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In this paper we explore avenues for improving the reliability of dimensionality reduction methods such as Non-Negative Matrix Factorization (NMF) as interpretive exploratory data analysis tools. We first explore the difficulties of the…

Artificial Intelligence · Computer Science 2009-04-22 Nikolaos Vasiloglou , Alexander G. Gray , David V. Anderson

Recent developments in astronomical observations enable direct imaging of circumstellar disks. Precise characterization of such extended structure is essential to our understanding of stellar systems. However, the faint intensity of the…

Instrumentation and Methods for Astrophysics · Physics 2021-02-01 Benoît Pairet , Faustine Cantalloube , Laurent Jacques

This tutorial is an introduction to High-Contrast Imaging, a technique that enables astronomers to isolate light from faint planets and/or circumstellar disks that would otherwise be lost amidst the light of their host stars. Although…

Instrumentation and Methods for Astrophysics · Physics 2023-08-04 Katherine B Follette

We consider the problem of accurately and efficiently querying a remote server to retrieve information about images captured by a mobile device. In addition to reduced transmission overhead and computational complexity, the retrieval…

Computer Vision and Pattern Recognition · Computer Science 2016-05-10 Jacob Chakareski , Immanuel Manohar , Shantanu Rane

The success of ground-based, high contrast imaging for the detection of exoplanets in part depends on the ability to differentiate between quasi-static speckles caused by aberrations not corrected by adaptive optics (AO) systems, known as…

Instrumentation and Methods for Astrophysics · Physics 2018-07-13 Alexander T. Rodack , Jared R. Males , Olivier Guyon , Benjamin A. Mazin , Michael P. Fitzgerald , Dimitri Mawet

Direct imaging of extra-solar planets has now become a reality, especially with the deployment and commissioning of the first generation of specialized ground-based instruments such as the GPI, SPHERE, P1640 and SCExAO. These systems will…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 Sandrine J. Thomas , Ruslan Belikov , Eduardo Bendek

Archetypal analysis and non-negative matrix factorization (NMF) are staples in a statisticians toolbox for dimension reduction and exploratory data analysis. We describe a geometric approach to both NMF and archetypal analysis by…

Methodology · Statistics 2015-11-05 Anil Damle , Yuekai Sun

Nonnegative matrix factorization (NMF) has become a very popular technique in machine learning because it automatically extracts meaningful features through a sparse and part-based representation. However, NMF has the drawback of being…

Machine Learning · Statistics 2012-12-07 Nicolas Gillis

Nonnegative matrix factorization (NMF) is a powerful tool for data mining. However, the emergence of `big data' has severely challenged our ability to compute this fundamental decomposition using deterministic algorithms. This paper…

Machine Learning · Statistics 2018-05-02 N. Benjamin Erichson , Ariana Mendible , Sophie Wihlborn , J. Nathan Kutz

We present two diagnostic methods based on ideas of Principal Component Analysis and demonstrate their efficiency for sophisticated processing of multicolour photometric observations of variable objects.

Astrophysics · Physics 2015-06-24 Zdenek Mikulasek

Nonnegative Matrix Factorization (NMF), first proposed in 1994 for data analysis, has received successively much attention in a great variety of contexts such as data mining, text clustering, computer vision, bioinformatics, etc. In this…

Numerical Analysis · Mathematics 2019-03-05 Paola Favati , Grazia Lotti , Ornella Menchi , Francesco Romani

Angular differential imaging (ADI) and spectral differential imaging (SDI) are commonly used for direct detection and characterisation of young, Jovian exoplanets in datasets obtained with the SPHERE/IFS instrument. We compare the…

Instrumentation and Methods for Astrophysics · Physics 2021-08-11 S. Kiefer , A. J. Bohn , S. P. Quanz , M. Kenworthy , T. Stolker

Principal Component Analysis (PCA) is a well-known technique used to decorrelate a set of vectors. It has been applied to explore the star formation history of galaxies or to determine distances of mass-lossing stars. Here we apply PCA to…

Astrophysics · Physics 2007-10-23 Stavros Akras , Panayotis Boumis

Direct imaging of exoplanets is usually limited by quasi-static speckles. These uncorrected aberrations in a star's point spread function (PSF) obscure faint companions and limit the sensitivity of high-contrast imaging instruments. Most…

Instrumentation and Methods for Astrophysics · Physics 2021-05-05 William Thompson , Christian Marois

We present a two-component Machine Learning (ML) based approach for classifying astronomical images by data-quality via an examination of sources detected in the images and image pixel values from representative sources within those images.…

Instrumentation and Methods for Astrophysics · Physics 2020-04-01 Hossen Teimoorinia , J. J. Kavelaars , Stephen Gwyn , Daniel Durand , Kennedy Rolston , Alexander Ouellette

Associated Particle Imaging (API) is a nuclear technique that allows for the nondestructive determination of 3D isotopic distributions. The technique is based on the detection of the alpha particles associated with the neutron emitted in…

Instrumentation and Detectors · Physics 2018-11-22 Mauricio Ayllon Unzueta , Will Mixter , Zachary Croft , John Joseph , Bernhard Ludewigt , Arun Persaud

Non-negative matrix factorization (NMF) has become a popular method for representing meaningful data by extracting a non-negative basis feature from an observed non-negative data matrix. Some of the unique features of this method in…

Optimization and Control · Mathematics 2022-11-15 Sajad Fathi Hafshejani , Zahra Moaberfard

Identifying recurring patterns in high-dimensional time series data is an important problem in many scientific domains. A popular model to achieve this is convolutive nonnegative matrix factorization (CNMF), which extends classic…

Machine Learning · Computer Science 2019-07-02 Anthony Degleris , Ben Antin , Surya Ganguli , Alex H Williams

Alternating direction methods of multipliers (ADMMs) are popular approaches to handle large scale semidefinite programs that gained attention during the past decade. In this paper, we focus on solving doubly nonnegative programs (DNN),…

Optimization and Control · Mathematics 2020-09-15 Martina Cerulli , Marianna De Santis , Elisabeth Gaar , Angelika Wiegele

The direct imaging from the ground of extrasolar planets has become today a major astronomical and biological focus. This kind of imaging requires simultaneously the use of a dedicated high performance Adaptive Optics [AO] system and a…

Astrophysics · Physics 2009-11-11 J. -F. Sauvage , L. Mugnier , T. Fusco , G. Rousset
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