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The global sensitivity analysis method, used to quantify the influence of uncertain input variables on the response variability of a numerical model, is applicable to deterministic computer code (for which the same set of input variables…

Methodology · Statistics 2009-06-08 Bertrand Iooss , Mathieu Ribatet , Amandine Marrel

Regression analyses based on transformations of cumulative incidence functions are often adopted when modeling and testing for treatment effects in clinical trial settings involving competing and semi-competing risks. Common frameworks…

Methodology · Statistics 2024-01-11 Alexandra Bühler , Richard J Cook , Jerald F Lawless

Applied macroeconomists frequently use impulse response estimators motivated by linear models. We study whether the estimands of such procedures have a causal interpretation when the true data generating process is in fact nonlinear. We…

Econometrics · Economics 2025-11-18 Michal Kolesár , Mikkel Plagborg-Møller

A model-independent statistical framework is presented to interpret data from systems where the mean time derivative of positional cross correlation between world lines, a measure of spreading in a quantum geometrical wave function, is…

General Relativity and Quantum Cosmology · Physics 2017-03-16 Craig J. Hogan , Ohkyung Kwon

A QCD analysis of the world data on polarized deep inelastic scattering is presented in leading and next-to-leading order. New parameterizations are derived for the quark and gluon distributions for the kinematic range $x \epsilon…

High Energy Physics - Phenomenology · Physics 2016-09-06 J. Blümlein , H. Böttcher

Sensitivity analysis is a classical and fundamental tool to evaluate the role of a given parameter in a given system characteristic. Because the phase response curve is a fundamental input--output characteristic of oscillators, we developed…

Dynamical Systems · Mathematics 2024-05-03 Pierre Sacré , Rodolphe Sepulchre

Limited overlap between treated and control groups is a key challenge in observational analysis. Standard approaches like trimming importance weights can reduce variance but introduce a fundamental bias. We propose a sensitivity framework…

Machine Learning · Statistics 2026-04-21 Yuanzhe Ma , Yian Huang , Hongseok Namkoong

Correlations are important tools in the characterization of quantum fields. They can be used to describe statistical properties of the fields, such as bunching and anti-bunching, as well as to perform field state tomography. Here we analyse…

Quantum Physics · Physics 2010-12-07 Marcus P. da Silva , Deniz Bozyigit , Andreas Wallraff , Alexandre Blais

Causal inference is central to statistics and scientific discovery, enabling researchers to identify cause-and-effect relationships beyond associations. While traditionally studied within Euclidean spaces, contemporary applications…

Methodology · Statistics 2025-07-01 Satarupa Bhattacharjee , Bing Li , Xiao Wu , Lingzhou Xue

We consider power-behaved contributions to hard processes in QCD arising from non-perturbative effects at low scales which can be described by introducing the notion of an infrared-finite effective coupling. Our method is based on a…

High Energy Physics - Phenomenology · Physics 2009-10-28 Yu. L. Dokshitzer , G. Marchesini , B. R. Webber

Several new developments in the calculation and interpretation of hadron density-density correlation functions are presented. The asymptotic behavior of correlation functions is determined from a tree diagram path integral. A method is…

High Energy Physics - Lattice · Physics 2009-09-25 J. W. Negele , M. Burkardt , J. M. Grandy

Quantum chromodynamics, most commonly referred to as QCD, is a relativistic quantum field theory for the strong interaction between subatomic particles called quarks and gluons. The most systematic way of calculating the strong interactions…

High Energy Physics - Lattice · Physics 2017-06-06 Dean P. Thomas , Rita Borgo , Robert S. Laramee , Simon J. Hands

The nucleon structure functions probed in deep-inelastic scattering at large virtualities form an important tool to test Quantum Chromdynamics (QCD) through precision measurements of the strong coupling constant $\alpha_s(M_Z^2)$ and the…

High Energy Physics - Phenomenology · Physics 2015-06-11 Johannes Blümlein

A sensitivity analysis in an observational study assesses the robustness of significant findings to unmeasured confounding. While sensitivity analyses in matched observational studies have been well addressed when there is a single outcome…

Methodology · Statistics 2015-11-05 Colin B. Fogarty , Dylan S. Small

The theoretical framework for networked quantum sensing has been developed to a great extent in the past few years, but there are still a number of open questions. Among these, a problem of great significance, both fundamentally and for…

Quantum Physics · Physics 2020-06-18 Jesús Rubio , Paul A Knott , Timothy J Proctor , Jacob A Dunningham

Influence functions estimate effect of individual data points on predictions of the model on test data and were adapted to deep learning in Koh and Liang [2017]. They have been used for detecting data poisoning, detecting helpful and…

Machine Learning · Computer Science 2022-10-04 Nikunj Saunshi , Arushi Gupta , Mark Braverman , Sanjeev Arora

Basing on the theory of Feynman's influence functional and its hierarchical equations of motion, we develop a linear response theory for quantum open systems. Our theory provides an effective way to calculate dynamical observables of a…

Mesoscale and Nanoscale Physics · Physics 2011-08-31 J. H. Wei , YiJing Yan

The correlation function in quantum systems plays a vital role in decoding their properties and gaining insights into physical phenomena. Its interpretation corresponds to the propagation of particle excitations between space-time, similar…

Quantum Physics · Physics 2024-05-14 Yuan Feng , Xi Chen , Yongcheng Ding

Extracting information on the three-dimensional structure of hadrons from transverse-momentum data is a challenging task, requiring the separation of perturbative contributions under QCD control from genuinely non-perturbative effects,…

High Energy Physics - Phenomenology · Physics 2025-09-09 Andrea Simonelli

Partial differential equations are central to describing many physical phenomena. In many applications these phenomena are observed through a sensor network, with the aim of inferring their underlying properties. Leveraging from certain…

Information Theory · Computer Science 2017-11-22 John Murray-Bruce , Pier Luigi Dragotti