to a specific category based on the similarity evaluation within given criteria. While promising classifiers can be obtained through deep…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Emma Andrews , Prabhat Mishra

Estimating the causal effect of a treatment or health policy with observational data can be challenging due to an imbalance of and a lack of overlap between treated and control covariate distributions. In the presence of limited overlap,…

Methodology · Statistics 2025-03-24 Martha Barnard , Jared D. Huling , Julian Wolfson

One-class anomaly detection aims to detect objects that do not belong to a predefined normal class. In practice training data lack those anomalous samples; hence state-of-the-art methods are trained to discriminate between normal and…

Computer Vision and Pattern Recognition · Computer Science 2025-03-10 Romain Hermary , Vincent Gaudillière , Abd El Rahman Shabayek , Djamila Aouada

The framework developed in the present paper provides a formal ground to generate and study explainable categorizations of sets of entities, based on the epistemic attitudes of individual agents or groups thereof. Based on this framework,…

Artificial Intelligence · Computer Science 2024-12-30 Marcel Boersma , Krishna Manoorkar , Alessandra Palmigiano , Mattia Panettiere , Apostolos Tzimoulis , Nachoem Wijnberg

We discuss the mathematical aspects of wave field measurements used in traveltime inversion from seismograms. The primary information about the medium is assumed to be carried by the wave front set and its perturbation with repsect to a…

Mathematical Physics · Physics 2007-05-23 G. Hoermann , M. V. de Hoop

Most cosmic microwave background experiments observe the sky along circular or near-circular scans on the celestial sphere. For such experiments, we show that simple linear systems connect the Fourier spectra of temperature and polarization…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-25 Jia-Rui Li , Chunlong Li , Jie Jiang , Yi-Fu Cai , Jacques Delabrouille , Deliang Wu , Hong Li

The proposed system consists of a two-stage cascade. The first stage performs a rough heartbeat detection while the second stage refines the previous one, improving the temporal localization and also classifying the heartbeats into types S1…

Audio and Speech Processing · Electrical Eng. & Systems 2024-11-06 J. Torre-Cruz , D. Martinez-Munoz , N. Ruiz-Reyes , A. J. Munoz-Montoro , M. Puentes-Chiachio , F. J. Canadas-Quesada

We define morphological operators and filters for directional images whose pixel values are unit vectors. This requires an ordering relation for unit vectors which is obtained by using depth functions. They provide a centre-outward ordering…

Statistics Theory · Mathematics 2023-11-20 Konstantin Hauch , Claudia Redenbach

The accuracy of a classifier, when performing Pattern recognition, is mostly tied to the quality and representativeness of the input feature vector. Feature Selection is a process that allows for representing information properly and may…

Robotics · Computer Science 2022-09-08 Alysson Ribeiro da Silva , Camila Guedes Silveira
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