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While it's always possible to compute a variational approximation to a posterior distribution, it can be difficult to discover problems with this approximation. We propose two diagnostic algorithms to alleviate this problem. The…

机器学习 · 统计学 2018-10-15 Yuling Yao , Aki Vehtari , Daniel Simpson , Andrew Gelman

A semi-parametric, non-linear regression model in the presence of latent variables is introduced. These latent variables can correspond to unmodeled phenomena or unmeasured agents in a complex networked system. This new formulation allows…

机器学习 · 统计学 2018-06-29 Jonathan Mei , José M. F. Moura

The cold-start initialization stage plays a pivotal role in training Multimodal Large Reasoning Models (MLRMs), yet its mechanisms remain insufficiently understood. To analyze this stage, we introduce the Visual Attention Score (VAS), an…

计算机视觉与模式识别 · 计算机科学 2026-03-05 Ruilin Luo , Chufan Shi , Yizhen Zhang , Cheng Yang , Songtao Jiang , Tongkun Guan , Ruizhe Chen , Ruihang Chu , Peng Wang , Mingkun Yang , Yujiu Yang , Junyang Lin , Zhibo Yang

Addressing the limitations of individual attribution scores via the Shapley value (SV), the field of explainable AI (XAI) has recently explored intricate interactions of features or data points. In particular, extensions of the SV, such as…

计算机科学与博弈论 · 计算机科学 2024-03-04 Patrick Kolpaczki , Maximilian Muschalik , Fabian Fumagalli , Barbara Hammer , Eyke Hüllermeier

The conversion between different spherical image and video projection formats requires highly accurate resampling techniques in order to minimize the inevitable loss of information. Suitable resampling algorithms such as nearest neighbor,…

图像与视频处理 · 电气工程与系统科学 2023-12-15 Andy Regensky , Viktoria Heimann , Ruoyu Zhang , André Kaup

Following up on the success of the analysis of variance (ANOVA) decomposition and the Sobol indices (SI) for global sensitivity analysis, various related quantities of interest have been defined in the literature including the effective and…

数值分析 · 计算机科学 2017-12-06 Rafael Ballester-Ripoll , Enrique G. Paredes , Renato Pajarola

Optimizing risk measures such as Value-at-Risk (VaR) and Conditional Value-at-Risk (CVaR) of a general loss distribution is usually difficult, because 1) the loss function might lack structural properties such as convexity or…

最优化与控制 · 数学 2016-08-03 Helin Zhu , Joshua Hale , Enlu Zhou

Vector autoregressions (VARs) with multivariate stochastic volatility are widely used for structural analysis. Often the structural model identified through economically meaningful restrictions--e.g., sign restrictions--is supposed to be…

计量经济学 · 经济学 2022-07-11 Joshua Chan , Eric Eisenstat , Xuewen Yu

Visual Autoregressive (VAR) modeling approach for image generation proposes autoregressive processing across hierarchical scales, decoding multiple tokens per scale in parallel. This method achieves high-quality generation while…

计算机视觉与模式识别 · 计算机科学 2025-12-04 Hong-Kai Zheng , Piji Li

Vision-Language-Action (VLA) policies often fail under distribution shift, suggesting that decisions may depend on spurious visual correlations rather than task-relevant causes. We formulate visual-action attribution as an interventional…

机器人学 · 计算机科学 2026-05-04 Hanxin Zhang , Mingshuo Xu , Abdulqader Dhafer , Shigang Yue , Hongbiao Dong , Zhou Daniel Hao

Fast and accurate estimation of sensitivity matrices is significant for the enhancement of distribution system modeling and automation. Analytical estimations have mainly focused on voltage magnitude sensitivity to active/reactive power…

系统与控制 · 电气工程与系统科学 2023-04-20 Salish Maharjan , Rui Cheng , Zhaoyu Wang

Chaos expansions are widely used in global sensitivity analysis (GSA), as they leverage orthogonal bases of L2 spaces to efficiently compute Sobol' indices, particularly in data-scarce settings. When derivatives are available, we argue that…

统计理论 · 数学 2025-10-06 O Roustant , N Lüthen , D Heredia , B Sudret

A fundamental question on the use of ML models concerns the explanation of their predictions for increasing transparency in decision-making. Although several interpretability methods have emerged, some gaps regarding the reliability of…

机器学习 · 统计学 2022-09-13 Gilson Y. Shimizu , Rafael Izbicki , Andre C. P. L. F. de Carvalho

This study introduces Variational Automatic Relevance Determination (VARD), a novel approach tailored for fitting sparse additive regression models in high-dimensional settings. VARD distinguishes itself by its ability to independently…

统计方法学 · 统计学 2024-11-04 Zihe Liu , Diptarka Saha , Feng Liang

Variance-based global sensitivity analysis (GSA) can provide a wealth of information when applied to complex models. A well-known Achilles' heel of this approach is its computational cost which often renders it unfeasible in practice. An…

数值分析 · 数学 2026-01-08 John Darges , Alen Alexanderian , Pierre Gremaud

Weighting methods are popular tools for estimating causal effects; assessing their robustness under unobserved confounding is important in practice. In the following paper, we introduce a new set of sensitivity models called "variance-based…

统计方法学 · 统计学 2023-03-14 Melody Huang , Samuel D. Pimentel

Interpretability is becoming an active research topic as machine learning (ML) models are more widely used to make critical decisions. Tabular data is one of the most commonly used modes of data in diverse applications such as healthcare…

机器学习 · 统计学 2021-12-01 Amirata Ghorbani , Dina Berenbaum , Maor Ivgi , Yuval Dafna , James Zou

Global variance-based reliability sensitivity indices arise from a variance decomposition of the indicator function describing the failure event. The first-order indices reflect the main effect of each variable on the variance of the…

统计方法学 · 统计学 2024-03-20 Iason Papaioannou , Daniel Straub

We propose a new statistical estimation framework for a large family of global sensitivity analysis methods. Our approach is based on rank statistics and uses an empirical correlation coefficient recently introduced by Sourav Chatterjee. We…

统计理论 · 数学 2023-06-29 Fabrice Gamboa , Pierre Gremaud , Thierry Klein , Agnès Lagnoux

Weighted Poincar\'e-type and related inequalities provide upper bounds of the variance of functions. Their application in sensitivity analysis allows for quickly identifying the active inputs. Although the efficiency in prioritizing inputs…

概率论 · 数学 2019-12-06 Matieyendou Lamboni