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Inferring variable importance is the key problem of many scientific studies, where researchers seek to learn the effect of a feature $X$ on the outcome $Y$ in the presence of confounding variables $Z$. Focusing on classification problems,…

统计方法学 · 统计学 2023-09-11 Wenshuo Wang , Lucas Janson , Lihua Lei , Aaditya Ramdas

Computational models are utilized in many scientific domains to simulate complex systems. Sensitivity analysis is an important practice to aid our understanding of the mechanics of these models and the processes they describe, but…

统计方法学 · 统计学 2022-08-12 Massimo Aufiero , Lucas Janson

The inferential model (IM) framework produces data-dependent, non-additive degrees of belief about the unknown parameter that are provably valid. The validity property guarantees, among other things, that inference procedures derived from…

统计理论 · 数学 2021-08-05 Chuanhai Liu , Ryan Martin

Understanding the fundamental characteristics that shape the inherent flood risk disposition of urban areas is critical for integrated urban design strategies for flood risk reduction. Flood risk disposition specifies an inherent and…

计算工程、金融与科学 · 计算机科学 2024-03-22 Chenyue Liu , Ali Mostafavi

Flood quantile estimation is of great importance for many engineering studies and policy decisions. However, practitioners must often deal with small data available. Thus, the information must be used optimally. In the last decades, to…

应用统计 · 统计学 2009-11-13 Mathieu Ribatet , Taha B. M. J. Ouarda , Eric Sauquet , Jean-Michel Grésillon

Posterior probabilistic statistical inference without priors is an important but so far elusive goal. Fisher's fiducial inference, Dempster-Shafer theory of belief functions, and Bayesian inference with default priors are attempts to…

统计理论 · 数学 2013-03-26 Ryan Martin , Chuanhai Liu

Identifying dependency in multivariate data is a common inference task that arises in numerous applications. However, existing nonparametric independence tests typically require computation that scales at least quadratically with the sample…

统计方法学 · 统计学 2021-07-08 Shai Gorsky , Li Ma

In order to trust the predictions of a machine learning algorithm, it is necessary to understand the factors that contribute to those predictions. In the case of probabilistic and uncertainty-aware models, it is necessary to understand not…

机器学习 · 统计学 2024-08-19 Danny Wood , Theodore Papamarkou , Matt Benatan , Richard Allmendinger

As a crucial problem in statistics is to decide whether additional variables are needed in a regression model. We propose a new multivariate test to investigate the conditional mean independence of Y given X conditioning on some known…

统计理论 · 数学 2018-05-18 Ze Jin , Xiaohan Yan , David S. Matteson

The inferential model (IM) framework provides valid prior-free probabilistic inference by focusing on predicting unobserved auxiliary variables. But, efficient IM-based inference can be challenging when the auxiliary variable is of higher…

统计理论 · 数学 2015-01-20 Ryan Martin , Chuanhai Liu

A robust prediction model invoking the Takens embedding theorem, whose \textit{working hypothesis} is obtained via an inference procedure based on the minimum Fisher information principle, is presented. The coefficients of the ansatz,…

统计方法学 · 统计学 2017-04-26 R. C. Venkatesan , A. Plastino

Influence estimation methods promise to explain and debug machine learning by estimating the impact of individual samples on the final model. Yet, existing methods collapse under training randomness: the same example may appear critical in…

机器学习 · 计算机科学 2026-04-06 Subhodip Panda , Dhruv Tarsadiya , Shashwat Sourav , Prathosh A. P , Sai Praneeth Karimireddy

Timely, accurate, and reliable information is essential for decision-makers, emergency managers, and infrastructure operators during flood events. This study demonstrates a proposed machine learning model, MaxFloodCast, trained on…

Flooding is one of the most disastrous natural hazards, responsible for substantial economic losses. A predictive model for flood-induced financial damages is useful for many applications such as climate change adaptation planning and…

机器学习 · 计算机科学 2022-12-20 Joaquin Salas , Anamitra Saha , Sai Ravela

Marginal expected shortfall is unquestionably one of the most popular systemic risk measures. Studying its extreme behaviour is particularly relevant for risk protection against severe global financial market downturns. In this context,…

统计理论 · 数学 2023-04-18 Simone A. Padoan , Stefano Rizzelli , Matteo Schiavone

We study Bayesian inverse problems with mixed noise, modeled as a combination of additive and multiplicative Gaussian components. While traditional inference methods often assume fixed or known noise characteristics, real-world…

机器学习 · 计算机科学 2025-10-17 Paul Hagemann , Robert Gruhlke , Bernhard Stankewitz , Claudia Schillings , Gabriele Steidl

Normalizing flows have shown great success as general-purpose density estimators. However, many real world applications require the use of domain-specific knowledge, which normalizing flows cannot readily incorporate. We propose…

机器学习 · 统计学 2022-03-17 Gianluigi Silvestri , Emily Fertig , Dave Moore , Luca Ambrogioni

In QM/MM indirect free energy simulation, QM/MM corrections can be obtained from integration of partial derivatives of alchemical Hamiltonians or from perturbation-based estimators including free energy perturbation (FEP) and acceptance…

化学物理 · 物理学 2018-10-05 Xiaohui Wang , Zhaoxi Sun

Variational inference approximates the posterior distribution of a probabilistic model with a parameterized density by maximizing a lower bound for the model evidence. Modern solutions fit a flexible approximation with stochastic gradient…

机器学习 · 统计学 2017-07-13 Joseph Sakaya , Arto Klami

This paper introduces a straightforward sieve-based approach for estimating and conducting inference on regression parameters in panel data models with interactive fixed effects. The method's key assumption is that factor loadings can be…

计量经济学 · 经济学 2025-02-26 Georg Keilbar , Juan M. Rodriguez-Poo , Alexandra Soberon , Weining Wang
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