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Identifying frequencies with low signal-to-noise ratios in time series of stellar photometry and spectroscopy, and measuring their amplitude ratios and peak widths accurately, are critical goals for asteroseismology. These are also…

Data Analysis, Statistics and Probability · Physics 2010-06-29 P. Reegen

The exact period determination of a multi-periodic variable star based on its luminosity time series data is believed a task requiring skill and experience. Thus the majority of available time series analysis techniques require human…

Solar and Stellar Astrophysics · Physics 2015-03-17 K. Y. Shaju , Piet Reegen , Ramesh Babu Thayyullathil

{\sc Cinderella} is a software solution for the quantitative comparison of time series in the frequency domain. It assigns probabilities to coincident peaks in the DFT amplidude spectra of the datasets under consideration. Two different…

Instrumentation and Methods for Astrophysics · Physics 2010-06-29 Piet Reegen

We develop methodology allowing to simulate a stationary functional time series defined by means of its spectral density operators. Our framework is general, in that it encompasses any such stationary functional time series, whether linear…

Methodology · Statistics 2020-07-17 Tomáš Rubín , Victor M. Panaretos

Despite the eminent successes of deep neural networks, many architectures are often hard to transfer to irregularly-sampled and asynchronous time series that commonly occur in real-world datasets, especially in healthcare applications. This…

Machine Learning · Computer Science 2020-09-16 Max Horn , Michael Moor , Christian Bock , Bastian Rieck , Karsten Borgwardt

A useful approach for analysing multiple time series is via characterising their spectral density matrix as the frequency domain analog of the covariance matrix. When the dimension of the time series is large compared to their length,…

Statistics Theory · Mathematics 2018-10-29 Mark Fiecas , Chenlei Leng , Weidong Liu , Yi Yu

We present a brief technical outline of the newly-formed 'Detection of Spectroscopic Differences over Time' (DS/DT) project. Our collaboration is using the individual exposures from the SDSS spectroscopic archive to produce a…

Instrumentation and Methods for Astrophysics · Physics 2015-06-03 Steven Bickerton , Carles Badenes , Thomas Hettinger , Timothy Beers , Sonya Huang

Asynchronous Time Series is a multivariate time series where all the channels are observed asynchronously-independently, making the time series extremely sparse when aligning them. We often observe this effect in applications with complex…

Machine Learning · Computer Science 2022-08-25 Vijaya Krishna Yalavarthi , Johannes Burchert , Lars Schmidt-Thieme

Selecting subsets of features that differentiate between two conditions is a key task in a broad range of scientific domains. In many applications, the features of interest form clusters with similar effects on the data at hand. To recover…

Machine Learning · Computer Science 2022-11-11 Ram Dyuthi Sristi , Gal Mishne , Ariel Jaffe

The identification of increasingly smaller signal from objects observed with a non-perfect instrument in a noisy environment poses a challenge for a statistically clean data analysis. We want to compute the probability of frequencies…

Astrophysics · Physics 2010-06-29 P. Reegen , M. Gruberbauer , L. Schneider , W. W. Weiss

Time series classification(TSC) has always been an important and challenging research task. With the wide application of deep learning, more and more researchers use deep learning models to solve TSC problems. Since time series always…

Machine Learning · Computer Science 2021-01-27 Shibo Zhou , Yu Pan

The spectrogram is a classical DSP tool used to view signals in both time and frequency. Unfortunately, the Heisenberg Uncertainty Principal limits our ability to use them for detecting and measuring narrowband signal modulation in wideband…

Information Theory · Computer Science 2014-01-22 Ray Maleh , Frank A. Boyle

Understanding and distinguishing temporal patterns in time series data is essential for scientific discovery and decision-making. For example, in biomedical research, uncovering meaningful patterns in physiological signals can improve…

Machine Learning · Computer Science 2025-12-16 Yu-Chia Huang , Juntong Chen , Dongyu Liu , Kwan-Liu Ma

Audio fingerprinting is a technique used to identify and match audio recordings based on their unique characteristics. It involves creating a condensed representation of an audio signal that can be used to quickly compare and match against…

Sound · Computer Science 2023-05-03 Aarón López-García

Estimating closely spaced frequency components of a signal is a fundamental problem in statistical signal processing. In this letter, we introduce 1-D real-valued and complex-valued shifted window (Swin) transformers, referred to as…

Signal Processing · Electrical Eng. & Systems 2023-09-19 Josiah W. Smith , Murat Torlak

Spectroscopically measuring low levels of non-equilibrium phenomena (e.g. emission in the presence of a large thermal background) can be problematic due to an unfavorable signal-to-noise ratio. An approach is presented to use time-series…

Geophysics · Physics 2015-04-08 John Scoville

Time series analysis is crucial in fields like finance, economics, environmental science, and biomedical engineering, aiding in forecasting, pattern identification, and understanding underlying mechanisms. While traditional time-domain…

Methodology · Statistics 2024-08-21 Jonathan de Souza Matias , Valderio Anselmo Reisen

Spectral density matrix estimation of multivariate time series is a classical problem in time series and signal processing. In modern neuroscience, spectral density based metrics are commonly used for analyzing functional connectivity among…

Methodology · Statistics 2018-12-04 Yiming Sun , Yige Li , Amy Kuceyeski , Sumanta Basu

Appropriate preprocessing is a fundamental prerequisite for analyzing a noisy dataset. The purpose of this paper is to apply a nonparametric preprocessing method, called Singular Spectrum Analysis (SSA), to a variety of datasets which are…

Methodology · Statistics 2022-03-14 Maryam Movahedifar , Thorsten Dickhaus

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
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