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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

We present a novel Learning from Demonstration (LfD) method, Deformable Manipulation from Demonstrations (DMfD), to solve deformable manipulation tasks using states or images as inputs, given expert demonstrations. Our method uses…

Robotics · Computer Science 2022-07-22 Gautam Salhotra , I-Chun Arthur Liu , Marcus Dominguez-Kuhne , Gaurav S. Sukhatme

The unfolding of detector effects is a key aspect of comparing experimental data with theoretical predictions. In recent years, different Machine-Learning methods have been developed to provide novel features, e.g. high dimensionality or a…

Data Analysis, Statistics and Probability · Physics 2024-12-17 Mathias Backes , Anja Butter , Monica Dunford , Bogdan Malaescu

Transport-dominated phenomena provide a challenge for common mode-based model reduction approaches. We present a model reduction method, which is suited for these kind of systems. It extends the proper orthogonal decomposition (POD) by…

Numerical Analysis · Mathematics 2018-02-20 Julius Reiss , Philipp Schulze , Jörn Sesterhenn , Volker Mehrmann

Matrix inversion problems are often encountered in experimental physics, and in particular in high-energy particle physics, under the name of unfolding. The true spectrum of a physical quantity is deformed by the presence of a detector,…

Machine Learning · Statistics 2020-09-08 Pietro Vischia

This paper proposes a new data assimilation method for recovering high fidelity turbulent flow field around airfoil at high Reynolds numbers based on experimental data, which is called Proper Orthogonal Decomposition Inversion…

Fluid Dynamics · Physics 2020-07-14 Yilang Liu , Weiwei Zhang

Data unfolding is a common analysis technique used in HEP data analysis. Inspired by the deconvolution technique in the digital signal processing, a new unfolding technique based on the SVD technique and the well-known Wiener filter is…

Data Analysis, Statistics and Probability · Physics 2017-10-06 W. Tang , X. Li , X. Qian , H. Wei , C. Zhang

This study proposes a novel deep-learning-based method for generating reduced representations of turbulent flows that ensures efficient storage and transfer while maintaining high accuracy during decompression. A Swin-Transformer network…

Fluid Dynamics · Physics 2023-09-19 Meng Zhang , Mustafa Z Yousif , Linqi Yu , HeeChang Lim

In the time of Big Data, training complex models on large-scale data sets is challenging, making it appealing to reduce data volume for saving computation resources by subsampling. Most previous works in subsampling are weighted methods…

Machine Learning · Computer Science 2021-04-14 Zifeng Wang , Hong Zhu , Zhenhua Dong , Xiuqiang He , Shao-Lun Huang

We study the least-energy way to reshape a probability distribution when motion is constrained to a horizontal bundle, that is, optimal transport and distribution steering in sub-Riemannian geometry, motivated by density control over…

Optimization and Control · Mathematics 2026-05-18 Daniel Owusu Adu , Karthik Elamvazhuthi , Bahman Gharesifard

We investigate the time an electronic excitation travels in a supermolecular setup using a measurement process in an open quantum-system framework. The approach is based on the stochastic Schr\"odinger equation and uses a Hamiltonian from…

Materials Science · Physics 2013-12-09 Dirk Hofmann , Heiko Appel , Massimiliano Di Ventra , Stephan Kümmel

We introduce a novel geometric framework for optimal experimental design (OED). Traditional OED approaches, such as those based on mutual information, rely explicitly on probability densities, leading to restrictive invariance properties.…

Machine Learning · Statistics 2025-10-17 Gavin Kerrigan , Christian A. Naesseth , Tom Rainforth

The primary goal of reinforcement learning is to develop decision-making policies that prioritize optimal performance without considering risk or safety. In contrast, safe reinforcement learning aims to mitigate or avoid unsafe states. This…

Machine Learning · Computer Science 2024-09-13 Zahra Shahrooei , Ali Baheri

Experimental data in particle and nuclear physics, particle astrophysics, and radiation protection dosimetry are collected using experimental facilities that consist of a complex system of sensors, electronics, and software. Measured…

Data Analysis, Statistics and Probability · Physics 2026-03-04 Nikolay D. Gagunashvili

Federated learning increasingly operates in a large-model regime where communication, memory, and computation are all scarce. Typically, non-IID client data induce drift that degrades the stability and performance of local training.…

Machine Learning · Computer Science 2026-04-29 Shuchen Zhu , Zhengyang Huang , Yuqi Xu , Peijin Li

We show the application of an optimal transportation approach to estimate stochastic volatility process by using the flow that optimally transports the set of particles from the prior to a posterior distribution. We also show how to direct…

Numerical Analysis · Mathematics 2017-09-06 Raphael Douady , Shohruh Miryusupov

Machine learning-based unfolding has enabled unbinned and high-dimensional differential cross section measurements. Two main approaches have emerged in this research area: one based on discriminative models and one based on generative…

High Energy Physics - Phenomenology · Physics 2026-03-27 Sascha Diefenbacher , Guan-Horng Liu , Vinicius Mikuni , Benjamin Nachman , Weili Nie

The choice of unfolding method for a cross-section measurement is tightly coupled to the model dependence of the efficiency correction and the overall impact of cross-section modeling uncertainties in the analysis. A key issue is the…

Data Analysis, Statistics and Probability · Physics 2025-07-14 Roger G. Huang , Andrew Cudd , Masaki Kawaue , Tatsuya Kikawa , Benjamin Nachman , Vinicius Mikuni , Callum Wilkinson

We propose a new algorithm to compute a shifted proper orthogonal decomposition (sPOD) for systems dominated by multiple transport velocities. The sPOD is a recently proposed mode decomposition technique which overcomes the poor performance…

Numerical Analysis · Mathematics 2018-03-06 Philipp Schulze , Julius Reiss , Volker Mehrmann

When deploying a trained machine learning model in the real world, it is inevitable to receive inputs from out-of-distribution (OOD) sources. For instance, in continual learning settings, it is common to encounter OOD samples due to the…

Machine Learning · Computer Science 2024-01-23 Chuanwen Feng , Wenlong Chen , Ao Ke , Yilong Ren , Xike Xie , S. Kevin Zhou