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We present a novel approach for the integration of scattering cross sections and the generation of partonic event samples in high-energy physics. We propose an importance sampling technique capable of overcoming typical deficiencies of…

High Energy Physics - Phenomenology · Physics 2020-04-29 Enrico Bothmann , Timo Janßen , Max Knobbe , Tobias Schmale , Steffen Schumann

The main theoretical tool to provide precise predictions for scattering cross sections of strongly interacting particles is perturbative QCD. Starting at next-to-leading order (NLO) the calculation suffers from unphysical IR-divergences…

High Energy Physics - Phenomenology · Physics 2014-10-13 David Heymes

A general subtraction scheme, STRIPPER (SecToR Improved Phase sPacE for real Radiation), is derived for the evaluation of next-to-next-to-leading order (NNLO) QCD contributions from double-real radiation to processes with at least two…

High Energy Physics - Phenomenology · Physics 2011-01-06 M. Czakon

Normalizing flows are generative machine learning models which can efficiently approximate probability distributions, using only given samples of a distribution. This architecture is used to interpolate the chiral condensate obtained from…

High Energy Physics - Lattice · Physics 2022-11-30 Frithjof Karsch , Anirban Lahiri , Marius Neumann , Christian Schmidt

We review standard subtraction, as a method to compute cross sections at NNLO accuracy.

High Energy Physics - Phenomenology · Physics 2009-11-11 Vittorio Del Duca , Gabor Somogyi , Zoltan Trocsanyi

Machine learning methods based on normalizing flows have been shown to address important challenges, such as critical slowing-down and topological freezing, in the sampling of gauge field configurations in simple lattice field theories. A…

Optical flow is a regression task where convolutional neural networks (CNNs) have led to major breakthroughs. However, this comes at major computational demands due to the use of cost-volumes and pyramidal representations. This was…

Computer Vision and Pattern Recognition · Computer Science 2021-02-16 Abdelrahman Eldesokey , Michael Felsberg

Importance sampling is a rare event simulation technique used in Monte Carlo simulations to bias the sampling distribution towards the rare event of interest. By assigning appropriate weights to sampled points, importance sampling allows…

Four years ago, one of us introduced a novel subtraction scheme for the evaluation of double-real radiation contributions to cross sections at next-to-next-to-leading order (NNLO) in QCD. This approach, named SecToR Improved Phase sPacE for…

High Energy Physics - Phenomenology · Physics 2015-06-22 M. Czakon , D. Heymes

We compare two approaches to evaluate cross sections of heavy-quarkonium production at next-to-leading order in nonrelativistic QCD involving $S$- and $P$-wave Fock states: the customary approach based on phase space slicing and the…

High Energy Physics - Phenomenology · Physics 2023-01-30 Mathias Butenschoen , Bernd A. Kniehl

We apply Continuous Normalizing Flows trained with the Flow Matching method to the problem of phase-space sampling in Monte Carlo event generation for high-energy collider physics. Focusing on lepton-pair and top quark pair production with…

High Energy Physics - Phenomenology · Physics 2026-04-07 Enrico Bothmann , Timo Janßen , Max Knobbe , Bernhard Schmitzer , Fabian Sinz

We present a method to combine next-to-leading order (NLO) matrix elements in QCD with leading logarithmic parton showers by applying a suitably modified version of the phase-space-slicing method. The method consists of subsuming the NLO…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. Pötter

Invertible convolutions have been an essential element for building expressive normalizing flow-based generative models since their introduction in Glow. Several attempts have been made to design invertible $k \times k$ convolutions that…

Computer Vision and Pattern Recognition · Computer Science 2023-01-24 Aditya Kallappa , Sandeep Nagar , Girish Varma

Achieving high efficiency in modern photorealistic rendering hinges on using Monte Carlo sampling distributions that closely approximate the illumination integral estimated for every pixel. Samples are typically generated from a set of…

Computer Vision and Pattern Recognition · Computer Science 2024-10-08 Joey Litalien , Miloš Hašan , Fujun Luan , Krishna Mullia , Iliyan Georgiev

Discrepancies play an important role in the study of uniformity properties of point sets. Their probability distributions are a help in the analysis of the efficiency of the Quasi Monte Carlo method of numerical integration, which uses…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. F. W. van Hameren

We evaluate the phase-space integrals that arise in double real emission diagrams for semi-inclusive deep-inelastic scattering at next-to-next-to-leading order (NNLO) in QCD. Utilizing the reverse unitarity technique, we convert these…

High Energy Physics - Phenomenology · Physics 2025-03-31 Taushif Ahmed , Saurav Goyal , Syed Mehedi Hasan , Roman N. Lee , Sven-Olaf Moch , Vaibhav Pathak , Narayan Rana , Andreas Rapakoulias , V. Ravindran

We propose to use deep neural networks for generating samples in Monte Carlo integration. Our work is based on non-linear independent components estimation (NICE), which we extend in numerous ways to improve performance and enable its…

Machine Learning · Computer Science 2019-09-04 Thomas Müller , Brian McWilliams , Fabrice Rousselle , Markus Gross , Jan Novák

Generating diverse samples under hard constraints is a core challenge in many areas. With this work we aim to provide an integrative view and framework to combine methods from the fields of MCMC, constrained optimization, as well as…

Robotics · Computer Science 2026-02-10 Marc Toussaint , Cornelius V. Braun , Joaquim Ortiz-Haro

The sampling of probability distributions specified up to a normalization constant is an important problem in both machine learning and statistical mechanics. While classical stochastic sampling methods such as Markov Chain Monte Carlo…

Machine Learning · Statistics 2020-10-27 Hao Wu , Jonas Köhler , Frank Noé

Sampling from unnormalized densities presents a fundamental challenge with wide-ranging applications, from posterior inference to molecular dynamics simulations. Continuous flow-based neural samplers offer a promising approach, learning a…

Machine Learning · Computer Science 2025-07-22 Wuhao Chen , Zijing Ou , Yingzhen Li
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