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In the following article we provide an exposition of exact computational methods to perform parameter inference from partially observed network models. In particular, we consider the duplication attachment (DA) model which has a likelihood…

统计计算 · 统计学 2013-06-20 Junshan Wang , Ajay Jasra , Maria De Iorio

Sparse networks can be found in a wide range of applications, such as biological and communication networks. Inference of such networks from data has been receiving considerable attention lately, mainly driven by the need to understand and…

系统与控制 · 电气工程与系统科学 2024-12-20 Junyang Jin , Ye Yuan , Jorge Goncalves

Study samples often differ from the target populations of inference and policy decisions in non-random ways. Researchers typically believe that such departures from random sampling -- due to changes in the population over time and space, or…

统计方法学 · 统计学 2023-07-20 Tamara Broderick , Ryan Giordano , Rachael Meager

We propose a new importance sampling framework for the estimation and analysis of Sobol' indices. We focus on the estimation of the conditional second-moment quantity underlying these indices, which is the most challenging term to estimate.…

统计理论 · 数学 2026-03-03 Haythem Boucharif , Jérôme Morio , Paul Rochet

Global sensitivity analysis of a numerical code, more specifically estimation of Sobol indices associated with input variables, generally requires a large number of model runs. When those demand too much computation time, it is necessary to…

偏微分方程分析 · 数学 2012-01-16 Alexandre Janon , Maëlle Nodet , Clémentine Prieur

Factor importance measures the impact of each feature on output prediction accuracy. Many existing works focus on the model-based importance, but an important feature in one learning algorithm may hold little significance in another model.…

统计方法学 · 统计学 2025-06-24 Chaofan Huang , V. Roshan Joseph

It is well-known that linearized perturbation methods for sensitivity analysis, such as tangent or adjoint equation-based, finite difference and automatic differentiation are not suitable for turbulent flows. The reason is that turbulent…

混沌动力学 · 物理学 2019-07-04 Nisha Chandramoorthy , Qiqi Wang

We study the problem of system identification for stochastic continuous-time dynamics, based on a single finite-length state trajectory. We present a method for estimating the possibly unstable open-loop matrix by employing properly…

机器学习 · 统计学 2025-09-30 Reza Sadeghi Hafshejani , Mohamad Kazem Shirani Fradonbeh

Global sensitivity analysis (GSA) of numerical simulators aims at studying the global impact of the input uncertainties on the output. To perform the GSA, statistical tools based on inputs/output dependence measures are commonly used. We…

统计理论 · 数学 2019-02-20 Anouar Meynaoui , Amandine Marrel , Béatrice Laurent

Sensitivity analysis is an important part of a mathematical modeller's toolbox for model analysis. In this review paper, we describe the most frequently used sensitivity techniques, discussing their advantages and limitations, before…

定量方法 · 定量生物学 2020-01-14 George Qian , Adam Mahdi

Complex computer codes are widely used in science to model physical systems. Sensitivity analysis aims to measure the contributions of the inputs on the code output variability. An efficient tool to perform such analysis are the…

统计理论 · 数学 2013-10-15 Gaëlle Chastaing , Loic Le Gratiet

The Sobol' indices are a recognized tool in global sensitivity analysis. When the uncertain variables in a model are statistically independent, the Sobol' indices may be easily interpreted and utilized. However, their interpretation and…

数据分析、统计与概率 · 物理学 2018-08-17 Joseph Hart , Pierre Gremaud

The PAWN index is gaining traction among the modelling community as a sensitivity measure. However, the robustness to its design parameters has not yet been scrutinized: the size ($N$) and sampling ($\varepsilon$) of the model output, the…

应用统计 · 统计学 2020-09-03 Arnald Puy , Samuele Lo Piano , Andrea Saltelli

Causal graphs may inform covariate adjustment for estimating causal effects and improve estimation efficiency by exploiting the graphical structure. In many applications, however, the target causal parameter may not be point-identified due…

This paper proposes a new pathwise sensitivity estimator for chaotic SDEs. By introducing a spring term between the original and perturbated SDEs, we derive a new estimator by importance sampling. The variance of the new estimator increases…

数值分析 · 数学 2023-01-10 Wei Fang , Mike Giles

Given its vast application on online social networks, Influence Maximization (IM) has garnered considerable attention over the last couple of decades. Due to the intricacy of IM, most current research concentrates on estimating the…

社会与信息网络 · 计算机科学 2023-04-14 Zonghan Zhang , Zhiqian Chen

Reliability analysis typically relies on deterministic simulators, which yield repeatable outputs for identical inputs. However, many real-world systems display intrinsic randomness, requiring stochastic simulators whose outputs are random…

统计方法学 · 统计学 2025-07-08 A. Pires , M. Moustapha , S. Marelli , B. Sudret

We consider the problem of inferring the functional connectivity of a large-scale computer network from sparse time series of events emitted by its nodes. We do so under the following three domain-specific constraints: (a) non-stationarity…

机器学习 · 计算机科学 2018-02-13 Antoine Messager , George Parisis , Istvan Z Kiss , Robert Harper , Phil Tee , Luc Berthouze

We consider a causal inference model in which individuals interact in a social network and they may not comply with the assigned treatments. In particular, we suppose that the form of network interference is unknown to researchers. To…

统计方法学 · 统计学 2023-10-24 Tadao Hoshino , Takahide Yanagi

The rapid influx of data-driven models into the industrial sector has been facilitated by the proliferation of sensor technology, enabling the collection of vast quantities of data. However, leveraging these models for failure detection and…