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The outcome statistics of an informationally complete quantum measurement for a system in a given state can be used to evaluate the ensemble expectation of any linear operator in the same state, by averaging a function of the outcomes that…

量子物理 · 物理学 2009-12-21 G. M. D'Ariano , D. F. Magnani , P. Perinotti

We consider chance constrained optimization where it is sought to optimize a function while complying with constraints, both of which are affected by uncertainties. The high computational cost of realistic simulations strongly limits the…

Spatial regression of random fields based on potentially biased sensing information is proposed in this paper. One major concern in such applications is that since it is not known a-priori what the accuracy of the collected data from each…

信号处理 · 电气工程与系统科学 2020-09-04 Qikun Xiang , Ido Nevat , Gareth W. Peters

We compare the accuracy, precision and reliability of different methods for estimating key system parameters for two-level systems subject to Hamiltonian evolution and decoherence. It is demonstrated that the use of Bayesian modelling and…

量子物理 · 物理学 2019-10-15 Sophie Schirmer , Frank Langbein

Finite mixture models have become a popular tool for clustering. Amongst other uses, they have been applied for clustering longitudinal data and clustering high-dimensional data. In the latter case, a latent Gaussian mixture model is…

统计方法学 · 统计学 2018-04-17 Vanessa S. E. Bierling , Paul D. McNicholas

Bayesian and frequentist methods differ in many aspects, but share some basic optimality properties. In practice, there are situations in which one of the methods is more preferred by some criteria. We consider the case of inference about a…

统计理论 · 数学 2009-08-25 Ao Yuan

Census data provide detailed information about population characteristics at a coarse resolution. Nevertheless, fine-grained, high-resolution mappings of population counts are increasingly needed to characterize population dynamics and to…

机器学习 · 计算机科学 2019-07-02 Guillaume Derval , Frédéric Docquier , Pierre Schaus

This paper demonstrates that aggregating crowdsourced forecasts benefits from modeling the written justifications provided by forecasters. Our experiments show that the majority and weighted vote baselines are competitive, and that the…

计算与语言 · 计算机科学 2021-09-16 Saketh Kotamraju , Eduardo Blanco

We present a new nonparametric mixture-of-experts model for multivariate regression problems, inspired by the probabilistic k-nearest neighbors algorithm. Using a conditionally specified model, predictions for out-of-sample inputs are based…

机器学习 · 统计学 2022-08-05 Tianfang Zhang , Rasmus Bokrantz , Jimmy Olsson

Forecasting revenues by aggregating analyst forecasts is a fundamental problem in financial research and practice. A key objective in this context is to improve the accuracy of the forecast by optimizing two performance metrics: the hit…

统计方法学 · 统计学 2025-03-27 Henry D. van Eijk , Sujit K. Ghosh

Inferring a decision maker's utility function typically involves an elicitation phase where the decision maker responds to a series of elicitation queries, followed by an estimation phase where the state-of-the-art is to either fit the…

应用统计 · 统计学 2018-07-31 Mengyang Gu , Debarun Bhattacharjya , Dharmashankar Subramanian

We introduce a method for aggregating many least squares estimator so that the resulting estimate has two properties: sparsity and structure. That is, only a few candidate covariates are used in the resulting model, and the selected…

统计方法学 · 统计学 2011-11-22 Daniel Percival

Following the idea of Bayesian learning via Gaussian mixture model, we organically combine the backward-looking information contained in the historical data and the forward-looking information implied by the market portfolio, which is…

投资组合管理 · 定量金融 2023-05-30 Yi Huang , Wei Zhu , Duan Li , Shushang Zhu , Shikun Wang

We introduce a data assimilation strategy aimed at accurately capturing key non-Gaussian structures in probability distributions using a small ensemble size. A major challenge in statistical forecasting of nonlinearly coupled multiscale…

数值分析 · 数学 2025-04-01 Di Qi , Jian-Guo Liu

We propose a finite sample based predictor for estimated linear one dimensional time series models and compute the associated total forecasting error. The expression for the error that we present takes into account the estimation error.…

统计理论 · 数学 2012-09-20 Lyudmila Grigoryeva , Juan-Pablo Ortega

We address the estimation problem of the separation of two arbitrarily close incoherent point sources from the quantum Bayesian point of view, i.e., when a prior probability distribution function (PDF) on the separation is available. For…

量子物理 · 物理学 2024-12-09 Boyu Zhou , Saikat Guha , Christos N. Gagatsos

When averages of different experimental determinations of the same quantity are computed, each with statistical and systematic error components, then frequently the statistical and systematic components of the combined error are quoted…

数据分析、统计与概率 · 物理学 2015-10-28 Jens Erler

This paper considers the problem of forecasting a collection of short time series using cross sectional information in panel data. We construct point predictors using Tweedie's formula for the posterior mean of heterogeneous coefficients…

计量经济学 · 经济学 2017-10-02 Laura Liu , Hyungsik Roger Moon , Frank Schorfheide

Statistical estimates from survey samples have traditionally been obtained via design-based estimators. In many cases, these estimators tend to work well for quantities such as population totals or means, but can fall short as sample sizes…

统计方法学 · 统计学 2020-09-15 Paul A. Parker , Scott H. Holan , Ryan Janicki

In this paper we consider a network of spatially distributed sensors which collect measurement samples of a spatial field, and aim at estimating in a distributed way (without any central coordinator) the entire field by suitably fusing all…

系统与控制 · 计算机科学 2018-05-23 Francesco Sasso , Angelo Coluccia , Giuseppe Notarstefano