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Shuffled linear regression (SLR) seeks to estimate latent features through a linear transformation, complicated by unknown permutations in the measurement dimensions. This problem extends traditional least-squares (LS) and Least Absolute…

Statistics Theory · Mathematics 2025-04-17 Hang Liu , Anna Scaglione

A new sampling methodology based on incomplete cosine expansion series is presented as an alternative to the traditional sinc function approach. Numerical integration shows that this methodology is efficient and practical. Applying the…

Numerical Analysis · Mathematics 2015-03-24 S. M. Abrarov , B. M. Quine

Weak gravitational lensing measurements are traditionally made at optical wavelengths where many highly resolved galaxy images are readily available. However, the Square Kilometre Array (SKA) holds great promise for this type of measurement…

Cosmology and Nongalactic Astrophysics · Physics 2015-01-19 Prina Patel , Ian Harrison , Sphesihle Makhathini , Filipe Abdalla , David Bacon , Michael L. Brown , Ian Heywood , Matt Jarvis , Oleg Smirnov

For a general formulation of linearised hybrid inverse problems in impedance tomography, the qualitative properties of the solutions are analysed. Using an appropriate scalar pseudo-differential formulation, the problems are shown to permit…

Analysis of PDEs · Mathematics 2017-08-03 Guillaume Bal , Kristoffer Hoffmann , Kim Knudsen

This paper is concerned with the problem of frequency estimation from multiple-snapshot data. It is well-known that ESPRIT (and spatial-smoothing ESPRIT in presence of coherent sources or given limited snapshots) can locate the true…

Signal Processing · Electrical Eng. & Systems 2022-08-16 Zai Yang

We apply a recently proposed method for the analysis of time series from systems with delayed feedback to experimental data generated by a CO_2 laser. The method is able to estimate the delay time with an error of the order of the sampling…

chao-dyn · Physics 2009-10-31 M. J. Bünner , M. Ciofini , A. Giaquinta , R. Hegger , H. Kantz , R. Meucci , A. Politi

The most commonly used techniques for estimating the background contribution in IACT data analysis are the ring background model and the reflected region methods. However, these two techniques are poorly suited for analyses of sources with…

Instrumentation and Methods for Astrophysics · Physics 2019-08-13 Joshua V. Cardenzana

Synthetic aperture sonar (SAS) measures a scene from multiple views in order to increase the resolution of reconstructed imagery. Image reconstruction methods for SAS coherently combine measurements to focus acoustic energy onto the scene.…

Image and Video Processing · Electrical Eng. & Systems 2023-06-19 Albert W. Reed , Juhyeon Kim , Thomas Blanford , Adithya Pediredla , Daniel C. Brown , Suren Jayasuriya

Shape analysis methods have in the past few years become very popular, both for theoretical exploration as well as from an application point of view. Originally developed for planar curves, these methods have been expanded to higher…

Differential Geometry · Mathematics 2016-09-27 Elena Celledoni , Markus Eslitzbichler , Alexander Schmeding

For manifold learning, it is assumed that high-dimensional sample/data points are embedded on a low-dimensional manifold. Usually, distances among samples are computed to capture an underlying data structure. Here we propose a metric…

Machine Learning · Computer Science 2019-09-20 Fenglei Fan , Ziyu Su , Yueyang Teng , Ge Wang

We propose a novel compressed sensing technique to accelerate the magnetic resonance imaging (MRI) acquisition process. The method, coined spread spectrum MRI or simply s2MRI, consists of pre-modulating the signal of interest by a linear…

Other Computer Science · Computer Science 2012-03-13 Gilles Puy , Jose P. Marques , Rolf Gruetter , Jean-Philippe Thiran , Dimitri Van De Ville , Pierre Vandergheynst , Yves Wiaux

This paper deals with symbolic time series representation. It builds up on the popular mapping technique Symbolic Aggregate approXimation algorithm (SAX), which is extensively utilized in sequence classification, pattern mining, anomaly…

Machine Learning · Computer Science 2022-05-27 Matej Kloska , Viera Rozinajova

Signal decomposition and multiscale signal analysis provide many useful tools for time-frequency analysis. We proposed a random feature method for analyzing time-series data by constructing a sparse approximation to the spectrogram. The…

Signal Processing · Electrical Eng. & Systems 2023-03-17 Nicholas Richardson , Hayden Schaeffer , Giang Tran

We introduce Contrastive Multivariate Singular Spectrum Analysis, a novel unsupervised method for dimensionality reduction and signal decomposition of time series data. By utilizing an appropriate background dataset, the method transforms a…

Machine Learning · Statistics 2018-11-01 Abdi-Hakin Dirie , Abubakar Abid , James Zou

We generalize probabilistic amplitude shaping (PAS) with binary codes to the case of non-binary codes defined over prime finite fields. Firstly, we introduce probabilistic shaping via time sharing where shaping applies to information…

Information Theory · Computer Science 2017-01-30 Joseph J. Boutros , Fanny Jardel , Cyril Méasson

Recent progress in self-supervised representation learning has resulted in models that are capable of extracting image features that are not only effective at encoding image level, but also pixel-level, semantics. These features have been…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Octave Mariotti , Oisin Mac Aodha , Hakan Bilen

A new Bayesian method for the analysis of folded pulsar timing data is presented that allows for the simultaneous evaluation of evolution in the pulse profile in either frequency or time, along with the timing model and additional…

Instrumentation and Methods for Astrophysics · Physics 2015-01-09 L Lentati , P. Alexander , M. P. Hobson

We have proposed and developed a method to utilize attosecond pulses in diffraction imaging techniques applied to complex samples. In this study, the effects of the broadband properties of the wavefield owing to attosecond pulses are…

Optics · Physics 2023-12-01 G. N. Tran , Katsumi Midorikawa , Eiji J. Takahashi

We apply a novel spectral graph technique, that of locally-biased semi-supervised eigenvectors, to study the diversity of galaxies. This technique permits us to characterize empirically the natural variations in observed spectra data, and…

Instrumentation and Methods for Astrophysics · Physics 2016-12-14 David Lawlor , Tamás Budavári , Michael W. Mahoney

Applying a transformation to a non-Gaussian field can enhance the information content of the resulting power spectrum, by reducing the correlations between Fourier modes. In the context of weak gravitational lensing, it has been shown that…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-16 Fergus Simpson , Joachim Harnois-Déraps , Catherine Heymans , Raul Jimenez , Benjamin Joachimi , Licia Verde