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We develop methodology and theory for the detection of a phase transition in a time-series of high-dimensional random matrices. In the model we study, at each time point \( t = 1,2,\ldots \), we observe a deformed Wigner matrix \(…

Statistics Theory · Mathematics 2025-07-08 Nina Dörnemann , Piotr Kokoszka , Tim Kutta , Sunmin Lee

Phase retrieval(PR) problem is a kind of ill-condition inverse problem which can be found in various of applications. Utilizing the sparse priority, an algorithm called SWF(Sparse Wirtinger Flow) is proposed in this paper to deal with…

Information Theory · Computer Science 2017-04-12 Ziyang Yuan , Qi Wang , Hongxia Wang

Vast amounts of astronomical photometric data are generated from various projects, requiring significant effort to identify variable stars and other object classes. In light of this, a general, widely applicable classification framework…

Instrumentation and Methods for Astrophysics · Physics 2024-09-23 Kaiming Cui , D. J. Armstrong , Fabo Feng

The signal of continuous gravitational waves has a longer duration than the observation period. Even if the waveform in the source frame is monochromatic, we will observe the waveform with modulated frequencies due to the motion of the…

General Relativity and Quantum Cosmology · Physics 2021-05-05 Takahiro S. Yamamoto , Takahiro Tanaka

We present a methodology for automated real-time analysis of a radio image data stream with the goal to find transient sources. Contrary to previous works, the transients we are interested in occur on a time-scale where dispersion starts to…

Instrumentation and Methods for Astrophysics · Physics 2021-08-09 David Ruhe , Mark Kuiack , Antonia Rowlinson , Ralph Wijers , Patrick Forré

The search for fast optical transients, such as the expected electromagnetic counterparts to binary neutron star mergers, is riddled with false positives ranging from asteroids to stellar flares. While moving objects are readily rejected…

Instrumentation and Methods for Astrophysics · Physics 2017-03-23 A. A. Miller , M. K. Kulkarni , Y. Cao , R. R. Laher , F. J. Masci , J. A. Surace

In this paper, we present an assortment of both standard and advanced Fourier techniques that are useful in the analysis of astrophysical time series of very long duration -- where the observation time is much greater than the time…

Astrophysics · Physics 2009-11-07 Scott M. Ransom , Stephen S. Eikenberry , John Middleditch

Distance-based time series anomaly detection methods are prevalent due to their relative non-parametric nature and interpretability. However, the commonly used Euclidean distance is sensitive to noise. While existing works have explored…

Machine Learning · Computer Science 2024-03-05 Hanyang Yuan , Qinglin Cai , Keting Yin

Multivariate time-series (MTS) forecasting is fundamental to applications ranging from urban mobility and resource management to climate modeling. While recent generative models based on denoising diffusion have advanced state-of-the-art…

Machine Learning · Computer Science 2025-11-21 Seyed Mohamad Moghadas , Bruno Cornelis , Adrian Munteanu

This paper develops a high-accuracy algorithm for time fractional wave problems, which employs a spectral method in the temporal discretization and a finite element method in the spatial discretization. Moreover, stability and convergence…

Numerical Analysis · Mathematics 2017-08-10 Binjie Li , Hao Luo , Xiaoping Xie

Dynamic time warping (DTW) is an effective dissimilarity measure in many time series applications. Despite its popularity, it is prone to noises and outliers, which leads to singularity problem and bias in the measurement. The time…

Machine Learning · Computer Science 2022-08-04 Xiaomin Song , Qingsong Wen , Yan Li , Liang Sun

Noise of non-astrophysical origin will contaminate science data taken by the Advanced Laser Interferometer Gravitational-wave Observatory (aLIGO) and Advanced Virgo gravitational-wave detectors. Prompt characterization of instrumental and…

Instrumentation and Methods for Astrophysics · Physics 2015-10-21 Jade Powell , Daniele Trifiro , Elena Cuoco , Ik Siong Heng , Marco Cavaglia

Multivariate time series (MTS) anomaly detection commonly encounters in various domains like finance, healthcare, and industrial monitoring. However, existing MTS anomaly detection methods are mostly defined on the static graph structure,…

Machine Learning · Computer Science 2025-09-23 Jia Li , Shiyu Long , Ye Yuan

We investigate methods to calibrate the non-common path aberrations at an adaptive optics system having a wavefront-correcting device working at an extremely high resolution (larger than 150x150). We use focal-plane images collected…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 Visa Korkiakoski , Christoph U. Keller , Niek Doelman , Matthew Kenworthy , Gilles Otten , Michel Verhaegen

With large-scale surveys such as the Zwicky Transient Facility (ZTF), it has become possible to obtain a well-sampled light curve spanning the full length of the survey for any discovery within the survey footprint. Similarly, any transient…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-14 Jacco H. Terwel , Kate Maguire , Jesper Sollerman , Phil Wiseman , Tracy X. Chen , Matthew J. Graham , Russ R. Laher , Reed Riddle , Niharika Sravan

Microlensing has a unique advantage for detecting dark objects in the Milky Way, such as free-floating planets, neutron stars, and stellar-mass black holes. Most microlensing surveys focus on the Galactic bulge, where higher stellar density…

Astrophysics of Galaxies · Physics 2024-11-11 Ruocheng Zhai , Antonio C. Rodriguez , Shude Mao , Casey Y. Lam , Eric C. Bellm , Josiah Purdum , Frank J. Masci , Avery Wold

Recent CNN and Transformer-based models tried to utilize frequency and periodicity information for long-term time series forecasting. However, most existing work is based on Fourier transform, which cannot capture fine-grained and local…

Machine Learning · Computer Science 2024-01-05 Peiyuan Liu , Beiliang Wu , Naiqi Li , Tao Dai , Fengmao Lei , Jigang Bao , Yong Jiang , Shu-Tao Xia

Change detection in remote sensing imagery plays a vital role in various engineering applications, such as natural disaster monitoring, urban expansion tracking, and infrastructure management. Despite the remarkable progress of deep…

Computer Vision and Pattern Recognition · Computer Science 2025-08-08 Xiaoyang Zhang , Guodong Fan , Guang-Yong Chen , Zhen Hua , Jinjiang Li , Min Gan , C. L. Philip Chen

Flow matching models have emerged as a powerful framework for realistic image generation by learning to reverse a corruption process that progressively adds Gaussian noise. However, because noise is injected in the latent domain, its impact…

Computer Vision and Pattern Recognition · Computer Science 2026-04-20 Sucheng Ren , Qihang Yu , Ju He , Xiaohui Shen , Alan Yuille , Liang-Chieh Chen

The periodic pulsations of stars teach us about their underlying physical process. We present a convolutional autoencoder-based pipeline as an automatic approach to search for out-of-distribution anomalous periodic variables within The…

Solar and Stellar Astrophysics · Physics 2021-11-30 H. S. Chan , S. H. Cheung , V. Ashley Villar , Shirley Ho