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When people evaluate the performance of a diagnostic test, it is important to control both True Positive Rate (TPR) and False Positive Rate (FPR). In the literature, most researchers propose the partial area under the ROC curve (pAUC) with…

Methodology · Statistics 2017-06-22 Hanfang Yang , Kun Lu , Xiang Lyu , Feifang Hu

We propose a novel method for blind bistatic radar parameter estimation (RPE), which enables integrated sensing and communications (ISAC) by allowing passive (receive) base stations (BSs) to extract radar parameters (ranges and velocities…

Signal Processing · Electrical Eng. & Systems 2024-08-29 Kuranage Roche Rayan Ranasinghe , Kengo Ando , Hyeon Seok Rou , Giuseppe Thadeu Freitas de Abreu , Andreas Bathelt

Phase retrieval (PR), also sometimes referred to as quadratic sensing, is a problem that occurs in numerous signal and image acquisition domains ranging from optics, X-ray crystallography, Fourier ptychography, sub-diffraction imaging, and…

Machine Learning · Computer Science 2020-06-25 Namrata Vaswani

Sparse and outlier-robust Principal Component Analysis (PCA) has been a very active field of research recently. Yet, most existing methods apply PCA to a single dataset whereas multi-source data-i.e. multiple related datasets requiring…

Methodology · Statistics 2026-02-26 Patricia Puchhammer , Ines Wilms , Peter Filzmoser

In a previous paper (Varadi et al., 1999), Random Lag Singular Spectrum Analysis was offered as a tool to find oscillations in very noisy and long time series. This work presents a generalization of the technique to search for common…

Astrophysics · Physics 2009-10-31 F. Varadi , R. K. Ulrich , L. Bertello , C. J. Henney

To deal with high-dimensional unlabeled datasets in many areas, principal component analysis (PCA) has become a rising technique for unsupervised feature selection (UFS). However, most existing PCA-based methods only consider the structure…

Optimization and Control · Mathematics 2025-08-15 Xianchao Xiu , Chenyi Huang , Pan Shang , Wanquan Liu

We introduce the Statistical Asynchronous Regression (SAR) method: a technique for determining a relationship between two time varying quantities without simultaneous measurements of both quantities. We require that there is a time…

Statistical Mechanics · Physics 2015-06-24 T. P. O'Brien , D. Sornette , R. L. McPherron

A standard assumption for causal inference about the joint effects of time-varying treatment is that one has measured sufficient covariates to ensure that within covariate strata, subjects are exchangeable across observed treatment values,…

Methodology · Statistics 2022-08-04 Andrew Ying , Wang Miao , Xu Shi , Eric J. Tchetgen Tchetgen

Stochastic Resonance (SR) and Coherence Resonance (CR) have been studied experimentally in the discharge plasma close to a homoclinic bifurcation. For the SR phenomena, it is observed that a superimposed subthreshold periodic signal can be…

Plasma Physics · Physics 2010-03-17 Md. Nurujjaman , A. N. Sekar Iyengar , Punit Parmananda

On the basis of our mixed-signal simulations we report significant stochastic resonance induced input-output signal improvement in the double-well system for aperiodic input types. We used a pulse train with randomised pulse locations and a…

Data Analysis, Statistics and Probability · Physics 2009-11-11 R Mingesz , Z Gingl , P Makra

Recently, the stochastic asymptotical regularization (SAR) has been developed in (\emph{Inverse Problems}, 39: 015007, 2023) for the uncertainty quantification of the stable approximate solution of linear ill-posed inverse problems. In this…

Numerical Analysis · Mathematics 2024-08-27 Haie Long , Ye Zhang

Classical methods such as Principal Component Analysis (PCA) and Canonical Correlation Analysis (CCA) are ubiquitous in statistics. However, these techniques are only able to reveal linear relationships in data. Although nonlinear variants…

Machine Learning · Statistics 2014-05-14 David Lopez-Paz , Suvrit Sra , Alex Smola , Zoubin Ghahramani , Bernhard Schölkopf

Purpose: subject motion and static field (B$_0$) drift are known to reduce the quality of single voxel MR spectroscopy data due to incoherent averaging. Retrospective correction has previously been shown to improve data quality by adjusting…

Quantitative Methods · Quantitative Biology 2018-09-17 Martin Wilson

We present a fast and transparent multi-variate event classification technique, called PDE-RS, which is based on sampling the signal and background densities in a multi-dimensional phase space using range-searching. The employed algorithm…

High Energy Physics - Experiment · Physics 2009-11-07 T. Carli , B. Koblitz

We present an extension to the robust phase estimation protocol, which can identify incorrect results that would otherwise lie outside the expected statistical range. Robust phase estimation is increasingly a method of choice for…

Information from frequency bands in biomedical time series provides useful summaries of the observed signal. Many existing methods consider summaries of the time series obtained over a few well-known, pre-defined frequency bands of…

Methodology · Statistics 2023-01-11 Raanju R. Sundararajan , Scott A. Bruce

Targeting the requirements of 6G, this paper investigates a semi-passive dual-reconfigurable intelligent surface (RIS)-assisted integrated sensing and communication (ISAC) system, tackling the max-min user signal-to-interference-plus-noise…

Information Theory · Computer Science 2026-03-24 Qing Xue , Yun Lan , Jiajia Guo , Qianbin Chen , Shaodan Ma

Automatic amortized resource analysis (AARA) is a type-based technique for inferring concrete (non-asymptotic) bounds on a program's resource usage. Existing work on AARA has focused on bounds that are polynomial in the sizes of the inputs.…

Programming Languages · Computer Science 2020-03-09 David M Kahn , Jan Hoffmann

Many data-science applications involve detecting a shared signal between two high-dimensional variables. Using random matrix theory methods, we determine when such signal can be detected and reconstructed from sample correlations, despite…

Disordered Systems and Neural Networks · Physics 2026-04-07 Arabind Swain , Sean Alexander Ridout , Ilya Nemenman

The success of the compressed sensing paradigm has shown that a substantial reduction in sampling and storage complexity can be achieved in certain linear and non-adaptive estimation problems. It is therefore an advisable strategy for…

Information Theory · Computer Science 2014-08-27 Peter Jung , Philipp Walk
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