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Causal identification is at the core of the causal inference literature, where complete algorithms have been proposed to identify causal queries of interest. The validity of these algorithms hinges on the restrictive assumption of having…

Machine Learning · Computer Science 2023-10-30 Sina Akbari , Fateme Jamshidi , Ehsan Mokhtarian , Matthew J. Vowels , Jalal Etesami , Negar Kiyavash

We develop two different methods to achieve subexponential time parameterized algorithms for problems on sparse directed graphs. We exemplify our approaches with two well studied problems. For the first problem, {\sc $k$-Leaf…

Data Structures and Algorithms · Computer Science 2010-01-07 Frederic Dorn , Fedor V. Fomin , Daniel Lokshtanov , Venkatesh Raman , Saket Saurabh

Causal discovery, the task of inferring causal structure from data, has the potential to uncover mechanistic insights from biological experiments, especially those involving perturbations. However, causal discovery algorithms over larger…

Machine Learning · Computer Science 2025-04-01 Menghua Wu , Yujia Bao , Regina Barzilay , Tommi Jaakkola

Identifying vanilla Bayesian network to model spatial-temporal causality can be a critical yet challenging task. Different Markovian-equivalent directed acyclic graphs would be identified if the identifiability is not satisfied. To address…

Artificial Intelligence · Computer Science 2025-08-04 Mingyu Kang , Duxin Chen , Ning Meng , Gang Yan , Wenwu Yu

Algorithms with predictions is a growing area that aims to leverage machine-learned predictions to design faster beyond-worst-case algorithms. In this paper, we use this framework to design a learned data structure for the incremental…

Data Structures and Algorithms · Computer Science 2026-04-30 Ronald Deng , Samuel McCauley , Aidin Niaparast , Helia Niaparast , Bennett Ptak , Shirel Quintanilla , Shikha Singh , Nathan Vosburg

Causal discovery is the subfield of causal inference concerned with estimating the structure of cause-and-effect relationships in a system of interrelated variables, as opposed to quantifying the strength or describing the form of causal…

Methodology · Statistics 2026-03-26 Rebecca F. Supple , Hannah Worthington , Ben Swallow

Recently, Bj{\o}ru et al. proposed a novel divide-and-conquer algorithm for bounding counterfactual probabilities in structural causal models (SCMs). They assumed that the SCMs were learned from purely observational data, leading to an…

Artificial Intelligence · Computer Science 2025-11-19 Anna Rodum Bjøru , Rafael Cabañas , Helge Langseth , Antonio Salmerón

Statistical shape modeling (SSM) directly from 3D medical images is an underutilized tool for detecting pathology, diagnosing disease, and conducting population-level morphology analysis. Deep learning frameworks have increased the…

Computer Vision and Pattern Recognition · Computer Science 2022-05-17 Jadie Adams , Shireen Elhabian

A foundational question in the theory of linear compartmental models is how to assess whether a model is structurally identifiable -- that is, whether parameter values can be inferred from noiseless data -- directly from the combinatorics…

Dynamical Systems · Mathematics 2024-02-19 Cashous Bortner , Elizabeth Gross , Nicolette Meshkat , Anne Shiu , Seth Sullivant

We present a constraint-based algorithm for learning causal structures from observational time-series data, in the presence of latent confounders. We assume a discrete-time, stationary structural vector autoregressive process, with both…

Artificial Intelligence · Computer Science 2023-06-02 Raanan Y. Rohekar , Shami Nisimov , Yaniv Gurwicz , Gal Novik

Symbolic regression is a type of discrete optimization problem that involves searching expressions that fit given data points. In many cases, other mathematical constraints about the unknown expression not only provide more information…

Machine Learning · Computer Science 2021-02-16 Li Li , Minjie Fan , Rishabh Singh , Patrick Riley

Causal analysis based on non-uniform embedding schemes is an important way to detect the underlying interactions between dynamic systems. However, there are still some obstacles to estimate high-dimensional conditional mutual information…

Methodology · Statistics 2020-02-19 Ziyu Jia , Youfang Lin , Zehui Jiao , Yan Ma , Jing Wang

Estimating causal effects from observational data remains a fundamental challenge in causal inference, especially in the presence of latent confounders. This paper focuses on estimating causal effects in Gaussian Linear Structural Causal…

Machine Learning · Computer Science 2026-01-09 Aurghya Maiti , Prateek Jain

Decision trees are commonly used predictive models due to their flexibility and interpretability. This paper is directed at quantifying the uncertainty of decision tree predictions by employing a Bayesian inference approach. This is…

Machine Learning · Computer Science 2024-03-28 Jodie A. Cochrane , Adrian Wills , Sarah J. Johnson

Dynamic regression trees are an attractive option for automatic regression and classification with complicated response surfaces in on-line application settings. We create a sequential tree model whose state changes in time with the…

Methodology · Statistics 2010-11-23 Matthew A. Taddy , Robert B. Gramacy , Nicholas G. Polson

Coupled dynamical systems are frequently observed in nature, but often not well understood in terms of their causal structure without additional domain knowledge about the system. Especially when analyzing observational time series data of…

Machine Learning · Statistics 2021-10-26 Will Glad , Thomas Woolf

Causal Bayesian networks are widely used tools for summarising the dependencies between variables and elucidating their putative causal relationships. By restricting the search to trees, for example, learning the optimum from data is…

Computation · Statistics 2025-03-10 Felix L. Rios , Giusi Moffa , Jack Kuipers

Deep learning (DL) has recently drawn much attention in image analysis, natural language process, and high-dimensional medical data analysis. Under the causal direct acyclic graph (DAG) interpretation, the input variables without incoming…

Applications · Statistics 2022-03-22 Jong-Hyeon Jeong , Yichen Jia

We consider the task of learning Ising models when the signs of different random variables are flipped independently with possibly unequal, unknown probabilities. In this paper, we focus on the problem of robust estimation of…

Machine Learning · Statistics 2020-06-11 Ashish Katiyar , Vatsal Shah , Constantine Caramanis

The paper concerns the problem of predicting the effect of actions or interventions on a system from a combination of (i) statistical data on a set of observed variables, and (ii) qualitative causal knowledge encoded in the form of a…

Artificial Intelligence · Computer Science 2012-07-02 Carlos Brito , Judea Pearl