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We present a new class of statistical error reduction techniques for Monte-Carlo simulations. Using covariant symmetries, we show that correlation functions can be constructed from inexpensive approximations without introducing any…

高能物理 - 格点 · 物理学 2015-07-15 Eigo Shintani , Rudy Arthur , Thomas Blum , Taku Izubuchi , Chulwoo Jung , Christoph Lehner

We present a general class of unbiased improved estimators for physical observables in lattice gauge theory computations which significantly reduces statistical errors at modest computational cost. The error reduction techniques, referred…

高能物理 - 格点 · 物理学 2013-11-13 Thomas Blum , Taku Izubuchi , Eigo Shintani

We report recent progress in the calculations of the isovector nucleon electromagnetic form factors using 2+1 flavors of domain wall fermions at pion masses of 170 MeV and 250 MeV. The lattice size is fixed at $32^3\times64$ with a lattice…

高能物理 - 格点 · 物理学 2014-01-08 Meifeng Lin

We study the performance of all-mode-averaging (AMA) when used in conjunction with a locally deflated SAP-preconditioned solver, determining how to optimize the local block sizes and number of deflation fields in order to minimize the…

高能物理 - 格点 · 物理学 2016-11-21 Georg von Hippel , Thomas D. Rae , Eigo Shintani , Hartmut Wittig

The low-mode averaging technique is a powerful tool for reducing large fluctuations in correlation functions due to low-mode eigenvalues of the Dirac operator. In this work we propose a generalization to baryons and test our method on…

高能物理 - 格点 · 物理学 2009-09-29 Leonardo Giusti , Silvia Necco

Lattice calculations of the hadronic contributions to the muon anomalous magnetic moment are numerically highly demanding due to the necessity of reaching total errors at the sub-percent level. Noise-reduction techniques such as low-mode…

高能物理 - 格点 · 物理学 2025-02-17 Thomas Blum , Alessandro Conigli , Lukas Geyer , Simon Kuberski , Alexander Segner , Hartmut Wittig

We propose a joint estimation method for the Direction-of-Arrival (DoA) and the Noise Covariance Matrix (NCM) tailored for beamforming applications. Building upon an existing NCM framework, our approach simplifies the estimation procedure…

音频与语音处理 · 电气工程与系统科学 2026-01-21 Vitor Gelsleichter Probst Curtarelli , Stephan Paul , Anderson Wedderhoff Spengler

We propose NAMA (Newton-type Alternating Minimization Algorithm) for solving structured nonsmooth convex optimization problems where the sum of two functions is to be minimized, one being strongly convex and the other composed with a linear…

最优化与控制 · 数学 2019-11-11 Lorenzo Stella , Andreas Themelis , Panagiotis Patrinos

At large momentum transfer, it becomes increasingly difficult to access the form factor of the pion $F_\pi(Q^2)$ using lattice QCD simulations. Two of the limiting factors include the increased computational cost of adding more statistics…

We develop a generalization of low-mode averaging in which the number of low quark modes of the Dirac operator required for a constant variance reduction can be kept independent of the volume by exploiting their local coherence. Typically…

高能物理 - 格点 · 物理学 2024-12-10 Roman Gruber , Tim Harris , Marina Krstic Marinkovic

Detecting out of distribution (OOD) samples is of paramount importance in all Machine Learning applications. Deep generative modeling has emerged as a dominant paradigm to model complex data distributions without labels. However, prior work…

机器学习 · 计算机科学 2021-01-05 Gowthami Somepalli , Yexin Wu , Yogesh Balaji , Bhanukiran Vinzamuri , Soheil Feizi

To backpropagate the gradients through stochastic binary layers, we propose the augment-REINFORCE-merge (ARM) estimator that is unbiased, exhibits low variance, and has low computational complexity. Exploiting variable augmentation,…

机器学习 · 统计学 2019-09-11 Mingzhang Yin , Mingyuan Zhou

The ubiquitous presence of shot noise sets a fundamental limit to the measurement precision in classical metrology. Recent advances in quantum devices and novel quantum algorithms utilizing interference effects are opening new routes for…

A Rotating Modulator (RM) is one of a class of techniques for indirect imaging of an object scene by modulation and detection of incident photons. Comparison of the RM to more common imaging techniques, the Rotating Modulation Collimator…

天体物理仪器与方法 · 物理学 2010-10-14 B. Budden , G. L. Case , M. L. Cherry

We propose convenient inferential methods for potentially nonstationary multivariate unobserved components models with fractional integration and cointegration. Based on finite-order ARMA approximations in the state space representation,…

计量经济学 · 经济学 2020-11-10 Tobias Hartl , Roland Weigand

We introduce a new nonparametric framework for classification problems in the presence of missing data. The key aspect of our framework is that the regression function decomposes into an anova-type sum of orthogonal functions, of which some…

统计理论 · 数学 2024-05-06 Torben Sell , Thomas B. Berrett , Timothy I. Cannings

We investigate an alternative to the Sequential Propagator Method used in Lattice QCD calculations of semileptonic form factors. We replace the sequential propagator with a stochastic propagator so that, in principle, all momentum and sink…

高能物理 - 格点 · 物理学 2010-11-05 Richard Evans , Gunnar Bali , Sara Collins

Using stochastic estimators for connected meson and baryon three-point functions has successfully been tried in the past years. Compared to the standard sequential source method we trade the freedom to compute the current-to-sink propagator…

Analyzing multi-way measurements with variations across one mode of the dataset is a challenge in various fields including data mining, neuroscience and chemometrics. For example, measurements may evolve over time or have unaligned time…

机器学习 · 计算机科学 2022-09-07 Marie Roald , Carla Schenker , Vince D. Calhoun , Tülay Adalı , Rasmus Bro , Jeremy E. Cohen , Evrim Acar

A Support Vector Method for multivariate performance measures was recently introduced by Joachims (2005). The underlying optimization problem is currently solved using cutting plane methods such as SVM-Perf and BMRM. One can show that these…

机器学习 · 计算机科学 2012-02-20 Xinhua Zhang , Ankan Saha , S. V. N. Vishwanatan
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