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In this paper, we analyze the finite sample complexity of stochastic system identification using modern tools from machine learning and statistics. An unknown discrete-time linear system evolves over time under Gaussian noise without…

Machine Learning · Computer Science 2019-03-22 Anastasios Tsiamis , George J. Pappas

In contemporary magnetic confinement devices, the density distribution is sensed with interferometers and actuated with feedback controlled gas injection and open-loop pellet injection. This is at variance with the density control for ITER…

Plasma Physics · Physics 2021-10-29 T. O. S. J. Bosman , M. van Berkel , M. R. de Baar

We present a method for radical linear compression of datasets where the data are dependent on some number $M$ of parameters. We show that, if the noise in the data is independent of the parameters, we can form $M$ linear combinations of…

Astrophysics · Physics 2009-10-31 Alan Heavens , Raul Jimenez , Ofer Lahav

Neural simulation-based inference is a powerful class of machine-learning-based methods for statistical inference that naturally handles high-dimensional parameter estimation without the need to bin data into low-dimensional summary…

Data Analysis, Statistics and Probability · Physics 2025-06-16 ATLAS Collaboration

We propose a collective Thomson scattering experiment at the VUV free electron laser facility at DESY (FLASH) which aims to diagnose warm dense matter at near-solid density. The plasma region of interest marks the transition from an ideal…

Plasma Physics · Physics 2015-06-26 A. Hoell

We show that density models describing multiple observables with (i) hard boundaries and (ii) dependence on external parameters may be created using an auto-regressive Gaussian mixture model. The model is designed to capture how observable…

Data Analysis, Statistics and Probability · Physics 2022-02-01 Stephen B. Menary , Darren D. Price

Stochastic spectral methods have become a popular technique to quantify the uncertainties of nano-scale devices and circuits. They are much more efficient than Monte Carlo for certain design cases with a small number of random parameters.…

Computational Engineering, Finance, and Science · Computer Science 2016-03-22 Zheng Zhang , Tsui-Wei Weng , Luca Daniel

We predict the emergence of novel collective electronic excitations in warm dense matter with an inhomogeneous electronic structure based on first-principles calculations. The emerging modes are controlled by the imposed perturbation…

Plasma Physics · Physics 2022-01-21 Zh. A. Moldabekov , T. Dornheim , A. Cangi

The problem of the determination of the charge density from limited information about the charge form factor is an ill-posed inverse problem. A Bayesian probabilistic approach to this problem which permits to take into account both errors…

Data Analysis, Statistics and Probability · Physics 2007-05-23 A. Mohammad-Djafari , H. G. Miller

Since the mass of the electron is very small relative to atomic masses, Thomson scattering of low-energy photons ($h\nu \ll m_ec^2$) produces thermal Doppler frequency shifts that are much larger than atomic Doppler widths. A method is…

Astrophysics · Physics 2011-05-23 G. B. Rybicki , D. G. Hummer

The detectors in mass spectrometers are precise enough to count ion events. In practice, the statistics of chemical noise are affected by large quantization errors and overdispersion because of amplification in the detector. The detector…

Discrete Mathematics · Computer Science 2009-06-02 Sébastien Li-Thiao-Té

Intensity estimation for Poisson processes is a classical problem and has been extensively studied over the past few decades. Practical observations, however, often contain compositional noise, i.e. a nonlinear shift along the time axis,…

Methodology · Statistics 2019-09-25 Glenna Schluck , Wei Wu , Anuj Srivastava

We present a machine learning algorithm for the prediction of molecule properties inspired by ideas from density functional theory. Using Gaussian-type orbital functions, we create surrogate electronic densities of the molecule from which…

Chemical Physics · Physics 2019-11-27 Michael Eickenberg , Georgios Exarchakis , Matthew Hirn , Stéphane Mallat , Louis Thiry

Wearable devices permit the continuous monitoring of biological processes, such as blood glucose metabolism, and behavior, such as sleep quality and physical activity. The continuous monitoring often occurs in epochs of 60 seconds over…

Methodology · Statistics 2024-04-23 Yuanyuan Luan , Roger S. Zoh , Erjia Cui , Xue Lan , Sneha Jadhav , Carmen D. Tekwe

Tilt-to-length (TTL) noise induced by angular jitter of spacecraft and test masses can affect the sensitivity of space-based gravitational-wave detectors such as LISA, Taiji, and TianQin. Such angular jitter can be measured using the…

General Relativity and Quantum Cosmology · Physics 2026-02-09 Xue Wang , Gang Wang

Describing the evolution of quantum systems by means of non-Hermitian generators opens a new avenue to explore the dynamical properties naturally emerging in such a picture, e.g. operation at the so-called exceptional points, preservation…

Quantum Physics · Physics 2023-12-01 Javid Naikoo , Ravindra W. Chhajlany , Jan Kolodynski

A distributed inference scheme which uses bounded transmission functions over a Gaussian multiple access channel is considered. When the sensor measurements are decreasingly reliable as a function of the sensor index, the conditions on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-16 Sivaraman Dasarathan , Cihan Tepedelenlioglu

This article presents an algorithm for reducing measurement uncertainty of one physical quantity when given oversampled measurements of two physical quantities with correlated noise. The algorithm assumes that the aleatoric measurement…

Signal Processing · Electrical Eng. & Systems 2021-11-30 James T. Meech , Phillip Stanley-Marbell

We introduce a new approach for estimating the invariant density of a multidimensional diffusion when dealing with high-frequency observations blurred by independent noises. We consider the intermediate regime, where observations occur at…

Statistics Theory · Mathematics 2024-04-19 Raphaël Maillet , Grégoire Szymanski

The impressive growth of data throughput in optical microscopy has triggered a widespread use of supervised learning (SL) models running on compressed image datasets for efficient automated analysis. However, since lossy image compression…