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While probabilistic models describe the dependence structure between observed variables, causal models go one step further: they predict, for example, how cognitive functions are affected by external interventions that perturb neuronal…

神经元与认知 · 定量生物学 2021-04-12 Sebastian Weichwald , Jonas Peters

Causal Bayesian networks are 'causal' models since they make predictions about interventional distributions. To connect such causal model predictions to real-world outcomes, we must determine which actions in the world correspond to which…

机器学习 · 统计学 2025-02-04 Frederik Hytting Jørgensen , Luigi Gresele , Sebastian Weichwald

We formulate a causal extension to the recently introduced paradigm of instance-wise feature selection to explain black-box visual classifiers. Our method selects a subset of input features that has the greatest causal effect on the models…

机器学习 · 计算机科学 2021-04-27 Pranoy Panda , Sai Srinivas Kancheti , Vineeth N Balasubramanian

We describe the interface between measure theoretic probability and causal inference by constructing causal models on probability spaces within the potential outcomes framework. We find that measure theory provides a precise and instructive…

统计理论 · 数学 2019-07-04 Irineo Cabreros , John D. Storey

Mathematical modeling of biological systems is crucial to effectively and efficiently developing treatments for medical conditions that plague humanity. Often, systems of ordinary differential equations are a traditional tool used to…

经典分析与常微分方程 · 数学 2015-09-01 Eric Jones , Peter Roemer , Mrinal Raghupathi , Stephen Pankavich

Seasonal variation in environmental variables, and in rates of contact among individuals, are fundamental drivers of infectious disease dynamics. Unlike most periodically-forced physical systems, for which the precise pattern of forcing is…

种群与进化 · 定量生物学 2019-08-09 Irena Papst , David J. D. Earn

Many methods for causal inference generate directed acyclic graphs (DAGs) that formalize causal relations between $n$ variables. Given the joint distribution on all these variables, the DAG contains all information about how intervening on…

Theoretical developments in sequential Bayesian analysis of multivariate dynamic models underlie new methodology for causal prediction. This extends the utility of existing models with computationally efficient methodology, enabling routine…

统计方法学 · 统计学 2024-06-05 Kevin Li , Graham Tierney , Christoph Hellmayr , Mike West

We develop a novel approach towards causal inference. Rather than structural equations over a causal graph, we learn stochastic differential equations (SDEs) whose stationary densities model a system's behavior under interventions. These…

机器学习 · 计算机科学 2024-03-19 Lars Lorch , Andreas Krause , Bernhard Schölkopf

Causal inference studies whether the presence of a variable influences an observed outcome. As measured by quantities such as the "average treatment effect," this paradigm is employed across numerous biological fields, from vaccine and drug…

This paper studies the problem of estimating the contributions of features to the prediction of a specific instance by a machine learning model and the overall contribution of a feature to the model. The causal effect of a feature…

机器学习 · 计算机科学 2022-06-24 Jiuyong Li , Ha Xuan Tran , Thuc Duy Le , Lin Liu , Kui Yu , Jixue Liu

In this paper, we first propose a diffusive pathogen infection model with general incidence rate which incorporates cell-to-cell transmission. By applying the theory of monotone dynamical systems, we prove that the model admits the global…

偏微分方程分析 · 数学 2026-02-24 Shohel Ahmed

This paper considers how to classify the effects of interventions in causal models for outcomes and exposures observed over time. First, we demonstrate the limitations of the most common uses of potential outcomes and causal directed…

统计方法学 · 统计学 2026-05-29 Russell Steele , Naftali Weinberger , Tess Baker , Ian Shrier

A clear definition of system dynamics modeling can provide shared understanding and clarify the impact of the field. We introduce a set of characteristics that define quantitative system dynamics, selected to capture core philosophy,…

系统与控制 · 电气工程与系统科学 2023-08-01 Asmeret Naugle , Saeed Langarudi , Timothy Clancy

Causal models have proven extremely useful in offering formal representations of causal relationships between a set of variables. Yet in many situations, there are non-causal relationships among variables. For example, we may want variables…

人工智能 · 计算机科学 2023-01-18 Sander Beckers , Joseph Y. Halpern , Christopher Hitchcock

Estimating causal effects from observational data requires identifying valid adjustment sets. This task is especially challenging in realistic settings where latent confounding and feedback loops are present. Existing approaches typically…

机器学习 · 计算机科学 2026-05-08 Ana Leticia Garcez Vicente , Gijs van Seeventer , Saber Salehkaleybar

Causal effect estimation is a critical task in statistical learning that aims to find the causal effect on subjects by identifying causal links between a number of predictor (or, explanatory) variables and the outcome of a treatment. In a…

统计方法学 · 统计学 2024-11-26 Tathagata Basu , Matthias C. M. Troffaes

We give a selective review of some recent developments in causal inference, intended for researchers who are not familiar with graphical models and causality, and with a focus on methods that are applicable to large data sets. We mainly…

统计方法学 · 统计学 2015-06-26 Marloes H. Maathuis , Preetam Nandy

COVID-19 has resulted in a public health global crisis. The pandemic control necessitates epidemic models that capture the trends and impacts on infectious individuals. Many exciting models can implement this but they lack practical…

计算机与社会 · 计算机科学 2021-04-13 Ou Deng , Kiichi Tago , Qun Jin

This paper discusses the fundamental principles of causal inference - the area of statistics that estimates the effect of specific occurrences, treatments, interventions, and exposures on a given outcome from experimental and observational…

统计方法学 · 统计学 2021-12-03 Francesca Dominici , Falco J. Bargagli-Stoffi , Fabrizia Mealli