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Wavelets provide the flexibility to analyse stochastic processes at different scales. Here, we apply them to multivariate point processes as a means of detecting and analysing unknown non-stationarity, both within and across data streams.…

Methodology · Statistics 2020-11-04 Edward A. K. Cohen , Alexander J. Gibberd

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

Many studies of biomedical time series signals aim to measure the association between frequency-domain properties of time series and clinical and behavioral covariates. However, the time-varying dynamics of these associations are largely…

Methodology · Statistics 2016-10-05 Scott A. Bruce , Martica H. Hall , Daniel J. Buysse , Robert T. Krafty

It is demonstrated experimentally that a spin-torque nano-oscillator (STNO) rapidly sweep-tuned by a bias voltage can be used for time-resolved spectrum analysis of frequency-manipulated microwave signals with complicated multi-tone…

The spatial mode is an essential component of an electromagnetic field description, yet it is challenging to characterize it for optical fields with low average photon number, such as in a squeezed vacuum. We present a method for…

We propose VISP: Volatility Informed Stochastic Projection, an adaptive regularization method that leverages gradient volatility to guide stochastic noise injection in deep neural networks. Unlike conventional techniques that apply uniform…

Machine Learning · Computer Science 2025-09-03 Tanvir Islam

We explore the detection limits of the phase modulation (PM) method of finding binary systems among multi-periodic pulsating stars. The method is an attractive way of finding non-transiting planets in the habitable zones of intermediate…

Solar and Stellar Astrophysics · Physics 2016-08-02 Simon J. Murphy , Hiromoto Shibahashi , Timothy R. Bedding

In this paper, we introduce the Hessian-Schatten total variation (HTV) -- a novel seminorm that quantifies the total "rugosity" of multivariate functions. Our motivation for defining HTV is to assess the complexity of supervised-learning…

Machine Learning · Computer Science 2022-02-01 Shayan Aziznejad , Joaquim Campos , Michael Unser

Interactive video segmentation models such as SAM2 have demonstrated strong generalization across diverse visual domains. However, under weak user supervision, for example, when sparse point prompts are provided on a single frame, their…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Dawar Jyoti Deka

Although it is widely understood that pulsar timing observations generally contain time-correlated stochastic signals (TCSSs; red timing noise is of this type), most data analysis techniques that have been developed make an assumption that…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Rutger van Haasteren , Yuri Levin

The intrinsic variability of stars, due to acoustic oscillations, surface granulation, and magnetic activity, introduces radial velocity (RV) jitter in spectral lines, obscuring true planetary signals and hindering the detection of…

Solar and Stellar Astrophysics · Physics 2026-04-20 K. Sowmya , A. I. Shapiro , V. Vasilyev , V. Witzke , A. Collier Cameron , S. K. Solanki

Given prior knowledge of the spectral statistics, the SNR of optical waveforms can be manipulated in a reversible manner. We introduce this concept and discuss its potential application to encryption and context-aware detection of weak…

Optics · Physics 2018-05-02 Jacky C. K. Chan , Bahram Jalali

Stellar photometric variability and instrumental effects, like cosmic ray hits, data discontinuities, data leaks, instrument aging etc. cause difficulties in the characterization of exoplanets and have an impact on the accuracy and…

Earth and Planetary Astrophysics · Physics 2023-07-12 Sz. Csizmadia , A. M. S. Smith , J. Cabrera , P. Klagyivik , A. Chaushev , K. W. F. Lam

We present an overview of the Velocity Coordinate Spectrum (VCS), a new technique for studying astrophysical turbulence that utilizes the line-of-sight statistics of Doppler-broadened spectral lines. We consider the retrieval of turbulence…

Astrophysics of Galaxies · Physics 2009-02-03 D. Pogosyan , A. Lazarian

We introduce a new technique, called the Sliding Two-Dimensional Fluctuation Spectrum, used for detecting and characterising the temporal changes of drifting subpulses from radio pulsars. The method was tested using simulated data as well…

Solar and Stellar Astrophysics · Physics 2015-05-14 M. Serylak , B. W. Stappers , P. Weltevrede

Estimation of the covariance structure of spatial processes is of fundamental importance in spatial statistics. In the literature, several non-parametric and semi-parametric methods have been developed to estimate the covariance structure…

Methodology · Statistics 2016-11-06 Shu Yang , Zhengyuan Zhu

Considering the shortcomings of the traditional sample covariance matrix estimation, this paper proposes an improved global minimum variance portfolio model and named spectral corrected and regularized global minimum variance portfolio…

Applications · Statistics 2023-08-30 Hua Li , Jiafu Huang

Spatially varying spectral modulation can be implemented using a liquid crystal spatial light modulator (SLM) since it provides an array of liquid crystal cells, each of which can be purposed to act as a programmable spectral filter array.…

Computer Vision and Pattern Recognition · Computer Science 2022-12-13 Vishwanath Saragadam , Vijay Rengarajan , Ryuichi Tadano , Tuo Zhuang , Hideki Oyaizu , Jun Murayama , Aswin C. Sankaranarayanan

Since solar-like oscillations were first detected in red-giant stars, the presence of non-radial oscillation modes has been debated. Spectroscopic line-profile analysis was used in the first attempt to perform mode identification, which…

Solar and Stellar Astrophysics · Physics 2015-05-18 S. Hekker , C. Aerts

Turbulence plays a key role in star formation in molecular clouds, affecting star cluster primordial properties. As modelling present-day objects hinges on our understanding of their initial conditions, better constraints on turbulence can…

Astrophysics of Galaxies · Physics 2020-10-14 Piero Trevisan , Mario Pasquato , Alessandro Ballone , Michela Mapelli
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