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In this article, a general information-plus-noise transmission model is assumed, the receiver end of which is composed of a large number of sensors and is unaware of the noise pattern. For this model, and under reasonable assumptions, a set…

Information Theory · Computer Science 2015-06-12 Julia Vinogradova , Romain Couillet , Walid Hachem

The research reported in this paper addresses the fundamental task of separation of locally moving or deforming image areas from a static or globally moving background. It builds on the latest developments in the field of robust principal…

Computer Vision and Pattern Recognition · Computer Science 2016-03-21 Salehe Erfanian Ebadi , Valia Guerra Ones , Ebroul Izquierdo

Principal component analysis (PCA) is commonly used in genetics to infer and visualize population structure and admixture between populations. PCA is often interpreted in a way similar to inferred admixture proportions, where it is assumed…

Methodology · Statistics 2023-02-10 Jan van Waaij , Song Li , Genís Garcia-Erill , Anders Albrechtsen , Carsten Wiuf

We present a spectrogram separation method tailored for mixtures comprising two nonstationary components. By exploiting the unique characteristics of their time-frequency representations, we propose an inverse problem formulation to…

Signal Processing · Electrical Eng. & Systems 2024-06-26 Adrien Meynard , Ama Marina Kreme

As a seminal tool in self-supervised representation learning, contrastive learning has gained unprecedented attention in recent years. In essence, contrastive learning aims to leverage pairs of positive and negative samples for…

Machine Learning · Computer Science 2022-02-01 Ching-Yun Ko , Jeet Mohapatra , Sijia Liu , Pin-Yu Chen , Luca Daniel , Lily Weng

The design of RFIC often involves exploring a large number of design variations in an invariant background composed of the processing stack and unchanged circuit blocks. Conventional electromagnetic solvers require a full-domain simulation…

Computational Physics · Physics 2026-02-26 Hongyang Liu , Dan Jiao

Supervised learning methods with missing data have been extensively studied not just due to the techniques related to low-rank matrix completion. Also in unsupervised learning one often relies on imputation methods. As a matter of fact,…

Statistics Theory · Mathematics 2018-11-27 Andreas Elsener , Sara van de Geer

How much does a single image reveal about the environment it was taken in? In this paper, we investigate how much of that information can be retrieved from a foreground object, combined with the background (i.e. the visible part of the…

Computer Vision and Pattern Recognition · Computer Science 2017-08-02 Stamatios Georgoulis , Konstantinos Rematas , Tobias Ritschel , Mario Fritz , Tinne Tuytelaars , Luc Van Gool

Recently years, the attempts on distilling mobile data into useful knowledge has been led to the deployment of machine learning algorithms at the network edge. Principal component analysis (PCA) is a classic technique for extracting the…

Information Theory · Computer Science 2022-04-04 Zezhong Zhang , Guangxu Zhu , Rui Wang , Vincent K. N. Lau , Kaibin Huang

Future high-sensitivity measurements of the cosmic microwave background (CMB) anisotropies and energy spectrum will be limited by our understanding and modeling of foregrounds. Not only does more information need to be gathered and…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-20 Jens Chluba , J. Colin Hill , Maximilian H. Abitbol

We formulate coherence modeling as a regression task and propose two novel methods to combine techniques from our setup with pairwise approaches. The first of our methods is a model that we call "first-next," which operates similarly to…

Computation and Language · Computer Science 2018-12-13 David McClure , Shayne O'Brien , Deb Roy

We pursue a novel morphometric analysis to detect sources in very-high-energy gamma-ray counts maps by structural deviations from the background noise. Because the Minkowski functionals from integral geometry quantify the shape of the…

Instrumentation and Methods for Astrophysics · Physics 2017-10-11 Michael A. Klatt , Klaus Mecke

In many scientific disciplines, the features of interest cannot be observed directly, so must instead be inferred from observed behaviour. Latent variable analyses are increasingly employed to systematise these inferences, and Principal…

Difficulties may arise when analyzing longitudinal data using mixed-effects models if there are nonparametric functions present in the linear predictor component. This study extends the use of semiparametric mixed-effects modeling in cases…

Methodology · Statistics 2024-02-05 Mozhgan Taavoni , Mohammad Arashi

A method is presented for estimating the background at a given location on a sky map by interpolating the estimated background from a set of concentric annuli which surround this location. If the background is nonuniform but smoothly…

Astrophysics · Physics 2009-10-30 James Theiler , Jeff Bloch

We propose novel methods for predictive (sparse) PCA with spatially misaligned data. These methods identify principal component loading vectors that explain as much variability in the observed data as possible, while also ensuring the…

Methodology · Statistics 2015-09-04 Roman A. Jandarov , Lianne A. Sheppard , Paul D. Sampson , Adam A. Szpiro

The prevalence of null results in searches for new physics at the LHC motivates the effort to make these searches as model-independent as possible. We describe procedures for adapting the Matrix Element Method for situations where the…

High Energy Physics - Phenomenology · Physics 2015-06-19 Dipsikha Debnath , James S. Gainer , Konstantin T. Matchev

This paper studies the principal component (PC) method-based estimation of weak factor models with sparse loadings. We uncover an intrinsic near-sparsity preservation property for the PC estimators of loadings, which comes from the…

Econometrics · Economics 2024-11-08 Jie Wei , Yonghui Zhang

We study the RPA equations in their most general form by taking the matrix elements appearing in the RPA equations as random. This yields either a unitarily or an orthogonally invariant random-matrix model which is not of the Cartan type.…

Nuclear Theory · Physics 2009-08-05 X. Barillier-Pertuisel , O. Bohigas , H. A. Weidenmueller

This work is concerned with the detection of a mixture distribution from a $\mathbb{R}$-valued sample. Given a sample $X_1,\dots,X_n$ and an even density $\phi$, our aim is to detect whether the sample distribution is $\phi(\cdot-\mu)$ for…

Statistics Theory · Mathematics 2016-01-22 Béatrice Laurent , Clément Marteau , Cathy Maugis-Rabusseau
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