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Intersection homology is defined for simplicial, singular and PL chains and it is well known that the three versions are isomorphic for a full filtered simplicial complex. In the literature, the isomorphism, between the singular and the…

代数拓扑 · 数学 2025-10-15 David Chataur , Martin Saralegi-Aranguren , Daniel Tanré

Concept-based explanations quantify how high-level concepts (e.g., gender or experience) influence model behavior, which is crucial for decision-makers in high-stakes domains. Recent work evaluates the faithfulness of such explanations by…

计算与语言 · 计算机科学 2026-01-21 Gilat Toker , Nitay Calderon , Ohad Amosy , Roi Reichart

We introduce a new framework for characterizing identified sets of structural and counterfactual parameters in econometric models. By reformulating the identification problem as a set membership question, we leverage the separating…

计量经济学 · 经济学 2024-12-31 Irene Botosaru , Isaac Loh , Chris Muris

Counterfactual examples have proven to be valuable in the field of natural language processing (NLP) for both evaluating and improving the robustness of language models to spurious correlations in datasets. Despite their demonstrated…

机器学习 · 计算机科学 2023-11-01 Tiep Le , Vasudev Lal , Phillip Howard

Convergent Cross-Mapping (CCM) is a technique for computing specific kinds of correlations between sets of times series. It was introduced by Sugihara et al. and is reported to be "a necessary condition for causation" capable of…

数据分析、统计与概率 · 物理学 2014-12-02 James M. McCracken , Robert S. Weigel

We present a new method for counterfactual explanations (CFEs) based on Bayesian optimisation that applies to both classification and regression models. Our method is a globally convergent search algorithm with support for arbitrary…

机器学习 · 计算机科学 2021-06-30 Thomas Spooner , Danial Dervovic , Jason Long , Jon Shepard , Jiahao Chen , Daniele Magazzeni

Let $F$ be a CM field. In this paper, we prove the local-global compatibility for cohomological cuspidal automorphic representations of $\mathrm{GL}_n(\mathbb{A}_F)$ at $p \neq l$ by using certain potential automorphy theorems in some cases…

数论 · 数学 2025-12-02 Kojiro Matsumoto

Reasoning about the effect of interventions and counterfactuals is a fundamental task found throughout the data sciences. A collection of principles, algorithms, and tools has been developed for performing such tasks in the last decades…

统计方法学 · 统计学 2023-02-08 Tara V. Anand , Adèle H. Ribeiro , Jin Tian , Elias Bareinboim

The capacity to address counterfactual "what if" inquiries is crucial for understanding and making use of causal influences. Traditional counterfactual inference, under Pearls' counterfactual framework, typically depends on having access to…

机器学习 · 计算机科学 2024-02-29 Shaoan Xie , Biwei Huang , Bin Gu , Tongliang Liu , Kun Zhang

We study isoparametric hypersurfaces, whose principal curvatures are all constant, in the pseudo-Riemannian space forms. In this paper, we investigate two topics. Firstly, according to representations of Clifford algebras, we give a…

微分几何 · 数学 2023-08-28 Yuta Sasahara

Existing tools for explaining complex models and systems are associational rather than causal and do not provide mechanistic understanding. We propose a new notion called counterfactual explainability for causal attribution that is…

机器学习 · 统计学 2025-10-07 Zijun Gao , Qingyuan Zhao

Quantifying cause and effect relationships is an important problem in many domains. The gold standard solution is to conduct a randomised controlled trial. However, in many situations such trials cannot be performed. In the absence of such…

统计方法学 · 统计学 2023-01-19 Jakob Zeitler , Athanasios Vlontzos , Ciaran M. Gilligan-Lee

Causal Inference offers a fundamental approach for advancing empirical software engineering (ESE) beyond traditional statistical association, enabling researchers to rigorously identify and quantify causal relationships in software…

We developed a novel approach to identification and model testing in linear structural equation models (SEMs) based on auxiliary variables (AVs), which generalizes a widely-used family of methods known as instrumental variables. The…

统计方法学 · 统计学 2019-10-09 Bryant Chen , Daniel Kumor , Elias Bareinboim

We lower substantially the strength of the assumptions needed for the validity of certain results in category theory and homotopy theory which were known to follow from Vopenka's principle. We prove that the necessary large-cardinal…

范畴论 · 数学 2012-12-04 Joan Bagaria , Carles Casacuberta , A. R. D. Mathias , Jiri Rosicky

Counterfactual explanations utilize feature perturbations to analyze the outcome of an original decision and recommend an actionable recourse. We argue that it is beneficial to provide several alternative explanations rather than a single…

机器学习 · 计算机科学 2023-01-24 Natraj Raman , Daniele Magazzeni , Sameena Shah

Many causal discovery algorithms, including the celebrated FCI algorithm, output a Partial Ancestral Graph (PAG). PAGs serve as an abstract graphical representation of the underlying causal structure, modeled by directed acyclic graphs with…

统计方法学 · 统计学 2026-03-30 Leihao Chen , Joris M. Mooij

Finding structural similarities in graph data, like social networks, is a far-ranging task in data mining and knowledge discovery. A (conceptually) simple reduction would be to compute the automorphism group of a graph. However, this…

社会与信息网络 · 计算机科学 2020-02-28 Stephan Doerfel , Tom Hanika , Gerd Stumme

Automated clinical risk prediction from electronic health records (EHRs) demands modeling both structured diagnostic codes and unstructured narrative notes. However, most prior approaches either handle these modalities separately or rely on…

计算与语言 · 计算机科学 2025-09-26 Xin Zhang , Qiyu Wei , Yingjie Zhu , Fanyi Wu , Sophia Ananiadou

We study a specific type of SCM, called a Dynamic Structural Causal Model (DSCM), whose endogenous variables represent functions of time, which is possibly cyclic and allows for latent confounding. As a motivating use-case, we show that…

统计理论 · 数学 2024-07-23 Philip Boeken , Joris M. Mooij