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We present a new method for multi-component power spectra estimation in multi-frequency observations of the CMB. Our method is based on matching a model to the cross and auto power spectra of observed maps. All the component power spectra…

Astrophysics · Physics 2015-06-24 Guillaume Patanchon

We consider mixture models where location parameters are a priori encouraged to be well separated. We explore a class of determinantal point process (DPP) mixture models, which provide the desired notion of separation or repulsion. Instead…

Methodology · Statistics 2017-05-16 Ilaria Bianchini , Alessandra Guglielmi , Fernando A. Quintana

We present a new blind formulation of the Cosmic Microwave Background (CMB) inference problem. The approach relies on a phenomenological model of the multi-frequency microwave sky without the need for physical models of the individual…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-30 Flavien Vansyngel , Benjamin D. Wandelt , Jean-François Cardoso , Karim Benabed

When employing non-linear methods to characterise complex systems, it is important to determine to what extent they are capturing genuine non-linear phenomena that could not be assessed by simpler spectral methods. Specifically, we are…

Methodology · Statistics 2021-09-22 Pedro A. M. Mediano , Fernando E. Rosas , Adam B. Barrett , Daniel Bor

Determining accurate plasma Doppler (line-of-sight) velocities from spectroscopic measurements is a challenging endeavour, especially when weak chromospheric absorption lines are often rapidly evolving and, hence, contain multiple spectral…

Solar and Stellar Astrophysics · Physics 2021-01-05 Conor D. MacBride , David B. Jess , Samuel D. T. Grant , Elena Khomenko , Peter H. Keys , Marco Stangalini

Spectral envelope is one of the most important features that characterize the timbre of an instrument sound. However, it is difficult to use spectral information in the framework of conventional spectrogram decomposition methods. We…

Sound · Computer Science 2018-01-15 Jeongsoo Park , Jaeyoung Shin , Kyogu Lee

The 'Internal Linear Combination' (ILC) component separation method has been extensively used to extract a single component, the CMB, from the WMAP multifrequency data. We generalise the ILC approach for separating other millimetre…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-24 Mathieu Remazeilles , Jacques Delabrouille , Jean-Francois Cardoso

Spectrum sensing and analysis is crucial for a variety of reasons, including regulatory compliance, interference detection and mitigation, and spectrum resource planning and optimization. Effective, real-time spectrum analysis remains a…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Rahil Gandotra , Ruoyu Sun , Mark Poletti , Jiayu Mao , Hao Guo

We introduce Spectral Guidance, a framework for controlling diffusion models by leveraging the intrinsic geometry of the generative process. As data is progressively corrupted by noise, only a small number of features remain informative for…

Machine Learning · Computer Science 2026-05-29 Gabriel Moreira , Manuel Marques , João Paulo Costeira , Chenyan Xiong

Consideration is given to the methods of gaining experimental data on the substances which constitute a part of multicomponent samples to be measured. The methods are applicable to the samples comprising an arbitrary number of components;…

Data Analysis, Statistics and Probability · Physics 2011-12-20 A. Yu. Buki

Using the technique of spectral disentangling, it is possible to determine the individual spectra of the components of a multiple star system from composite spectra observed at a range of orbital phases. This method has several advantages:…

Solar and Stellar Astrophysics · Physics 2015-05-20 E. Tamajo , K. Pavlovski , J. Southworth

We describe an automated method for assigning the most likely physical parameters to the components of an eclipsing binary (EB), using only its photometric light curve and combined color. In traditional methods (e.g. WD and EBOP) one…

Astrophysics · Physics 2016-08-30 Jonathan Devor , David Charbonneau

We present a new approach to component separation in multifrequency CMB experiments by formulating the problem as that of partitioning the sky into pixel clusters such that within each pixel cluster the foregrounds have similar spectrum,…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-18 Rishi Khatri

Identifying pure components in mixtures is a common yet challenging problem. The associated unmixing process requires the pure components, also known as endmembers, to be sufficiently spectrally distinct. Even with this requirement met,…

Data Analysis, Statistics and Probability · Physics 2023-11-16 Oliver Hoidn , Aashwin Mishra , Apurva Mehta

This paper addresses the problem of separating spectral sources which are linearly mixed with unknown proportions. The main difficulty of the problem is to ensure the full additivity (sum-to-one) of the mixing coefficients and…

Methodology · Statistics 2010-08-30 Nicolas Dobigeon , Said Moussaoui , Jean-Yves Tourneret , Cedric Carteret

It is well known that multiple Galactic thermal dust emission components may exist along the line of sight, but a single-component approximation is still widely used, since a full multi-component estimation requires a large number of…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-22 Hao Liu , Jia-Rui Li , Yi-Fu Cai

Differential optical absorption spectroscopy (DOAS) is a powerful tool for detecting and quantifying trace gases in atmospheric chemistry \cite{Platt_Stutz08}. DOAS spectra consist of a linear combination of complex multi-peak multi-scale…

Numerical Analysis · Mathematics 2011-09-30 Y. Sun , L. M. Wingen , B. J. Finlayson-Pitts , J. Xin

We use Bayesian component estimation methods to examine the prospects for large-scale polarized map and cosmological parameter estimation with simulated Planck data assuming simplified white noise properties. The sky signal is parametrized…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Charmaine Armitage-Caplan , Joanna Dunkley , Hans Kristian Eriksen , Clive Dickinson

Mitigation of the impact of foreground contributions to measurements of Cosmic Microwave Background (CMB) polarization is a crucial step in modern CMB data analysis and is of particular importance for a detection of large-scale CMB $B$…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-14 Clément Leloup , Josquin Errard , Radek Stompor

Diffusion models (DMs) have emerged as powerful tools for modeling complex data distributions and generating realistic new samples. Over the years, advanced architectures and sampling methods have been developed to make these models…

Machine Learning · Computer Science 2025-12-11 Roi Benita , Michael Elad , Joseph Keshet