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The paper presents a variational quantum algorithm to solve initial-boundary value problems described by second-order partial differential equations. The approach uses hybrid classical/quantum hardware that is well suited for quantum…

We apply the strategy proposed in the companion paper [1] for dealing with multiple dispersive bounds, to the case of sub-threshold branch-cuts, which is a topic addressed extensively in the literature (see, e.g., Refs. [2-8]). We consider…

高能物理 - 唯象学 · 物理学 2026-03-25 Silvano Simula , Ludovico Vittorio

We present a new method that includes three key components of distributed optimization and federated learning: variance reduction of stochastic gradients, partial participation, and compressed communication. We prove that the new method has…

机器学习 · 计算机科学 2024-01-04 Alexander Tyurin , Peter Richtárik

The boundary treatment is fundamental for modeling fluid flows; especially, in the lattice Boltzmann method, the curved boundary conditions effectively improve the accuracy of single-phase simulations with complex-geometry boundaries.…

流体动力学 · 物理学 2022-07-22 Yichen Yao , Yangsha Liu , Xingguo Zhong , Binghai Wen

Tensor decomposition methods are popular tools for learning latent variables given only lower-order moments of the data. However, the standard assumption is that we have sufficient data to estimate these moments to high accuracy. In this…

机器学习 · 统计学 2019-03-13 Omer Gottesman , Weiwei Pan , Finale Doshi-Velez

Clinical machine learning applications are often plagued with confounders that are clinically irrelevant, but can still artificially boost the predictive performance of the algorithms. Confounding is especially problematic in mobile health…

应用统计 · 统计学 2018-11-29 Elias Chaibub Neto

The usual procedure of including a finite number of vertices in Non Perturbative Renormalization Group equations in order to obtain $n$-point correlation functions at finite momenta is analyzed. This is done by exploiting a general method…

高能物理 - 理论 · 物理学 2008-11-26 Diego Guerra , Ramon Mendez-Galain , Nicolas Wschebor

A wide range of problems in computational science and engineering require estimation of sparse eigenvectors for high dimensional systems. Here, we propose two variants of the Truncated Orthogonal Iteration to compute multiple leading…

数值分析 · 数学 2021-03-26 Hexuan Liu , Aleksandr Aravkin

A new volumetric-type boundary treatment is introduced for the lattice Boltzmann method. Populations are projected onto a discontinuous piecewise linear basis and streamed using an exact geometrical mapping. The method is implemented in 2D…

计算物理 · 物理学 2025-09-11 Kaj Hoefnagel , Damiano Casalino , Steven Hulshoff , Frits de Prenter

The control variates method is a classical variance reduction technique for Monte Carlo estimators that exploits correlated auxiliary variables without introducing bias. In many applications, the quantity of interest can be expressed as a…

统计理论 · 数学 2025-11-10 Louison Bocquet-Nouaille , Jérôme Morio , Benjamin Bobbia

Despite the large research effort devoted to learning dependencies between time series, the state of the art still faces a major limitation: existing methods learn partial correlations but fail to discriminate across distinct frequency…

Collider processes with identified hadrons in the final state are widely studied in view of determining details of the proton structure and of understanding hadronization. Their theory description requires the introduction of fragmentation…

高能物理 - 唯象学 · 物理学 2024-08-08 Leonardo Bonino , Thomas Gehrmann , Matteo Marcoli , Robin Schürmann , Giovanni Stagnitto

We present a new method for the approximate solution of the strongly coupled, nonlinear stress-diffusion problem that appears when modeling hydrogen transport in metals. The most salient feature of the proposed approximation is that it is…

材料科学 · 物理学 2024-06-21 Eva M. Andrés , Ignacio Romero

In recent years the femtoscopy technique has been used by the ALICE Collaboration in small colliding systems at the LHC to investigate the strong-interaction of hadron pairs in the low-energy regime. The extension of this technique to the…

The transverse-momentum-dependent distributions (TMDs), which are defined by gauge-invariant 3D parton correlators with staple-shaped lightlike Wilson lines, can be calculated from quark and gluon correlators fixed in the Coulomb gauge on a…

高能物理 - 唯象学 · 物理学 2024-12-04 Yong Zhao

This paper investigates fractional torsional rigidity on compact, connected metric graphs, a novel extension of the classical concept to nonlocal operators. The fractional torsional rigidity is defined as the $L^1$-norm of the fractional…

偏微分方程分析 · 数学 2025-11-04 Sedef Özcan

This paper studies the lattice agreement problem and proposes a stronger form, $\varepsilon$-bounded lattice agreement, that enforces an additional tightness constraint on the outputs. To formalize the concept, we define a quasi-metric on…

分布式、并行与集群计算 · 计算机科学 2025-02-04 Abdullah Rasheed , Nidhi Dubagunta

Mixtures of high dimensional Gaussian distributions have been studied extensively in statistics and learning theory. While the total variation distance appears naturally in the sample complexity of distribution learning, it is analytically…

概率论 · 数学 2022-03-11 Sami Davies , Arya Mazumdar , Soumyabrata Pal , Cyrus Rashtchian

By amalgamating data from disparate sources, the resulting integrated dataset becomes a valuable resource for statistical analysis. In probabilistic record linkage, the effectiveness of such integration relies on the availability of linkage…

统计方法学 · 统计学 2025-11-10 Siu-Ming Tam , Min Wang , Alicia Rambaldi , Dehua Tao

This paper addresses the complexity reduction of stochastic homogenisation of a class of random materials for a stationary diffusion equation. A cost-efficient approximation of the correctors is built using a method designed to exploit…

数值分析 · 数学 2022-03-25 Quentin Ayoul-Guilmard , Anthony Nouy , Christophe Binetruy