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The Classical Tukey-Huber Contamination Model (CCM) is a usual framework to describe the mechanism of outliers generation in robust statistics. In a data set with $n$ observations and $p$ variables, under the CCM, an outlier is a unit, even…

统计理论 · 数学 2014-07-15 Claudio Agostinelli , Victor J. Yohai

Constraint-based methods are one of the main approaches for causal structure learning that are particularly valued as they are asymptotically guaranteed to find a structure that is Markov equivalent to the causal graph of the system. On the…

机器学习 · 计算机科学 2021-05-24 Ehsan Mokhtarian , Sina Akbari , AmirEmad Ghassami , Negar Kiyavash

World modelling, i.e. building a representation of the rules that govern the world so as to predict its evolution, is an essential ability for any agent interacting with the physical world. Despite their impressive performance, many…

机器学习 · 计算机科学 2025-05-06 Francesco Petri , Luigi Asprino , Aldo Gangemi

Modelling the transmission dynamics of an infectious disease is a complex task. Not only it is difficult to accurately model the inherent non-stationarity and heterogeneity of transmission, but it is nearly impossible to describe,…

统计计算 · 统计学 2023-07-19 Sanmitra Ghosh , Paul J. Birrell , Daniela De Angelis

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

The ability to interpret and intervene model decisions is important for the adoption of computer-aided diagnosis methods in clinical workflows. Recent concept-based methods link the model predictions with interpretable concepts and modify…

Epidemic models describe the evolution of a communicable disease over time. These models are often modified to include the effects of interventions (control measures) such as vaccination, social distancing, school closings etc. Many such…

统计方法学 · 统计学 2026-01-27 Heejong Bong , Valérie Ventura , Larry Wasserman

Knowledge of the underlying causal relations is essential for inferring the effect of interventions in complex systems. In a widely studied approach, structural causal models postulate noisy functional relations among interacting variables,…

统计方法学 · 统计学 2024-06-21 David Strieder , Mathias Drton

Human mobility is a key factor in spatial disease dynamics and related phenomena. In computational models host mobility is typically modelled by diffusion in space or on metapolulation networks. Alternatively, an effective force of…

物理与社会 · 物理学 2012-03-07 Vitaly Belik , Theo Geisel , Dirk Brockmann

This paper considers the state reconstruction problem for discrete-time cyber-physical systems when some of the sensors can be arbitrarily corrupted by malicious attacks where the attacked sensors belong to an unknown set. We first prove…

系统与控制 · 电气工程与系统科学 2025-04-29 Wei Liu

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

Explanatory studies, such as randomized controlled trials, are targeted to extract the true causal effect of interventions on outcomes and are by design adjusted for covariates through randomization. On the contrary, observational studies…

统计方法学 · 统计学 2022-05-02 Riddhiman Adib , Sheikh Iqbal Ahamed , Mohammad Adibuzzaman

Models that learn spurious correlations from training data often fail when deployed in new environments. While many methods aim to learn invariant representations to address this, they often underperform standard empirical risk minimization…

机器学习 · 计算机科学 2025-11-11 Ruqi Bai , Yao Ji , Zeyu Zhou , David I. Inouye

Algorithms for constraint-based causal discovery select graphical causal models among a space of possible candidates (e.g., all directed acyclic graphs) by executing a sequence of conditional independence tests. These may be used to inform…

统计方法学 · 统计学 2025-09-19 Ting-Hsuan Chang , Zijian Guo , Daniel Malinsky

In this work, we present sequence-driven structural causal models (SD-SCMs), a framework for specifying causal models with user-defined structure and language-model-defined mechanisms. We characterize how an SD-SCM enables sampling from…

计算与语言 · 计算机科学 2025-09-24 Lucius E. J. Bynum , Kyunghyun Cho

Distinguishing cause from effect is a scientific challenge resisting solutions from mathematics, statistics, information theory and computer science. Compression-Complexity Causality (CCC) is a recently proposed interventional measure of…

数据分析、统计与概率 · 物理学 2022-04-26 Aditi Kathpalia , Pouya Manshour , Milan Paluš

Instrumental variable methods are widely used for causal inference, but identification becomes especially challenging when instruments are weak and potentially invalid. These challenges are particularly pronounced in Mendelian…

统计方法学 · 统计学 2026-04-01 Di Zhang , Minhao Yao , Zhonghua Liu , Baoluo Sun

For model-based estimation methods, the modeling that is as close to reality as possible makes a vital estimation result. In simple applications, it is sufficient to model a system with a single state space model. However, there are…

系统与控制 · 电气工程与系统科学 2022-07-12 Sebastian Dingler

We propose a method for inference on moderately high-dimensional, nonlinear, non-Gaussian, partially observed Markov process models for which the transition density is not analytically tractable. Markov processes with intractable transition…

统计方法学 · 统计学 2020-04-02 Joonha Park , Edward L. Ionides

Many spatial phenomena exhibit treatment interference where treatments at one location may affect the response at other locations. Because interference violates the stable unit treatment value assumption, standard methods for causal…

统计方法学 · 统计学 2020-07-02 Andrew Giffin , Brian Reich , Shu Yang , Ana Rappold