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Consider a set of multiple, multimodal sensors capturing a complex system or a physical phenomenon of interest. Our primary goal is to distinguish the underlying sources of variability manifested in the measured data. The first step in our…

Computer Vision and Pattern Recognition · Computer Science 2016-11-28 Vardan Papyan , Ronen Talmon

We study the classical problem of recovering a multidimensional source signal from observations of nonlinear mixtures of this signal. We show that this recovery is possible (up to a permutation and monotone scaling of the source's original…

Machine Learning · Statistics 2023-01-18 Alexander Schell , Harald Oberhauser

We develop a fast phase retrieval method which can utilize a large class of local phaseless correlation-based measurements in order to recover a given signal ${\bf x} \in \mathbb{C}^d$ (up to an unknown global phase) in near-linear…

Numerical Analysis · Mathematics 2016-07-12 Mark Iwen , Aditya Viswanathan , Yang Wang

Because of the mass gap, lattice QCD simulations exhibit stochastic locality: distant regions of the lattice fluctuate independently. There is a long history of exploiting this to increase statistics by obtaining multiple…

High Energy Physics - Lattice · Physics 2023-12-01 Mattia Bruno , Marco Cè , Anthony Francis , Patrick Fritzsch , Jeremy R. Green , Maxwell T. Hansen , Antonio Rago

A novel stochastic technique combining a dilute source grid of $\mathbb{Z}_3$ noise with iterative momentum-smearing is used to study the proton correlation function at rest and in boosted frames on two lattice volumes. The technique makes…

High Energy Physics - Lattice · Physics 2018-12-05 J. -J. Wu , W. Kamleh , D. ~B. Leinweber , R. D. Young , J. M. Zanotti

Analog-to-digital (A/D) converters are the common interface between analog signals and the domain of digital discrete-time signal processing. In essence, this domain simultaneously incorporates quantization both in amplitude and time, i.e.…

Signal Processing · Electrical Eng. & Systems 2019-03-29 Pablo Martínez-Nuevo , Alan. V. Oppenheim

Despite its reduced complexity, lattice reduction-aided decoding exhibits a widening gap to maximum-likelihood (ML) performance as the dimension increases. To improve its performance, this paper presents randomized lattice decoding based on…

Information Theory · Computer Science 2016-11-17 Shuiyin Liu , Cong Ling , Damien Stehlé

The paper studies identification of linear systems with multiplicative noise from multiple-trajectory data. An algorithm based on the least-squares method and multiple-trajectory data is proposed for joint estimation of the nominal system…

Systems and Control · Electrical Eng. & Systems 2022-06-07 Yu Xing , Benjamin Gravell , Xingkang He , Karl Henrik Johansson , Tyler Summers

Environments with immobile obstacles or void regions that inhibit and alter the motion of individuals within that environment are ubiquitous. Correlation in the location of individuals within such environments arises as a combination of the…

Statistics Theory · Mathematics 2019-03-27 Stuart T. Johnston , Edmund J. Crampin

New or enlarged symmetries can emerge at the low-energy spectrum of a Hamiltonian that does not possess the symmetries, if the symmetry breaking terms in the Hamiltonian are irrelevant under the renormalization group flow. In this letter,…

Strongly Correlated Electrons · Physics 2023-11-28 Mingru Yang , Bram Vanhecke , Norbert Schuch

The reconstruction of spectral functions from Euclidean correlation functions is a well-known, yet ill-posed inverse problem in the fields of many-body and high-energy physics. In this paper, we present a comprehensive investigation of two…

High Energy Physics - Lattice · Physics 2024-04-02 Li Huang , Shuang Liang

Using random matrix technique we determine an exact relation between the eigenvalue spectrum of the covariance matrix and of its estimator. This relation can be used in practice to compute eigenvalue invariants of the covariance…

Statistical Mechanics · Physics 2010-01-15 Z. Burda , A. Goerlich , A. Jarosz , J. Jurkiewicz

Employing both Bayesian statistics and the theory of nonlinear dynamics, we present a practically efficient method to extract a phase description of weakly coupled limit-cycle oscillators directly from time series observed in a rhythmic…

Adaptation and Self-Organizing Systems · Physics 2014-05-19 Kaiichiro Ota , Toshio Aoyagi

Fast and accurate unveiling of power line outages is of paramount importance not only for preventing faults that may lead to blackouts, but also for routine monitoring and control tasks of the smart grid, including state estimation and…

Systems and Control · Computer Science 2015-03-19 Hao Zhu , Georgios B. Giannakis

Extracting relevant properties of empirical signals generated by nonlinear, stochastic, and high-dimensional systems is a challenge of complex systems research. Open questions are how to differentiate chaotic signals from stochastic ones,…

Data Analysis, Statistics and Probability · Physics 2021-07-08 B. R. R. Boaretto , R. C. Budzinski , K. L. Rossi , T. L. Prado , S. R. Lopes , C. Masoller

In multiple-input multiple-output (MIMO) fading channels maximum likelihood (ML) detection is desirable to achieve high performance, but its complexity grows exponentially with the spectral efficiency. The current state of the art in MIMO…

Information Theory · Computer Science 2007-07-13 Massimiliano Siti , Michael P. Fitz

A novel method for extracting physical parameters from experimental and simulation data is presented. The method is based on statistical concepts and it relies on Monte Carlo simulation techniques. It identifies and determines with maximal…

High Energy Physics - Phenomenology · Physics 2012-05-31 C. N. Papanicolas , E. Stiliaris

Objective: Mixtures of temporally nonstationary signals are very common in biomedical applications. The nonstationarity of the source signals can be used as a discriminative property for signal separation. Herein, a semi-blind source…

Signal Processing · Electrical Eng. & Systems 2021-08-24 Fahimeh Jamshidian-Tehrani , Reza Sameni , Christian Jutten

In lattice QCD spectrum calculations, it is desirable to obtain multiple excited state energies in each symmetry channel. Typically, one constructs several interpolating operators for the symmetry channel of interest, forms the `correlator…

High Energy Physics - Lattice · Physics 2008-11-26 Adam C. Lichtl

Nuclear lattice effective field theory (NLEFT) provides an efficient ab initio framework for computing low-lying states via imaginary-time projection. However, the extraction of unstable resonances, especially those with broad widths,…

Nuclear Theory · Physics 2026-04-02 Zhong-Wang Niu , Shi-Sheng Zhang , Bing-Nan Lu