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A wide variety of optimization techniques, both exact and heuristic, tend to be biased samplers. This means that when attempting to find multiple uncorrelated solutions of a degenerate Boolean optimization problem a subset of the solution…

无序系统与神经网络 · 物理学 2019-05-14 Andrew J. Ochoa , Darryl C. Jacob , Salvatore Mandrà , Helmut G. Katzgraber

For a Bayesian, real-time forecasting with the posterior predictive distribution can be challenging for a variety of time series models. First, estimating the parameters of a time series model can be difficult with sample-based approaches…

应用统计 · 统计学 2022-08-08 Taylor R. Brown

Conventional Bayesian estimation requires an accurate stochastic model of a system. However, this requirement is not always met in many practical cases where the system is not completely known or may differ from the assumed model. For such…

信号处理 · 电气工程与系统科学 2023-04-05 Ranjeet Kumar Tiwari , Shovan Bhaumik

This paper considers a new method for the binary asteroid orbit determination problem. The method is based on the Bayesian approach with a global optimisation algorithm. The orbital parameters to be determined are modelled through an a…

天体物理仪器与方法 · 物理学 2017-08-31 Irina D. Kovalenko , Radu S. Stoica , Nikolay V. Emelyanov

Bayesian estimation approaches, which are capable of combining the information of experimental data from different likelihood functions to achieve high precisions, have been widely used in phase estimation via introducing a controllable…

量子物理 · 物理学 2021-07-02 Yuxiang Qiu , Min Zhuang , Jiahao Huang , Chaohong Lee

We present a general framework for Bayesian estimation of incompletely observed multivariate diffusion processes. Observations are assumed to be discrete in time, noisy and incomplete. We assume the drift and diffusion coefficient depend on…

统计方法学 · 统计学 2019-02-04 Frank van der Meulen , Moritz Schauer

We introduce a novel Bayesian approach for both covariate selection and sparse precision matrix estimation in the context of high-dimensional Gaussian graphical models involving multiple responses. Our approach provides a sparse estimation…

统计方法学 · 统计学 2024-09-25 Anwesha Chakravarti , Naveen N. Narishetty , Feng Liang

Bayesian methods have been very successful in quantifying uncertainty in physics-based problems in parameter estimation and prediction. In these cases, physical measurements y are modeled as the best fit of a physics-based model…

数据分析、统计与概率 · 物理学 2015-02-06 Dave Higdon , Jordan D. McDonnell , Nicolas Schunck , Jason Sarich , Stefan M. Wild

In this paper, we propose a sparse signal estimation algorithm that is suitable for many wireless communication systems, especially for the future millimeter wave and underwater communication systems. This algorithm is not only…

信息论 · 计算机科学 2018-07-20 Chongwen Huang , Lei Liu , Chau Yuen

The Adaptive Smoothing Method (ASM) is a data-driven approach for traffic state estimation. It interpolates unobserved traffic quantities by smoothing measurements along spatio-temporal directions defined by characteristic traffic wave…

最优化与控制 · 数学 2022-12-14 Chuhan Yang , Bilal Thonnam Thodi , Saif Eddin Jabari

Computer experiments are becoming increasingly important in scientific investigations. In the presence of uncertainty, analysts employ probabilistic sensitivity methods to identify the key-drivers of change in the quantities of interest.…

统计方法学 · 统计学 2024-07-02 Isadora Antoniano-Villalobos , Emanuele Borgonovo , Xuefei Lu

The development of modern technology has enabled data collection of unprecedented size, which poses new challenges to many statistical estimation and inference problems. This paper studies the maximum score estimator of a semi-parametric…

统计理论 · 数学 2025-02-25 Xi Chen , Wenbo Jing , Weidong Liu , Yichen Zhang

This study proposes a debiasing method for smooth nonparametric estimators. While machine learning techniques such as random forests and neural networks have demonstrated strong predictive performance, their theoretical properties remain…

统计方法学 · 统计学 2025-03-19 Masahiro Kato

New problems arise when the standard theory of joint detection and estimation is applied to a set of signals drawn from a continuous family; decision thresholds must be determined as a function of the continuous parameter x characterizing…

统计理论 · 数学 2014-07-17 D. Michael Milder , Robert G. Lindgren , Morris M. Berman

We study the performance of a Bayesian statistician who estimates a rank-one signal corrupted by non-symmetric rotationally invariant noise with a generic distribution of singular values. As the signal-to-noise ratio and the noise structure…

信息论 · 计算机科学 2023-02-09 Teng Fu , YuHao Liu , Jean Barbier , Marco Mondelli , ShanSuo Liang , TianQi Hou

A new methodology for model determination in decomposable graphical Gaussian models is developed. The Bayesian paradigm is used and, for each given graph, a hyper inverse Wishart prior distribution on the covariance matrix is considered.…

统计计算 · 统计学 2015-03-13 Sophie Donnet , Jean-Michel Marin

Bayesian methods lie at the heart of modern data science and provide a powerful scaffolding for estimation in data-constrained settings and principled quantification and propagation of uncertainty. Yet in many real-world use cases where…

数据结构与算法 · 计算机科学 2026-03-20 Sitan Chen , Jingqiu Ding , Mahbod Majid , Walter McKelvie

In this paper, we discuss a class of distributed detection algorithms which can be viewed as implementations of Bayes' law in distributed settings. Some of the algorithms are proposed in the literature most recently, and others are first…

统计方法学 · 统计学 2015-11-10 Qipeng Liu , Jiuhua Zhao , Xiaofan Wang

Non linear regression models are a standard tool for modeling real phenomena, with several applications in machine learning, ecology, econometry... Estimating the parameters of the model has garnered a lot of attention during many years. We…

统计理论 · 数学 2020-09-17 Peggy Cénac , Antoine Godichon-Baggioni , Bruno Portier

Inferring the parameters of ordinary differential equations (ODEs) from noisy observations is an important problem in many scientific fields. Currently, most parameter estimation methods that bypass numerical integration tend to rely on…

统计方法学 · 统计学 2023-10-25 Mingwei Xu , Samuel W. K. Wong , Peijun Sang