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Let $X$ be any subanalytic compact pseudomanifold. We show a De Rham theorem for $L^\infty$ forms. We prove that the cohomology of $L^\infty$ forms is isomorphic to intersection cohomology in the maximal perversity.

代数几何 · 数学 2012-07-09 Guillaume Valette

Leveraging the development of structural causal model (SCM), researchers can establish graphical models for exploring the causal mechanisms behind machine learning techniques. As the complexity of machine learning applications rises,…

机器学习 · 计算机科学 2024-06-19 Jiangmeng Li , Bin Qin , Qirui Ji , Yi Li , Wenwen Qiang , Jianwen Cao , Fanjiang Xu

A structural causal model is made of endogenous (manifest) and exogenous (latent) variables. We show that endogenous observations induce linear constraints on the probabilities of the exogenous variables. This allows to exactly map a causal…

人工智能 · 计算机科学 2020-08-04 Marco Zaffalon , Alessandro Antonucci , Rafael Cabañas

Causal inference quantifies cause-effect relationships by estimating counterfactual parameters from data. This entails using \emph{identification theory} to establish a link between counterfactual parameters of interest and distributions…

机器学习 · 统计学 2020-04-17 Jaron J. R. Lee , Ilya Shpitser

Dynamic structural causal models (SCMs) are a powerful framework for reasoning in dynamic systems about direct effects which measure how a change in one variable affects another variable while holding all other variables constant. The…

人工智能 · 计算机科学 2024-02-16 Simon Ferreira , Charles K. Assaad

Recent progress in Neural Causal Models (NCMs) showcased how identification and partial identification of causal effects can be automatically carried out via training of neural generative models that respect the constraints encoded in a…

机器学习 · 计算机科学 2025-06-17 Jiyuan Tan , Jose Blanchet , Vasilis Syrgkanis

In physical systems possessing symmetry, reconstructing the underlying causal structure from observational data constitutes an inverse problem of fundamental importance. In this work, we formulate the inverse problem of causal inference…

数学物理 · 物理学 2025-11-13 Isshin Arai , Tomoaki Itano

Structural causal models (SCMs), also known as (nonparametric) structural equation models (SEMs), are widely used for causal modeling purposes. In particular, acyclic SCMs, also known as recursive SEMs, form a well-studied subclass of SCMs…

统计方法学 · 统计学 2021-11-23 Stephan Bongers , Patrick Forré , Jonas Peters , Joris M. Mooij

Multi-level Hierarchical Classification (MLHC) tackles the challenge of categorizing items within a complex, multi-layered class structure. However, traditional MLHC classifiers often rely on a backbone model with independent output layers,…

Subgraph isomorphism counting is known as #P-complete and requires exponential time to find the accurate solution. Utilizing representation learning has been shown as a promising direction to represent substructures and approximate the…

机器学习 · 计算机科学 2024-05-14 Xin Liu , Weiqi Wang , Jiaxin Bai , Yangqiu Song

This paper investigates the reliability of explanations generated by large language models (LLMs) when prompted to explain their previous output. We evaluate two kinds of such self-explanations - extractive and counterfactual - using three…

计算与语言 · 计算机科学 2025-02-03 Korbinian Randl , John Pavlopoulos , Aron Henriksson , Tony Lindgren

In eXplainable Artificial Intelligence (XAI), instance-based explanations for time series have gained increasing attention due to their potential for actionable and interpretable insights in domains such as healthcare. Addressing the…

机器学习 · 计算机科学 2026-01-21 Maciej Mozolewski , Betül Bayrak , Kerstin Bach , Grzegorz J. Nalepa

Conformal prediction (CP) is widely presented as distribution-free predictive inference with finite-sample marginal coverage under exchangeability. We argue that CP is best understood as a rank-calibrated descendant of the…

统计理论 · 数学 2025-12-30 Jyotishka Datta , Nicholas G. Polson , Vadim Sokolov , Daniel Zantedeschi

We propose nonparametric identification and semiparametric estimation of joint potential outcome distributions in the presence of confounding. First, in settings with observed confounding, we derive tighter, covariate-informed bounds on the…

统计方法学 · 统计学 2026-02-19 Jianle Sun , Kun Zhang

Counterfactual image editing is an important task in generative AI, which asks how an image would look if certain features were different. The current literature on the topic focuses primarily on changing individual features while remaining…

计算机视觉与模式识别 · 计算机科学 2024-03-18 Yushu Pan , Elias Bareinboim

Linear causal models are important tools for modeling causal dependencies and yet in practice, only a subset of the variables can be observed. In this paper, we examine the parameter identifiability of these models by investigating whether…

机器学习 · 计算机科学 2025-02-11 Xinshuai Dong , Ignavier Ng , Biwei Huang , Yuewen Sun , Songyao Jin , Roberto Legaspi , Peter Spirtes , Kun Zhang

Causality is vital for understanding true cause-and-effect relationships between variables within predictive models, rather than relying on mere correlations, making it highly relevant in the field of Explainable AI. In an automated…

机器学习 · 计算机科学 2024-08-28 Arturo Fredes , Jordi Vitria

A growing family of approaches to causal inference rely on Bayesian formulations of assumptions that go beyond causal graph structure. For example, Bayesian approaches have been developed for analyzing instrumental variable designs,…

机器学习 · 计算机科学 2022-11-01 Sam Witty , David Jensen , Vikash Mansinghka

We consider the task of counterfactual estimation from observational imaging data given a known causal structure. In particular, quantifying the causal effect of interventions for high-dimensional data with neural networks remains an open…

机器学习 · 计算机科学 2022-02-22 Pedro Sanchez , Sotirios A. Tsaftaris

Counterfactual examples for an input -- perturbations that change specific features but not others -- have been shown to be useful for evaluating bias of machine learning models, e.g., against specific demographic groups. However,…

计算机视觉与模式识别 · 计算机科学 2022-01-07 Saloni Dash , Vineeth N Balasubramanian , Amit Sharma