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We are interested to detect periodic signals in Hilbert space valued time series when the length of the period is unknown. A natural test statistic is the maximum Hilbert-Schmidt norm of the periodogram operator over all fundamental…

Statistics Theory · Mathematics 2020-07-07 Clément Cerovecki , Vaidotas Characiejus , Siegfried Hörmann

Neural abstractive summarization methods often require large quantities of labeled training data. However, labeling large amounts of summarization data is often prohibitive due to time, financial, and expertise constraints, which has…

Computation and Language · Computer Science 2022-02-09 Junnan Liu , Qianren Mao , Bang Liu , Hao Peng , Hongdong Zhu , Jianxin Li

Many time series classification tasks, where labels vary over time, are affected by label noise that also varies over time. Such noise can cause label quality to improve, worsen, or periodically change over time. We first propose and…

Machine Learning · Computer Science 2025-03-18 Sujay Nagaraj , Walter Gerych , Sana Tonekaboni , Anna Goldenberg , Berk Ustun , Thomas Hartvigsen

The search for exoplanets is an active field in astronomy, with direct imaging as one of the most challenging methods due to faint exoplanet signals buried within stronger residual starlight. Successful detection requires advanced image…

Instrumentation and Methods for Astrophysics · Physics 2025-03-24 Théo Bodrito , Olivier Flasseur , Julien Mairal , Jean Ponce , Maud Langlois , Anne-Marie Lagrange

Context. Distinguishing between a signal induced by either stellar activity or a planet is currently the main challenge in radial velocity searches for low-mass exoplanets. Even when the presence of a transiting planet and hence its period…

Earth and Planetary Astrophysics · Physics 2017-05-17 A. Mortier , A. Collier Cameron

While recent advancements in foundation models have significantly impacted machine learning, rigorous tests on the performance of time series foundation models (TSFMs) remain largely underexplored. This paper presents an empirical study…

Machine Learning · Computer Science 2025-01-09 Syamantak Datta Gupta

In this paper, we propose a novel method for distinguishing extraterrestrial intelligence (ETI) signals from radio frequency interference (RFI) by leveraging polarization features. We exploit the sinusoidal variation of the linearly…

Instrumentation and Methods for Astrophysics · Physics 2023-12-08 Jian-Kang Li , Yu Chen , Zhen-Zhao Tao , Xiao-Hang Luan , Tong-Jie Zhang , Bo-Lun Huang , Xiao-Hui Sun , Vishal Gajjar

This paper introduces an extension of the linear least-squares (or Lomb-Scargle) periodogram for the case when the model of the signal to be detected is non-sinusoidal and depends on unknown parameters in a non-linear manner. The attention…

Instrumentation and Methods for Astrophysics · Physics 2013-11-28 Roman V. Baluev

Local material inhomogeneities can strongly influence magnetization dynamics and macroscopic magnetic properties, yet detecting such defects from magnetic imaging data remains challenging when thermal fluctuations and experimental noise…

The sensitivities of two periodograms are compared for weak signal planet detection in transit surveys: the widely used Box-Least Squares (BLS) algorithm following light curve detrending and the Transit Comb Filter (TCF) algorithm following…

Earth and Planetary Astrophysics · Physics 2023-12-13 Yash Gondhalekar , Eric D. Feigelson , Gabriel A. Caceres , Marco Montalto , Snehanshu Saha

We consider the problem of fitting a parametric model to time-series data that are afflicted by correlated noise. The noise is represented by a sum of two stationary Gaussian processes: one that is uncorrelated in time, and another that has…

Earth and Planetary Astrophysics · Physics 2014-11-20 Joshua A. Carter , Joshua N. Winn

The detection of signals hidden in noise is one of the oldest and common problems in astronomy. Various solutions have been proposed in the past such as the parametric approaches based on the least-squares fit of theoretical templates or…

Instrumentation and Methods for Astrophysics · Physics 2020-06-12 R. Vio , P. Andreani

Consistency models possess high capabilities for image generation, advancing sampling steps to a single step through their advanced techniques. Current advancements move one step forward consistency training techniques and eliminates the…

Machine Learning · Computer Science 2024-04-10 Mahmut S. Gokmen , Cody Bumgardner , Jie Zhang , Ge Wang , Jin Chen

Ongoing, extreme-precision Doppler radial velocity surveys seek planets with masses less than several M$_\oplus$; population-level studies to determine the distribution of planetary masses, however, remain difficult due to the required…

Earth and Planetary Astrophysics · Physics 2022-04-20 Samuel H. C. Cabot , Gregory Laughlin

Direct imaging of exoplanets is a challenging task as it requires to reach a high contrast at very close separation to the star. Today, the main limitation in the high-contrast images is the quasi-static speckles that are created by…

Instrumentation and Methods for Astrophysics · Physics 2019-05-22 Benoît Pairet , Faustine Cantalloube , Carlos A. Gomez Gonzalez , Olivier Absil , Laurent Jacques

We consider detecting the evolutionary oscillatory pattern of a signal when it is contaminated by non-stationary noises with complexly time-varying data generating mechanism. A high-dimensional dense progressive periodogram test is proposed…

Methodology · Statistics 2023-07-20 Hau-Tieng Wu , Zhou Zhou

Recently, over-parameterized deep networks, with increasingly more network parameters than training samples, have dominated the performances of modern machine learning. However, when the training data is corrupted, it has been well-known…

Machine Learning · Computer Science 2022-08-04 Sheng Liu , Zhihui Zhu , Qing Qu , Chong You

New time-series analysis tools are needed in disciplines as diverse as astronomy, economics and meteorology. In particular, the increasing rate of data collection at multiple wavelengths requires new approaches able to handle these data.…

Instrumentation and Methods for Astrophysics · Physics 2021-01-05 C. E. Ferreira Lopes , N. J. G. Cross , F. Jablonski

Accurate time series analysis is essential for studying variable astronomical sources, where detecting periodicities and characterizing power spectral density (PSD) are crucial. The Lomb-Scargle periodogram, commonly used in astronomy for…

Instrumentation and Methods for Astrophysics · Physics 2024-11-06 Ezequiel Albentosa-Ruiz , Nicola Marchili

The hunt for Earth analogue planets orbiting Sun-like stars has forced the introduction of novel methods to detect signals at, or below, the level of the intrinsic noise of the observations. We present a new global periodogram method that…

Earth and Planetary Astrophysics · Physics 2015-06-19 James S. Jenkins , Nestor Becerra Yoma , Patricio Rojo , Rodrigo Mahu , Jorge Wuth