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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

Supervised learning on graphs is a challenging task due to the high dimensionality and inherent structural dependencies in the data, where each edge depends on a pair of vertices. Existing conventional methods are designed for standard…

Methodology · Statistics 2024-06-27 Cencheng Shen , Shangsi Wang , Alexandra Badea , Carey E. Priebe , Joshua T. Vogelstein

\begin{abstract} The advent of multitemporal high resolution data, like the Copernicus Sentinel-2, has enhanced significantly the potential of monitoring the earth's surface and environmental dynamics. In this paper, we present a novel deep…

Computer Vision and Pattern Recognition · Computer Science 2019-10-18 Maria Papadomanolaki , Sagar Verma , Maria Vakalopoulou , Siddharth Gupta , Konstantinos Karantzalos

Time-series photometry and spectroscopy of transiting exoplanets allow us to study their atmospheres. Unfortunately, the required precision to extract atmospheric information surpasses the design specifications of most general purpose…

Earth and Planetary Astrophysics · Physics 2015-09-14 Neale P. Gibson

We present a comparison of four methods of filtering solar-like variability to increase the efficiency of detection of Earth-like planetary transits by means of box-shaped transit finder algorithms. Two of these filtering methods are the…

Astrophysics · Physics 2009-11-13 A. S. Bonomo , S. Aigrain , P. Bordé , A. F. Lanza

The estimation of periodicity is a fundamental task in many scientific areas of study. Existing methods rely on theoretical assumptions that the observation times have equal or i.i.d. spacings, and that common estimators, such as the…

Methodology · Statistics 2021-06-01 Panos Toulis , Jacob Bean

The DEEP-South photometric census of small Solar System bodies produces massive time-series data of variable, transient or moving objects as a by-product. To fully investigate unexplored variable phenomena, we present an application of…

Instrumentation and Methods for Astrophysics · Physics 2018-10-09 Seo-Won Chang , Yong-Ik Byun , Min-Su Shin , Hahn Yi , Myung-Jin Kim , Hong-Kyu Moon , Young-Jun Choi , Sang-Mok Cha , Yongseok Lee

The use of data assimilation for the merging of observed data with dynamical models is becoming standard in modern physics. If a parametric model is known, methods such as Kalman filtering have been developed for this purpose. If no model…

Data Analysis, Statistics and Probability · Physics 2018-01-17 Franz Hamilton , Tyrus Berry , Timothy Sauer

A novel hierarchical search technique is presented for all-sky surveys for continuous gravitational-wave sources, such as rapidly spinning nonaxisymmetric neutron stars. Analyzing yearlong detector data sets over realistic ranges of…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Holger J. Pletsch

We report on the construction of a deep convolutional neural network that can reproduce the sensitivity of a matched-filtering search for binary black hole gravitational-wave signals. The standard method for the detection of well modeled…

Instrumentation and Methods for Astrophysics · Physics 2018-04-11 Hunter Gabbard , Michael Williams , Fergus Hayes , Chris Messenger

Compared with linear time invariant systems, linear periodic system can describe the periodic processes arising from nature and engineering more precisely. However, the time-varying system parameters increase the difficulty of the research…

Signal Processing · Electrical Eng. & Systems 2023-03-16 Jiachen Qian , Zhisheng Duan , Peihu Duan , Zhongkui Li

Many control and detection applications require real-time analysis of signals from sensors, in order to quickly and accurately act upon events revealed by the sensors. Such signal analysis benefits from statistical models of signal and…

The problem of detection and possible estimation of a signal generated by a dynamic system when a variable number of noisy measurements can be taken is here considered. Assuming a Markov evolution of the system (in particular, the pair…

Information Theory · Computer Science 2022-05-12 Emanuele Grossi , Marco Lops

The search for gravitational-wave signals in detector data is often hampered by the fact that many data analysis methods are based on the theory of stationary Gaussian noise, while actual measurement data frequently exhibit clear departures…

Data Analysis, Statistics and Probability · Physics 2011-12-30 Christian Röver

In this paper, we consider the problem of detecting signals in multiple, sequentially observed data streams. For each stream, the exact distribution is unknown, but characterized by a parameter that takes values in either of two disjoint…

Methodology · Statistics 2025-07-30 Yiming Xing , Anamitra Chaudhuri , Yifan Chen

Adaptive sampling theory has shown that, with proper assumptions on the signal class, algorithms exist to reconstruct a signal in $\mathbb{R}^{d}$ with an optimal number of samples. We generalize this problem to the case of spatial signals,…

Machine Learning · Statistics 2017-02-20 John Lipor , Brandon Wong , Donald Scavia , Branko Kerkez , Laura Balzano

Time-lapse seismic data acquisition is an essential tool to monitor changes in a reservoir due to fluid injection, such as CO$_2$ injection. By acquiring multiple seismic surveys in the exact location, we can identify the reservoir changes…

Geophysics · Physics 2022-04-05 Abdullah Alali , Vladimir Kazei , Bingbing Sun , Tariq Alkhalifah

We construct a statistic and null test for examining the stationarity of time-series of discrete symbols: whether two data streams appear to originate from the same underlying unknown dynamical system, and if any difference is statistically…

chao-dyn · Physics 2007-05-23 Matthew B. Kennel , Alistair I. Mees

Thanks to high-tech measurement systems like sensors, data are often collected with high frequency in modern industrial processes. This phenomenon could potentially produce autocorrelated and cross-correlated measurements. It has been shown…

Methodology · Statistics 2025-01-22 Adel Ahmadi Nadi , Giovanni Celano , Stefan Steiner

How long after the merger of two black holes can one rely on linear perturbation theory, and how many quasinormal modes are in the ringdown? Such questions suggest that black hole spectroscopy suffers from systematic uncertainties that…

General Relativity and Quantum Cosmology · Physics 2025-10-30 Sebastian H. Völkel , Arnab Dhani
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