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The use of entanglement renormalization in the presence of scale invariance is investigated. We explain how to compute an accurate approximation of the critical ground state of a lattice model, and how to evaluate local observables,…

强关联电子 · 物理学 2009-04-10 Robert N. C. Pfeifer , Glen Evenbly , Guifre Vidal

A novel computational, non-iterative and noise-robust reconstruction method is introduced for the planar anisotropic inverse conductivity problem. The method is based on bypassing the unstable step of the reconstruction of the values of the…

偏微分方程分析 · 数学 2015-06-25 Sarah Jane Hamilton , Matti Lassas , Samuli Siltanen

This work proposes an evidence-retrieval mechanism for uncertainty-aware decision-making that replaces a single global cutoff with an evidence-conditioned, instance-adaptive criterion. For each test instance, proximal exemplars are…

计算机视觉与模式识别 · 计算机科学 2025-09-18 Hassan Gharoun , Mohammad Sadegh Khorshidi , Kasra Ranjbarigderi , Fang Chen , Amir H. Gandomi

Conformal prediction is a distribution-free and model-agnostic uncertainty-quantification method that provides finite-sample prediction intervals with guaranteed coverage. In this work, for the first time, we apply conformal-prediction to…

核理论 · 物理学 2026-02-02 Habib Yousefi Dezdarani , Ryan Curry , Alexandros Gezerlis

The quasistatic, Prandtl-Reuss perfect plasticity at small strains is combined with a gradient, reversible (i.e. admitting healing) damage which influences both the elastic moduli and the yield stress. Existence of weak solutions of the…

数值分析 · 数学 2015-05-06 Tomáš Roubíček , Jan Valdman

Conformal prediction is a simple and powerful tool that can quantify uncertainty without any distributional assumptions. Many existing methods only address the average coverage guarantee, which is not ideal compared to the stronger…

机器学习 · 统计学 2023-02-21 Xing Han , Ziyang Tang , Joydeep Ghosh , Qiang Liu

We construct a generalized linear sigma model as an effective field theory (EFT) to describe nearly conformal gauge theories at low energies. The work is motivated by recent lattice studies of gauge theories near the conformal window, which…

This paper develops a bias correction scheme for a multivariate heteroskedastic errors-in-variables model. The applicability of this model is justified in areas such as astrophysics, epidemiology and analytical chemistry, where the…

统计方法学 · 统计学 2015-08-27 Alexandre G. Patriota , Artur J. Lemonte , Heleno Bolfarine

A class of quasi-distribution evaluation criteria based on piecewise Bezier curves is proposed to address the issue of the inability to objectively evaluate finite element models. During the optimization design of mechanical parts, finite…

数值分析 · 数学 2024-09-09 Runkai Wen , Yukun Chai , Lingxin Wang , Ruochen Du , Xingtian Long , Zhiyang Liu , Peng Wu , Yiduo Wang

Accelerated algorithms for maximum likelihood image reconstruction are essential for emerging applications such as 3D tomography, dynamic tomographic imaging, and other high dimensional inverse problems. In this paper, we introduce and…

统计计算 · 统计学 2012-01-31 Stéphane Chrétien , Alfred O. Hero

Recent results from the ATLAS and the CMS experiments at the Large Hadron Collider indicate the presence of a top-quark pair bound state near the threshold region. We present a way to reconstruct a toponium state at the $t\bar{t}$ threshold…

高能物理 - 唯象学 · 物理学 2026-04-01 Aman Desai , Amelia Lovison , Paul Jackson

In this note, we consider a special instance of the scaled, inexact and adaptive generalised Fast Iterative Soft-Thresholding Algorithm (SAGE-FISTA) recently proposed in (Rebegoldi, Calatroni, '21) for the efficient solution of strongly…

最优化与控制 · 数学 2021-04-02 Luca Calatroni , Simone Rebegoldi

We propose a trajectory-based quasiclassical method for approximating dynamics in condensed phase systems. Building upon the previously developed Optimized Mean Trajectory (OMT) approximation that has been used to compute linear and…

化学物理 · 物理学 2024-08-23 Kritanjan Polley

The Carleman linearization is one of the mainstream approaches to lift a finite-dimensional nonlinear dynamical system into an infinite-dimensional linear system with the promise of providing accurate approximations of the original…

动力系统 · 数学 2022-07-21 Arash Amini , Cong Zheng , Qiyu Sun , Nader Motee

This paper considers an optimization problem for a dynamical system whose evolution depends on a collection of binary decision variables. We develop scalable approximation algorithms with provable suboptimality bounds to provide…

最优化与控制 · 数学 2016-10-31 Insoon Yang , Samuel A. Burden , Ram Rajagopal , S. Shankar Sastry , Claire J. Tomlin

A fundamental problem in statistics is estimating the shape matrix of an Elliptical distribution. This generalizes the familiar problem of Gaussian covariance estimation, for which the sample covariance achieves optimal estimation error.…

统计理论 · 数学 2025-10-16 Lap Chi Lau , Akshay Ramachandran

The cytoskeleton, consisting of biopolymer filaments, molecular motors, and passive crosslinking proteins, provides the internal structure of cells that facilitate movement, growth, and cell division. Understanding the microscopic…

软凝聚态物质 · 物理学 2024-05-09 Zihan Zhang , Adam R. Lamson , Robert Blackwell

We propose a novel framework for joint magnetic resonance image reconstruction and uncertainty quantification using under-sampled k-space measurements. The problem is formulated as a Bayesian linear inverse problem, where prior…

图像与视频处理 · 电气工程与系统科学 2026-03-17 Ahmed Karam Eldaly , Matteo Figini , Daniel C. Alexander

When observations are truncated, we are limited to an incomplete picture of our dataset. Recent methods propose to use score matching for truncated density estimation, where the access to the intractable normalising constant is not…

统计方法学 · 统计学 2024-04-15 Daniel J. Williams , Song Liu

The determination of galaxy merger fraction of field galaxies using automatic morphological indices and photometric redshifts is affected by several biases if observational errors are not properly treated. Here, we correct these biases…

天体物理学 · 物理学 2009-11-13 C. López-Sanjuan , C. E. García-Dabó , M. Balcells