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Considering discrete models, the univariate framework has been studied in depth compared to the multivariate one. This paper first proposes two criteria to define a sensu stricto multivariate discrete distribution. It then introduces the…

统计理论 · 数学 2018-02-07 Pierre Fernique , Jean Peyhardi , Jean-Baptiste Durand

We describe a method for inferring linear causal relations among multi-dimensional variables. The idea is to use an asymmetry between the distributions of cause and effect that occurs if both the covariance matrix of the cause and the…

机器学习 · 统计学 2009-09-25 Dominik Janzing , Patrik O. Hoyer , Bernhard Schoelkopf

Counterfactuals refer to minimally edited inputs that cause a model's prediction to change, serving as a promising approach to explaining the model's behavior. Large language models (LLMs) excel at generating English counterfactuals and…

Method validation and study design in causal inference rely on synthetic data with known counterfactuals. Existing simulators trade off distributional realism, the ability to capture mixed-type and multimodal tabular data, against causal…

统计方法学 · 统计学 2026-03-05 Qi Zhang , Harsh Parikh , Ashley Naimi , Razieh Nabi , Christopher Kim , Timothy Lash

The major sources of abundant data are constantly expanding with the available data collection methodologies in various applications - medical, insurance, scientific, bio-informatics and business. These data sets may be distributed…

分布式、并行与集群计算 · 计算机科学 2016-06-24 Aruna Govada , Sanjay K. Sahay

Diffusion models achieve state-of-the-art performance in various generation tasks. However, their theoretical foundations fall far behind. This paper studies score approximation, estimation, and distribution recovery of diffusion models,…

机器学习 · 计算机科学 2023-02-15 Minshuo Chen , Kaixuan Huang , Tuo Zhao , Mengdi Wang

Diffusion probabilistic models (DPMs) have become the state-of-the-art in high-quality image generation. However, DPMs have an arbitrary noisy latent space with no interpretable or controllable semantics. Although there has been significant…

机器学习 · 计算机科学 2024-08-27 Aneesh Komanduri , Chen Zhao , Feng Chen , Xintao Wu

Counterfactual fairness alleviates the discrimination between the model prediction toward an individual in the actual world (observational data) and that in counterfactual world (i.e., what if the individual belongs to other sensitive…

机器学习 · 计算机科学 2023-03-28 Tri Dung Duong , Qian Li , Guandong Xu

Selection bias, arising from the systematic inclusion or exclusion of certain samples, poses a significant challenge to the validity of causal inference. While Bareinboim et al. introduced methods for recovering unbiased observational and…

统计方法学 · 统计学 2025-06-05 Jingyang He , Shuai Wang , Ang Li

Graphical models have become a very popular tool for representing dependencies within a large set of variables and are key for representing causal structures. We provide results for uniform inference on high-dimensional graphical models…

统计方法学 · 统计学 2018-12-04 Sven Klaassen , Jannis Kück , Martin Spindler , Victor Chernozhukov

This article focuses on covariance estimation for multi-view data. Popular approaches rely on factor-analytic decompositions that have shared and view-specific latent factors. Posterior computation is conducted via expensive and brittle…

统计方法学 · 统计学 2026-04-20 Lorenzo Mauri , David B. Dunson

Counterfactual explanations provide ways of achieving a favorable model outcome with minimum input perturbation. However, counterfactual explanations can also be leveraged to reconstruct the model by strategically training a surrogate model…

机器学习 · 计算机科学 2024-11-13 Pasan Dissanayake , Sanghamitra Dutta

We study counterfactual classification as a new tool for decision-making under hypothetical (contrary to fact) scenarios. We propose a doubly-robust nonparametric estimator for a general counterfactual classifier, where we can incorporate…

机器学习 · 计算机科学 2023-01-31 Kwangho Kim , Edward H. Kennedy , José R. Zubizarreta

Causal effects are often characterized with averages, which can give an incomplete picture of the underlying counterfactual distributions. Here we consider estimating the entire counterfactual density and generic functionals thereof. We…

统计方法学 · 统计学 2021-02-25 Edward H. Kennedy , Sivaraman Balakrishnan , Larry Wasserman

Counterfactual explanations are a common approach to providing recourse to data subjects. However, current methodology can produce counterfactuals that cannot be achieved by the subject, making the use of counterfactuals for recourse…

机器学习 · 计算机科学 2024-03-04 Alexander Asemota , Giles Hooker

The adoption of increasingly complex deep models has fueled an urgent need for insight into how these models make predictions. Counterfactual explanations form a powerful tool for providing actionable explanations to practitioners.…

机器学习 · 计算机科学 2024-11-05 Paraskevas Pegios , Aasa Feragen , Andreas Abildtrup Hansen , Georgios Arvanitidis

There is a broad consensus on the importance of deep learning models in tasks involving complex data. Often, an adequate understanding of these models is required when focusing on the transparency of decisions in human-critical…

Standard causal inference characterizes treatment effect through averages, but the counterfactual distributions could be different in not only the central tendency but also spread and shape. To provide a comprehensive evaluation of…

统计方法学 · 统计学 2022-11-04 Steven G. Xu , Shu Yang , Brian J. Reich

Quantile regression (QR) is becoming increasingly popular due to its relevance in many scientific investigations. There is a great amount of work about linear and nonlinear QR models. Specifically, nonparametric estimation of the…

统计方法学 · 统计学 2020-01-13 Eliana Christou

Counterfactual explanations (CE) are the de facto method for providing insights into black-box decision-making models by identifying alternative inputs that lead to different outcomes. However, existing CE approaches, including group and…

人工智能 · 计算机科学 2025-03-13 Lei You , Lele Cao , Mattias Nilsson , Bo Zhao , Lei Lei