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Cumulant mapping employs a statistical reconstruction of the whole by sampling its parts. The theory developed in this work formalises and extends ad hoc methods of `multi-fold' or `multi-dimensional' covariance mapping. Explicit formulae…

Data Analysis, Statistics and Probability · Physics 2023-11-06 Leszek J. Frasinski

Using renormalization-group methods, differential equations can be obtained for the all-orders summation of leading and subsequent non-leading logarithmic corrections to QCD perturbative series for a number of processes and correlation…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Elias

An approximation algorithm is proposed to transform truncated QCD (or QED) series for observables. The approximation is a modification of the Baker-Gammel approximants, and is independent of the renormalization scale (RScl) $\mu$ -- the…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Cvetic

We construct predictions for top quark pair differential distributions at hadron colliders that combine state-of-the-art NNLO QCD calculations with double resummation at NNLL' accuracy of threshold logarithms arising from soft gluon…

High Energy Physics - Phenomenology · Physics 2018-06-07 Michal Czakon , Andrea Ferroglia , David Heymes , Alexander Mitov , Ben D. Pecjak , Darren J. Scott , Xing Wang , Li Lin Yang

An ensemble method is introduced that utilizes randomization and loss function gradients to compute a prediction. Multiple weakly-correlated estimators approximate the gradient at randomly sampled points on the error surface and are…

Machine Learning · Computer Science 2020-09-15 Nicholas Smith

There is a continuing effort to support and prepare the precision physics programs for the present and planned future colliders such as HL-LHC, FCC, CLIC, CEPC, and CPPC. We discuss new results from IR-improved amplitude-based resummation…

High Energy Physics - Phenomenology · Physics 2023-10-17 B. F. L. Ward , S. Jadach , W. Placzek , M. Skrzypek , Z. A. Was , S. A. Yost

In this survey article we present difference field algorithms for symbolic summation. Special emphasize is put on new aspects in how the summation problems are rephrased in terms of difference fields, how the problems are solved there, and…

Symbolic Computation · Computer Science 2013-04-17 Carsten Schneider

We address the problem of resumming leading clustering logs in QCD jet observables defined using the k_t, CA and SISCone algorithms. We specifically choose the jet mass distribution as an example and calculate up to order(alpha_s^4)…

High Energy Physics - Phenomenology · Physics 2013-06-25 Yazid Delenda , Kamel Khelifa-Kerfa

We analyze the heavy quark bound state spectrum using an order-dependent conformal mapping to re-sum the perturbative expansion for current correlators. The procedure consists of two main steps. Firstly, the Borel plane structure of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. F. Jones , A. Ritz , I. L. Solovtsov

I discuss general unified formulas for resumming collinear and soft contributions to QCD hard scattering cross sections at large x. Expansions of the resummed cross sections to next-to-next-to-next-to-leading order are also shown along with…

High Energy Physics - Phenomenology · Physics 2009-11-10 Nikolaos Kidonakis

This paper introduces new techniques for estimating, identifying and simulating mixed causal-noncausal invertible-noninvertible models. We propose a framework that integrates high-order cumulants, merging both the spectrum and bispectrum…

Econometrics · Economics 2023-10-31 Alain Hecq , Daniel Velasquez-Gaviria

Quickest change detection (QCD) is a fundamental problem in many applications. Given a sequence of measurements that exhibits two different distributions around a certain flipping point, the goal is to detect the change in distribution…

Information Theory · Computer Science 2020-01-23 Ahmed Badawy , Ahmed El Shafie , Tamer Khattab

Many processes of scientific and technological interest are characterized by time scales that render their simulation impossible if one uses present day simulation capabilities. To overcome this challenge a variety of enhanced simulation…

Statistical Mechanics · Physics 2019-02-26 Z. Faidon Brotzakis , Dan Mendels , Michele Parrinello

We advocate the replacement of standard alphas(mu)-based QCD perturbation theory, in which the coupling and truncated perturbative predictions are dependent on the chosen renormalisation scheme, by a Lambda-based approach in which QCD…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. J. Dinsdale , C. J. Maxwell

Based on the renormalization group summation method of McKeon ${\it et\; al.}$, it is shown that the renormalization group equation, while related to the radiatively mass scale $\mu$, would perform a summation over QCD perturbative terms.…

High Energy Physics - Phenomenology · Physics 2020-02-19 M. Akrami , A. Mirjalili

We present an extension of the so-called cumulant crossing method which is used for determination of critical point in Monte Carlo simulations.The new method uses linear combination of several different order-parameter moments and almost…

Condensed Matter · Physics 2007-05-23 M. Itakura

Purpose: To systematically investigate the influence of various data consistency layers, (semi-)supervised learning and ensembling strategies, defined in a $\Sigma$-net, for accelerated parallel MR image reconstruction using deep learning.…

Image and Video Processing · Electrical Eng. & Systems 2019-12-20 Kerstin Hammernik , Jo Schlemper , Chen Qin , Jinming Duan , Ronald M. Summers , Daniel Rueckert

The problem of precise evaluation of the perturbative QCD predictions at moderate energies is considered. Substantial renormalization scheme dependence of the perturbative predictions obtained with the conventional renormalization group…

High Energy Physics - Phenomenology · Physics 2007-05-23 Piotr A. Raczka

Cosmic microwave background studies of non-Gaussianity involving higher-order multispectra can distinguish between early universe theories that predict nearly identical power spectra. However, the recovery of higher-order multispectra is…

Cosmology and Nongalactic Astrophysics · Physics 2011-07-26 Dipak Munshi , Alan Heavens , Asantha Cooray , Joseph Smidt , Peter Coles , Paolo Serra

The method of sub-iteration, which was previously applied to the higher-order coupled cluster amplitude equations, is extended to the case of the coupled cluster $\Lambda$ equations. The sub-iteration procedure for the $\Lambda$ equations…

Chemical Physics · Physics 2025-03-26 Devin A. Matthews
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