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Ordinary differential equations (ODEs) are used to model dynamic systems appearing in engineering, physics, biomedical sciences and many other fields. These equations contain unknown parameters, say $\bm\theta$ of physical significance…

统计理论 · 数学 2014-11-05 Prithwish Bhaumik , Subhashis Ghosal

We present a new set of leading twist parton distribution functions, referred to as "CJ15", which take advantage of developments in the theoretical treatment of nuclear corrections as well as new data. The analysis includes for the first…

高能物理 - 唯象学 · 物理学 2016-06-29 A. Accardi , L. T. Brady , W. Melnitchouk , J. F. Owens , N. Sato

We propose a data-driven approach to quantify the uncertainty of models constructed by kernel methods. Our approach minimizes the needed distributional assumptions, hence, instead of working with, for example, Gaussian processes or…

机器学习 · 计算机科学 2019-08-06 Balázs Csanád Csáji , Krisztián Balázs Kis

Existing uncertainty modeling approaches try to detect an out-of-distribution point from the in-distribution dataset. We extend this argument to detect finer-grained uncertainty that distinguishes between (a). certain points, (b). uncertain…

机器学习 · 计算机科学 2020-02-12 Rahul Soni , Naresh Shah , Jimmy D. Moore

We present theoretical predictions for a few phenomenologically interesting distributions in the semileptonic b->u decays which are affected by Fermi motion. The perturbative effects are incorporated at the one-loop level and appear to be…

高能物理 - 唯象学 · 物理学 2010-11-23 R. David Dikeman , N. G. Uraltsev

Transverse-momentum-dependent parton distribution functions are analyzed in semi-inclusive deep inelastic scattering at low transverse momentum using soft-collinear effective theory. The transverse-momentum-dependent parton distribution…

高能物理 - 唯象学 · 物理学 2007-11-29 Junegone Chay

Parametric uncertainty in nonlinear dynamical systems can fundamentally alter bifurcation behaviour, leading to qualitative response changes. Predicting operating margins/envelopes under such uncertainties is critical but challenging:…

动力系统 · 数学 2026-03-27 Dongxiao Hong , David A. W. Barton , Simon A. Neild

This paper deals with a nonparametric shape respecting estimation method for U-shaped or unimodal functions. A general upper bound for the nonasymptotic L_1-risk of the estimator is given. The method is applied to the shape respecting…

统计理论 · 数学 2007-06-13 L. Reboul

We introduce a new formulation of baryon chiral perturbation theory which improves the ultraviolet behavior of propagators and can be interpreted as a smooth cutoff regularization scheme. It is equivalent to the standard approach, preserves…

高能物理 - 唯象学 · 物理学 2011-07-19 D. Djukanovic , M. R. Schindler , J. Gegelia , S. Scherer

The subject of this paper is the design of efficient and stable spectral methods for time-dependent partial differential equations in unit balls. We commence by sketching the desired features of a spectral method, which is defined by a…

数值分析 · 数学 2023-12-21 Jing Gao , Arieh Iserles

We critically examine uncertainties in parton distribution functions (PDFs) at large x arising from nuclear effects in deuterium F2 structure function data. Within a global PDF analysis, we assess the impact on the PDFs from uncertainties…

高能物理 - 唯象学 · 物理学 2011-08-17 A. Accardi , W. Melnitchouk , J. F. Owens , M. E. Christy , C. E. Keppel , L. Zhu , J. G. Morfin

Experimental extraction of $\beta$-shape functions, C(W), is challenging. Comparing different experimental $\beta$-shapes to each other and to those predicted by theory in a consistent manner is difficult. This difficulty is compounded when…

计算物理 · 物理学 2025-10-27 B. C. Rasco , T. Gray , T. Ruland

We give a brief overview of phenomenological developments in the analysis of angular observables for exclusive decay modes of $B$ mesons and $\Lambda_b$ baryons, with focus on recent results and some important aspects related to the…

高能物理 - 唯象学 · 物理学 2021-01-13 Thorsten Feldmann

In electrocardiography, the "classic" inverse problem is the reconstruction of electric potentials at a surface enclosing the heart from remote recordings at the body surface and an accurate description of the anatomy. The latter being…

数值分析 · 数学 2021-06-29 Lia Gander , Rolf Krause , Michael Multerer , Simone Pezzuto

The neutron distribution of neutron-rich nuclei provides critical information on the structure of finite nuclei and neutron stars. Parity violating experiments -- such as PREX and CREX -- provide a clean and largely model-independent…

核理论 · 物理学 2021-08-11 Giuliani Pablo , Piekarewicz Jorge

Nuclear density functional theory (DFT) is one of the main theoretical tools used to study the properties of heavy and superheavy elements, or to describe the structure of nuclei far from stability. While on-going efforts seek to better…

核理论 · 物理学 2015-12-23 N. Schunck , J. D. McDonnell , D. Higdon , J. Sarich , S. M. Wild

The BV formalism is a well-established method for analyzing symmetries and quantization of field theories. In this paper we use the BV formalism to derive partition functions of gauge invariant operators up to equations of motions and their…

高能物理 - 理论 · 物理学 2025-06-25 Pietro Antonio Grassi , Ondrej Hulik

A new approach, "$\mathfrak{B}\text{-Function}$ Method", to the analysis of the reconstruction methods, phase space, and exact solutions of the alternative theories of gravity is suggested. The $\mathfrak{B}\text{-function}$ method which is…

广义相对论与量子宇宙学 · 物理学 2018-12-11 Behzad Tajahmad

Precisely tracking uncertainties is crucial for robots to successfully and safely operate in unstructured and dynamic environments. We present a probabilistic framework to precisely keep track of uncertainties throughout the entire…

机器人学 · 计算机科学 2019-01-07 Huy Nguyen , Quang-Cuong Pham

We investigate the renormalization properties of the shape function formalism for inclusive production of $P$-wave heavy quarkonia, which arises from resumming a class of corrections coming from kinematical effects associated with the…

高能物理 - 唯象学 · 物理学 2023-07-06 Hee Sok Chung