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Principal Component Analysis (PCA) is a method for estimating a subspace given noisy samples. It is useful in a variety of problems ranging from dimensionality reduction to anomaly detection and the visualization of high dimensional data.…

Statistics Theory · Mathematics 2019-06-14 David Hong , Laura Balzano , Jeffrey A. Fessler

Chaos, or exponential sensitivity to small perturbations, appears everywhere in nature. Moreover, chaos is predicted to play diverse functional roles in living systems. A method for detecting chaos from empirical measurements should…

Quantitative Methods · Quantitative Biology 2020-01-13 Daniel Toker , Friedrich T. Sommer , Mark D'Esposito

We consider the problem of designing almost optimal predictors for dynamical systems from a finite sequence of noisy observations and incomplete knowledge of the dynamics and the noise. We first discuss the properties of the optimal (Bayes)…

Chaotic Dynamics · Physics 2007-07-30 Marian Anghel , Ingo Steinwart

We have experimentally realized an information engine consisting of an optically trapped, heavy bead in water. The device raises the trap center after a favorable "up" thermal fluctuation, thereby increasing the bead's average gravitational…

Statistical Mechanics · Physics 2023-04-11 Tushar K. Saha , Joseph N. E. Lucero , Jannik Ehrich , David A. Sivak , John Bechhoefer

Environmental seismic disturbances limit the sensitivity of LIGO gravitational wave detectors. Trains near the LIGO Livingston detector produce low frequency (0.5-10 Hz) ground noise that couples into the gravitational wave sensitive…

Instrumentation and Methods for Astrophysics · Physics 2023-11-29 Jane Glanzer , Siddharth Soni , Jaidyn Spoon , Anamaria Effler , Gabriela González

Safe Bayesian optimization (BO) with Gaussian processes is an effective tool for tuning control policies in safety-critical real-world systems, specifically due to its sample efficiency and safety guarantees. However, most safe BO…

Optimization and Control · Mathematics 2025-12-15 Abdullah Tokmak , Thomas B. Schön , Dominik Baumann

The application of unmanned aerial vehicles (UAVs) is surging across several industries, paralleled by growing demand for these UAVs. However, the noise emitted by UAVs remains a significant impediment to their widespread use even though in…

Fluid Dynamics · Physics 2025-03-18 Suryansh Prakhar , Jung-Hee Seo , Rajat Mittal

In theory, active control could be used to reduce the unwanted noise reflections from surfaces such as a submarine hull or the walls of an anechoic room. In the recent years, a real-time algorithm has been developed to this effect at the…

Classical Physics · Physics 2009-11-25 Emmanuel Friot , Alexandre Gintz

An efficient technique is introduced for model inference of complex nonlinear dynamical systems driven by noise. The technique does not require extensive global optimization, provides optimal compensation for noise-induced errors and is…

Data Analysis, Statistics and Probability · Physics 2007-05-23 V. N. Smelyanskiy , D. A. Timucin , A. Bandrivskyy , D. G. Luchinsky

The present study focuses on the unphysical effects induced by the use of non-uniform grids in the lattice Boltzmann method. In particular, the convection of vortical structures across a grid refinement interface is likely to generate…

Computational Physics · Physics 2020-07-15 Thomas Astoul , Gauhier Wissocq , Jean-François Boussuge , Alois Sengissen , Pierre Sagaut

We consider ECNoise, a practical tool for estimating the magnitude of noise in evaluations of a black-box function. Recent developments in numerical optimization algorithms have seen increased usage of ECNoise as a subroutine to provide a…

Optimization and Control · Mathematics 2024-01-22 Matt Menickelly

Analysis is presented of a system whose dynamics are dramatically simplified by tiny amounts of additive noise. The dynamics divide naturally into two phases. In the slower phase, trajectories are close to an invariant manifold; this allows…

adap-org · Physics 2008-02-03 G. D. Lythe

A key factor in ensuring the accuracy of computer simulations that model physical systems is the proper calibration of their parameters based on real-world observations or experimental data. Inevitably, uncertainties arise, and Bayesian…

Computational Engineering, Finance, and Science · Computer Science 2026-02-25 Daniel Andrés Arcones , Martin Weiser , Phaedon-Stelios Koutsourelakis , Jörg F. Unger

Calibration is nowadays one of the most important processes involved in the extraction of valuable data from measurements. The current availability of an optimum data cube measured from a heterogeneous set of instruments and surveys relies…

Instrumentation and Methods for Astrophysics · Physics 2012-08-13 Maria Jose Marquez

In order to analyze data produced by the kilometer-scale gravitational wave detectors that will begin operation early next century, one needs to develop robust statistical tools capable of extracting weak signals from the detector noise.…

General Relativity and Quantum Cosmology · Physics 2010-01-06 Jolien D. E. Creighton

The present study investigates the aerodynamic and aeroacoustic characteristics of a propeller operating under varying rotational speeds (RPM) and heights ("H" ), with a particular focus on the effects of upstream obstruction modelled as a…

Fluid Dynamics · Physics 2025-10-31 Qiyu Huang , Jingwen Deng , Zishuo Lin , Mahdi Azarpeyvand

The dynamical control of energy transfer between interacting systems is fundamental in diverse applications related to physical, electronic and chemical processes. Recent developments show that noise may enhance or suppress power transfer…

Optics · Physics 2021-03-19 P. Bravo-Cassab , B. Jaramillo-Ávila , B. M. Rodríguez-Lara

Phase transitions and effects of external noise on many body systems are one of the main topics in physics. In mean field coupled nonlinear dynamical stochastic systems driven by Brownian noise, various types of phase transitions including…

Statistical Mechanics · Physics 2015-05-13 Akihisa Ichiki , Masatoshi Shiino

Human factors, specifically visual impact and noise production, are the current main limitations for broader urban wind energy exploitation. Trailing edge noise, caused by the turbulent boundary layer interacting with the airfoil surface,…

Traveling waves are ubiquitous in nature and control the speed of many important dynamical processes, including chemical reactions, epidemic outbreaks, and biological evolution. Despite their fundamental role in complex systems, traveling…

Populations and Evolution · Quantitative Biology 2011-05-30 Oskar Hallatschek