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In this paper we present a family of algorithms that can simultaneously align and cluster sets of multidimensional curves measured on a discrete time grid. Our approach is based on a generative mixture model that allows non-linear time…

Applications · Statistics 2012-12-12 Darya Chudova , Scott Gaffney , Padhraic Smyth

We present FAST-MEPSA, an optimised version of the MEPSA algorithm developed to detect peaks in uniformly sampled time series affected by uncorrelated Gaussian noise. Although originally conceived for the analysis of gamma-ray burst (GRB)…

Instrumentation and Methods for Astrophysics · Physics 2025-12-12 Manuele Maistrello , Romain Maccary , Cristiano Guidorzi

Change Point Detection (CPD) methods identify the times associated with changes in the trends and properties of time series data in order to describe the underlying behaviour of the system. For instance, detecting the changes and anomalies…

Machine Learning · Computer Science 2021-03-08 Shohreh Deldari , Daniel V. Smith , Hao Xue , Flora D. Salim

We present a new method to detect planetary transits from time-series photometry, the Transit Least Squares (TLS) algorithm. TLS searches for transit-like features while taking the stellar limb darkening and planetary ingress and egress…

Earth and Planetary Astrophysics · Physics 2019-03-06 Michael Hippke , René Heller

In this paper, we introduce a new adaptive data analysis method to study trend and instantaneous frequency of nonlinear and non-stationary data. This method is inspired by the Empirical Mode Decomposition method (EMD) and the recently…

Numerical Analysis · Mathematics 2012-02-28 Thomas Y. hou , Zuoqiang Shi

Clustering is widely used in unsupervised learning to find homogeneous groups of observations within a dataset. However, clustering mixed-type data remains a challenge, as few existing approaches are suited for this task. This study…

Machine Learning · Statistics 2025-11-26 Badih Ghattas , Alvaro Sanchez San-Benito

Spatial frequency estimation from a mixture of noisy sinusoids finds applications in various fields. While subspace-based methods offer cost-effective super-resolution parameter estimation, they demand precise array calibration, posing…

Signal Processing · Electrical Eng. & Systems 2024-10-23 Tianyi Liu , Sai Pavan Deram , Khaled Ardah , Martin Haardt , Marc E. Pfetsch , Marius Pesavento

Context. The emergence of mixed modes during the subgiant phase, whose frequencies are characterized by a fast evolution with age, can potentially enable a precise determination of stellar properties, a key goal for future missions like…

Solar and Stellar Astrophysics · Physics 2025-01-20 Miguel Clara , Margarida S. Cunha , Pedro P. Avelino , Tiago L. Campante , Sébastien Deheuvels , Daniel R. Reese

GRS 1915+105 is a prominent black hole system exhibiting variability over a wide range of time scales and its observed light curves have been classified into 12 temporal states. Here we undertake a complete analysis of these light curves…

High Energy Astrophysical Phenomena · Physics 2015-05-19 K. P. Harikrishnan , R. Misra , G. Ambika

For the past decades we have experienced an enormous expansion of the accumulated data that humanity produces. Daily a numerous number of smart devices, usually interconnected over internet, produce vast, real-values datasets. Time series…

Artificial Intelligence · Computer Science 2020-01-08 Konstantinos F. Xylogiannopoulos

Solving systems of Boolean equations is a fundamental task in symbolic computation and algebraic cryptanalysis, with wide-ranging applications in cryptography, coding theory, and formal verification. Among existing approaches, the Boolean…

Cryptography and Security · Computer Science 2026-04-21 Minzhong Luo , Yudong Sun , Yin Long

This paper introduces temporally local metrics for Multi-Object Tracking. These metrics are obtained by restricting existing metrics based on track matching to a finite temporal horizon, and provide new insight into the ability of trackers…

Computer Vision and Pattern Recognition · Computer Science 2021-04-07 Jack Valmadre , Alex Bewley , Jonathan Huang , Chen Sun , Cristian Sminchisescu , Cordelia Schmid

Selection of appropriate template matching algorithms to run effectively on real-time low-cost systems is always major issue. This is due to unpredictable changes in image scene which often necessitate more sophisticated real-time…

Computer Vision and Pattern Recognition · Computer Science 2025-09-23 Ahmet Orun

Timing systems based on Analog-to-Digital Converters are widely used in the design of previous high energy physics detectors. In this paper, we propose a new method based on deep learning to extract the time information from a finite set of…

Data Analysis, Statistics and Probability · Physics 2019-04-02 Pengcheng Ai , Dong Wang , Guangming Huang , Ni Fang , Deli Xu , Fan Zhang

The problem of denoising a one-dimensional signal possessing varying degrees of smoothness is ubiquitous in time-domain astronomy and astronomical spectroscopy. For example, in the time domain, an astronomical object may exhibit a smoothly…

Instrumentation and Methods for Astrophysics · Physics 2022-02-01 Collin A. Politsch , Jessi Cisewski-Kehe , Rupert A. C. Croft , Larry Wasserman

The detection of planetary transits in stellar photometric light-curves is poised to become the main method for finding substantial numbers of terrestrial planets. The French-European mission COROT (foreseen for launch in 2005) will perform…

Astrophysics · Physics 2009-11-07 S. Aigrain , F. Favata

Large deviations for additive path functionals of stochastic processes have attracted significant research interest, in particular in the context of stochastic particle systems and statistical physics. Efficient numerical `cloning'…

Probability · Mathematics 2021-07-21 Letizia Angeli , Stefan Grosskinsky , Adam M. Johansen

We present a novel automated methodology to detect and classify periodic variable stars in a large database of photometric time series. The methods are based on multivariate Bayesian statistics and use a multi-stage approach. We applied our…

Instrumentation and Methods for Astrophysics · Physics 2014-06-27 J. Blomme , L. M. Sarro , F. T. O'Donovan , J. Debosscher , T. Brown , M. Lopez , P. Dubath , L. Rimoldini , D. Charbonneau , E. Dunham , G. Mandushev , D. R. Ciardi , J. De Ridder , C. Aerts

In this paper we present a novel algorithm and efficient data structure for anomaly detection based on temporal data. Time-series data are represented by a sequence of symbolic time intervals, describing increasing and decreasing trends, in…

Data Structures and Algorithms · Computer Science 2019-11-05 Roni Mateless , Michael Segal , Robert Moskovitch

Discoveries of RR Lyrae and Cepheid variable stars with multiple modes of pulsation have increased tremendously in recent years. The Fourier spectra of these stars can be quite complicated due to the large number of combination frequencies…

Solar and Stellar Astrophysics · Physics 2016-07-07 Earl P. Bellinger , Daniel Wysocki , Shashi M. Kanbur
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