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We study super-resolution multi-reference alignment, the problem of estimating a signal from many circularly shifted, down-sampled, and noisy observations. We focus on the low SNR regime, and show that a signal in $\mathbb{R}^M$ is uniquely…

Information Theory · Computer Science 2020-11-10 Tamir Bendory , Ariel Jaffe , William Leeb , Nir Sharon , Amit Singer

Uncertain data streams have been widely generated in many Web applications. The uncertainty in data streams makes anomaly detection from sensor data streams far more challenging. In this paper, we present a novel framework that supports…

Artificial Intelligence · Computer Science 2016-07-21 Jiangang Ma , Le Sun , Hua Wang , Yanchun Zhang , Uwe Aickelin

The need to Fourier transform data sets with irregular sampling is shared by various domains of science. This is the case for example in astronomy or sismology. Iterative methods have been developed that allow to reach approximate…

Numerical Analysis · Mathematics 2024-01-23 Guy Perrin

This paper investigates unsupervised anomaly detection in multivariate time-series data using reinforcement learning (RL) in the latent space of an autoencoder. A significant challenge is the limited availability of anomalous data, often…

Machine Learning · Computer Science 2025-02-11 Saba Sanami , Amir G. Aghdam

One of the main limitations for the resolution of optical instruments is the size of the sensor's pixels. In this paper we introduce a new sub pixel resolution algorithm to enhance the resolution of images. This method is based on the…

Instrumentation and Detectors · Physics 2012-11-12 Siamak Khademi , Ahmad Darudi , Zahra Abbasi

Recently, sparsity-based algorithms are proposed for super-resolution spectrum estimation. However, to achieve adequately high resolution in real-world signal analysis, the dictionary atoms have to be close to each other in frequency,…

Machine Learning · Statistics 2015-06-05 Yiyuan She , Huanghuang Li , Jiangping Wang , Dapeng Wu

Mobile health has emerged as a major success for tracking individual health status, due to the popularity and power of smartphones and wearable devices. This has also brought great challenges in handling heterogeneous, multi-resolution data…

Methodology · Statistics 2024-05-31 Jiuchen Zhang , Fei Xue , Qi Xu , Jung-Ah Lee , Annie Qu

There exist several methods developed for the canonical change point problem of detecting multiple mean shifts, which search for changes over sections of the data at multiple scales. In such methods, estimation of the noise level is often…

Methodology · Statistics 2022-11-07 Euan T. McGonigle , Haeran Cho

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

Many models of physics beyond the Standard Model include towers of particles whose masses follow an approximately periodic pattern with little spacing between them. These resonances might be too weak to detect individually, but could be…

High Energy Physics - Phenomenology · Physics 2020-03-18 Hugues Beauchesne , Yevgeny Kats

We propose an outlier robust multivariate time series model which can be used for detecting previously unseen anomalous sounds based on noisy training data. The presented approach doesn't assume the presence of labeled anomalies in the…

Sound · Computer Science 2022-02-07 Wo Jae Lee , Karim Helwani , Arvindh Krishnaswamy , Srikanth Tenneti

Many real-world phenomena are observed at multiple resolutions. Predictive models designed to predict these phenomena typically consider different resolutions separately. This approach might be limiting in applications where predictions are…

Machine Learning · Computer Science 2020-01-07 Guruprasad Nayak , Rahul Ghosh , Xiaowei Jia , Varun Mithal , Vipin Kumar

Anomaly detection in time-series has a wide range of practical applications. While numerous anomaly detection methods have been proposed in the literature, a recent survey concluded that no single method is the most accurate across various…

Machine Learning · Computer Science 2023-03-14 Mononito Goswami , Cristian Challu , Laurent Callot , Lenon Minorics , Andrey Kan

Stochastic resonance (SR), a phenomenon originally introduced in climate modeling, enhances signal detection by leveraging optimal noise levels within non-linear systems. Traditional SR techniques, mainly based on single-threshold…

Signal Processing · Electrical Eng. & Systems 2025-10-27 Dixon Vimalajeewa , Ursula U. Muller , Brani Vidakovic

An original multiplex scheme is introduced, which is based on Mallat's multiresolution formulation of wavelet systems. This system is adaptable and its implementation is well matched to digital signal processors and computers. The approach…

Information Theory · Computer Science 2015-02-13 H. M. de Oliveira , E. A. Bouton

Irregularly sampled time series are increasingly prevalent, particularly in medical domains. While various specialized methods have been developed to handle these irregularities, effectively modeling their complex dynamics and pronounced…

Machine Learning · Computer Science 2023-11-01 Zekun Li , Shiyang Li , Xifeng Yan

A new, computationally- and statistically-efficient algorithm, the Fast $\chi^2$ algorithm, can find a periodic signal with harmonic content in irregularly-sampled data with non-uniform errors. The algorithm calculates the minimized…

Data Analysis, Statistics and Probability · Physics 2009-04-17 David M. Palmer

The extensive emergence of big data techniques has led to an increasing interest in the development of change-point detection algorithms that can perform well in a multivariate, possibly high-dimensional setting. In the current paper, we…

Methodology · Statistics 2022-11-15 Andreas Anastasiou , Angelos Papanastasiou

Recent advances have demonstrated the possibility of solving the deconvolution problem without prior knowledge of the noise distribution. In this paper, we study the repeated measurements model, where information is derived from multiple…

Statistics Theory · Mathematics 2024-09-04 Jérémie Capitao-Miniconi , Elisabeth Gassiat , Luc Lehéricy

Multivariate time series (MTS) anomaly detection identifies abnormal patterns where each timestamp contains multiple variables. Existing MTS anomaly detection methods fall into three categories: reconstruction-based, prediction-based, and…

Machine Learning · Computer Science 2025-10-03 Yuanyuan Yao , Yuhan Shi , Lu Chen , Ziquan Fang , Yunjun Gao , Leong Hou U , Yushuai Li , Tianyi Li
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