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Related papers: Different approaches to TMD Evolution with scale

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Decision-making in real applications is often affected by vagueness, incomplete information, heterogeneous data, and conflicting expert opinions. This survey reviews uncertainty-aware multi-criteria decision-making (MCDM) and organizes the…

Artificial Intelligence · Computer Science 2026-03-23 Takaaki Fujita , Florentin Smarandache

We compare recent, seemingly different, approaches to TMD-factorization (due to Echevarria, Idilbi, and Scimemi and to Collins), and show that they are the same, apart from an apparent difference in their definition of the \MSbar{}…

High Energy Physics - Phenomenology · Physics 2013-03-14 John C. Collins , Ted C. Rogers

Factor analysis, often regarded as a Bayesian variant of matrix factorization, offers superior capabilities in capturing uncertainty, modeling complex dependencies, and ensuring robustness. As the deep learning era arrives, factor analysis…

Machine Learning · Computer Science 2024-08-02 Zhibin Duan , Tiansheng Wen , Yifei Wang , Chen Zhu , Bo Chen , Mingyuan Zhou

Defining the number of latent factors has been one of the most challenging problems in factor analysis. Infinite factor models offer a solution to this problem by applying increasing shrinkage on the columns of factor loading matrices, thus…

Methodology · Statistics 2023-09-25 Margarita Grushanina

Contrastive explanations clarify why an event occurred in contrast to another. They are more inherently intuitive to humans to both produce and comprehend. We propose a methodology to produce contrastive explanations for classification…

Computation and Language · Computer Science 2021-09-15 Alon Jacovi , Swabha Swayamdipta , Shauli Ravfogel , Yanai Elazar , Yejin Choi , Yoav Goldberg

Consider a regression or some regression-type model for a certain response variable where the linear predictor includes an ordered factor among the explanatory variables. The inclusion of a factor of this type can take place is a few…

Methodology · Statistics 2023-11-27 Adelchi Azzalini

Heavy meson decays provide an important platform for studies of both QCD and electroweak dynamics, which may contain some portals to understanding of nonperturbative QCD and physics beyond the Standard Model. The factorization-assisted…

High Energy Physics - Phenomenology · Physics 2021-11-30 Qin Qin , Chao Wang , Di Wang , Si-Hong Zhou

New inference methods for the multivariate coefficient of variation and its reciprocal, the standardized mean, are presented. While there are various testing procedures for both parameters in the univariate case, it is less known how to do…

Methodology · Statistics 2020-03-31 Marc Ditzhaus , Łukas Smaga

In the age of big data and interpretable machine learning, approaches need to work at scale and at the same time allow for a clear mathematical understanding of the method's inner workings. While there exist inherently interpretable…

Computation · Statistics 2023-02-02 David Rügamer

We introduce a new approach to an enumerative problem closely linked with the geometry of branched coverings; that is, we study the number of ways a permutation can be decomposed into a product of a given number of 2-cycles, 3-cycles, etc.…

Combinatorics · Mathematics 2007-05-23 John Irving

With the increasing deployment of machine learning systems in practice, transparency and explainability have become serious issues. Contrastive explanations are considered to be useful and intuitive, in particular when it comes to…

Machine Learning · Computer Science 2021-01-05 André Artelt , Barbara Hammer

In this paper, we introduce a method for adapting the step-sizes of temporal difference (TD) learning. The performance of TD methods often depends on well chosen step-sizes, yet few algorithms have been developed for setting the step-size…

Machine Learning · Computer Science 2018-04-11 Alex Kearney , Vivek Veeriah , Jaden B. Travnik , Richard S. Sutton , Patrick M. Pilarski

This paper provides a theoretical explanation on the clustering aspect of nonnegative matrix factorization (NMF). We prove that even without imposing orthogonality nor sparsity constraint on the basis and/or coefficient matrix, NMF still…

Machine Learning · Computer Science 2010-06-15 Andri Mirzal , Masashi Furukawa

The alternating direction method of multipliers (ADMM) is a flexible method to solve a large class of convex minimization problems. Particular features are its unconditional convergence with respect to the involved step size and its direct…

Numerical Analysis · Mathematics 2017-04-21 Sören Bartels , Marijo Milicevic

The current status of the theoretical understanding of the transverse-momentum dependent parton densities (TMDs) is discussed. Special attention is payed to the difference between the operator definitions of TMDs proposed so far, the…

High Energy Physics - Phenomenology · Physics 2011-02-07 I. O. Cherednikov

We present a short overview on transverse momentum dependent parton distribution and fragmentation functions, giving their partonic interpretation and ways to access them. We then discuss the issue of their universality and its connection…

High Energy Physics - Phenomenology · Physics 2022-03-02 Umberto D'Alesio

Despite the growing body of work in interpretable machine learning, it remains unclear how to evaluate different explainability methods without resorting to qualitative assessment and user-studies. While interpretability is an inherently…

Machine Learning · Computer Science 2020-07-16 An-phi Nguyen , María Rodríguez Martínez

The goal of most subjective studies is to place a set of stimuli on a perceptual scale. This is mostly done directly by rating, e.g. using single or double stimulus methodologies, or indirectly by ranking or pairwise comparison. All these…

Neurons and Cognition · Quantitative Biology 2022-03-25 Pastor Andréas , Lukáš Krasula , Xiaoqing Zhu , Zhi Li , Patrick Le Callet

Many known models, which generally use a factorization hypothesis, give a poor account of the decays B into J/psi + K(*). Usually there is a free overall factor, which is fit to the data, so that tests of the models rely upon ratios. The…

High Energy Physics - Phenomenology · Physics 2009-09-25 Carl E. Carlson , J. Milana

Systematic differences in experimental materials, methods, measurements, and data handling between labs, over time, and among personnel can sabotage experimental reproducibility. Uncovering such differences can be difficult and time…

Applications · Statistics 2018-07-18 Bert Gunter