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We consider two variables that are related to each other by an invertible function. While it has previously been shown that the dependence structure of the noise can provide hints to determine which of the two variables is the cause, we…

We consider the problem of locating the source (starting vertex) of a simple random walk, given a snapshot of the set of edges (or vertices) visited in the first $n$ steps. Considering lattices $\mathbb{Z}^d$, in dimensions $d \geq 5$, we…

Probability · Mathematics 2026-01-16 Ritesh Goenka , Peter Keevash , Tomasz Przybyłowski

The method of location and spectral estimation of weak signals on a noise background is being considered. The method is based on the optimized on order and noise dispersion autoregressive model of a sought signal. A new approach of model…

Computational Engineering, Finance, and Science · Computer Science 2007-07-03 Yu. Bunyak , O. Bunyak

We focus on the problem estimating a monotone trend function under additive and dependent noise. New point-wise confidence interval estimators under both short- and long-range dependent errors are introduced and studied. These intervals are…

Statistics Theory · Mathematics 2016-02-23 Pramita Bagchi , Moulinath Banerjee , Stilian Stoev

In this article we study two problems that arise when using timing and amplitude estimates from a network of interferometers (IFOs) to evaluate the direction of an incident gravitational wave burst (GWB). First, we discuss an angular bias…

General Relativity and Quantum Cosmology · Physics 2009-01-08 J. Markowitz , M. Zanolin , L. Cadonati , E. Katsavounidis

A reliable inference of networks from data is of key interest in the Neurosciences. Several methods have been suggested in the literature to reliably determine links in a network. To decide about the presence of links, these techniques rely…

Physics and Society · Physics 2018-06-29 Gloria Cecchini , Marco Thiel , Bjoern Schelter , Linda Sommerlade

Detecting the presence of multiple incoherent sources is a fundamental and challenging task for quantum imaging, especially within sub-Rayleigh region. In this paper, the discrimination of one-versus-two point-like incoherent sources in…

Quantum Physics · Physics 2024-11-06 Jian-Dong Zhang , Mei-Ming Zhang , Chuang Li , Shuai Wang

High impedance fault (HIF) has been a challenging task to detect in distribution networks. On one hand, although several types of HIF models are available for HIF study, they are still not exhibiting satisfactory fault waveforms. On the…

Signal Processing · Electrical Eng. & Systems 2018-08-15 Qiushi Cui , Khalil El-Arroudi , Yang Weng

With the growth of the internet, the number of fake-news online has been proliferating every year. The consequences of such phenomena are manifold, ranging from lousy decision-making process to bullying and violence episodes. Therefore,…

Information Retrieval · Computer Science 2018-09-05 Diego Esteves , Aniketh Janardhan Reddy , Piyush Chawla , Jens Lehmann

We analyze the fundamental resolution of incoherent optical point sources from the perspective of a quantum detection problem: deciding whether the optical field on the image plane is generated by one source or two weaker sources with…

Quantum Physics · Physics 2019-11-07 Xiao-Ming Lu , Ranjith Nair , Mankei Tsang

Despite the recent trend of developing and applying neural source code models to software engineering tasks, the quality of such models is insufficient for real-world use. This is because there could be noise in the source code corpora used…

Software Engineering · Computer Science 2022-10-04 Anh T. V. Dau , Thang Nguyen-Duc , Hoang Thanh-Tung , Nghi D. Q. Bui

Utilizing the hyperspace of noise-based logic, we show two string verification methods with low communication complexity. One of them is based on continuum noise-based logic. The other one utilizes noise-based logic with random telegraph…

Information Theory · Computer Science 2011-02-10 Laszlo B. Kish , Sunil Khatri , Tamas Horvath

Understanding and dealing with inference biases in gravitational-wave (GW) parameter estimation when a plethora of signals are present in the data is one of the key challenges for the analysis of data from future GW detectors. Working…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Andrea Antonelli , Ollie Burke , Jonathan R. Gair

In reliability-based design, the estimation of the failure probability is a crucial objective. However, focusing only on the occurrence of the failure event may be insufficient to entirely characterize the reliability of the considered…

Statistics Theory · Mathematics 2020-10-08 Pierre Derennes , Jerome Morio , Florian Simatos

Business processes are bound to evolve as a form of adaption to changes, and such changes are referred as process drifts. Current process drift detection methods perform well on clean event log data, but the performance can be tremendously…

Software Engineering · Computer Science 2022-02-23 Yang Lu , Qifan Chen , Simon Poon

A fundamental problem in data fusion is to determine the veracity of multi-source data in order to resolve conflicts. While previous work in truth discovery has proved to be useful in practice for specific settings, sources' behavior or…

Databases · Computer Science 2014-09-24 Dalia Attia Waguih , Laure Berti-Equille

We develop a framework for localized source detection in dynamical systems governed by nonlinear partial differential equations based on first and second-order sensitivity analysis. Building on the standard adjoint formulation, which…

Fluid Dynamics · Physics 2026-05-18 Qi Wang , Zejian You

We present a method for the in-flight relative flux self-calibration of a spectro-photometer instrument, general enough to be applied to any upcoming galaxy survey on satellite. The instrument response function, that accounts for a smooth…

Instrumentation and Methods for Astrophysics · Physics 2021-08-25 S. Davini , I. Risso , M. Scodeggio , L. Paganin , S. Caprioli , M. Bonici , A. Caminata , S. Di Domizio , G. Testera , S. Tosi , B. Valerio , M. Fumana , P. Franzetti

We present a filter for detecting gravitational wave signals from burst sources. This filter requires only minimal advance knowledge of the expected signal: i.e. the signal's frequency band and time duration. It consists of a threshold on…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Warren G. Anderson , Patrick R. Brady , Jolien D. E. Creighton , Eanna E. Flanagan

We propose a scheme utilizing ideas from infinite dimensional compressed sensing for thermal source localization. Using the soft recovery framework of one of the authors, we provide rigorous theoretical guarantees for the recovery…

Signal Processing · Electrical Eng. & Systems 2017-10-06 Axel Flinth , Ali Hashemi