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Handling big data has largely been a major bottleneck in traditional statistical models. Consequently, when accurate point prediction is the primary target, machine learning models are often preferred over their statistical counterparts for…

统计方法学 · 统计学 2021-04-02 Arindam Fadikar , Stefan M. Wild , Jonas Chaves-Montero

We present a data-driven technique to analyze multifrequency images from upcoming cosmological surveys mapping large sky area. Using full information from the data at the two-point level, our method can simultaneously constrain the…

宇宙学与河外天体物理 · 物理学 2023-03-01 Yun-Ting Cheng , Benjamin D. Wandelt , Tzu-Ching Chang , Olivier Dore

Dimension-reduction techniques can greatly improve statistical inference in astronomy. A standard approach is to use Principal Components Analysis (PCA). In this work we apply a recently-developed technique, diffusion maps, to astronomical…

天体物理学 · 物理学 2011-02-11 Joseph W. Richards , Peter E. Freeman , Ann B. Lee , Chad M. Schafer

Data-driven approaches play a crucial role in space computing, and our paper focuses on analyzing data to learn more about celestial objects. Photometric redshift, a measure of the shift of light towards the red part of the spectrum, helps…

天体物理仪器与方法 · 物理学 2024-11-22 Krishna Chunduri , Mithun Mahesh

A resolution-independent data-driven stochastic parametrization method for subgrid-scale processes in coarsened fluid descriptions is proposed. The method enables the inclusion of high-fidelity data into the coarsened flow model, thereby…

流体动力学 · 物理学 2023-04-26 Sagy Ephrati , Paolo Cifani , Milo Viviani , Bernard Geurts

In dynamic MRI, sufficient time resolution can often only be obtained using imaging protocols which produce undersampled data for each image in the time series. This has led to the popularity of compressed sensing (CS) based image…

In dealing with high-dimensional data, factor models are often used for reducing dimensions and extracting relevant information. The spectrum of covariance matrices from power data exhibits two aspects: 1) bulk, which arises from random…

应用统计 · 统计学 2019-10-22 Xin Shi , Robert Qiu

The recently initiated SPHEREx and 7DS surveys will deliver low-resolution spectra ($R\approx 30-130$) for hundreds of millions of galaxies over the optical to near-infrared range ($0.4-5.0\mu m$), covering a wide sky area without sample…

Dimensionality reduction methods, such as principal component analysis (PCA) and factor analysis, are central to many problems in data science. There are, however, serious and well-understood challenges to finding robust low dimensional…

机器学习 · 统计学 2024-02-06 C. Li , A. Shkolnik

Context: In astronomy, new approaches to process and analyze the exponentially increasing amount of data are inevitable. While classical approaches (e.g. template fitting) are fine for objects of well-known classes, alternative techniques…

星系天体物理 · 物理学 2016-08-08 S. D. Kügler , K. Polsterer , M. Hoecker

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…

天体物理仪器与方法 · 物理学 2016-12-14 David Lawlor , Tamás Budavári , Michael W. Mahoney

We introduce a supervised dimensionality reduction methodology for categorical (and discretized mixed-type) data based on a density-matrix construction induced by class-conditional frequencies. Given a labeled dataset encoded in a one-hot…

机器学习 · 统计学 2026-03-03 Raquel Bosch-Romeu , Antonio Falcó , osé-Antonio Rodríguez-Gallego

We present a new method for inferring photometric redshifts in deep galaxy and quasar surveys, based on a data driven model of latent spectral energy distributions (SEDs) and a physical model of photometric fluxes as a function of redshift.…

宇宙学与河外天体物理 · 物理学 2017-03-29 Boris Leistedt , David W. Hogg

Obtaining accurately calibrated redshift distributions of photometric samples is one of the great challenges in photometric surveys like LSST, Euclid, HSC, KiDS, and DES. We present an inference methodology that combines the redshift…

宇宙学与河外天体物理 · 物理学 2021-12-09 M. M. Rau , C. B. Morrison , S. J. Schmidt , S. Wilson , R. Mandelbaum , Y. Y. Mao

Traditional photometric redshift methods use only color information about the objects in question to estimate their redshifts. This paper introduces a new method utilizing colors, luminosity, surface brightness, and radial light profile to…

天体物理学 · 物理学 2008-11-26 James J. Wray , James E. Gunn

We present a robust method to estimate the redshift of galaxies using Pan-STARRS1 photometric data. Our method is an adaptation of the one proposed by Beck et al. (2016) for the SDSS Data Release 12. It uses a training set of 2313724…

星系天体物理 · 物理学 2020-10-14 Paula Tarrío , Stefano Zarattini

We present a Bayesian hierarchical framework to analyze photometric galaxy survey data with stellar population synthesis (SPS) models. Our method couples robust modeling of spectral energy distributions with a population model and a noise…

天体物理仪器与方法 · 物理学 2023-01-18 Boris Leistedt , Justin Alsing , Hiranya Peiris , Daniel Mortlock , Joel Leja

Principal component analysis (PCA) is a key tool in the field of data dimensionality reduction that is useful for various data science problems. However, many applications involve heterogeneous data that varies in quality due to noise…

机器学习 · 统计学 2023-11-14 Javier Salazar Cavazos , Jeffrey A. Fessler , Laura Balzano

In this work, we are trying to extent the existing photometric redshift regression models from modeling pure photometric data back to the spectra themselves. To that end, we developed a PCA that is capable of describing the input…

天体物理仪器与方法 · 物理学 2016-07-21 S. D. Kügler , N. Gianniotis

This article considers a novel and widely applicable approach to modeling high-dimensional dependent data when a large number of explanatory variables are available and the signal-to-noise ratio is low. We postulate that a $p$-dimensional…

统计方法学 · 统计学 2024-12-09 Zhaoxing Gao , Ruey S. Tsay
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