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Related papers: Solving inverse problems with the unfolding progra…

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How to solve inverse problems is the challenge of many engineering and industrial applications. Recently, physics-informed neural networks (PINNs) have emerged as a powerful approach to solve inverse problems efficiently. However, it is…

Numerical Analysis · Mathematics 2022-09-22 Xinchao Jiang , Xin Wanga , Ziming Wena , Enying Li , Hu Wang

A selection of unfolding methods commonly used in High Energy Physics is compared. The methods discussed here are: bin-by-bin correction factors, matrix inversion, template fit, Tikhonov regularisation and two examples of iterative methods.…

Data Analysis, Statistics and Probability · Physics 2017-04-05 Stefan Schmitt

Unfolding problems often arise in the context of statistical data analysis. Such problematics occur when the probability distribution of a physical quantity is to be measured, but it is randomized (smeared) by some well understood process,…

Applications · Statistics 2016-12-09 Andras Laszlo

Runko is a new open-source plasma simulation framework implemented in C++ and Python. It is designed to function as an easy-to-extend general toolbox for simulating astrophysical plasmas with different theoretical and numerical models.…

Computational Physics · Physics 2022-08-10 J. Nättilä

Robust optimization is a framework for modeling optimization problems involving data uncertainty and during the last decades has been an area of active research. If we focus on linear programming (LP) problems with i) uncertain data, ii)…

Numerical Analysis · Computer Science 2017-02-15 Roberto Mínguez , Víctor Casero-Alonso

PyUnfold is a Python package for incorporating imperfections of the measurement process into a data analysis pipeline. In an ideal world, we would have access to the perfect detector: an apparatus that makes no error in measuring a desired…

Data Analysis, Statistics and Probability · Physics 2018-06-12 James Bourbeau , Zigfried Hampel-Arias

Recursive calls over recursive data are useful for generating probability distributions, and probabilistic programming allows computations over these distributions to be expressed in a modular and intuitive way. Exact inference is also…

Programming Languages · Computer Science 2023-03-28 David Chiang , Colin McDonald , Chung-chieh Shan

Astroparticle experiments such as IceCube or MAGIC require a deconvolution of their measured data with respect to the response function of the detector to provide the distributions of interest, e.g. energy spectra. In this paper,…

Instrumentation and Methods for Astrophysics · Physics 2016-07-26 Sabrina Einecke , Katharina Proksch , Nicolai Bissantz , Fabian Clevermann , Wolfgang Rhode

Repeated recursion unfolding is a new approach that repeatedly unfolds a recursion with itself and simplifies it while keeping all unfolded rules. Each unfolding doubles the number of recursive steps covered. This reduces the number of…

Programming Languages · Computer Science 2020-09-14 Thom Fruehwirth

Both automatic program verification and program transformation are based on program analysis. In the past decade a number of approaches using various automatic general-purpose program transformation techniques (partial deduction,…

Software Engineering · Computer Science 2015-12-15 Alexei P. Lisitsa , Andrei P. Nemytykh

In this paper, we describe TRIPs-Py, a new Python package of linear discrete inverse problems solvers and test problems. The goal of the package is two-fold: 1) to provide tools for solving small and large-scale inverse problems, and 2) to…

Numerical Analysis · Mathematics 2024-02-28 Mirjeta Pasha , Silvia Gazzola , Connor Sanderford , Ugochukwu O. Ugwu

The unfolding of detector effects is crucial for the comparison of data to theory predictions. While traditional methods are limited to representing the data in a low number of dimensions, machine learning has enabled new unfolding…

High Energy Physics - Phenomenology · Physics 2024-01-12 Mathias Backes , Anja Butter , Monica Dunford , Bogdan Malaescu

The inverse problem of identifying the unknown spacewise dependent source F(x) in 1D wave equation is considered. Measured data are taken in the form g(t) := u(0; t). The relationship between that problem and Ground Penetrating Radar (GRR)…

Numerical Analysis · Mathematics 2016-09-14 Balgaisha Mukanova , Vladimir G. Romanov

Adaptive Computing is an application-agnostic outer loop framework to strategically deploy simulations and experiments to guide decision making for scale-up analysis. Resources are allocated over successive batches, which makes the…

We propose a new method that uses deep learning techniques to solve the inverse problems. The inverse problem is cast in the form of learning an end-to-end mapping from observed data to the ground-truth. Inspired by the splitting strategy…

Computer Vision and Pattern Recognition · Computer Science 2017-12-04 Kai Fan , Qi Wei , Wenlin Wang , Amit Chakraborty , Katherine Heller

We present a Fortran 95 code for simulating the evolution of astrophysical systems using particles to represent the underlying fluid flow. The code is designed to be versatile, flexible and extensible, with modular options that can be…

Astrophysics · Physics 2009-10-02 M. Wetzstein , Andrew F. Nelson , T. Naab , A. Burkert

This paper proposes a new framework using physics-informed neural networks (PINNs) to simulate complex structural systems that consist of single and double beams based on Euler-Bernoulli and Timoshenko theory, where the double beams are…

Machine Learning · Computer Science 2023-09-26 Taniya Kapoor , Hongrui Wang , Alfredo Nunez , Rolf Dollevoet

The goal of unbounded program verification is to discover an inductive invariant that safely over-approximates all possible program behaviors. Functional languages featuring higher order and recursive functions become more popular due to…

Software Engineering · Computer Science 2017-04-18 Dmitry Mordvinov , Grigory Fedyukovich

Be it for a malicious or legitimate purpose, packing, a transformation that consists in applying various operations like compression or encryption to a binary file, i.e. for making reverse engineering harder or obfuscating code, is widely…

Cryptography and Security · Computer Science 2023-02-21 Alexandre D'Hondt , Charles-Henry Bertrand Van Ouytsel , Axel Legay

Unfolding in high energy physics represents the correction of measured spectra in data for the finite detector efficiency, acceptance, and resolution from the detector to particle level. Recent machine learning approaches provide unfolding…

High Energy Physics - Experiment · Physics 2021-08-04 Petr Baron